diff --git "a/data/dm_maths/full_data_2/1421_11255.jsonl" "b/data/dm_maths/full_data_2/1421_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1421_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j(d) = -2*d + 22. Let f(t) = t**3 - 14*t**2 + 2*t - 17. Let r be f(14). Let v be j(r). Which is smaller: v or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2468*v - 252170. What is t(-102)?\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 + 30*l**4 + 10*l**3 - 80*l**2 - 15*l + 50 = 0 for l.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26282487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1987524 and 139\/236610?\nAnswer: 9937620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34976082 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 37. What is the greatest common factor of 39 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -40 (b) -5677 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-119)\/20)\/(-17)*(-24)\/6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 - 2*h + 2. Let z(a) = -6*a**3 + 2*a - 2. Suppose -4*x - 12 = -2*y, -y = -0*x + x - 3. What is y*o(m) + 3*z(m)?\nAnswer: 2*m**3 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2244 divided by 102\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-8)*-3 - ((-30)\/8)\/(-3). Let f(h) = h + 2. Calculate f(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 60.1982+-4\nAnswer: 56.1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102140, -204137, -306134, -408131, -510128?\nAnswer: -612125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 20*q - 16. Let d be n(-19). Suppose 2*o = -w + 58, -d*o + 28 = -2*o + w. What is the greatest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oto when three letters picked without replacement from kodooooktttkoo.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, 9.\nAnswer: -3, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 15 - 10 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 584 in 10\/9, 3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/588 + 2 + 4\/42. Let u(b) = -14*b + 10. Let t(y) = -3*y + 2. What is k*u(g) - 11*t(g)?\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 25944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476279 is divided by 237948.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1069 + -489. What are the prime factors of r?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/1960780 and -47\/8216.\nAnswer: 50980280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(9\/7) - 14) + (20 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from {r: 7, x: 1, t: 4, e: 4, v: 3}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 111245 = -221800. What are the prime factors of d?\nAnswer: 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3266400 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 777\/555 - (-67)\/(-30).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {o: 3, t: 3, b: 1, c: 7, s: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 16 = -50. Solve -3*o - 15 = -l, -2*o = -2*l + a + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 83, 157, 301, 539?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 102. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -4 - (2 - 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 <= 137\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227 - -226. Let z be (-3 - 3 - -5)*(f - -2). Sort 27, -4, z, 0 in decreasing order.\nAnswer: 27, 0, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -27 - (11 - 8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 309, 0.1, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 2*z + 0*z**3 - 1 + 3*z + 2*z**3 to g*z**2 + v*z**3 + m + s*z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 175 = 5*w, d - 23 = -0*d + 3*w. Let b = -36 + d. Calculate the common denominator of 13\/18 and (-1 - (-436)\/24) + b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -11*w**6\/10 - 2*w**3 + w**2\/2 + 47*w. What is the second derivative of r(i) wrt i?\nAnswer: -396*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/2351 at least as big as -1813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 14*i**2 + 17*i - 62. What is d(-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 85*h**2 + 190*h - 280.\nAnswer: 5*(h - 1)*(h + 4)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 + 3*v + 3. Let p(c) = 5*c**2 - 2*c - 2. Let d(h) = -6*p(h) - 4*y(h). Let u(l) = l**2. Calculate d(u(j)).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.51 + -29.51. Let w = -17.91 - 0.09. Let v = s - w. Which is greater: 5\/6 or v?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1 - (4 + -12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27709675 and 350.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + 5 - 5)*(-2*x + 0*x + 3*x) - x**3 - 2 + 2 + 2*x**3 + 4 - 4 to k*x**2 + u + y*x**3 + h*x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -31894000 to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-5)))\/(n\/(n**(-9)*n*n)*n*n*n*n))**50\/((n**(-2\/3))**(-50))**(2\/11) assuming n is positive.\nAnswer: n**(-10100\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7234934 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155024796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 964\/35 - 190\/7. Let r = 703\/1155 - 2\/231. Which is the nearest to i? (a) 0.5 (b) r (c) -8\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -117. Find the third derivative of -58*x - 63*x - 10 + 121*x - z*x**3 - 5*x**2 wrt x.\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 481 - 489*x + 481 + 3*x**2 + 0*x**2 to n*x + f + t*x**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 5, 25, 63, 125, 217, 345, 515?\n\"Answer: i**3 + i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/8216 and -15\/1456.\nAnswer: 115024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 316 = 5*a, -2*a + 252 = 2*a + 4*v. What is the remainder when a is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37556069225\/3718452 + -127\/195708. Let h = z - -10099. What is the common denominator of -145\/18 and h?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3 - 18073*l**2 + 37250*l?\nAnswer: -12*l - 36146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwiwwwwwwwiwwiw. What is prob of picking 3 w?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 23. Let j = 7593 + -7577. What is d(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/1 + (-74)\/(-26). Let b = -33\/5 + 34\/5. What is the nearest to 2\/5 in p, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-14) + 2780\/3080?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18)*(42\/(-12) - -2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2014 + 1929. Which is the biggest value? (a) 0.3 (b) -0.5 (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w + 17. Let z be p(-4). Let n be 36\/z + 8\/(-6)*-1. Solve -b + 2*v - 9 = 4*v, n = 4*v + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.04596 and -0.1?\nAnswer: 0.104596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2368592\nAnswer: -3\/2368592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11169 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 10, -14995?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 614 * -74059.\nAnswer: -45472226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3 - 4795\/4521 - (-425)\/660.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 4*h - 36 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 - 31*l - 14. Does 15 divide d(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2612.316 millennia?\nAnswer: 2612316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 18*m**2 - 4*m - 70. Let j be v(-18). Solve -6 = 3*r + 2*q, -3*q + 8 = -j*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95345472667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from vfpgbbpupfvupg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2297 + 2297 + 5*h**2. Let d(q) = -13*q**2 + 3*q. Determine u(d(y)).\nAnswer: 845*y**4 - 390*y**3 + 45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/10 - 7*d**4\/12 + 7*d**3\/3 + d**2 - 32*d. What are the prime factors of r(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*m - 6*m - 2*m)*(m - 2*m + 0*m)*(-7*m**2 - 15*m**2 - 6*m**2) as c*m + d + n*m**2 + x*m**4 + g*m**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2\/15, -1\/3, -0.3, -0.0527?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11040?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/23, 0.5, 70, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 - 4*m**2 - 15*m + 1. Let u(a) = -a**3 - 2*a**2 - 7*a. Let z = 6 - 8. Suppose 0 = 2*i - 3*i + 5. Let h(g) = i*u(g) + z*q(g). Determine h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 1. Suppose 3*u = 5 + 7. Suppose -3*j = -u - 5. Let k(x) be the third derivative of -x**4\/24 + x**3\/3 - x**2. Calculate j*k(f) - 5*m(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 60826710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4 + 9*l**3 - 3*l**2 - 9*l + 6 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 9*x**2 - 2*x + 17. Let z be l(-8). Let p = -36 - z. Which is the nearest to 2? (a) -4 (b) p (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 3*i + 2*i)*(-103 + 2301 + 281)*(2 - 4 + 4).\nAnswer: -4958*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 107874 + 3 + (-18)\/3. Let k = -25671 + w. What is k rounded to the nearest 1000?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -86.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2153470 + 311?\nAnswer: 2154001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*y**4 + 2658109*y**3 + 12141714*y**2 - 5617841*y + 604070 = 0. What is y?\nAnswer: -60407, -5, 2\/11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -324?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -1460978?\nAnswer: -1460985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 = 4. Suppose 2*i - 13 = h*i + 5*w, -2*i + 8 = -5*w. Which is bigger: i or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000117121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0773194us to nanoseconds.\nAnswer: 77.3194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 3. Let t(q) be the second derivative of q**2 + 0*q**3 - 1\/6*q**4 + 0 - 3*q. Let a(u) = 3*f(u) - 5*t(u). Solve a(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.29931ug to kilograms.\nAnswer: 0.00000005429931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5586 + -6407. Let o = -7770\/167 - -1007793\/1169. Let u = b + o. What is the common denominator of u and -9\/38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*u - d + 2, 3*d + 21 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -216*x - 499*x + 2100*x in the form q + h*x and give h.\nAnswer: 1385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0 (c) -64 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35724193807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.66 - -54.66. Let f = a + -70.3. Let u = f - -16. What is the closest to u in -2, 3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*k = -66*k - 1352. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -66335049.97023.\nAnswer: -66335050.07023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4)\/(9*(-13)\/78).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 198*t**2 + 3*t + 1160?\nAnswer: 396*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51741604 by 25870802.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, -23.\nAnswer: -23, -16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3859 and 3856 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3 - o + 5 - 7. Let r be a(-8). Suppose 2100000 = r*i - 2*i. Round i to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8.4 (b) -26 (c) -2 (d) -1 (e) -2\/29 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162554 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3 + sqrt(1216)*-2)*-4)**2.\nAnswer: 6144*sqrt(19) + 311872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24875886 divided by -12327.\nAnswer: -2018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101111100110001 (base 2) in base 3?\nAnswer: 21220020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000110 + -101110110001101111111?\nAnswer: -101110110010110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8082\/76645 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + 0*c - c + 3*c - 3*c + c + c + 0*c + c + (-3 - 1 + 6)*(0 + 0 + c) + 1 + 2*c - 1 + 1 - 1 - c - c - 2*c + 2*c + 2311425 + 114*c - 2311425.\nAnswer: 122*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 93 - 4645*t + 210 - 98.\nAnswer: -4645*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 10*t - t + (-2*t - t + 4*t)*(-1 - 3 + 14) - t + 2*t - 4*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + a + 1719*a**2 - 3621*a**2.\nAnswer: -1902*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 607.\nAnswer: -2\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 220663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + -92*(-5)\/20. What is the highest common divisor of v and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v - 1. Let i be (-10)\/3*45\/(-25). Calculate w(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let j be 1*-3*30\/9. Let q(x) = 8*x**2 + 2*x + 2. Let g(y) = -17*y**2 - 5*y - 5. Let c(o) = j*q(o) - 4*g(o). Determine c(w(s)).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 1:18 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 1:37 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0 + 3*x - 12*x + 2. Let y(s) = -4*s + 1. Let m = -41 - -35. What is m*g(q) + 14*y(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*t**4 + 0*t + 0 - 3*t**2 - 3\/2*t**3 = 0. What is t?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 578*c**3*q**2*w + 7*c**3*q**2 + 2*c**3*q + 30*c**3*w**2 + c*q**2*w**2 + q**2*w**2 - 2*w wrt w.\nAnswer: 60*c**3 + 2*c*q**2 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 255675.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11088*i + 293. Is d(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000170438 to 6 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 48*w - 165. Give x(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b + 455. Let i(q) = q**2 + 4*q - 231. Let x be i(-14). Let h = b - x. Solve h = -l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 296\/3*y - 302\/3*y**2 = 0.\nAnswer: -1, 3\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*q + 28 = 0, -2*f - 4*q + 9 = -11. What is the remainder when 15 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 v when four letters picked without replacement from {k: 10, v: 10}?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 16*v + 24*v + 2*v**2 + 5*v**2 - 35*v. Let y(s) be the second derivative of -s**4\/3 - s**3\/2 + 22*s + 5. Calculate -6*a(m) - 11*y(m).\nAnswer: 2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 719786 and 16558.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8406 - -8405.7. Which is the nearest to -1? (a) n (b) -86 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10201\/2 + 50601\/4*g - 29595\/4*g**2 - 3\/4*g**4 - 601\/4*g**3 = 0. What is g?\nAnswer: -101, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + r. Let t(w) = 4*w**3 + 2*w**2 + 5*w. Give -t(g) + 5*x(g).\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -374, 5, 1, 2 in descending order.\nAnswer: 5, 2, 1, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63970 is divided by 260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2234341 (base 5) to base 14.\nAnswer: 107d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + 26. Suppose 43*m - 103 = i. Let w = 0 - 0.5. What is the smallest value in -4, m, w, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14119*r**4 - 80*r**5 - 14119*r**4 + 5*r**5 - 2*r**5 - 2*r**5 + (-r**5 + 0*r**4 + 0*r**4)*(1 + 0 - 3) - 3*r**3 + 3*r**3 + 2*r**5.\nAnswer: -75*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzczcccccuxuccccut. What is prob of picking 1 u and 1 l?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6621 + 23?\nAnswer: 6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10 + (-275)\/(-375))\/((-1059)\/45890)?\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 808*h + 40804.\nAnswer: 4*(h - 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 9583*j\/4 + 4791\/2.\nAnswer: (j - 9582)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 10*h - 11. Let a be y(-7). Solve -l + a = -6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(450\/(-348)) + -21 - -1*(-4436)\/(-2676)\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 6*i - 4. Suppose 0 = 3*b - 4*b + 30. Let t be 15*-2*5\/b. What is y(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 0*r**3 - 16\/5*r**5 + 11*r + 0*r**2 + 9 + 0*r**4. What is the derivative of q(a) wrt a?\nAnswer: -64*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -164261? (a) -0.08 (b) -3 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 23 = 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l - 29 = 231. Which is smaller: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**(-44)\/(q\/q**(-2))**13)**(-48) assuming q is positive.\nAnswer: q**1168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 18 - ((-91)\/39 - (-5)\/(-3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 3 - (2 - (1 - 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135014082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**4 - 55086*s**3 + 882144*s**2 = 0.\nAnswer: -18378, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -261 - -316. What is the greatest common factor of 110 and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -151 in 1\/4, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(24)\/sqrt(12)) + 3)**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppbbuppbhxpbb. What is prob of sequence hbxp?\nAnswer: 1\/936","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.119 * -2\nAnswer: -0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30272 (base 9) to base 11.\nAnswer: -13a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 21. Let c be w(-6). Let i be ((-4)\/(-8))\/((-1)\/4). Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12.784683 nanoseconds?\nAnswer: 0.00000000021307805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 7*f = -11*f - 50. Do -7\/3 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 2:46 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64375, -126976, -189577, -252178?\nAnswer: -314779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -51) + (-5 - (24 - 12))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5987, 6607, 7227?\n\"Answer: 620*r + 5367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62270673?\nAnswer: 3, 1279, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -21*o**3 - 2*o**2 + 1. Let b be 52\/12 + 1\/(-3). Suppose 2*s - 151 = -147. Suppose -f = -s*a + 3, f - b*a + 11 = 4*f. Give j(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69, 71, 75, 81, 89, 99?\n\"Answer: x**2 - x + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 8.4 (b) -116 (c) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*sqrt(52)*-5)\/sqrt(4) + ((sqrt(416)\/(sqrt(8)*-1) - sqrt(52)) + sqrt(52))\/(sqrt(8)\/(sqrt(2)*1)).\nAnswer: 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 153785.3 weeks?\nAnswer: 93009349440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1332, -2663, -3994, -5325, -6656?\nAnswer: -7987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -59. Is m greater than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 314 (b) -3\/407 (c) -5 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 - 395132*g\/9 - 19516162178\/9.\nAnswer: -2*(g + 98783)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43220?\nAnswer: 2, 5, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1644*a - 145. Let i(x) = -x - 24. Give -6*i(l) + m(l).\nAnswer: 1650*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.51, 0.06436, -0.2, -5, 0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4536)*3 + (sqrt(56) - sqrt(2016))*-4)\/(-2*sqrt(8)*-1 + sqrt(72)\/(sqrt(54)\/sqrt(6))) + -5.\nAnswer: -5 + 47*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - 1.18. Let s = t + 0.9. Let d = s + 0.355. Round d to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7335 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/3 + -5. Which is the closest to j? (a) -0.14 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*s + 2 - 0, f = s. Let g be s\/2 - (3 + -5). Suppose -2*d = 4*c - 5*d - 21, -4*c - g*d = -27. What is the highest common divisor of 54 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -725*m**3 + 737*m**3 + 9*m + 1 - 20*m + m**2 in the form j*m**3 + n*m**2 + k*m + x and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6205 and 60?\nAnswer: 74460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -48 - 23*u + 6 - 1. What is the tens digit of g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(1 + sqrt(396) + -1)**2 + (sqrt(264)\/sqrt(6)*-4)\/(sqrt(4) - (-3*sqrt(36) - sqrt(4))).\nAnswer: -4752 - 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.6 + 0.4. Suppose 4*s + 60 = -s. Let i be ((-6)\/(-15))\/(s\/(-10)). What is the biggest value in 0.2, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.05 - 0.05. Let s = -4 + g. Let t = -3 - s. What is the third smallest value in t, 3, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f - 33*f + 825 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/24 and -91\/148.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 190.7 and 189635694.\nAnswer: 189635884.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 21*j - 14*j. Let r(y) = 1 - 1 - 5*y + 0 + 1. Calculate the remainder when j is divided by r(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175069574 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.81 in -6, 0.39, 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 2*v - 20 - 13.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -683 or -17094\/25?\nAnswer: -17094\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(12) - (sqrt(27))**2*-1).\nAnswer: -54 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-13) - 1458\/(-351). Let j(m) = -5*m**2 - 8*m + 11. Let v(y) = 2*y**2 + 3*y - 4. Determine k*j(r) + 11*v(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 565178605 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: List the prime factors of 98301084.\nAnswer: 2, 3, 7, 1170251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*w**4 + 0 - 2*w**3 - 5*w + 4*w**3 - 6 to the form u + y*w**4 + j*w**2 + c*w + b*w**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d - 90. What is the units digit of (d\/(-4))\/(1\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29232)\/21924)\/(2\/60).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 7*c = -j - 20, -2*j = -3*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*f - 9*f - 7*f)*(-2 - 1 + 1)*(2 + 3 - 4)*(-2 + 2 - 2) as l + a*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-54)\/4)\/((-5)\/30). What is the highest common factor of 27 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*p = -20, 0 = -3*i - 5*p + 2 - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214851 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(2 + (1 - 1)). Let k be (u - -15)*(2 - 1). Let h = k - 9. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 26*d - 25. Give s(26).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -226 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x + 8188*x**2 + 26*x.\nAnswer: 8188*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0133 - -9.\nAnswer: 9.0133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2418*y + 9663. Give n(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/30 + 2*2\/(-8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 23 = -4*v. What is the highest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 1\/3*p**3 + 0 + 15*p**2 + 1\/4*p**4 + 0*p. What is the units digit of y(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 6. Let m be 3 + 1148\/18 + 2. Let k = 69 - m. What is the closest to 1\/2 in b, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/((70\/(-2975))\/((-18)\/(-15)*15\/90))\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-144*l - 4769 + 4769).\nAnswer: 288*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 1. Let v(m) = 10*m + 16. Let y(q) = -5*q - 6. Let r(p) = 3*v(p) + 8*y(p). Give d(r(a)).\nAnswer: -100*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13163 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24332570*f**2 - 19885792*f.\nAnswer: 48665140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 352*o**4 - 351*o**4 + 26*o**2 - 1 + 2*o**2 + 3*o + 3 + 57*o**3 - 65*o**3 as m*o**4 + c*o + q*o**2 + a*o**3 + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.3 (c) 34 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12488754 is divided by 3122167.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k\/k**(-23))\/k)\/k**(-19))**43)**(-2\/75))**(-8) assuming k is positive.\nAnswer: k**(29584\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72571?\nAnswer: 31, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151 + 212. Suppose 3*i - 3*u - 138 = 6*i, n = -i - 4*u. Let s = -20 - i. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-312)\/(-273) + 108\/28 + -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2)*x*x)\/x)\/x)\/(x**(5\/6)\/x))\/(x*x**(1\/3))**23 assuming x is positive.\nAnswer: x**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 3*p + 31. Calculate the smallest common multiple of 10 and k(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268547 is divided by 286?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19641 + 0)*(-16 - 672\/(-36))?\nAnswer: 2, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-12))\/((-15)\/40*1). Let c = -6 + 9. What is the second derivative of 4*v + c*v**4 - 10*v**k - 19*v - 2*v**4 wrt v?\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6) + ((-208)\/(-195))\/16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzzx when four letters picked without replacement from {n: 1, z: 5, x: 3, d: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9)*r*r**48*r assuming r is positive.\nAnswer: r**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/10 + 15*d**4\/2 - 56*d**3 + 164*d**2 + 528*d. Let x(n) = 0. Calculate n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3979 + 3975. Put -2, j, 4, -11, 2 in increasing order.\nAnswer: -11, j, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -3*n - 40. Suppose 4*d + 12 = 4*w + 124, 2*d = -3*w - 59. Let u = w + n. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpj when three letters picked without replacement from pptptpj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117\/6*(-132)\/(-99) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9720 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75595 and 2.9.\nAnswer: -219225.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1455, -2932, -4409?\nAnswer: -5886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 902, 3600, 8096, 14390?\n\"Answer: 899*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 8. Is 530\/45 + 4\/p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3 (c) 0.11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-108)\/(-21)*(14\/(-3))\/(-1) and 12\/20 + 2\/(-10) - 1197\/(-95)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -64 - 162. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -10*j**4 + 71115*j**3\/2 - 1049470*j**2 + 1709970*j + 493640 = 0.\nAnswer: -1\/4, 2, 28, 3526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -84377978 less than -84377980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101 times 6\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11907205644 - -0.0833?\nAnswer: -11907205643.9167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/12 and 7\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 - -17.9. Let d = g - 2.1. Let s = -13 + d. Which is the closest to s? (a) 0 (b) -0.02 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 52982*u**3 - 52978*u**3 + 2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14*f**2 + 13*f - 1350. Give k(8).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*t**2\/5 - 1043742*t\/5 + 3984876\/5.\nAnswer: 2*(t - 47439)*(11*t - 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 12 = 7*g - 4*t, 3*t = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*d**5 + 2*d**4 + 4*d**3 - 13*d**2 + 16 wrt d.\nAnswer: -1860*d**2 + 48*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -15*j. Let a be b(-1). Is (205\/a)\/((-2)\/(-6)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59170390333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4979.51 - 4900. Let j = -63.8 - 15.2. Let q = v + j. What is q rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 7830 - 8775. Which is smaller: d or -1660\/49?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdhwthhwdh. What is prob of picking 1 d, 1 h, and 2 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/70 - 557\/210. Find the common denominator of d and (28\/10)\/(((-156)\/(-18))\/26).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -68, -247, -458, -701?\n\"Answer: -16*o**2 - 131*o + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 2\/9 (c) 0 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 73.69906922708?\nAnswer: 69.69906922708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1116 = 5*v + 1. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 85, 1\/965, -0.03, 4?\nAnswer: 1\/965","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 1.3. Which is the third smallest value? (a) u (b) 0.4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 494939711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let b(v) = 9276*v + 2. What is b(j(i))?\nAnswer: 9276*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1018*g**2 + 53*g**2 + 1517*g**2.\nAnswer: 2588*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 176 = -34. Let v(h) = 5*h**3 - 10*h**2 + 3*h + 17. Is 33 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1040914 and 83\/4990.\nAnswer: 5204570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 141690749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11028 or 10727?\nAnswer: 10727","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-1))\/((-1)\/(-3)). Let a(h) be the second derivative of -7*h**3\/6 + 2*h**2 + h + 370. Give a(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*r = 109*r. Solve r = 12*w - 7*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 6. Let a be g(-11). Let c = a - 17. Does 5 divide -2*(-1)\/c*-7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r**2 + r + 2. Let g = 33 + -34. What is the tens digit of y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*k - 25, -4*k = 3*f - 1 - 13. Suppose 4 = -4*c - k*q, -2*c - 4*q = 3*c + 5. Which is smaller: 3\/56 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*g - 12864 = 353*g. Put -3, g, -1 in ascending order.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-434)\/(-70) - 5 - 14 - 9\/(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + -116 + (-6 - -94)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 411600 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/4)\/(-4)*8\/28.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25241828 is divided by 101.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - 5*o + 8, -3*q = -4*o + 2. Solve c - 5*x + 9 = 0, -c + 3*x - 15 = q*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:34 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 986547 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Let i = w - 1. Let f be (12\/(-9) + i)*3240000. What is f rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6328966 plus 0.3?\nAnswer: -6328965.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1921, -21291, -73889, -176329, -345225, -597191?\nAnswer: -948841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1446*c = -3498*c + 108756 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a hour in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2515, -4725, -6255, -6733, -5787, -3045, 1865, 9315?\n\"Answer: 62*m**3 - 32*m**2 - 2548*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3406161 to 4 dps.\nAnswer: 0.3406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (675\/225)\/((-1)\/3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(2)*4 + sqrt(6))\/sqrt(3).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 640 divide 204076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:40 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 11:02 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230856, -230857, -230858, -230859, -230860, -230861?\nAnswer: -230862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1685*c**2. Let j(w) = 3*w**2. What is j(y(d))?\nAnswer: 8517675*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - -83 - (9 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552372 is divided by 1173.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*q**6 - q**4 - 1281*q**3 + 7*q**2 - 3*q?\nAnswer: 600*q**3 - 24*q - 7686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65902 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1841 or -23922\/13?\nAnswer: -1841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1439 at least as big as -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 u when three letters picked without replacement from {u: 3, v: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 1270*n + 1273*n - 27, y + 17 = 3*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -212610 divided by -1865?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from ddyyyyddxydydddxdydd?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + 5 + (6*(sqrt(637) + (sqrt(637) - sqrt(637)*-2*2)))**2.\nAnswer: 825553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -69214642 divided by 34607321?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 35 = -4*d. Let z(c) be the first derivative of 7 + 0*c**4 - 5\/2*c**d + 0*c + 0*c**3 - 3\/5*c**5. What is the second derivative of z(t) wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776.1532 weeks to hours.\nAnswer: 130393.7376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) -1\/14 (c) -0.2026 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/3 - 32*t**4\/3 + 22*t**3 + 172*t**2\/3 - 208*t\/3 = 0. What is t?\nAnswer: -2, 0, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 1a?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -5. Suppose -l*c + 42 = -7. Suppose 8*i - 42 = 2*i. Calculate the highest common divisor of i and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352, -1060, -2140, -3598, -5440?\nAnswer: -7672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/22 (b) 0.5 (c) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:44 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*j + 343*j - 77*j - 107*j - 76*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 + 8*r - 12. Let n be d(3). Find the second derivative of -4*l**n + 440*l - 2*l**2 + 0*l**2 - 277*l wrt l.\nAnswer: -24*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -739?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7*j)\/(j*j**(-6\/7)))\/((j*(j*j*j**(-6))\/j)\/j**(-17\/5)) assuming j is positive.\nAnswer: j**(296\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*c + 14198 = -4*c + 20008 for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*a + 68 = 0, -5*l - 2*a + 70 = 3*a. Is l\/(-24) + 434\/3 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -16, -199 in descending order.\nAnswer: 1, 0, -16, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55771?\nAnswer: 43, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from tzgzatzzaghxxxthazh?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -14848381\nAnswer: 74241905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**3 + 9*o**2 - 3*o + 3. Let q(r) = 9*r**3 - 17*r**2 + 6*r - 5. Let d(f) = 11*h(f) + 6*q(f). Let p be d(-4). Let g(l) = l - 5. Give g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 629175480 rounded to the nearest one million?\nAnswer: 629000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 2. Let g be n(2). Let j be ((-3)\/((-6)\/(-4)))\/(94\/(-423)). Solve 5*s + g = -j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10\/9 (b) 2\/7 (c) 0.12 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6)*-4)\/((-40)\/24)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*s = -j + 88, -3*s = -5*j + 132. Suppose -j = -3*p - 3*k, -p = -5*k + 3 + 7. Put -3, -11, p in descending order.\nAnswer: p, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/(-14)*16\/(-6). Let y be (-40)\/(-16)*o\/(-5). Suppose y*g = 4*g - 4. Put 1, g, -11 in descending order.\nAnswer: g, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14 - 19 + 10*y**2 + 0*y - 8 - y**3 - 6*y. Calculate b(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*r = 177 + 447 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 - 324*h**2\/5 - 252168*h\/5 - 23865584\/5.\nAnswer: 2*(h - 478)*(h + 158)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + v - 12)*(3*v**2 + 8*v - 8*v).\nAnswer: 3*v**3 - 48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -80*y**2 - 1527*y - 107. What is x(-19)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17*k**4 - 4*k**3 + 67*k + 211. Let a(j) = -16*j**4 + 3*j**3 - 69*j - 210. Let s(q) = -4*a(q) - 3*l(q). Differentiate s(n) with respect to n.\nAnswer: 52*n**3 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2. Let a(v) = 71*v - 12. Let h(y) = a(y) - 5*j(y). Let w(l) = -l**2. What is w(h(p))?\nAnswer: -5041*p**2 + 284*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77210.25 rounded to the nearest one hundred?\nAnswer: 77200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 18*g - 25. Let m be f(-17). Let t = m - 130. What is the tens digit of (-6)\/(-3) + t + 2 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 1, p: 1, l: 2}. Give prob of picking 1 k and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-10 - (-4 + -1 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3458867140.\nAnswer: 2, 5, 61, 2835137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4240 + -4243. Which is the third smallest value? (a) 3.2 (b) -0.01 (c) z (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-30)*(1 + -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11045096 * 0.3.\nAnswer: -3313528.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnm when three letters picked without replacement from nvvvvmvvwnmvwvwnv.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from xjxxfxmjb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/9)\/w)\/w)\/(w\/(w*w*w**(-2)*w)))**(1\/3)\/(w**(-1\/8)*w**(3\/4)\/w*w\/w**(-4\/7)*w**4) assuming w is positive.\nAnswer: w**(-8249\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 462*y + 1157 + 1881 = -196 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i*i)\/i)**37\/(i**(1\/4)*i)**(3\/5) assuming i is positive.\nAnswer: i**(145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 116, 134, 158, 188, 224?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -145.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x. Let a = -8 - -4. Let u(l) = l**3 + 4*l**2 + 2. Let i be u(a). Let n(p) = 2*p + p - i*p. Determine t(n(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6425 + 18?\nAnswer: 6440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 + 9 = 0. Let l(u) be the third derivative of u**6\/120 - u**5\/10 + u**4\/4 - u**2. Let d be l(5). Solve -d = -o*w - w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81.2 - -3.8. Let f = -87.21 + x. Round f to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14645, -14641, -14639, -14639, -14641, -14645?\n\"Answer: -r**2 + 7*r - 14651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5108910721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*a**2 + 122*a**2 + 78*a + 66*a - 1728 = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -96\/11 (b) -4\/21 (c) 1.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 279 - 278.9654. Let d = -49.7654 - p. Let g = d + 57. What is g rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*k + 72544 = -119*k. List the prime factors of k.\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 2\/5 (c) -0.2 (d) 0.105 (e) 9\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4354 is divided by 104?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -8*d**5\/15 + d**4\/8 - 221*d**3\/6 - 87*d**2. Differentiate a(z) wrt z.\nAnswer: -64*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 1, j: 2, i: 1, z: 1, v: 2}. Give prob of picking 1 j, 1 h, and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*(7*(-12)\/1260)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u - 2*b, -u = -3*u + 5*b + 23. Suppose -3*j + 8392 = -5*y - 4821, -u*j + y = -17640. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1064, 2132, 3200?\nAnswer: 4268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lggglg. Give prob of sequence llgg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-5))\/(3\/(-15)). Suppose -3*g + 24 = 4*x, 71 - 17 = 5*g + n*x. Solve -a = -4*a - g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141225, 141227, 141229, 141231?\nAnswer: 141233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 4*i**3 + 0*i**2)*(1 + 1 + 0) + 0*i**3 + 0*i**3 + 2*i**3 + 7*i**2 - 5*i**2 + 0*i**2 + 5*i**3.\nAnswer: -i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**2*u**2 - 2*a**2*u - 338*a - 22*u**2 + u wrt u.\nAnswer: -8*a**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -814*h - 104. Let z(u) = 813*u + 87. What is 5*a(y) + 6*z(y)?\nAnswer: 808*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -0.3 (c) -1.4 (d) 1\/5 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -38, 0.3, -1\/5, -3\/4, 11, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1921265 is divided by 136.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = -5*k - 2, -5 = 2*t + 5*k. Suppose 5*y - 3*y = t. Solve y = -2*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1112237885 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.5 - 12.8. Let t = -1.3 - g. What is the biggest value in 1\/8, 10\/3, t?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 506*c - 507*c - 8 = 0, 7 = -7*j - 2*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5))\/j*j**2*j*j**(-4\/5)*j*j\/j**11 assuming j is positive.\nAnswer: j**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(22\/6 + -3). Let j = h - -13. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.222 + -24.265983. Let k = q + 0.0442. What is k rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -1, 217072, 2 in descending order.\nAnswer: 217072, 2, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (3 + -5 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-14) + (-195)\/(-7). Suppose -2*w + 1 = 11. Let z = w - -9. Calculate the highest common divisor of z and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0*c**2 - 1\/66*c**4 + 1\/231*c**7 - 1\/110*c**5 + 0 + 0*c**3 + 1\/165*c**6 + 3*c. Determine l so that h(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -20. Let y be 2\/((d - 2) + -2). What is the third derivative of 4*o**2 - 6*o**2 + o**2 - o**y - 12*o**3 wrt o?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2259 = -6*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 5, -272, -5, 3, -2, -4 in decreasing order.\nAnswer: 81, 5, 3, -2, -4, -5, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - z**2 + 1 + 10*z**3 + 430*z**3 + 139*z**3 + 437*z**3 + 0*z as w + j*z + p*z**2 + a*z**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 + 1 = -c, -2*c - 13 = -d. Suppose -d*x - 5*u + 15 = -134, -211 = -5*x + u. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4 - 2) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Let o(v) = -4*v**2 + v**3 + 4 + v - 8 - y*v. Suppose -13 + 8 = -n. Calculate o(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11803.\nAnswer: 11, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 4131?\nAnswer: 4141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3772 + -3011?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2385206.09 to the nearest ten thousand.\nAnswer: -2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6311*r - 6309*r - 24370 = 0. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 94*p**2 + 3*p + 2. Is v(-1) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**4 + 270*p**3 + 1476*p**2 + 1458*p + 405.\nAnswer: -(p - 15)*(p + 3)*(5*p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.118834 + 18060789\nAnswer: 18060788.881166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 + -91. Let s(f) = -f**3 + 30*f**2 + 32*f - 30. Let y be s(d). Let p = 8 - 13. Which is the second smallest value? (a) p (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 186 - 41. Let w = y + 31. What is the third derivative of -l**3 + 26*l + 0*l**3 - 26*l - l**w wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*j + 10*j - 16 + 6*j)*(1 - 1 - 1).\nAnswer: -j + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -60. Solve -x + f = -2*i - 0, -4*i = 3*x + 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3, 2 = -5*p + 4*k + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1048*-29\nAnswer: 30392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**2 + 32*j + 11. Calculate o(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -15. Suppose -p*l = -66 - 9. Suppose -3*o + 247 = 4*m, -4*o = m - 0*m - 78. What is the remainder when m is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-143)\/(-4))\/((-4)\/(-16)). Let r = 5414 - 5321. Suppose -4*w + m = -r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16437?\nAnswer: 3, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24019100 by 14.\nAnswer: -1715650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 6862980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1048.69, 890.1?\nAnswer: 1048.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 5222*i**2 + 1746*i**2 + 12 + 1743*i**2 + 1735*i**2 - 121*i**3 in the form l*i + r*i**3 + t + o*i**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f. Let w(t) = -t + 1. Let m be ((-8)\/(-32))\/((-2)\/8). Let i be w(m). What are the prime factors of r(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = y + 3*k - 2, y - 5*k = 22. Let h(j) = -36183*j**2 + 29*j + 4. Let g be h(y). Round g to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/7)*m**(-4)\/m)**(-7\/4)\/((m**4\/m)\/m**(-6))**(1\/26) assuming m is positive.\nAnswer: m**(385\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 7*m - 5. Let n be b(5). Suppose 5*i + 1 = -2*j, -3*j + 13 = 2*i - 2. Solve c - a = -j, -34 = 5*c - 3*a - n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*n - 105 = 87*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -418*j**3*n + 2737*j**3*s + 2576*j**2*n*s + j**2 - 5*j*s wrt n?\nAnswer: -418*j**3 + 2576*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4222, -4174, -4094, -3982, -3838?\nAnswer: -3662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 475\/2303 in 0, 6, -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 - -134. Suppose 0*f = -5*f + 10. Solve -k*t + f + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.00479 rounded to 2 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/156)\/((-40)\/(-144)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - -2 - (640 + -632).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -10 (c) 3 (d) 0.2 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k + 466 + 830 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 3 - (2 + 2). Let w be 1\/i*(-2 - -1). Put 0, -1, w in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1344 and 768.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 7. Let l be h(26). Let o = -66 - l. Let m = o + 104. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -298, -1245, -2904, -5341, -8622, -12813, -17980, -24189?\n\"Answer: -11*g**3 - 290*g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 27*t + 47*t = 21*t + 21, 5*p + t = -113 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000435151 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 261 (c) 13 (d) 113 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 730238 - 312375. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 - 27415*c**2 + 136430*c + 2848560 = 0 for c.\nAnswer: -8, 13, 5478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909892 greater than or equal to 1909895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 - 9\/(-5). Suppose 0 = -g*v - v. List the prime factors of 2*11 + 0 + v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/12 + 51*w**2\/2 + w - 149. Let d(o) be the second derivative of v(o). Let s(h) = -2 + 2 + 4*h. Determine s(d(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(-1))*m)\/m)**(10\/7)*m**(-1\/8)*m*m**(-1\/2))**(-4\/3) assuming m is positive.\nAnswer: m**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*a - 23 = 3*a, 3*a = -4*o - 61. Let t(b) = -176*b - 721. Let g be t(-4). Which is bigger: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-1 - -2)*-1. Suppose 0 = 5*c - w*c. Suppose 0 = 4*y - y + 3*r - 1254, c = -3*y + 5*r + 1262. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 77. Let k = 15 - x. Let p = -7 - k. Solve -s = p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4\/5 - 2382*t**3\/5 - 1188*t**2\/5 + 238*t = 0.\nAnswer: -595, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + -123 - (-1 + -19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 11*o - 15*o + 58, 36 = 2*o - 3*u. Suppose 0 = -13*s + o*s - 36. What is the remainder when s is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -361*m**3*v**2 + 2*m**3*v + 605*m**2*v**2 - 2*v**2 wrt m?\nAnswer: -2166*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 3*c**2 + 5*c - 9. Calculate w(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -323.0286 + -0.2714. Round n to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-9 + (0 - 2 - (112 - 114)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/6 (b) 3 (c) 0.2 (d) 3.9 (e) -541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 521 - 389. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5718?\nAnswer: 5718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 7*t**2 - 8*t + 12. Let p be n(6). Is 1\/234 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.27 (c) 0.19 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13516.\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63629, -63628, -63627, -63626, -63625?\n\"Answer: o - 63630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67132960 by 27856.\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubxbruqbuur. Give prob of sequence qur.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 2\/13 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r + 217. Let l be u(-27). Let c(h) = -h**2 + 1. Let s(b) = 361*b**2 - 3 + 0 - 358*b**2 + 6*b**3. Give l*s(t) + 3*c(t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19763.08 millimeters to kilometers.\nAnswer: 0.01976308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 124*m**2 + 1088*m - 30720.\nAnswer: -4*(m - 32)*(m - 15)*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225117\/72 + 3 + 3\/8?\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -14 + (-2)\/1. Let p be 9 - (b + 2)\/(-2). What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4. Let y(v) = v**3 - 2*v**2 + 3*v - 8. Let b be y(2). Give p(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(sqrt(114)\/sqrt(3))\/sqrt(2))**2 - (-5*sqrt(133)*-2)\/(sqrt(7) - (sqrt(7) - (2*sqrt(567) + sqrt(567)))).\nAnswer: -10*sqrt(19)\/27 + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8629 - -8704. Calculate the remainder when 688 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + n + 1. Let i be o(-1). Sort -4, i, -3, 5 in increasing order.\nAnswer: -4, -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -1 - 2 - -13. Suppose -8*u - 50 = -s*u. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6824762.\nAnswer: 2, 7, 19, 25657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 392*q**2 - 207*q**2 + 17 - 17 - 2*q**3 + q to the form g*q**2 + i*q + a + k*q**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.435 and -114.\nAnswer: -163.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 7:50 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6090 and 48?\nAnswer: 48720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, k: 4, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*f - 4 = -u, 0 = -u + 4*f + 20. Let g be 122\/u + (-12)\/8. Calculate the greatest common factor of g and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 11*q - 75. Let u be n(5). Let p(i) = i + 6. Let s be p(4). Let x(d) = 0*d**2 + 6*d**2 - d**3 - 5*d - s + 16. Calculate x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 8125096*b**3 + 24375264*b**2 - 24375256*b + 8125084.\nAnswer: 4*(b - 2031271)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -7. Suppose -2*m + 0*m + 4 = 0. Let o = m + n. Solve -6*z + z = o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231238*n**3 + n**2 + 12*n + 654?\nAnswer: 1387428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, x: 8, e: 2}. Give prob of picking 1 p and 1 e.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -5339*c**3\/6 + 546*c. Let b(s) = s**2. Give b(p(n)).\nAnswer: 28504921*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19632 = 9*u + 7*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + j + 1. Let h(x) = -x**3 - x**2 + 3*x - 3. Let n be h(-3). Let r be b(n). What is r rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u. Suppose 241 = 3*o + v, 3*v = -2*o - v + 154. Let w(t) = 165*t**2 - 78*t**2 - o*t**2. Give w(f(g)).\nAnswer: 216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3115707306 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1628*v**2 + 11*v**2 - 12684*v**2 - 268363*v + 268363*v in the form b*v**2 + w + y*v and give b.\nAnswer: -14301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-45))\/(n*(n\/n**(-3))\/n) assuming n is positive.\nAnswer: n**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 12*s**2 - 32*s. Let a(o) be the first derivative of -4*o**3 + 33*o**2\/2 + 3. Let l(k) = 3*a(k) + 4*j(k). Find the second derivative of l(p) wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(1728) + sqrt(1728))*-2)**2 + (6*(2 + -1 + sqrt(192) + sqrt(192) - sqrt(192)))**2.\nAnswer: 576*sqrt(3) + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 4 + 1 - 5*c**2 - 3. Let q be n(5). Let r be (2 + -1)\/(q\/210). What is the highest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1.26\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10 = 5*v - 12, t + 14 = 3*v. Solve u + t = -2*s + 7, 5*s - 25 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -16*i - 1. Suppose v = -4*v - 5*t - 75, -3*t = -5*v - 91. Let p(q) = -q**3 - 17*q**2 - 2*q - 7. What is the remainder when p(v) is divided by a(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 - 3*q**4 + q**4 + (-3*q**3 - 5*q**3 + 0*q**3)*(-3*q - q + 5*q).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:30 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 divided by 20995?\nAnswer: -11\/1235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c*c**(-2\/31)*c)\/c))**(-11\/4)*((c\/(c**23*c)*c)\/c)\/((c**(-22)*c)\/c*c))**(2\/33) assuming c is positive.\nAnswer: c**(71\/2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 5*g + 12*g + 6*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57778, 113963, 170146, 226327, 282506, 338683, 394858?\nAnswer: 451031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljb. Give prob of sequence lbj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 4:31 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 35 = -6*w. Suppose -2*k + 3*h = w, 5*k - 2*h - 3*h = -5. Suppose -35 - 5 = -5*s. What is the highest common factor of s and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24234768*a**3 - 2*a**2 - 2*a - 2021027?\nAnswer: 145408608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 0.7594?\nAnswer: 1.2594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207564?\nAnswer: 2, 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.771213 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9998724 kilometers in meters?\nAnswer: 999.8724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (5 + -17 + -6) - (57 + -66)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2799790 by -79994.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 3*i - 80 = 0. Let m be (14\/(-168) - 6\/i)*3. Solve -p + m = -0*p, 2*g + 2 = -2*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 1:28 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 6 = 6*s + 2*f, f + 15 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 5700?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 15 = 3*z, 6*z + p - 20 = 2*z. Determine k so that 9*k**4 - 3*k**2 - 9*k**3 + 3*k**z + 4*k**2 + 2*k**2 - 6*k**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/140 + 5\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 148 - 134 - p**3.\nAnswer: -p**3 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25932514 is divided by 317?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2. Let i(h) = -6*h**2 + 3*h. Let t(u) = -4*b(u) - i(u). Let q(r) = 3*r**2 - 5*r. Calculate 3*q(z) - 5*t(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -438506626*h**4 - 16174*h**2 + 18 wrt h?\nAnswer: -10524159024*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 6 (b) 0 (c) -0.134 (d) -3\/4 (e) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 4*o**2 + o - 2. Let l be w(-3). Suppose 3*i = -2*c - i + 82, l*c - 5*i = 99. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*m*o**2 - 1532*a**2*m*o + 9*a**2*m - 7*a**2*o**2 - a*m + 356094*m*o**2 + 145*o wrt o.\nAnswer: 2*a**2*m - 14*a**2 + 712188*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2) + 2 - (1*(sqrt(5) + -2 + sqrt(5)))**2.\nAnswer: -22 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 + 30 = -p. Let t = p + 63. Let j = t - -102. Calculate the lowest common multiple of j and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*z**2 + 4*z - 13943 with respect to z.\nAnswer: 70*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 - 3*j**4 + 0*j**4 + (-21*j**2 + j**2 - 60*j**2)*(-2*j**2 - 5*j**2 + 4*j**2).\nAnswer: 237*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 1. Let w be q(0). Let n(h) = -6*h. Let m be n(w). Let g be (m*-1)\/3 + 5. Calculate the highest common divisor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111450915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 6*d**2 - 9*d + 4. Let n(s) = -s**3 - 3*s**2 + 7. Let m be n(-3). Let h be k(m). Let i(l) = 2*l**2 + 9*l + 1. Is i(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*6*(0 - -1). Let p(i) = -i**3 + i**2 + 2*i + 3. Let b be p(0). Solve -u + 3*u = -b*m + o, -4*m = -u - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 6*g**2 - 6*g - 3. Suppose 12 = a - 5. Let s(m) = 6*m**3 - 17*m**2 + 17*m + 9. Give a*i(d) + 6*s(d).\nAnswer: 2*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 24*o. Let j(d) = -d. Calculate -2*j(c) + u(c).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*n**2 - 10 + 14 - 1 to the form u*n**2 + y*n + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592*p - 596*p = -120. Let n(c) = 3*c**3 - 3*c**2 + 2*c - 2. Calculate the remainder when p is divided by n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -30*2*2\/(-10). Let g(v) = 4*v**2 - 13*v - 154. Let b be g(-7). Let f = b - a. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 139821?\nAnswer: 139824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2. Let t(m) = m + 21. Let b be t(-13). Let f(a) = 1 + 42*a - 45*a - b. Let d(c) = -c - 2. Let v(j) = -7*d(j) + 2*f(j). Determine v(w(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69563 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 80\/137 (b) 15 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -346180 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22589, -22590, -22591, -22592, -22593, -22594?\nAnswer: -22595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:57 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -3 - -20 - (678\/45 - 4))*3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - 39\/(-15). Suppose 2*u - 7 - w = 0, 0 = 4*v + 4*u - 40. Suppose 0 = h - v*h - 4*f, -25 = -2*h + 3*f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 7*z + 1. Determine a(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026284032 rounded to 6 dps?\nAnswer: -0.002628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:15 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 10*s + 6*b + 20, s + 2*b = -4*s + 40 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -2. Let t(s) = -s**3 - 3*s**2 + 3*s + 6. Calculate the remainder when 19 is divided by t(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652\/18 - (-4)\/(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 314\/3451, -4, 1 in descending order.\nAnswer: 1, 314\/3451, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85.307 - -16.\nAnswer: 101.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 11*b**2 + 14*b - 13. Calculate the remainder when 62 is divided by g(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 46, 0.4, 0, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -917158, -7337327, -24763534, -58698799, -114646142, -198108583, -314589142?\n\"Answer: -917170*g**3 + g**2 + 18*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7.4. Let h be 0 + 5\/(-15) + 32\/30. Let n = h - 2\/5. What is the second biggest value in 1, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74996.67373 plus -0.036?\nAnswer: 74996.63773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -0.05, -0.1, 0.3, 46\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*x - 11 = -47, 4*x - 24 = 5*b. Let h = -6 - b. Solve -h*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + (2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.992 + -7. Let g = 0 + r. Let o = 0.116 - g. Round o to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l**2 - l + 5. Let x be u(0). Suppose -x = -q - 3. Calculate the greatest common divisor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/13 - -71\/195. Let n = -88.94 + 88. Let m = -0.06 + n. Put x, -1\/3, m in ascending order.\nAnswer: m, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -46*k**5\/5 - 13*k**2 - 2*k - 49. Find the second derivative of z(n) wrt n.\nAnswer: -552*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 - (-3)\/(-33)*0. What is the second smallest value in q, -0.089, 3, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, -5.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1482*t + 39 - 39.\nAnswer: 1482*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 3*p)*(3 + 0 + 0) - 2*p + 5*p - 5*p - 7*p - 20*p - p + (0*p - 6*p + 4*p)*(-2 + 5 - 2))*(-4*p - p - 3*p).\nAnswer: 184*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4074*t**2 - 7983*t**2 + 4041*t**2 + 5 + t.\nAnswer: 132*t**2 + t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*a - 3*y, -6*a + 2*y + 50 = -2*a. Let j = 1827 - 11071\/6. Find the common denominator of -4 + 62\/a + (-3)\/5 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 6*d**2 + 3*d + 6. Let l be x(-6). Let k = 7 + l. Let q be ((-4)\/6)\/(70\/21). Which is the second biggest value? (a) -0.06 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4*i**2 + 6 + 3 + 3 - 3*i**4 + 3*i**2 to j*i**4 + c*i + f*i**2 + y*i**3 + v and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.174 + -0.146. Let v = 47 - 47.58. Let s = v + x. What is the second biggest value in 1, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 4*m)*(3 + 0 - 1) - m - 10*m + m + (-3 + 2 + 0)*(-41 + 88 - 39)*(-5*m + 2*m + m).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0*u**7 - 2*u**2 + 0*u**5 - 1\/24*u**4 + 0*u + 0*u**3 - 1\/336*u**8 + 0 + 1\/60*u**6. Find g, given that m(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16552, 16850, 17346, 18040?\n\"Answer: 99*i**2 + i + 16452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39391133 divided by 442597?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/64064 and -109\/12320?\nAnswer: 320320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d**2*j*m - d**2*j + 5*d**2*m**2 - 2*d*m**2 + 5761*j*m**2 + 829*m wrt j?\nAnswer: -4*d**2*m - d**2 + 5761*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -18*y**3 - 2*y**2 - 42*y - 129. Is n(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 2, r: 2}. Give prob of sequence hir.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - r**3 + (-2*r**2 + r**2 - r**2)*(r + 2 - 2) + 3*r - 2*r**3 - 3*r + 0*r**3 - r**3 + 3*r**3 + 74*r**3 + 89*r**3 - r - 142*r**3 + 3 - 3 + 2*r**3.\nAnswer: 20*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jug when three letters picked without replacement from zsguusqzgugj?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4674 (b) 0.1 (c) -1\/6 (d) 14 (e) -0.4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 17*a + 398. Calculate s(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-3 - -12)) + -30 - -10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**3 - 3*v**2 + 1. Let r(l) = 6*l**3 - 2*l**2 + 1. Calculate 7*j(s) - 6*r(s).\nAnswer: -s**3 - 9*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**2\/2 - d + 38. Suppose -219*t = -251*t + 256. Let a(r) = -6*r + 4. Give t*g(o) + a(o).\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5512158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 61*g + 3011. Let v be q(-49). Solve 34 = 6*x + v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 0*y - 2 - 2*y + 0*y. Let r be q(-4). Let v be 2 - -6 - (-3)\/(12\/(-16)). Solve v*k = -m - 15, m - 3*k - r + 0 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-2))\/(1 - 3). Suppose 0*v + 2*l = v + 2, 5*v - 2 = i*l. Solve w + v*w = -12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m + 5*m + 12*m + 0*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1611810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let t(r) = -10705 + 5406 + 6*r**2 + 5414. Calculate t(l(d)).\nAnswer: 6*d**4 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*g - 3*a - 62, 0 = -3*g + 3*a - 33. What are the prime factors of 2 + 1 - 4 - g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*q + 29, s + s - 4*q = 20. Suppose -n - n + s = 0. Solve -h = n*d + 3*h + 6, 0 = 2*d + h - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = -5*d, 3*d - 60 = -l. Let x = 125 - l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c**4 - 4*c**3 - 2*c - 5. Let t(y) = -y**4 - 2*y**3 - y + 1. Let o(u) = 6*t(u) - 3*w(u). Differentiate o(v) wrt v.\nAnswer: -192*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000234671 to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - 28. Let d be h(7). Suppose -4*u - 4*k + 32 = d, 4*u - 3*u - 5*k = -16. What is the tens digit of -3 - -40 - u - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*x - 1289. Suppose 0*p + x = 7*p. Let q = 558 - p. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 185 - 163 = 2*s, 5*s - 5*d + 345 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, 49, -120, 0 in increasing order.\nAnswer: -120, 0, 5, 19, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 14. Suppose 5*f = -f + t. Solve -3*l - 2*l + f = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 145*o - 77. What is the remainder when 424 is divided by p(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x - 64. Let d be v(-11). Let b be d\/(-6) + (-1086)\/(-18). Calculate the greatest common factor of b and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 + 3*o + 7. Let j = 0 - 3. Suppose -6*v + 10*v = -8. Let c(k) = 3*k**3 - 2*k - 6. Let l(r) = j*c(r) + v*w(r). Differentiate l(p) wrt p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/56 and -7\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*q + 230*q - 818 = -4*u, -5*q = -3*u + 631. Solve 210*h = u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1532*m + 838*m + 1479*m - 1030*m + 160683 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*c - 9*c**4 - 11*c - 3*c**2 + 3*c**2 + 2*c**4 + (-c + c**3 + c)*(-2*c + c + 2*c) + c**4 + 1 - 1 + 9 - 9 - 4*c**4 - 414*c**2 + 61*c**4 + 414*c**2.\nAnswer: 52*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 476290025 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 - 471407415\/(-75). Let u = k - 3335432. What is u rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdb. Give prob of picking 3 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49\/14*24544\/182 is divided by 250?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.022753 - -3?\nAnswer: 22.022753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0777 and 275446.\nAnswer: 275445.9223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 399961143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10166983, 10166968, 10166953, 10166938?\nAnswer: 10166923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n - n)*(40 + 11 - 10)*(-3 + 2 - 2).\nAnswer: -123*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*((-6)\/(-168))\/(182\/(-1344))\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63027917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-1 - (3 - 3 - -4). Let w(h) = -6*h + 0 + 4*h**2 + 3 + 7*h + 6*h. What are the prime factors of w(y)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.29, 6, -0.1, -353.7?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117*h**3 - h*l + 2*h + 2*l - 739 with respect to h.\nAnswer: -351*h**2 - l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 232427159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:03 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4645 + 4645. Let o(w) be the third derivative of 0 - 1\/12*w**5 + 0*w**4 + m*w + 1\/42*w**7 + 0*w**3 + 1\/24*w**6 + 22*w**2 - 5\/336*w**8. Factor o(q).\nAnswer: -5*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -90457*n - 2170958. Determine b(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120939943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 60.80797nm?\nAnswer: 0.00006080797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -102*t + 389*t - 105*t - 100*t - 81*t. Let s(d) = -47*d + 74*d + 157*d. Determine a(s(n)).\nAnswer: 184*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3 - 4 - 55*o**2 + 4*o + 6*o + 54*o**2. Suppose -1 = 2*c - 23. Give u(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -705*p + 347*p + 358*p + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 4*s = 16, 12 = 4*h - 3*s. Suppose h = 3*r - 35 - 10. Solve 3*v = -0*v - r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3747059 and 1367717.\nAnswer: 8093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-327)\/9 - (-3)\/9. Let i = 2 - n. Let h = i + -14. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133 * 0.11.\nAnswer: -14.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b - 41*b - 4 = 0. Suppose 0 = -b*s - 31 + 37. Let y(u) be the second derivative of 5*u**3\/6 - u**2\/2 - u. Calculate y(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 107.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - 71. Let m = f + 108. What is the third smallest value in -5, 0.06, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 158 = -286 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*k = 2, -2*u - 1789 = u + 2*k + 2*k - 1788 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 4. Let j(r) = 5*r - 56. Let m be j(12). Suppose -5*c - 26 + 11 = 0. Let p(a) = -3*a - 3. What is c*n(v) + m*p(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and -81962785.6.\nAnswer: -81962786.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1570937*w - 1. Let y(z) = -2*z. Give k(y(l)).\nAnswer: -3141874*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 3*o**2\/2 - 36*o - 3. What are the prime factors of a(16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -22*x**2 + x + 1. Let m be q(-1). Suppose 22 = -14*p + 462 + 134. What is the remainder when p is divided by (m\/(-3))\/((-3)\/(-9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d4 (base 14) to base 8\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102972.\nAnswer: 2, 41, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 8125.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m - 7. Let a(n) = -6*n - 6. Let x(y) = -5*a(y) + 4*k(y). Let c = -1 - -3. Let h be x(c). Calculate the highest common factor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 7 + 8 + 6 + -20 + -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4 + 3*v**3 - 5*v**3 - 1643*v**2 + 1642*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -2\/11, 1641\/5.\nAnswer: -0.6, -2\/11, 1641\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -1\/120*x**6 + 0*x + 0*x**5 - x**2 + 1\/6*x**3 + 23 + 0*x**4. Let b(k) = 2*k**3 - k**2 - 2*k - 6. What is b(n) + 6*j(n)?\nAnswer: -4*n**3 - n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 14}. Give prob of picking 4 t.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2258644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2143, -0.082, -9 in decreasing order.\nAnswer: 2143, -0.082, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-3)\/6*-2. Which is the second smallest value? (a) w (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/46270161 and -73\/1159389.\nAnswer: 508971771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l + 3 + 29 + 22. Calculate the remainder when (-1 - 0)*1 + 34 is divided by w(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -3 (c) -2\/11 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnwlllw. What is prob of sequence wlnn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(114) - (sqrt(114) - (sqrt(114) - ((sqrt(114) - sqrt(114)*-1) + sqrt(114)) - sqrt(114)))) + sqrt(114))*-1*5)\/(-3*sqrt(42)\/(3*sqrt(28))).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -697 (b) -1\/2 (c) -1\/398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (750\/(-4))\/(119\/28 - 5) is divided by 54.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52350, 209398, 471144, 837588?\nAnswer: 1308730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + 408. Suppose 89 = 8*g - p. Solve g - 55 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.01751*49.2\nAnswer: -50.061492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 514*g - 9*g - 438*g.\nAnswer: 67*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 4. Let d be j(-7). Suppose 2*n + 4 = 4*t, 0*n + d = 5*t + 4*n. Solve 0 = -t*y - 10 - 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8768 + 1.\nAnswer: -8767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 41*w**2. Let r be (1\/(-3))\/(9\/(-54))*2. Let g(j) = -33*j**2 + 27*j + 27. Let i(o) = 5*o**2 - 4*o - 4. Let s(h) = r*g(h) + 27*i(h). Give s(v(c)).\nAnswer: 5043*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/8 + (-3)\/(-12). Suppose 0 = -w + 2 - s, 5*p - 98 = -w. Solve 3*r - 2 = -v, -5*r = -3*r - 4*v - p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2681 - 2681.5. What is the biggest value in 322, h, 2?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8282119 divided by -349?\nAnswer: 23731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 435 or 437?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1367 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 + 1351*o**2\/2 - 434639*o\/2 - 14801911\/2.\nAnswer: -(o - 691)**2*(o + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 240313, 480376, 720191, 959758?\n\"Answer: -124*l**2 + 240435*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*y**5 - 36*y**2 + y**2 - 13*y**6 + 126*y**5 wrt y?\nAnswer: -1560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-7)*l*l)\/l*l*l)\/(l**(4\/5)*l))\/(l\/(l\/l**(3\/4)*l*l*l)*(l**(-4\/3)*l)\/l) assuming l is positive.\nAnswer: l**(-133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5709 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 + 3*k - 5. Let b(r) = 7*r**2 - 4*r + 6. Calculate -4*b(v) - 5*j(v).\nAnswer: -3*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26498 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(2\/9))\/g)\/g*g**4*g\/((g\/g**(-1\/13))\/g*g)*(g\/g**(-2\/7)*g)\/g assuming g is positive.\nAnswer: g**(4448\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 86. Suppose i*s - 1827 - 873 = 0. What is the greatest common factor of 30 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 5*c**5\/6 + 35*c**3\/3 + 66*c**2. Differentiate o(n) wrt n.\nAnswer: 100*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 + 3*c + 1. Let k(o) = 4*o**2 - 3*o. Let q(l) = -3*h(l) - 4*k(l). Let z(n) = n - 1. Determine q(p) - 3*z(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 73. Let n be (-103584)\/(-415) - ((-2)\/(-5))\/x. What is the highest common factor of 100 and n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:15 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*b + 5*b - 2700 = -68*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 20 = 5*b, -413*n + 415*n - 97*b + 368 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 212*m**2 + 10824*m + 612.\nAnswer: 4*(m + 51)*(53*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 634958 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: How many years are there in 48\/5 of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/((-1)\/(-4)). Let g(u) = -2*u - u**3 - 2*u + h*u**2 + 4*u. What is g(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.42 - 3.58. Sort 3\/34, d, 5 in increasing order.\nAnswer: d, 3\/34, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 476, 4, 1, 7, 18, 5, -3 in descending order.\nAnswer: 476, 18, 7, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 + 2*x**4 + 194*x**3 - 722*x**2 + 528*x = 0 for x.\nAnswer: -11, 0, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5169*c - 11321 = 2969 - 3952 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 128*q**2 + 0*q**5 + 0*q**6 + 0 + 13\/35*q**7 + 0*q + 0*q**4 - 49\/6*q**3. What is the derivative of z(w) wrt w?\nAnswer: 312*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 15\/(-9))*4389?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2459750.25904 - 11.\nAnswer: -2459761.25904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 0*w**5 + w**5 + (-3*w**4 + w**4 + 7*w**4)*(-2 - 3 + 4)*(-3*w - 2*w + 3*w) - 2*w**3 + 2*w**3 - 2*w**5.\nAnswer: 11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1063, -1074, -1091, -1114?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/11 - 15958*n\/11 = 0. Calculate n.\nAnswer: -7979, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/11 - 150\/(-22). Suppose -4*f - 10 = -5*l - 0*f, 0 = -l - f - r. Let i = 7 + -5. Sort i, 1, l in decreasing order.\nAnswer: i, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - c + 8 = 4*d, 0 = -d + 2*c + 5. Let g(a) be the second derivative of -2*a + 0*a**2 + 0*a**d + 0 + 1\/2*a**4. Let s(f) = -2*f. Give s(g(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-6)\/2)\/(-1). Let r = b + 2. Sort 4\/5, 5, r in decreasing order.\nAnswer: 5, r, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.7, 30, -2, -4\/7?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*d - 152 + 1404, -4*q + 2497 = -3*d. Calculate the remainder when q is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 20) + 1 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/3 + 226*m**2\/3 + 476*m = 0.\nAnswer: -6, 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 664793 + -1?\nAnswer: 664792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.86 and 3.3.\nAnswer: -17.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6037 - 5962. Solve 13*s - 28*s = t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -12*y - 2. Let h(b) = -4*b - 1. What is -8*h(g) + 3*m(g)?\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31805597.\nAnswer: 31, 967, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.62213 to 1 dp.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(132\/660)*28\/2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 108\/(-378) + (-3406)\/(-14). What is the greatest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 13*m - 44. Let v(n) = n**3 + 6*n**2 - 45*n - 47. Let z be v(-10). Determine d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -11*b**2 + 33*b + 5. Let q(v) = 14*v + 491*v**2 + 2*v - 496*v**2 + 3. Let j(h) = -13*q(h) + 6*z(h). What is j(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - 12\/(-4) - -9. Suppose -y*g + 556 - 4 = 0. What is the remainder when g is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 5*c - 3. Let n be y(-2). Suppose -5*l = -2*i + 28, 0*l - l + 16 = 5*i. Let b(m) = -m - n - m + i. Determine b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/9*(24\/(-10))\/((-4044)\/5055)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*p + 24 = -86*p. Let u = 61 - p. Suppose -3*a - 14 = -38. Calculate the remainder when u is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 22 + (-11)\/((-44)\/(-72)) - -15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -5461.\nAnswer: 2\/5461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 275\/77 + (-6)\/(-14). Suppose 0*p + w*p + z - 3141 = 0, -2*z - 774 = -p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, p: 2, e: 4, u: 2, z: 1, n: 2}. What is prob of picking 1 z, 1 u, and 1 e?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 2. Let t(h) = 2*h - 3. Calculate t(i) - y(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009637 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*f - 10087, y - 2516 = 9*f - 14*f. What are the prime factors of y?\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29397259 is divided by 3516.\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7525571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 145?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 >= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 176 = 6*q. Let t = -42 + q. Let v be 1\/(2*(-2)\/4). Are t and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/36647804 and 63\/5.\nAnswer: 183239020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/120 + 2*q**5\/15 + 7*q**4\/24 + q**3 - 12*q**2. Let h be i(-7). Calculate the greatest common factor of h and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222191 and 2240419?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -99 + 5?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a decade in months?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 144?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-4*-2*sqrt(96))\/sqrt(4))\/(sqrt(30)\/(-4*sqrt(40)\/sqrt(4))).\nAnswer: -64*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 56\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 210 = -4*f, 4*o - 11076*f + 163 = 3*o - 11073*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + w**2 - w - 1. Let c be (3\/51*-2)\/(28994\/646 - 45). Let p(q) = -5*q**3 - 1 + 4*q**3 - q + 0*q + q**2. What is c*p(z) - u(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -124, -188, -252, -316?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150491309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (6 + -9 - (-15 + 13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799*w + 868*w = 2346 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:25 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1356320)\/(-15680) + 13\/2.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*q - 897 - 5583, -4*f = 0. Suppose 10*s + 406 = q. List the prime factors of s.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/1*(312\/65)\/12?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4\/4 + 993*c**3\/2 + 39413*c**2\/4 + 45741*c + 61929 = 0?\nAnswer: -1966, -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 3*w - 6*w + 2*w as p*w + h and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1647 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/72 and -131\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1562 - -1562. Suppose 3*t = g - 24 + 20, 2*g - 4*t - 8 = o. Determine f so that 6\/5*f**5 + 42\/5*f**3 + 6\/5*f - 27\/5*f**g + 0 - 27\/5*f**2 = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2. Let s(x) = -31*x**2 + 248. Let p(o) = -s(o) + 124*z(o). Let g(n) = -2*n. Give g(p(q)).\nAnswer: -62*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48909068 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -90.481.\nAnswer: -87.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 23*u**5\/60 - u**2. Let p(a) = 28707*a - 14356*a - 14350*a. Calculate p(b(s)).\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58698, 117412, 176130, 234852, 293578, 352308, 411042?\n\"Answer: 2*m**2 + 58708*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 52*y**3\/3 + 3*y**2\/2 - 3*y - 1. Let u = 64 - 63. Is 5 a factor of v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -673, -1403, -2537, -4177, -6425?\nAnswer: -9383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -72.2. What is the closest to m in -2, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144 + 13*p - 31 - 16*p to a*p + z and give z.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.2 + -18.8. Let p = 31.4 + x. Which is the fourth biggest value? (a) p (b) -2\/5 (c) -2\/11 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 14*w**2 + w - 34. Calculate f(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2 - 34046976*l + 144899571843072 = 0. Calculate l.\nAnswer: 8511744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.01, 0.02, -0.3 in descending order.\nAnswer: 0.02, 0.01, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l = 32*l - 4*h + 25564, -4*l = -5*h - 25537. What is the remainder when l is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -537 - -572. Find the second derivative of -c*a + 36*a + 72*a + a**2 - 345*a**4 + 49*a + 282*a**4 wrt a.\nAnswer: -756*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/4 + (-109 - (-1 - -4)). Let c = -110 - h. Suppose -3*o + 283 + 579 = c*a, -a + 169 = 4*o. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -8. Let p = -0.8 - g. Let l be 2\/(-8) + 26\/(-24). Which is the second biggest value? (a) p (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001111101110010001010 (base 2) in base 14?\nAnswer: 8a841c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 16*h - 19. Let b(t) = -2*t**2 - 15*t + 18. Let r(y) = 4*b(y) + 3*s(y). Let n be r(11). Solve 5 = -3*p + n*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/63)\/((-65)\/((-4550)\/60))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**8\/196 + 8*c**7\/735 + c**6\/42 - 2*c**5\/105 - 271*c**2 + 2*c. Determine x so that q(x) = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.9 (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = -2*u - 10. What is the common denominator of (u\/42 - -3)*(1 + -75) and -113\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 2. Let g(l) = 2*l**2 + 9*l - 31. Let c(r) = 3*f(r) + g(r). Let d be c(3). Put -2, -5, d in ascending order.\nAnswer: d, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/8 - 33*n\/4 - 58.\nAnswer: -(n + 8)*(n + 58)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29544450 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 95 (b) 0.049 (c) 4\/5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(7 - (-1)\/(6808\/(-1324) - -5)). Which is the third biggest value? (a) 2\/21 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 9*q**2 + 9*q - 7. Let w be z(-10). Let p = -5 + w. Which is bigger: 1\/2 or p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -l - 8. Let p be (-4)\/(l\/(-42)) + 4. Which is the nearest to 1? (a) p (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13397, -26793, -40189, -53585?\nAnswer: -66981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*w - 51, -s - 5*w = -0*w - 27. Let q(y) = 3 - 5*y**2 + y + s*y + 6 - y**3 - 4. Give q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -1, -5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s - 50 = -4*f, 0 = -4*f + 4*s + 48. Suppose 187 = f*b - 23. What is the greatest common factor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, and 1 e when three letters picked without replacement from {z: 2, s: 11, e: 2, a: 1}.\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/60 + a**3\/6 + 846*a**2. Suppose 2*p + 2 = p. Let x(o) = 3*o**2 + o + 3. Give p*x(f) + 5*k(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2653 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 + 67. Let m = n - 38. Let o = 68 + m. Sort -3, -1, o, 5 in decreasing order.\nAnswer: 5, o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*d = 12, -z = -0*z - d - 4. What is the second smallest value in z, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1487, -5910, -13103, -22898, -35127, -49622, -66215?\nAnswer: -84738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -13*n - 8. Give g(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 51*d**5 + 948*d**4 + 6507*d**3 + 20238*d**2 + 26976*d + 10080 = 0. What is d?\nAnswer: -7, -4, -3, -10\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4))\/(-2 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*g - 3, 3*h + g = 3 + 9. Let f be 4\/(1 - h\/6). Solve -3*w - w - f = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-6)\/207). Suppose v - 31 = 5*s + 2*v, -o = 4*s - v. Let c = 16 - s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(468) + -1) + 4*(sqrt(468) + -2*sqrt(468)))**2 - ((sqrt(468) - (0 + sqrt(468)*-1)) + 5)**2) + 4)*-4.\nAnswer: 68 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*b - 15, 0*n - 3*n = 4*b - 3. Let m = b + 13. What is the smallest common multiple of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onwoochow. What is prob of sequence hco?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 44.\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i + 126 = 61 - 619 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b*b**(-2))\/((b**(-3)*b)\/(b\/(b\/(b\/((b\/(b*b**1\/b))\/b*b))))) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3)*a)\/a)**48)**(-2\/13)*(a**11\/a**(-1\/7))**(-1\/2) assuming a is positive.\nAnswer: a**(1509\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 215 + 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1115*z**2 + 154*z**2 + 20 - 1394*z**2 - 11 - 5.\nAnswer: -2355*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -191444 or 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1834330043?\nAnswer: 7, 13, 97, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = -2*x. Let k be (-2)\/x*2 - -3. Suppose -k*m + 70 + 6 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 1)*3\/(-1). Put 0, -4, g in increasing order.\nAnswer: g, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*(2 + sqrt(19)))**2 + -2)*4.\nAnswer: 144*sqrt(19) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -191.4 - -191.48. What is the third biggest value in -0.5, f, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -9549?\nAnswer: -381.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2034530436 + 4?\nAnswer: -2034530432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q = 4*k - 1236, -k + 291 = -5*q. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -73.3. Let u = -86.7 - s. Which is the second smallest value? (a) -2\/27 (b) 1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 767, 769, 769, 767?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Let d(t) = -3*t - 5. Let p(u) = -2*u - 3. Let f(k) = j*d(k) - 5*p(k). Let v(i) = -8*i. What is v(f(c))?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0.9. Let u(t) = t**2 - 4*t - 1. Let h be u(5). Suppose -8*w + 16 = -h*w. What is the closest to c in w, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5\/3 - 8*g**4\/3 - 20*g**3\/3 + 8*g**2 = 0. What is g?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7794729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from sssdddddddsddddsdsd.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2666 and 28\/1042003?\nAnswer: 89612258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -160, -324, -488, -652, -816?\n\"Answer: -164*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**11)**(-12\/11) assuming i is positive.\nAnswer: i**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -2*t + 23*j + 14, 9*t + 2*j + 2*j + 396 = 0 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(16\/94))\/(5\/40). Let c = x + 107. Solve 5*t = -c - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 40 = 0. Let v = 7657\/6 - 1292. Calculate the common denominator of (3\/y)\/((-60)\/(-688)) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 160\/5841?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, o: 11}. What is prob of picking 1 o and 2 s?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + 4. Let t = 20 - 9. Calculate the remainder when k is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 24*b + 19. What is z(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*w = -15, -12 = a - 8*w + 5*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -208*k*w**4 - 14*k + 363*w**2 - 2119 wrt w.\nAnswer: -832*k*w**3 + 726*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 3*z**3 - 4*z**3 + (13*z**2 + 26*z - 26*z)*(-2*z - 4*z + 5*z).\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -13*s + 4. Solve o + 0*o + s = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 0.2. Let c = -0.6 + -0.1. Let v = c - i. Sort -2, -1\/9, v in descending order.\nAnswer: -1\/9, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/240 and 1\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 198. Suppose -j + 36 = -4*k, -k - q = -3*j - 3*k. What is the lowest common multiple of j and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and (-44)\/(-22) - (-16)\/(-2) - -69.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35, -413 in descending order.\nAnswer: 35, -2, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.08, -38, 2\/17, 2\/31 in decreasing order.\nAnswer: 2, 2\/17, 0.08, 2\/31, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-6)\/(-3))\/(64 - 59). Let r = -6 - -4. What is the nearest to 1\/3 in n, -5, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -0.4, 2\/65?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -456365 divided by 1547?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11174 is divided by 72.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -44845698530 rounded to the nearest 1000000?\nAnswer: -44846000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4)*(9440 - 40*d**3 - 9440) - 70*d**3 + 28*d**3 + d - 3*d in the form y + x*d**3 + v*d + n*d**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290*-1.179.\nAnswer: 341.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*128\/(-2016)*2*-9*1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79619 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/50 - (12\/8 + 1)*(-8316)\/2475.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (3 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -56. Suppose -s + 2*s + t*v = 306, 3*s = -2*v + 914. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -13, 1, 21?\n\"Answer: 3*c**2 - c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t - 58. Let v be a(9). Is 48 a factor of 5\/v + (-2739)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = 3*t. Suppose 0 = 3*c - 8*c - k - 9, -16 = 4*k. Sort c, 4, t in ascending order.\nAnswer: c, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(1 + sqrt(175))**2 - (-1 + sqrt(175))**2*5).\nAnswer: -400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*o = -426*o - 3*f - 294, -3*o + 922 = f. Sort 0.2, o, -4 in ascending order.\nAnswer: -4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 872369904 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-5))\/7*(-10)\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 5*o - 2851*o**2 + 2860*o**2 as m*o**2 + a*o + g and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-64)\/12 - -3)\/((-1)\/2031) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 9*g**2 + 22*g - 6. Calculate y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (5 - (4 - -1)). Suppose -3*c + 79 = 4*h, 2*h - 52 = 4*c - i*c. Suppose -18*g + 19*g = c. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/11)*z*z**8)**(1\/7)*(z**(-6)\/z**(1\/2))\/(z**4\/z**(3\/4)) assuming z is positive.\nAnswer: z**(-2603\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3969) - sqrt(3969)*-2))\/((sqrt(49)*-1*-4)\/sqrt(7)).\nAnswer: -81*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000921003 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2353772, 2353857, 2353946, 2354039?\nAnswer: 2354136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-9))\/((-248)\/60 - -4). Solve w*x - 4*x + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*x**5 + 148*x**4 - 16*x**3 - 608*x**2 - 544*x + 64 = 0. What is x?\nAnswer: -2, 2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - s**3)*(-5 + 2 - 2).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004037 rounded to 4 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.2 = 11848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/823650 and 37\/1330.\nAnswer: 5765550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in -2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 5. Let q be t(0). Let l be 12\/7 - -2 - (-30)\/105. Let g be (-6)\/l*((-21)\/9 + 1). Put -2, q, g in descending order.\nAnswer: q, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15971121, -31942243, -47913365?\nAnswer: -63884487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1784\/5798*((-9)\/(-27))\/((-4)\/(-6)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-34)*(-2)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 145, 202, 113, -170, -695, -1510?\nAnswer: -2663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*o**2 - 21*o + 13*o + 8*o to the form v*o**2 + b*o + m and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z - 9. Let p be ((-24)\/(-3))\/4 + 6. Let y(f) = -p*f - 3 - 2 + 10*f + f. Determine 3*m(n) - 5*y(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s + 2. Let g be v(2). Suppose h - 12 + 13 = 0. Let j be (h\/1 + 801)*1870\/g. What is j rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(99) - (sqrt(99) - (sqrt(99) - (sqrt(99) - sqrt(99)*-1 - sqrt(99)))*-2)))\/(sqrt(45)\/(sqrt(10)\/sqrt(2)*2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-108)\/(-15))\/(-1 + (-24)\/(-20)). Solve j = 4*d - 5*w, 5*d + 4*w - 16 = 3*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2501*x + 11172 = 2273*x for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 3*u**2 + 13*u + 16. Let l be b(-5). Let c(s) = -6*s**2 + 1. Give c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 = 4*k - 5*y - 2191, -5*k + 2077 = -4*y. What is the remainder when k is divided by 71?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 791, 1184, 1575, 1964, 2351?\nAnswer: 2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/84 and -19\/100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 448 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*j + 27, 4*q - 9 = 3*j + 15. Let z be (12\/(-10))\/(q\/(-2)). Let c be (-2)\/(-5)*(-1)\/(-1). Sort 1\/6, z, c in decreasing order.\nAnswer: z, c, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 1. Let h(d) = -d**2 - 2*d + 2. Let w = 4 - 0. Suppose 5*y + w = -1. Determine y*h(t) - 2*o(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 + 269 = 33*a + 81*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 56 (b) 1\/3 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3625*m**3 + 1476*m**2 - 7*m + 7. Let n(s) = 2416*s**3 - 983*s**2 + 5*s - 5. Let c(p) = -7*n(p) - 5*w(p). Find the third derivative of c(l) wrt l.\nAnswer: 7278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/9, -0.1, -3\/14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(88)\/(sqrt(8) + -5*(sqrt(8) + sqrt(8)*1)) - 2*(sqrt(11) + sqrt(121)\/(sqrt(11) - (sqrt(11)*2 + sqrt(11))) - (2 + (sqrt(33)\/sqrt(3))**2)).\nAnswer: -10*sqrt(11)\/9 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 2, d: 1, h: 1}. Give prob of sequence eqhq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 - 674. Let o be (-2150)\/(-3 - l\/180). What is o rounded to the nearest one thousand?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z**2 + 7. Suppose 73*g + 100 = 75*g. Let r = 43 - g. Let d(h) be the third derivative of -11*h**5\/60 + 5*h**3\/6 - 3*h**2. Give r*d(f) + 5*w(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 36*p**2 + 4*p + 2. Is x(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x. Let d be c(1). Let s(n) = 107*n + 15. Let v be s(d). What is v rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + 22.5. Let u = n - 19.7. Which is the closest to 2\/7? (a) -4 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4892*s + 5.\nAnswer: 4892*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.11972976 rounded to four dps?\nAnswer: 24.1197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2137798 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, w: 14}. What is prob of sequence wppw?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m. Suppose -r + 3 = -m. Put 0, r, -3 in ascending order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = v - 189, -8*n + 3*v + 261 = -5*n. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3 - 11)*(34 - (-84)\/7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 59. Let m(g) be the third derivative of 0 + 5*g**2 + 0*g**4 + 0*g**3 + 0*g + 1\/30*g**5. Calculate m(x(l)).\nAnswer: 8*l**4 + 472*l**2 + 6962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0081 and 12?\nAnswer: 11.9919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**3*n**2 + 852*h**3 + 1301473*h*n**2 - 2*h - 15595 with respect to n.\nAnswer: 8*h**3*n + 2602946*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n**3 + 6*n**2 - 4. Let o be y(-2). Let s(m) = -70*m - 2802. Let q be s(-40). What is the second smallest value in q, o, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a century in decades?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*-17*(-130)\/1105.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = -c - 0*c, 5*c + a - 87 = 0. Let w(x) = 2*x**2 - 2*x + 1. What is the remainder when (-6)\/(-4)*24\/c is divided by w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/46332 and 89\/76.\nAnswer: 880308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 3*o + o)*(-24*o - 9*o - 4*o).\nAnswer: 74*o**2 + 37*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 991312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3240971087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k + 25 = 0. What is the derivative of 2 + k + 2*l - 6 wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-five quarters of a millisecond?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**5\/w*w*w**(-17)*w*(w*w**(-10\/7)\/w)\/((w*w\/((w\/(((w*((w*w\/(w*w\/(w**21\/w)))\/w)\/w)\/w*w*w)\/w*w))\/w))\/w) assuming w is positive.\nAnswer: w**(-234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 5\/((-10)\/6))*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*i**6 + 176*i**4 + 4*i**3 + 6873*i**2 - 85*i wrt i.\nAnswer: -3360*i**3 + 4224*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 7544452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4827 is divided by 646.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -35 + 1\/3*a**3 + 14*a + 0*a**2 - 25\/2*a**4. Find the third derivative of r(h) wrt h.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/((-8)\/75520*-8)*(-12)\/(-30)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 557, -1, 0, 1, 3, 4 in increasing order.\nAnswer: -1, 0, 1, 3, 4, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-264)*-101701*1. Let j = f + -8486. What is the common denominator of -87\/32 and j?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 2:13 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*l - 51 = 0, -14*r = -16*r + 5*l + 43. Let m = r + -9. Let a be 6\/21 + (-10)\/(-14). Calculate the greatest common divisor of m and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -18*m - 11. Let b(u) = -9*u - 7. Let j(x) = 5*b(x) - 3*n(x). What is j(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -49 + 16 + (0 - 8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*z)*(0 + 1 + 1)*(-1 + 3 - 5) - 2*z + 1 - 1 in the form d + t*z and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v**3 + 5*v**2 - 10*v + 10. Give t(2).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-105)*-25)\/((5\/(-225))\/(1\/(-6)))\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k\/k**(-4\/7)))))\/(k\/k**5*k*k) assuming k is positive.\nAnswer: k**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1288486, -2578443, -3868400, -5158357, -6448314?\n\"Answer: -1289957*v + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224899 is divided by 408289.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-14))\/(12\/42). Suppose 0 = a*i - 3*i. Solve 3*s - 5*s = 2*m + 2, s + 5 = i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a**2 + 4*a - 7. Let b(m) = 9*m**2 + 5*m - 8. Suppose 18 = 11*k - 59. Calculate k*w(q) - 6*b(q).\nAnswer: 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28426 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6)**38)**(-14) assuming o is positive.\nAnswer: o**(-3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f + 4 - 4*f - 2*f**2 + 2*f + 4*f**2. Let k be v(-3). Suppose 3*u = k*u - p - 25, 3*u - 6 = 5*p. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -17*2\/(-1 - 1). Let o = 26 - k. What is the highest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 16 = 91 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 44. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6113534 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.818 centuries in months?\nAnswer: 140181.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 10*c + 4 + 5*c)*(c - 2*c**3 - c) - 2*c + 2*c - 18*c**4.\nAnswer: -8*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 0.1, -37\/8 in descending order.\nAnswer: 10, 0.1, -1, -37\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 - 4*h - 3. Let l(i) be the first derivative of -5\/2*i**2 - 4*i + 7 - 5\/3*i**3 + 1\/4*i**4. Suppose 0*v - 8 = -2*v. Give v*l(g) - 5*z(g).\nAnswer: -g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 1152.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = -4*u - 0*u. Factor -50*l**3 - 12*l**2 - 24*l**3 + u*l**3 - 8*l.\nAnswer: 4*l*(l - 1)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1922\/396591?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 41*r**2 - r. Let s be a(-1). Let m = s - 14. Let h(q) = q**2 - 3*q - 8. Calculate the remainder when m is divided by h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/1*1\/(-2)*4. Suppose 9*f - 869 = u. List the prime factors of f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -13. Let z = a - 10. Suppose -c = -21 - z. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3509 - 3505 - (26 - (-1 - -3))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235*(-140)\/525*12\/16.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -911557362 less than -1.705?\nAnswer: 911557360.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 + 2*b**2 - 3*b - 3*b - b + 10. Let p be s(-8). Find the second derivative of z + p*z + 9 - z**3 - 9 wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2322 + 38. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780602 (base 11) in base 12?\nAnswer: -500739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 677, 816?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 3*v. Suppose 0*b - b + 9 = -2*f, -5*f - 3*b - 28 = v. Let z(p) = -p**3 - 3*p**2 + 5*p + 7. Is z(f) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -43 + 128. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000236 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 5 + 18*g - 161*g**5 - 11*g - 22*g + 1 wrt g.\nAnswer: -3220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/60 + v**5\/10 + v**4\/6 - v**2. Let p(f) = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*6\/(-9). Let v be f\/(1\/(-4)) - 0. What is the units digit of v\/14 + (-88)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 207*c + 9. Does 12 divide x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 3130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.43 - 0.29. Let y = 0.28 - c. Put -5, y, -1 in descending order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 949400666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/6))**(-15)\/(s**6*(s**(-2\/17)\/s)\/s*s*s) assuming s is positive.\nAnswer: s**(-625\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 236144 + -4?\nAnswer: 236140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/139? (a) 0 (b) -2 (c) -1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -24 (c) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -419 - 46 + 70 - 125 - 11*w to t + l*w and give t.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 4. Let h be 192\/(-16)*4\/(-6). Let d = h - r. Solve 0 = d*l + 2*p + 10, 2*l + 6 + 4 = -3*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 1271, 2891, 5181, 8153?\nAnswer: 11819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - ((-2)\/(-4)*-10 - 103) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 0*m + 0*m)*((-1 - 1 + 0)*(4 + 2 - 4) + 3 + 3 - 5 - 1 + 3 - 3)*(2 + 1 - 1) as s*m + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0376, 1.2, -3, 0.63?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 319352429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*h + c + c, -2*h + 28 = 4*c. Suppose h*b + s = 116, -3*s + 78 = 2*b + b. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4395 or 4391?\nAnswer: 4395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -76*q + 12. Let i be c(10). Let y be i\/36 - (-4)\/(-18). What is the units digit of (-4)\/14 + (-111)\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.049 + -0.037. Let v = 87046 - 87045.9140048. Let b = u + v. What is b rounded to 7 dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6314365 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4.55. Let b = 0.15 + x. Let l = -1.04 + 1.34. Put 2, l, b, 1 in descending order.\nAnswer: 2, 1, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190105980.\nAnswer: 2, 5, 7, 8500757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4442 + -1537?\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j - 30. Let h be l(7). Find the second derivative of -26*i + 730*i**2 - 17*i**5 - 14*i**h - 730*i**2 - 2 wrt i.\nAnswer: -620*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1393250 and -82\/1253925.\nAnswer: 12539250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114755268 is divided by 2876.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.71917 rounded to one decimal place?\nAnswer: -26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9 + 2*v + v - v. Let y = 0 - 5. Let n(d) = -d - 4. Let g(z) = y*n(z) - 3*a(z). Determine g(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102041453 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96450109 to the nearest integer?\nAnswer: 9821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7791843*m**2*p*s - 2*m**2*p + 2*m**2*s + 18206*m**2 + 6*m - 7*p wrt s.\nAnswer: -7791843*m**2*p + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.101 and -5?\nAnswer: -0.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 251*g**5\/60 - 39*g**2. Let a(v) = 2*v. Give d(a(y)).\nAnswer: 1004*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75051 is divided by 3410.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 7. Suppose 4*j - f = -1. Solve -k - 5 - 20 = -j*w, -3*w + 2*k + 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.52, 3\/4, -3, 0.03?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12337.3 and -1?\nAnswer: 12337.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 295184819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5836503 and 42801022?\nAnswer: 128403066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000170819 rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5 - 3 = 0, -3*p = 4*b - 16. Suppose -7*m = -3*m - p. Differentiate -6*f**m + 2 - 4 + 7*f**2 with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g + 3*t = 48*g + 19, -7 = -4*g - 3*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:36 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77940.51mg to tonnes.\nAnswer: 0.00007794051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 103. Let q = n - -44.00000066. Round q to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 5. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/7 (b) 45 (c) -85 (d) 0 (e) -59\/7 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyujy. What is prob of sequence uyjy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let p(f) = 454*f**2 + 2*f. Give i(p(q)).\nAnswer: -454*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 minus 2?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3453259817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 1328*f + 181821. What is q(155)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/9))**(-2\/9)\/(w**(-1\/3))**(-6))\/((w*w*w\/(((w**1*w)\/w)\/w*w)*w)**(-8\/7)*(w\/(w*w*w**(2\/7)*w*w))**(-19)) assuming w is positive.\nAnswer: w**(-4963\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 4*q**2 - 2*q + 4. Let v = -37 - -37. Let u be (1\/(-2) + v)*284\/(-2). Let z = 75 - u. Determine r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -3)*2\/6. Let m = 10 + -6. Let r be m\/(-2) - (-18)\/15. Sort -1\/3, r, h in increasing order.\nAnswer: r, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45.9 and -0.584.\nAnswer: 26.8056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 23 + 2. Solve -2*p + w*p + 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -555 (base 7) to base 14\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 154 = 2*q, 0 = -2*q + 4*q + 4*n - 166. Let w(l) = -7*l**2 - 4*l. Let m be w(3). Let t = q + m. Solve -p + 6 = -2*s, t*p - 22 = 5*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-199 + 1903 - 263)*(3*d - 4*d - d) to the form f*d + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*y - 38*y - 51 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1814?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -1413, -3215, -5753, -9027, -13037, -17783?\nAnswer: -23265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1642)\/(-5) - ((-12)\/(-20))\/(-1)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 6*l - 4. Let w = 6 - 3. Let k be d(w). Suppose 5*i = 25 - k. Solve -3 = -5*j - v + 3, i*j = 4*v + 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - 90*w + 1 + 49*w + 38*w in the form y*w**3 + n*w**2 + d + i*w and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (-27 - -28 - -20)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(0 - 1) - 28. Let f = d - -27. Factor f - 5\/4*w**2 - 1\/4*w - 7\/4*w**3 - 3\/4*w**4.\nAnswer: -w*(w + 1)**2*(3*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 49*x + 53. Calculate l(41).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(sqrt(11) + 1)*-1*-6.\nAnswer: -90*sqrt(11) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w*w\/(((w\/(w*w\/(w\/w**(-2\/9))))\/w*w)\/w)*w)**(-12)*(w\/(w*w*w\/w**(-5\/6)*w*w))\/w*w*(w*w**(3\/2))\/w assuming w is positive.\nAnswer: w**(-254\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*l - 5*x + 35, 0 = l - 2*x + 1. Suppose l*v + 0*p = 4*p + 179, -65 = -2*v - 5*p. What is the lowest common multiple of 9 and v?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u + 12*u - 5 + 23*u - 8*u.\nAnswer: 38*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 17 = u, -90 = 4112*f - 4102*f - 5*u for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32\/5 of a hour?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + z + 153. Let s be v(0). What is the second derivative of -117*p**3 - 6 + s*p**3 + 16*p + 3 wrt p?\nAnswer: 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*o - 20, 6*o - 2*o - 48 = -5*f. Suppose z + 3 = 2*n, 3*z - 12 = -z. Let i = -5 - -10. Solve -f*x - i = -n*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:15 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 13*w + 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4255416 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010110 - 1100011?\nAnswer: 101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 - 3922830*j + 769429760445 = 0 for j.\nAnswer: 392283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - -23) + 110 + 2 + (5 - 1)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w**2 - 7*w + 2. Let k(z) = -5*z**2 + 3*z - 1. Let d(u) = 9*k(u) + 4*l(u). Let t(q) = q**2 + 5*q + 2. Let c be t(-4). Give d(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d**2 - 21*d - 2. Let o be x(5). Let y = 716\/5 - o. Which is the third biggest value? (a) y (b) -7\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1447484 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9078906 litres to millilitres.\nAnswer: 907.8906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 1, p: 2, d: 3}. Give prob of sequence pp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*1 - sqrt(6))\/sqrt(2178)*-3.\nAnswer: -9*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 87257897.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.2, 1, -0.015602, 3, 7?\nAnswer: -0.015602","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 798255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/60 - 13*x**4\/24 - 4*x**3\/3 + 3*x**2. Let d be v(-12). Solve 0 = d*a - 12, 0*z - 2*a - 6 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 246*(-120)\/(-18468) - 3\/2 and -29\/45.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:51 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 2. Let b be t(0). Solve -b*n + 8 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 10, 9, 8, 7, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -66*z + 63*z - 2*z**3 + 3*z**3 + 2*z**2 - 1. Let l(d) = -7*d + 1. Let y be l(-3). Suppose -3*p + y*p = -38. Give n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 + 109. Suppose 0 = 5*g - 7 + 62. Let h = g + 9. Which is greater: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - 31205200?\nAnswer: -31205050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o - 27*o + 46*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 9:11 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*r - 21*r + 47*r)*(-2*r + 3*r - 4*r) + (3 + 3*r - 3)*(1 - 1 + 2*r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*r - 216*r - 1723 = 3513 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 9. Let n be l(7). Let t = n + -7\/3. Let w be (-5 - (-2 - -1))\/(-10). Which is the second biggest value? (a) w (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3 + 8946*q**2 + 4231767*q - 8499294 = 0.\nAnswer: -417, 2, 3397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2771 + -2547. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 65. Let d = -39 + r. Let x = -141 + 146. Calculate the remainder when d is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -5.1. Let y = -14 - -13. What is the nearest to y in i, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 1\/((-1)\/2984) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5376 and 12048?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 667534247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1696 - 717. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5970 and 1075794?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 11*o**5\/60 - 17*o**4\/8 - 7*o**3\/2 - 3*o. Let v(q) be the second derivative of j(q). What is the hundreds digit of v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 3, n: 4, j: 2, h: 1}. What is prob of sequence ll?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 10) in base 3?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/90*(-20)\/(-7) + -11)\/(0 + -1)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 74?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10602 = -568*c - 4166 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030165 to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22\/(704\/912))\/15)\/((-3)\/12*-2).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -199*y**8\/28 - 1367*y**4\/12 + y + 54. Find the third derivative of n(w) wrt w.\nAnswer: -47760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 4, h: 3, b: 2, m: 2}. What is prob of sequence cpb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -1501, -5234, -12511, -24514, -42425, -67426?\nAnswer: -100699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o + 19*o + 27*o + 5*o**3.\nAnswer: 5*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -906479.\nAnswer: -906479.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(9 - (-3 + 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dduddddudd. What is prob of picking 1 u and 2 d?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -15. Let p(n) = -47*n**3 - n - 1. Let i be p(x). Suppose -d + i = -20. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**5\/30 + 11*y**4\/8 - 13*y**3\/6 + 213*y**2\/2 + 255. Let g(d) be the second derivative of u(d). Calculate g(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524487913?\nAnswer: 3, 17, 113, 151, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 52 = -3*w, -53 = -w - 3*s - 14. Suppose -h + 4*h - w = 0. Suppose u - 3*u = -4. Solve 5*d + h = -2*i, -2*i = -2*d - u - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 36 - 19)*((1 - 4 + 2)*(3*w - w - 3*w) - 3*w + 6*w + 0*w) to the form p*w + n and give p.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 + 124. Suppose 5*z + 25 = 0, 3*k + 6*z = z - h. Let d(q) = -3*q + 3. What is the lowest common multiple of 2 and d(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.51 + 1.4. Let d = k + -4.89. Let w = -8 + 41\/5. Which is the smallest value? (a) -2 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65960\/11 + 6003. Let l = m - 5059\/759. Is -1 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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 is -224 (base 6) in base 7?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 363*u**4 - 114 - 365*u**4 + 0*u**3 - 5*u**3 - 3*u + 115 - 2*u**2 - 4*u to the form b*u**3 + k + w*u**2 + q*u + n*u**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5677395 is divided by 1419306.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 107. Solve 5*g = k*g - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 183*m. Let s(a) = 28*a + 13. Let f(r) = -13*r - 6. Let o(y) = -13*f(y) - 6*s(y). What is z(o(n))?\nAnswer: 183*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 1. Calculate y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**2 - 1. Suppose 0 = -3*m + 12 - 3. Let p(q) = m*q + q + q. What is o(p(t))?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 447, -2\/5 in decreasing order.\nAnswer: 447, -0.3, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27692*w - 20379*w + 38897*w)*((-3 + 2*w + 3)*(w**2 - 6*w**2 + 4*w**2) + 1 - 3*w**3 - 1) to the form g + o*w**3 + n*w**4 + a*w**2 + m*w and give n.\nAnswer: 45870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 1202203320201?\nAnswer: -1202203320123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alaa when four letters picked without replacement from {a: 4, v: 3, e: 4, l: 3}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/((-3)\/6). Suppose 0 = 813*p - 895*p - 410. Which is the smallest value? (a) h (b) 0.35 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3960784.\nAnswer: 2, 23, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 225 = 96 + 111 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.015 * 1.02.\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412434224 - -114?\nAnswer: -412434110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -443*u**5\/60 + 1205*u**4\/24 + 4163*u**2. What is the second derivative of v(n) wrt n?\nAnswer: -886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4))**(-3\/4)\/(h\/h**(2\/23)*h*h**2) assuming h is positive.\nAnswer: h**(-1371\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13*h - 80. Is 8 a factor of y(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -36*r**2 + 3*r. Let b(j) = -71*j**2 + 5*j. Calculate 3*b(z) - 5*x(z).\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.36 - -9.36. Sort 5, 0.2, i, -26 in descending order.\nAnswer: 5, i, 0.2, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/((-60)\/(-63)))\/(1\/2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.093 - -0.833. Let f = y - 20.74. Let a = 20.0000114 + f. Round a to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139707*l**2 + 37482*l wrt l.\nAnswer: 279414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 10) in base 15?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -230 - 5?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52783 is divided by 2826.\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - u - 8 = 0, 2*j + 2*j - 7 = -u. Let p(d) = d**2 - 4*d + 2. Let q be p(j). Let z = 3 + -2. Which is the second smallest value? (a) q (b) -2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -737751\/80 - -9222. What is the common denominator of 81\/32 and b?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173254943*a**2 - 153116545*a.\nAnswer: -346509886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 61*r**2 + 596*r - 9748. Determine w(-40).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2\/3 (c) -0.07 (d) -0.5 (e) 10\/31 (f) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 312\/17623 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/21 - 53\/(-28). Let k = -3\/2 + m. Which is smaller: k or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7.1. Let y = 4.9 - j. Which is the nearest to -2? (a) 0 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/101? (a) -33.4 (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) - (7 - 1)\/(-72).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*w - 2 = -61, 8 = -2*w. Suppose 8*d = 5*d + v. What is the third derivative of -3*y**2 + y**2 + 8*y**d - 10*y**5 - 3*y**2 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33572, 33573, 33574, 33575, 33576, 33577?\n\"Answer: w + 33571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1320860*r - 638158 with respect to r.\nAnswer: -1320860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 25 = -5*p, 4*p + 3*n = -72 + 69 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 404 - 398. What is the hundreds digit of (-25)\/30 - (-1409)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 3. Let l be q(5). Suppose 10 - 9*o**3 + l*o**5 - 10 - 3*o**2 = 0. Calculate o.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1051379 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7527*s + 75282. Determine q(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 3*t. Let c(h) = 5*h + 4. Let w(d) = -d**2 - 6*d - 5. Let y(n) = 4*c(n) + 3*w(n). Let g(z) = -4*k(z) + 3*y(z). What is g(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 13*h. Let z be q(-1). Let d(g) = 3*g**3 + 44*g**2 - 13*g + 12. Let c be d(-15). Let n = z - c. Sort -2, 2, n.\nAnswer: -2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/(-42) - 4\/(-14). Let w be (2\/20)\/((-42)\/25). Let u = w - 4\/21. Which is smaller: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.3 + -60. Let i = 1472 + -1472.7. Let n = i - m. Which is smaller: n or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.189, 0.01, 0, 16, -18?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*i + 4*i - 10, 4*v = 0. Let q(s) = -5*s. Let p(u) = 3*u. Let d(c) = i*q(c) + 8*p(c). Let w(b) = 3*b. Give w(d(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 + 132. Solve -5 = -i - z, -4*i + 15 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21275460 and 1350?\nAnswer: 106377300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u - 137*u - 132*u - 1365 = 3738 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.19 (b) -0.05 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 3. Let s be ((-3)\/6)\/(-2*(-2)\/64). Let d be p(s). Suppose -5*x = d*m - 45, -4*x + 59 = -x - 5*m. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f = m, -m + 2*f = -6. Let w = m + -5. Suppose -148 = -4*b + 4*p, w*p + 77 = -5*b + 262. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (27 - ((-16 - -17) + 33)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1254781*b - 1 - 8*b**2 - 1254783*b + 1.\nAnswer: -8*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*l = 6, -15*t + 12*t = -l - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-5))\/((-1)\/(-5)). Let b = 8 - 13. Sort c, b, -3 in decreasing order.\nAnswer: c, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 62*n + 873. Let s be h(22). Let a(b) be the second derivative of -3*b**2 + 0 - b - 1\/3*b**3. Let g(q) = -q - 3. Give s*g(m) + 4*a(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10641 = -21*u - 9549. Calculate the remainder when u is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2\/2 - 4*z - 9. Suppose 0 = 2*t - 5*t + 27. List the prime factors of v(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:39 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvuvvvv?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -2, -3\/8, -0.1, 2\/11?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -81256, -16, 1, 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -198170 divided by -10430\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 312?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -101*u**3\/6 - 129*u**2 + u - 61. What are the prime factors of q(-10)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aca2 + 1?\nAnswer: -aca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354600 is divided by 682?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n = -18*n - 3549. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11039*x - 45286. Calculate i(-4).\nAnswer: -1130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -3154.43?\nAnswer: 3154.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - u**2 - 4*u**2 + 0 + 2*u**2 + 0 + (2*u + 0 + 0)*(0*u + 2*u - u) + 4*u**2 + u**2 - 2*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/63 and 43\/82599.\nAnswer: 1734579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 2*a**4 - a**4 + (a + 3*a + 5*a)*(4*a**2 - 1 + 1)*(4 - 4 + a) + 3*a**4 - 2*a**4 + a**4.\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 2\/10337?\nAnswer: 2\/10337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1279 - 914. What is the remainder when 245 is divided by (s\/(-20) - 5)\/(3\/(-4))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.34 + -9.34. Let v = 9 + -17. Let y = b - v. What is the nearest to 1\/4 in 0, 5, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 82345965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/945*-5*(-15)\/(-198)*-14?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1239410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1657 is divided by 104.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1f1b (base 16) to base 9.\nAnswer: 1330723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 141541*l + 283084*l + 8*l**2 - 141543*l.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/(-160) - ((-26)\/10 + 2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -182.8 + 202. Let y = z + -19.6. What is the biggest value in y, -3\/31, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**4\/24 + u**3\/6 - 2*u**2. Let p be l(1). Suppose p*z - 13 = 9. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, b: 3}. Give prob of picking 3 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(480))\/((sqrt(48)\/sqrt(2))\/sqrt(4)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83282146*l + 24168483*l - 33276428*l.\nAnswer: 74174201*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24\/11 - -146\/77. Let u = l + -22\/21. Let g be (1\/19)\/(1\/2). Which is the smallest value? (a) u (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**2 + h + 1. Let f be g(-1). Let v(z) = z**2 + 10*z - 3. Let j be v(f). Let d = j + 33. What is the highest common factor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -737455 or -737404?\nAnswer: -737455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10324 + 11400413?\nAnswer: 11340034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168791 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/(1\/(-3)). Which is the third biggest value? (a) 0 (b) 2\/11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2 - -4) + -3. Suppose n = -2*h - 1 + 53. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/5 - 19752*g - 2663604\/5.\nAnswer: -4*(g + 27)*(g + 24663)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 6*h**3\/5 - 12*h**2\/5 - 48*h\/5 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/8454 and 125\/18?\nAnswer: 25362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101110222212 - 101100?\nAnswer: 1101110121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/10 (b) 0.257 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -577*g**3 + 6*g**2 + 6*g + 21. Let x be u(-4). Suppose -5*v - 2*z = -3*z - x, 0 = 4*v + 5*z - 29640. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*k**2 - 77*k**2 - 16 + 307*k**2 + 19 - 17*k**2.\nAnswer: 388*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2200 and 157\/10010.\nAnswer: 200200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**3\/3 - 4*h**2 + 24*h + 28. Let s be b(-11). What is the remainder when 142 is divided by s\/(-6) - (-110)\/4?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42716.978 rounded to the nearest 1000?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 20*k - 14)*(3 - 1 - 3)*(12*k - 1248 + 1248).\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/26 + 1635315\/94380)\/(-6).\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 4, x: 5, g: 9, f: 1}. What is prob of picking 2 g and 1 f?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17109960 rounded to the nearest one hundred thousand?\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 39. Solve r + f*r - 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-28)\/16)\/(6\/(-4)). What is the second smallest value in -0.2, 1440, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76557809 is divided by 3584?\nAnswer: 3569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69853.\nAnswer: 7, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3506756\nAnswer: -5\/3506756","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -10. Let g(d) = d**2 + 11*d - 8. What is the remainder when (-1119)\/(-21) + 2\/(-7) is divided by g(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*27.495\nAnswer: -54.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*d**4 + 5*d**3 - 28*d**2 + 28329*d wrt d.\nAnswer: 1740*d**2 + 30*d - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*1014\/(-5408) + 710*5\/(-40)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-12) + 252\/16. Suppose 3*m - r = -0*m. Suppose 0 = 3*n - 5*c - 84, n = -m*c + 6 + 22. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 5*y - 14. Let j be r(-8). Suppose -5*f - 97 = -2*g - 24, 2*f + j = 0. Suppose g*w - 16 = 23*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64659017, -1\/2, 5, 1\/3.\nAnswer: -1\/2, 1\/3, 5, 64659017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/363 or 0?\nAnswer: -10\/363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**(-1\/5)))\/a)\/(a*a*a**(-2\/7)*a)*a**(3\/8)*a*a**(11\/3) assuming a is positive.\nAnswer: a**(443\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-686)\/(-84))\/(1\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (2 - (2 + -1)). Let t be ((-12)\/24)\/(0 - 0 - -1). Which is greater: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:31 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**4\/6 + p**3\/3 + p**2 + 20*p. Let z be o(-2). Differentiate 13 - 13 + 15*j**4 - z wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634113 is divided by 634101.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*c - 66. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 342, 912, 1702, 2712, 3942?\nAnswer: 5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 - -25) - (4132 + -4149)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let a(w) = -5*w - 29. Determine -a(l) - 4*h(l).\nAnswer: l + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - b + 112 = 3*b, -20 = -4*b. What is the greatest common divisor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a - 1. Suppose 0 = j + 4*p - 15, 7*j - 3*j + 15 = -p. Let c(w) = -7*w - 1. Give j*c(v) + 4*y(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 499746 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4790909, 4790906, 4790913, 4790936, 4790981, 4791054?\n\"Answer: d**3 - d**2 - 7*d + 4790916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v**2 + 20*v + 24*v**2 - 5*v**3 = 0. Calculate v.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2. Let u(t) = 93479*t. Determine y(u(l)).\nAnswer: 26214970323*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -32854 at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46078 + 70517. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 85.\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 + 38*l**2 + 2*l + 9. Let n be x(9). Suppose -23*r + n = -17*r. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 534 and 89?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2\/5 (c) 1507 (d) -0.7 (e) -0.3 (f) -19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28544 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -386\/5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -123*d - 150. What is g(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/((-5)\/1520). Let k(q) = q**2 - 136*q + 3246. Let o be k(33). Is o < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158307.8 - 158308. Let k = 5 + -8. Let o = -2 - 0. Which is the second biggest value? (a) o (b) k (c) 0 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 3:12 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.3, -1\/281, 5, 3, 6, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.36 + 0.04. Let l = 1.4 - u. Let x = -0.01386 + 0.11386. What is the closest to x in 2, l, 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytmg when four letters picked without replacement from {t: 1, h: 3, g: 1, m: 1, y: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 2*y + 2. Let w be p(3). Let j = w + 59. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -13221?\nAnswer: -13232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 1 - (0 - 1). Suppose 5*p = m*p + 6. Let x = 1 + 6. Solve -p*i - 15 = -x*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**4\/38 + 22*g**3\/19 - 363*g**2\/19 + 2662*g\/19 + 149. Factor b(w).\nAnswer: -2*(w - 11)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*38.8.\nAnswer: 1008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3166, -11902, -26212, -46090, -71530?\nAnswer: -102526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 12*r**2 + 12*r - 12. Let t be c(-8). What is the highest common divisor of 60 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*487.18.\nAnswer: -4871.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 58\/3. Let v be 5\/(10\/4) - 0. Let k = -0.1 - 0.1. What is the second biggest value in d, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 41*g + 25. Determine n(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from pfhpfhhhhpfffp?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401.117mm to meters.\nAnswer: 0.401117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5722622 less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Suppose k*c + 12 - 42 = 0. What is the lowest common multiple of c and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2050\/7 + 295. Let c = -285743\/21 - -13603. Let o = h + c. What is the biggest value in o, 1, 1\/31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 177*g - 173*g = 16, -2*k + 2 = 3*g. Sort k, -6, 48, 2 in descending order.\nAnswer: 48, 2, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**(-2))\/d)\/d**(-5))\/(d**(-2))**(-9) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(((k\/(k**(-5\/7)\/k*k))\/k)\/k)\/k*k**(-3)*(k**1)**(-4\/13)*(k*k**0\/k*k*k)**(1\/11)*(k**(-1\/3))**(-2) assuming k is positive.\nAnswer: k**(-8243\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 5*b + 3. Let k be g(-5). Solve k*p + 2*p - 20 = 2*a, 0 = -4*p + a + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -3*d + 47 - 158, -77 - 71 = -d + 10*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.07, 56?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6273609.7 and 11496.\nAnswer: 6285105.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18863, -37655, -56435, -75203, -93959?\n\"Answer: 6*p**2 - 18810*p - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8, 332 = 5*c + 2*m + 253. Solve c*f - 17*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -117, -169, -239, -345, -505, -737, -1059?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 28*h**2 + 48*h + 3. Let y be d(-2). Solve -j = 4*n + y, -10 = -0*n + 2*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + 8 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 65\/(65\/5)*4\/10. Suppose -2*a = -2 - 6. Suppose 6*z - a*z = 3*c - 22, 2*c + y = -2*z. Solve u = 3*u - c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -16. Let r(o) = -o**2 + 6*o + 10. What is the units digit of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -5. Let m = -41 + 203\/5. Which is the closest to m? (a) u (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*2*7\/(-28). Suppose u = b, j - 4 = -b + 4*u. What are the prime factors of ((-5)\/10)\/(b\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*j - 10 - 11, -3*f - 3*j = -99. Suppose -s + 113 = f. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29569006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, b: 1, r: 10}. What is prob of sequence ddr?\nAnswer: 280\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2825855*b**4 + 1616954*b**2?\nAnswer: -67820520*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 16*l = 511. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/((-9)\/(-3))*2. Let j be 1 - (-1 - (o - -1)). What is the remainder when 2\/2*(1 - j) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/4 and -29\/4800.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 742 + 39?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.202 != 0.061297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -26*t - 4. Let b be a(-2). What is the highest common divisor of b and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(((-198)\/77)\/9).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/3 - 7. Let g = 3647 + -3646.2. What is the second smallest value in 0.4, s, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126154 + 15550?\nAnswer: 145034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 782244*v + 782240.\nAnswer: 4*(v + 1)*(v + 195560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)*d**11)\/(((d*d*(d*d*d\/d**11*d*d)\/d)\/d)\/(d\/(d**(-2)*d)*d*d)) assuming d is positive.\nAnswer: d**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2. Let b(i) be the first derivative of 4*i**3\/3 - 60. Give d(b(r)).\nAnswer: 80*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.5, -1\/58, -1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 5*w**2 + 2*w - 3*w - 4. Let i = -760 - -756. List the prime factors of k(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -p, 0 = 5*n - p - 475. Suppose 92*z + 20 = n*z. Let i(y) = -y**2 + 5*y. Let c be i(4). Solve -f = c*f + z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74, -85, -106, -137?\n\"Answer: -5*l**2 + 4*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 5, p: 1, b: 1, n: 3}. What is prob of sequence bn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -13.00017. Round s to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 + q + 3. Let h be k(-3). Let u(v) = v**3 - 3*v**2 - 2*v - 3. Let g be u(3). Let f = h + g. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (4 - -14)\/(-3))*-1. Let o be (10\/n)\/(((-1250)\/(-60))\/25). Solve o*u - 30 = -28 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*f**3 + f - 37*f**3 - 5*f**3.\nAnswer: -184*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3924414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 o when four letters picked without replacement from {o: 3, s: 6, q: 4}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 6*b**2 + 6*b + 6. Give q(8).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3473*c - 3473*c + 27*c**3 + (-3*c**2 + 4*c**2 - 4*c**2)*(4 - 2*c - 4) to u*c**3 + p*c**2 + a + v*c and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 245303*b + 2698343. Calculate k(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -379.5 - -168.5. Let z = -238616.5701 - -238405.5700814. Let y = k - z. Round y to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13569)\/362 + -2)\/6. Let m be (12\/(-30))\/((-2142)\/15 + -2). Let s = f - m. What is the common denominator of s and -23\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 9059*y**2 + 9098*y**2 - 3*y - 18159*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -353, -1541, -3515, -6269, -9797?\n\"Answer: u**3 - 399*u**2 + 2*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-954)\/(-63) + -3)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 - -86. Let w = l + 52. Suppose -2*f + 48 - 18 = w. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/12 + 1\/2. Let h = f - -18. Is -6 + 4 + 1 + h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.037046 decades?\nAnswer: 0.03037046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15920 less than or equal to 15861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + (15 - 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 33*j - 15. What is the second derivative of 4*x - 5*x**4 + j*x - 29*x**2 + 3*x**4 + 23*x**2 + 3 wrt x?\nAnswer: -24*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - 5.94. Let q = 9 + t. Let k = 3.3 - q. Which is the third biggest value? (a) k (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1169*f + 53*f - 315*f - 452*f - 1195*f)*(-f**3 + 0*f**3 + 2*f**3).\nAnswer: -3078*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 9273\/121819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -74, -73, -54, -11, 62, 171?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110 + -2202011010?\nAnswer: -2202002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeq when three letters picked without replacement from qeeqeqqqeqeqqeee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -67113\/12850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -20, 3*y + 14 = 50*b - 48*b. Let f(c) = 6*c + 3*c - 5*c + 1. Calculate f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 11. Suppose c - 2386 - 771 = -4*n, 3943 = 5*n - 2*c. Is n - (w + 4 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-2*n + 2*n - 2*n**4) + 2*n**4 + 2*n**4 - 6*n**4 + (6*n**4 + 0*n**4 + 2*n**4)*(0 - 2 + 1)*(-1 + 1 - 1).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 0*o. Let l(s) = -s - 9. Let m be l(-7). Let a(z) = -z**3 + 8*z**2 - 2*z + 11. Let x be a(8). Sort m, x, o.\nAnswer: x, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*h - 3 + (-2*h + 5*h - h)*(-2 - 3 + 8) + 2*h + 0*h + 0*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 483*o**2 - 54*o. Does 12 divide r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 9. Let g be t(-6). Let y be g + (-12)\/(0 - -1). Let i be y\/(-5) + 2\/(-2). Solve -6*j + 12 = -i*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 1\/2*x**2 + 8 + 0*x. Let y(o) = -7*o. Determine y(d(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 18 = 4*j, 0 = 4*o + 5*j - 729 + 739. Which is the third biggest value? (a) o (b) -164 (c) -2\/15 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 293.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238400 and 750.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - -95. Suppose -l*w = -w - 600. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - (sqrt(104) + 4*sqrt(104))*5) + sqrt(104)*-1*-4)\/(-2*-6*2*sqrt(1152)))**2 + 2.\nAnswer: 10693\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12284, 12733, 13482, 14531?\n\"Answer: 150*f**2 - f + 12135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(2 + sqrt(300))**2 - sqrt(15)\/((sqrt(20)\/sqrt(4) - sqrt(5))*-5 - sqrt(5))).\nAnswer: -6080 - 805*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 2*p**2 + 6*p**2 + (p + 2*p - p)*(-p + 0 + 0) + (-3*p - 3 + 3)*(-8*p + 11 - 11) as w*p**2 + t + a*p and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 654\/17 (b) -121 (c) 0.2 (d) 0.5 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3 + 8*y**2 - 3*y + 27. Let q(w) = -2*w**2 + 7. Give -a(d) + 4*q(d).\nAnswer: 5*d**3 - 16*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 998*t + 3792700.\nAnswer: -2*(t - 1649)*(t + 1150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/224 and 137\/84?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3401*n + 2721*n - 3875*n + 7603*n.\nAnswer: 9850*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -20*r**2. Let t(m) = -224911*m**2. Give t(g(f)).\nAnswer: -89964400*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 7*t**2 + 7*t - 2. Let d be h(6). Let n be 2 - (-1 - -3)\/(-2). Solve d*j + 15 = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 + 14*q + 23. Let g(k) = -k + 6. Let v be g(0). Let z(a) = -a**2 + 5*a + 8. Let p(s) = v*n(s) - 17*z(s). Factor p(w).\nAnswer: -(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-30))\/(3\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, c: 8}. Give prob of sequence ccac.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 - k + 1. Let c be w(1). Let z(t) = 5 + 0 + 6*t + c - 4. Let v be -5*2\/(0 + 2). Let f(n) = -n - 1. Calculate v*f(l) - z(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*-1*(0 + -1). Suppose -r*g = -g - 15. Suppose -2*w = -t + 3 + 3, 0 = -3*w - 9. Solve h + g*h = t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)\/(p\/((p*p**(4\/19))\/p))*(p**(16\/9)*p)**(-5))**(-2\/29) assuming p is positive.\nAnswer: p**(8440\/4959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*h + 120, -28*d = -26*d + 2*h - 34. Calculate the remainder when 47 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 35179 + 11111 = 0. Round o to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932895 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10b46 + 3?\nAnswer: 10b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 27*u + 10. Determine c(9).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -86 * -17\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 19 - 24 + 4988*f - 1609*f to c + s*f and give s.\nAnswer: 3379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27680995?\nAnswer: 5, 37, 149627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 33282?\nAnswer: 166410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/14)*t**(-2) assuming t is positive.\nAnswer: t**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24589 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 2*n + 3*n - n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3258, 902, -1456, -3816, -6178?\n\"Answer: -j**2 - 2353*j + 5612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 10*x - 16*x - 88 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896490 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 6:28 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 32 (b) -1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14744604 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28503, -56999, -85499, -114003?\nAnswer: -142511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/10882 and 53\/65292.\nAnswer: 65292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173479.\nAnswer: 283, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78196\/15 - -5210. What is the common denominator of j and -1*((-285)\/(-25) + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 2*v + 6. Let g(c) = c - 5. Let h(p) = -6*g(p) - 5*k(p). Find q such that h(q) = 0.\nAnswer: 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 5:20 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 66*f**2 - 9*f - 590. Let b be m(-66). Let j be (-2)\/(-5) - (-14)\/(-35). Sort j, b, 13, -2 in increasing order.\nAnswer: -2, j, b, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -25, -40, -53, -64, -73?\n\"Answer: s**2 - 20*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 - 16*l\/3 - 32\/3.\nAnswer: -2*(l + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-14)\/(v**(1\/7)*v*v)*v*v*v\/v**22*v*(v**(14\/11)\/v)\/v assuming v is positive.\nAnswer: v**(-2685\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276784 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7241, 28997, 65259, 116027, 181301, 261081?\nAnswer: 355367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:05 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggjgggjgggkggkgjgg. What is prob of picking 1 j and 3 g?\nAnswer: 143\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5930 by -2.\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/198283 and 47\/1982830.\nAnswer: 1982830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101011 (base 2) in base 13?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 + -150. Solve p*w + 3 + 12 = 5*m, 2*m = -2*w + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 706*u**3 - 353*u**3 - 445 - 355*u**3.\nAnswer: -2*u**3 - 475","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 247, 0, -7, 6 in decreasing order.\nAnswer: 247, 6, 0, -2, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*p + 40, -2*b = -6*b - 2*p + 52. Let l = -3 - -7. Solve -4*y - l*k = -2*y + 24, 4*y = 4*k + b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -8, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68279728 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(832))\/(sqrt(16)\/sqrt(16)) + 5)**2.\nAnswer: -480*sqrt(13) + 29977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Solve 20 = g*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3\/2 + 460053*t**2 + 1840203*t\/2 + 460050 = 0?\nAnswer: -306700, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1674 (base 13) to base 11.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*3\/(-9) + -5 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 9 = -16*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/1950*13*5*(-6)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41, 11, 63, 115, 167, 219?\n\"Answer: 52*o - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 23 - 3 - 7 - 11 - w. What is the units digit of f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -267, -265, -263?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(20) - sqrt(180)*-1.\nAnswer: 3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -1)*14\/(-21) - (1 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13. Suppose 0*j = -3*j - 45. Let g be j\/(-42)*26 + 2\/(-7). Solve -3*a + g = -i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 + 19*o + 6. What are the prime factors of s(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*h - m, 4*h + 0*m = -3*m + 3. List the prime factors of 6953\/51 - 1\/h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**4 + 3 - 3 - 6*f**4 - 2*f - 3 to the form t*f**4 + d*f**2 + v*f**3 + o + x*f and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29 + -0.19. Which is the biggest value? (a) -4 (b) v (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 2. Let k(g) = 16*g + 11. Let z(i) = -2*k(i) - 11*u(i). Let j(m) = -5 + 890*m**2 - 862*m**2 + 1 + 4. Calculate j(z(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 2 + (-690 - -694)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -3. Suppose 3*a + 64 = 295. Suppose -23 = -4*z + 5*j, a*z - 76*z - j - 5 = 0. Put n, z, -5, 3 in descending order.\nAnswer: 3, z, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -16*o. Let d(v) = -21*v**2 + 72*v**2 - 25*v**2 - 23*v**2. Give q(d(y)).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/1360 and -97\/10064.\nAnswer: 50320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12860 (base 12) in base 7?\nAnswer: -134046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 402 = 3*d - 3*o, d - 3*o - 96 = 0. Suppose l - 521 = -d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 12, 2, -3, 21.\nAnswer: -5, -3, 2, 5, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 831 by 127.\nAnswer: 831\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q - 19. What are the prime factors of n(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 1}. Give prob of picking 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 10*h + 8. Let d be i(8). Let w(k) = 12 - 7 + 3*k - 3. Suppose -4*j + 3 = -3*j. Let s(a) = a + 1. Give d*s(x) + j*w(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (12*(-1 + 0))\/((-8)\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 + 9*a**2 - 12*a**2)*(-10*a - 15*a - a) in the form n + x*a**3 + y*a**2 + v*a and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -30*m - 33 + 88. Solve -w = 2*n - m, -n + 8 = -w + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304940, 609997, 915052, 1220105, 1525156, 1830205?\nAnswer: 2135252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/28)\/(2*9\/(-126))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/7371 and 77\/387?\nAnswer: 316953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + 4 - 3*sqrt(13)*-4.\nAnswer: 4 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -884 + 1440. Is a\/(-6)*30\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451656 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u**2 - 13. Let k(f) = -4*f**2 - 6. Let x(w) = -6*b(w) + 13*k(w). Let y(a) = -12*a. Determine x(y(s)).\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15162310 + -11?\nAnswer: 15162277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/776385 and 8\/189.\nAnswer: 5434695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 67*b**3 + 34*b + 5. Let z(r) = -200*r**3 - 96*r - 14. Let i(d) = -17*n(d) - 6*z(d). What is i(-1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, u: 3}. What is prob of picking 3 b and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 563, -3, 0 in decreasing order.\nAnswer: 563, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**3 + 8*k**2 - 12*k + 63. Let c(h) = -15*h**3 + 16*h**2 - 23*h + 125. Let a(o) = 6*c(o) - 13*p(o). List the prime factors of a(11).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 4, x: 9}. Give prob of picking 1 j and 1 n.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 5. Let i be n(5). Let c be (14625\/81)\/25 + 8\/(-36). Solve -7*h + 28 + c = i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338 is divided by 286?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i. Let y(a) = -46*a - 3. What is k(y(h))?\nAnswer: 92*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, 1 r, and 1 y when four letters picked without replacement from rnrnpyyrprpppywp?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and 3687.\nAnswer: -117984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 121075185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -571034, -571218, -571524, -571952, -572502, -573174?\nAnswer: -573968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 27. Let p be j(-11). Calculate the remainder when 15 is divided by p\/(-10)*25\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 - (48 + -67) - -84.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4943 is divided by 935.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 233*v - 194. Give d(2).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1324*o + 1296 + 522*o - 3887 + 1297 + 1294.\nAnswer: 1846*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -308, -551, -794, -1037?\n\"Answer: -243*y - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -76, 837, -1, -5, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z. Suppose 4*c + 2 - 14 = z. Suppose 0 = -p - 3*b + 8, -p + 2*b = -2*b - 8. Solve 7 + p = -c*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((sqrt(1377) + -2*(-2*sqrt(1377) + sqrt(1377)) - sqrt(1377)) + sqrt(1377))**2 - sqrt(1377)))*-3*-4*-5.\nAnswer: -743880 + 540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1974, -3825, -5674, -7521, -9366?\nAnswer: -11209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j + 45. Let b be (-6)\/j + 46\/10. Solve 0*n + b*r + 3 = n, -4*n - 3*r = 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -2567*k**5\/30 - k**4\/24 - 1603*k**3\/2 + k**2 + 244*k + 2. Find the second derivative of p(t) wrt t.\nAnswer: -10268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 125 + 3?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (-20 + 2 - -6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**5\/20 + 5*h**4\/12 - 5*h**3\/2 - h**2 + 3*h + 11. Give c(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 35*t - 202. Calculate n(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -373, -372, -371, -370?\n\"Answer: n - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(1\/10)*m*m)*m\/m**13*((m*m\/(m**(-4)\/m))\/m*m)**(-11) assuming m is positive.\nAnswer: m**(-901\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117881910469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49359, -97610, -145861, -194112, -242363?\nAnswer: -290614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -3002, -0.204?\nAnswer: -3002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1928889.06 to the nearest 1000.\nAnswer: -1929000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)\/q*q)**(-26))**37*((q*q**(-1))\/q)**(-5)\/(((q\/(q*q**(-1)*q))\/q)\/q)**15 assuming q is positive.\nAnswer: q**516","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -269*p + 259*p + 140. What is the derivative of 26*l**3 + 113*l**3 + p*l**3 - 34 + 234 wrt l?\nAnswer: 459*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5948 + 145827.\nAnswer: 151775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8790107*j + 17580220. Calculate f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3039*u = -994*u - 609715 + 101557 for u.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (6 - 11) - (2 - -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 7. Suppose -y = -4*o - 6799998, -n*y + 2423400 = -o + 723410. Round o to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.2006 kilometers in meters?\nAnswer: 409200.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5853*l - 9910*l = 1623589 for l.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 648 - 650. Does c = -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100112 - 212220?\nAnswer: -312332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = 9*x - 57456. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) - (-3478)\/(-399). Let a = v - -241\/28. Let n = 1\/38 + a. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156 - -168. Suppose -3*i - 2*x - c = 0, 10 + 5 = 5*x. Are -33\/5 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1155 and 94\/15939.\nAnswer: 79695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**2 - 10*z + 13. Let w be t(4). Suppose -15*k + w = -64. Solve k = -5*h + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2*q**2 + 2*q**2)*(76 - 39 - 39).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 404, 1621, 3650, 6491?\n\"Answer: 406*m**2 - m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 plus -1691613769.5?\nAnswer: -1691613851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020004 to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548 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: How many minutes are there between 2:55 PM and 10:47 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 2.08. What is o rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*((((w**(2\/15)*w*w)\/w)\/w)\/w)\/w)**(-26)*(w\/((w\/(w\/((w\/w**(3\/5))\/w)))\/w)*w**(2\/5))**(-2) assuming w is positive.\nAnswer: w**(2588\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 10832 + 2*x**3 - 16*x**2 - 10832 as c*x + r*x**3 + i*x**2 + t and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1245525 (base 8) to base 10\nAnswer: 346965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222955*n + 543783*n - 46331*n - 1360335*n.\nAnswer: -2085838*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*h + 26 - 130 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-7) + -1 - (-16786)\/(-26705)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3187471 + -0.3.\nAnswer: -3187471.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -86\/3. Let l(i) = -i**3 + 8*i**2 + 3349*i - 57. Let k be l(62). Factor 0 + 0*p**3 - 1\/3*p + o*p**k - 2\/3*p**2 + 2\/3*p**4.\nAnswer: p*(p - 1)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3399931 and 4959?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42.85 - -43.85. What is the biggest value in -2\/11, q, 4.2, 1\/5?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*b**2 - 2*b**2 + 30*b**2 + 93*b**2.\nAnswer: 286*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -2212122101202020?\nAnswer: -2212122101202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2 + 6. Suppose 0 + 2 = -l*v. Suppose -10 = -6*s + 5*s + 4*m, 2*m = -4*s - 14. Sort -5, v, s in descending order.\nAnswer: v, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*t + 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/106193 and -97\/4124.\nAnswer: 424772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 + (28 - 31) - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5876, -0.06, -2\/7, -446?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 989, 2\/13, 4 in decreasing order.\nAnswer: 989, 5, 4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.242259 - 0.069181. What is z rounded to 2 dps?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3110, 12472, 28070, 49898, 77950, 112220, 152702?\n\"Answer: -v**3 + 3124*v**2 - 3*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(48)*-3)\/sqrt(8) + sqrt(12)\/sqrt(50))\/(sqrt(8)\/((sqrt(4) - (sqrt(4) + sqrt(4)*-3)) + sqrt(4)) - -3*sqrt(6)\/sqrt(3)).\nAnswer: -36*sqrt(3)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2 - 3 - 4 + 0 - 1660001*d. Let m be b(-5). What is m rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 70209*h - 421255. What is v(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*o + 2 = 0, 3*o + 5 = -5*h + 19. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44138011 less than 0.31264?\nAnswer: -44138010.68736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*a = -6*a - 52467, 31497 = 3*k + 3*a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2390\nAnswer: 3\/2390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -278 - 6?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 275 = -43. Let z = w - -210. Does 10 divide z\/10 + 12\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.4*0.85.\nAnswer: -7.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*16\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/32 and 71\/18748224.\nAnswer: 18748224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066419?\nAnswer: 3, 127, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 9*t = 0. Is 317\/2*(2 + t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-14)*843\/843*-1*5\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3355, 27147, 91773, 217651, 425199?\n\"Answer: 3403*o**3 - o**2 - 26*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -84 and -180120.422584.\nAnswer: -180204.422584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -29*p - 4, -8*p = -10*p + 5*x - 5. Let r = -8 - -15. Suppose 0 = -5*k - u + 25, 25 = r*k - 2*k - 2*u. Solve p - k = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68168 is divided by 13632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5))*3 + 2*1*sqrt(5).\nAnswer: -3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 0*b - 24 = 0. Suppose -z + 47 - 13 = 0. Calculate the lowest common multiple of b and z.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -988650, -988645, -988640?\n\"Answer: 5*u - 988655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 14*j**2 - 4 + 5 + 0*j as f*j + l + z*j**2 and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 2*p**5\/5 - p**4 + 17*p - 117. What is the first derivative of d(m) wrt m?\nAnswer: 8*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13823892 divided by 36.\nAnswer: -383997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 - 2*q + 246. Let r be b(13). Calculate the highest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 74593*m**2 + 38*m - 140. Let z be j(4). What is z rounded to the nearest ten thousand?\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 0, -1, 2 in ascending order.\nAnswer: -12, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 259982017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of (-6)\/27 + 512371\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12003 + 120?\nAnswer: -11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, -0.6, -545, 67.\nAnswer: -545, -0.6, -0.4, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**3 - d**2 - 2*d - 1. Let o be t(-1). Calculate the least common multiple of 16 and 8\/28 - (-40)\/o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2946, -5974, -8988, -11982, -14950, -17886?\n\"Answer: s**3 + s**2 - 3038*s + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*q + 2090 + 7686 - 1429 = -6587 for q.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(91)*-4)\/(sqrt(252)*5).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 16*m. What is k(-4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1005 and -0.2.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 19 = 2*a, -2 = 5*q - 4*a - 7. What is the common denominator of 77*q*5\/(-270) and -61\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 70, 24 = 3*n - d + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 4*x + x - 2*x - 1 + 1 + (-2 - 1 + 2)*(-2*x - x + 4*x) + (17 + 7 + 3)*(-2*x + 7*x - 3*x) - 7 + x - 2 + 7.\nAnswer: 53*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Suppose -6*q + 3*t + 45 = -3*q, g = -3*q + t + 41. Suppose -2*a = 916 - 924. What is the remainder when q is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(5\/4)*v)\/(v*v*v**(-1\/4)*v)*v\/((v**(1\/2)*v)\/v*v)*v**(-6\/7) assuming v is positive.\nAnswer: v**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.6 - 21. Let o = 294317\/35 + -8409. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104538\/105 + (-8)\/(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-237503)\/(-292590) - (-4)\/(-20). Let q = 2\/3251 - g. Calculate the common denominator of 41\/22 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 625, 1\/4, -3\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let v = -1 - u. Let q = -1432.7 + 1438.7. Which is the nearest to 0.3? (a) q (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163527352 divided by -3988472\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Suppose k*q - 5*p - 116 = -q, -5*q = 2*p - 145. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c + 2*u - u, 0 = c + 3*u. What is the nearest to 0 in 5, c, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 16. Suppose 4*u + 4 = i. Suppose 0 = u*p - 7*p + 5. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 6979, 1, 0.3?\nAnswer: 6979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -336 divided by 77543\nAnswer: -336\/77543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15452 - 15452. Let t(a) = -7*a**3 - a**2 - 7*a + 5. Let l(c) = -c**3 - c + 1. Let s(n) = 6*l(n) - t(n). Calculate s(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 - 0.1. Let f = -8 - -15. Let x = f + w. Which is the smallest value? (a) -3\/7 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -14 (b) 0.057 (c) 5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from hlhllllll?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -13 - 23. Suppose -2*l + 127 = -a*h, 0 = 9*h - 12*h - l - 121. Sort -1, h, -4, 1 in decreasing order.\nAnswer: 1, -1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krki when four letters picked without replacement from rulkkuilkl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, 2\/15, -2\/353?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 146921124 to the power of 1\/2, to the nearest integer?\nAnswer: 12121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 9) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17363116*a*o*t**2*v**3 + 102*a*t**2*v**2 - 2*a + 4*t**2*v**3 - 147*v**3 - 2 wrt o.\nAnswer: -17363116*a*t**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 take away -79036?\nAnswer: 79035.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10062735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2. Let o(a) = 7*a - 2. Let g(f) = 6248*f - 1704. Let y(t) = g(t) - 852*o(t). Determine v(y(w)).\nAnswer: 322624*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*v + 7*v. Let w(u) = -u**3 - 7*u**2 + 6*u - 17. Let z be w(-8). Let r be z + v - (-3 - 0). Solve -2*q - 4*o + 3 = -5, r*o = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*0*(720\/64)\/(-45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -8.2?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37801.84l?\nAnswer: 37801840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/((-2574)\/520))\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-2 + 3 + 3). Let v(p) = -8*p**2 + 5. Let d(x) = -4*x**2 + 3. Let h(y) = q*v(y) + 5*d(y). What is the first derivative of h(s) wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 145. Let x = 30 - i. Let k(f) = -x - f + 1. Calculate k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 690*w. Let q(u) = 23246*u + 1. Calculate r(q(i)).\nAnswer: 16039740*i + 690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*u - 8, 0*b = -5*u + 3*b + 21. What is the second derivative of 9*c**u + 6*c**3 + 2*c + 3*c**3 + 3*c wrt c?\nAnswer: 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 (base 9) in base 2?\nAnswer: 110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 + 230*j**2 + 1376*j + 93017. What is y(-76)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 163, -0.2, 0, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + g**3)*(-4*g + 4*g - g) - 4 + 4 - 2*g**4 + 7*g**3 - 3 + 2*g**4 - 38*g**3 - 11*g**3.\nAnswer: -g**4 - 42*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 8)*(0 - 1 - 6)*(5 - 14038*b**4 + 14020*b**4 + 0) in the form f*b**4 + p + o*b**2 + m*b + d*b**3 and give p.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*y + 10*y**3 - 22*y)*(8 - 13 + 9) + y**3 + 0*y**3 + 0*y**3 to the form x*y**3 + o*y**2 + n + b*y and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 8 = 4*p. Solve 3*b - p + 19 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4865 (b) 60 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 119. Suppose 312 = 5*l + y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -20*u - 10. What is q(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 139044520 divided by 751592\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 2*v - 3 + 2 + 7*v - 2.\nAnswer: 8*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {o: 3, h: 6, m: 3, x: 1, u: 5, j: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, 4, -0.31, 3, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1700) + (sqrt(1700) + -1)*6)**2*6*-1 + (sqrt(1700)*-1 + -4 + 1*(1 + sqrt(1700)) + sqrt(1700))**2*6.\nAnswer: -489763 + 4680*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + 68\/12)*15. Which is the closest to -2\/7? (a) 0.4 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56446, 3, 0, -1996, -1\/6 in decreasing order.\nAnswer: 56446, 3, 0, -1\/6, -1996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -212, -952, -2160, -3860, -6076, -8832?\n\"Answer: -4*f**3 - 210*f**2 - 82*f + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8512 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7432012 is divided by 371596?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 4) to base 15.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202012331112 (base 4) to base 14.\nAnswer: 128a754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104123 - 341013?\nAnswer: -445140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 490400 rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 63 = -27 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 696 = -3*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 283, 962, 2091, 3670, 5699?\n\"Answer: 225*y**2 + 4*y + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 55996024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 174 - 6\/12*-2. Calculate the greatest common divisor of j and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*u + 90 - 24. Let d = 0.4 - 0.2. Which is the closest to u? (a) -0.5 (b) 6\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 11*u**5\/20 + 8*u**2 + 2*u + 8. Let z(j) be the first derivative of c(j). What is the derivative of z(h) wrt h?\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215723 is divided by 543?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186 + 3?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoqqqqqqqqoqqo. Give prob of sequence qo.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1013 + 101 = -38*y. Solve y*f = 2*f - 22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 22838 = -3*s, -h + 2*s + 34283 = 2*h. Suppose 8*d + h = 33*d. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -124\/2047 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13211224.74 milliseconds to weeks.\nAnswer: 0.02184395625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.8 and 88485?\nAnswer: 424728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 261592987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118\/5 + 231\/10. Let o = -2.139 - -0.039. Let q = o + 0.1. What is the closest to q in 1\/12, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvdggvvgwdvr. What is prob of sequence vd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516395.4ml to litres.\nAnswer: 516.3954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imeo when four letters picked without replacement from {m: 1, o: 2, e: 5, f: 1, i: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/78909188?\nAnswer: -1\/78909188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 24\/5*v + 12\/5*v**3 + 44\/5*v**2.\nAnswer: 4*v*(v + 3)*(3*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.044 + -0.796. Let w = 358 + -359.44. Let p = q - w. Which is the closest to 2\/3? (a) 1 (b) -0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 34*f**2 + 12*f - 84. Let n be b(34). Suppose -28*j = -27*j - n. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 906263, 1812521, 2718779, 3625037, 4531295?\nAnswer: 5437553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - -32 - -46 - 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - x - 3*o + 1 = 0, -2*x + 3*o = -13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17845 + 17849. What is the smallest value in -1\/164, 0.3, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24226 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 25*l**2 + l - 11. Is f(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 73*j - 4453. Let f be c(61). Solve -2*r + 4*v + 20 = f, 0 = 3*r + 2*v + 13 - 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4790300 rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. Suppose 3*i - i = -2*s + 4, -5*s - i - 2 = 0. Put s, 5, q in descending order.\nAnswer: 5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9))**(-16) assuming g is positive.\nAnswer: g**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:02 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23170 is divided by 7202.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 14) to base 11\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(1*sqrt(28)\/sqrt(4)))\/((sqrt(9) + -2*sqrt(9) + sqrt(9) + sqrt(9))*-4 + sqrt(9) + sqrt(63)\/sqrt(63)))**2.\nAnswer: 9\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/560*-456*(-325)\/37050\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8256524 rounded to 3 decimal places?\nAnswer: 8.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 2134832?\nAnswer: 4269664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s*s*s**14*s)\/(s**(-3)*s*s**(-1\/4)) assuming s is positive.\nAnswer: s**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -3\/4 (c) -29 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 - 6) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 - h + 1. Let w be p(1). Suppose w = -j + 7 - 4. Let l = 4 + j. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 50*r**4 - 195*r**3 - 2570*r**2 - 4755*r - 450 = 0.\nAnswer: -3, -1\/10, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -26 - 2*n**2 + 5*n**2 - 11*n - 4*n**2. Let y be l(-8). Put 0, 5, y in decreasing order.\nAnswer: 5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 271.025, -1\/8 in descending order.\nAnswer: 271.025, -1\/8, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 - -0.53. Put 1, w, -0.5, -0.3 in ascending order.\nAnswer: -0.5, -0.3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4455437, -8910874, -13366311, -17821748?\nAnswer: -22277185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/((1\/(1 - 3))\/(190\/342)) and 13\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/6 - (-1 + (-25)\/(-30)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31763, 63533, 95303, 127073?\nAnswer: 158843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/7 + 1346*q**3\/7 - 6*q**2\/7 - 4034*q\/7 + 2692\/7 = 0. Calculate q.\nAnswer: -673, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, d: 1, w: 2, m: 4}. What is prob of sequence wdmw?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38716, -77422, -116110, -154786, -193456?\n\"Answer: -j**3 + 15*j**2 - 38744*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.243 + -0.043. Which is the nearest to -1? (a) o (b) -0.2 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 9:24 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 65.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36463, 36477, 36505, 36553, 36627, 36733?\n\"Answer: v**3 + v**2 + 4*v + 36457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28498, 57010, 85522, 114034?\nAnswer: 142546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1123\nAnswer: -3369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -3\/14*m**7 + 0 + 0*m**4 + 0*m**6 + 0*m**3 + 0*m + 13\/20*m**5 - 18*m**2. Find the third derivative of p(d) wrt d.\nAnswer: -1080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*b - 96, m + 3*b = -3*m + 93. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15122\/27 and 560 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6120 = -2*a + 5*x - 6162, -3*a - 5*x + 37 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*v + 164*v + 16800 = 0 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 48?\nAnswer: -47.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35448306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Let p be 7 - 7 - -1*z. Let q(k) = -k**2 + 1. Let o be q(0). Is p greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 11*o**2 - 7*o - 2. What is k(-10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93 - 1) + 74 - (0 + -27).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 294 - -aa413?\nAnswer: aa6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/35 (b) 0.4 (c) 0.5 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 996 = -250. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + -3 - (-4 + 20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-18))**27*((r*r**(4\/15)\/r)\/r)**(2\/13))**13 assuming r is positive.\nAnswer: r**(-94792\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*b + 13 = 0, 0*x - 2*b + 11 = -3*x. Suppose -5*v + 8*f = 4*f + 18, 0 = -4*v + 3*f - 14. Put x, v, 1 in increasing order.\nAnswer: v, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g + 81*g - 1404 - 18*g - 32*g.\nAnswer: -4*g - 1404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 22732805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 + 3*z. Let f be u(4). Suppose -361 = 6*h - 901. Calculate the greatest common divisor of h and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 20 - 26 - 4*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287802801 to the power of 1\/3, to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1085*v - 551*v + 171 = 553*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 84\/(3\/1) - 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 650107143194 and -2.42?\nAnswer: 650107143196.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5007207481 to the nearest integer?\nAnswer: 70762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11654, -22529, -33402, -44273?\nAnswer: -55142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2348 - 322*i**2 - 256*i**2 + 192*i**2 + 2348.\nAnswer: -386*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0110748km?\nAnswer: 1107.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**7\/2520 + 13*o**6\/720 + o**5\/8 - o**4\/24 + 7*o**3\/3 - 77*o**2. Let c(u) be the second derivative of x(u). Give c(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2\/4 + 15395*t\/4 - 2210825 = 0. What is t?\nAnswer: 764, 2315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164967, 164688, 164223, 163572, 162735?\nAnswer: 161712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**3 - 34*f**2 - 5*f - 58. Let a(p) = -2*p**3 + 17*p**2 + 3*p + 30. Let x(t) = -7*a(t) - 3*l(t). List the prime factors of x(-18).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 10. Suppose 71 - 46 = 5*c. Suppose 3*m + c*t + 9 = 0, 0 = 2*t - 6*t - 12. Let q be d(m). Sort q, -3, -1, -5 in ascending order.\nAnswer: -5, q, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(4 + 4 + 0)*(4 + 2 - 7)*(2 - 2 + 2)*(0*j + 2*j**4 + 0*j).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379716947 is divided by 1222?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3498)\/66 - (-19 + -5).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/6768 and 53\/68.\nAnswer: 115056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 224188 take away 6.711?\nAnswer: 224181.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0 - 1\/36*w**4 - 2\/3*w**2 - 2\/9*w**3 + 3*w. Factor q(x).\nAnswer: -(x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = 2*q, 3*v - 5*v - 8 = 0. Suppose 75 = 5*m + h, -4*h - 45 = -q*m - 3*h. What is the remainder when 56 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) -3\/2 (c) -4 (d) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + x - x)*((7 - 3 - 2)*(-3*x + 7*x + 0*x) - 2*x - 3 + 3) to k*x**3 + a + i*x**2 + w*x and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39720 is divided by 2331.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (10 - 4) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, u: 15}. Give prob of picking 1 n and 1 u.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 321 in 6, 0.5, 2.6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 29*d**2 + 3*d + 206. Calculate the smallest common multiple of (42 - -5) + (-3)\/((-3)\/2) and x(-29).\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276125 is divided by 92040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 - v + 157. Let s be m(0). Let l be (404\/(-1010))\/(2\/(-260)). Let t = s + l. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -79, -97, -121, -145, -163, -169?\n\"Answer: j**3 - 9*j**2 + 2*j - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 2\/3, 1, 1017508, -2, 3 in descending order.\nAnswer: 1017508, 3, 1, 2\/3, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-75)\/100 + (646\/8)\/1. Suppose -2*v + 0*v - 98 = 0. Let c = v + b. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:59 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(1\/22))*n**(-3\/7))**(-1\/11)*((n**(-4)\/n)**(16\/11))**(5\/3) assuming n is positive.\nAnswer: n**(-61381\/5082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 3)*(3*y - y + 0*y) + (4 + y - 4)*(-1 + 2 + 0) to the form z*y + c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2350320 bigger than -2350321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*v**2 + 2 + 454*v**2 - 2 - 12*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - 42b281?\nAnswer: -42b269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/40 + 2*n**4 + 255*n**3\/4 - 6*n**2 + 9*n - 4. Factor p(u).\nAnswer: 3*(u + 15)*(u + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (31 + -36 + (3 - 1)) - -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6)*27\/((-2268)\/(-24)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 46*x**2 - 86*x - 94. Give b(44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -536265.570236 + 536263. Let b = m - -2.57. Round b to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = -3*r, -154*o = -2*r - 152*o + 14. Solve r*j + 9 = -5*i - 11, 3*i - j + 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304) + -1*sqrt(304)*2))**2 - ((sqrt(133) + sqrt(133)*-2*3 - sqrt(133)) + sqrt(133))\/sqrt(7).\nAnswer: 5*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270*m**3 + 2*m + 354?\nAnswer: 1620*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 152\/192 - 3\/24. Factor c*b**2 + 2\/3*b**3 + 0*b + 0.\nAnswer: 2*b**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n + 6. Let i(v) = -4*v - 5. Let l(s) = -6*i(s) - 5*x(s). Let a be 8\/(-6)*6\/(-4). Let h(z) = 5*z**a - z**2 - 6*z**2. What is h(l(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5*q - 70. Solve 4*x = -q + 22 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -91 + 27 - -111.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362158180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 10*m**3 - m**2 - 2*m - 1. Let i be r(-1). Let k = i - -15. Factor 0*j + 3*j**2 - k*j**2 - 2*j.\nAnswer: -2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 8. Let c be z(-5). Suppose 0 = -c*g + 12, 4*r + 2*g - 107 = 1. Let d = r + -20. Solve i + 13 = -3*b, -d = 3*i + b + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 51*j**2 + 5)*(4*j - 4*j + j)*(j + 0*j + 2*j).\nAnswer: -153*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 14*v**2 + 31*v - 5. What is l(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/114 + 11*z**3\/57 + 18*z**2\/19 - 185*z - 2. What is a in d(a) = 0?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1074558.13 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qerererqerrqeqe. What is prob of sequence qer?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-145)\/(-25) - 2\/(-10). Suppose -w*s + s = -30. What is the third derivative of -3*z**2 + 4*z**2 + 3*z**4 - s*z**2 wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, -4, 2, 17, 5, 9 in decreasing order.\nAnswer: 19, 17, 9, 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11747420, 2 in ascending order.\nAnswer: -11747420, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(2*(sqrt(5) - sqrt(10)\/sqrt(2)))**2 - (sqrt(500) + -5 + (sqrt(500) + 0)**2 + sqrt(500))).\nAnswer: 60*sqrt(5) + 1485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -221.4? (a) 25 (b) 0.5 (c) -98\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 393*g + 5. Is 22 a factor of l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375 is divided by 789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0811 - -0.1?\nAnswer: 0.1811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*-12*-1*2\/6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357 divided by 3.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1681, -4245, -11191, -24709, -46989?\nAnswer: -80221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 5*t**2 + t + 0 + 3 + t**3. Let r(g) = g**2 - 10*g + 26. What is the remainder when m(-5) is divided by r(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13.21906 milligrams?\nAnswer: 13219.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -145, -10, 3 in increasing order.\nAnswer: -145, -10, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 8834?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 + 28940*w**2 + 231155*w - 260100 = 0. Calculate w.\nAnswer: -5780, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -2*q. Let h(z) be the second derivative of z**4\/12 - z**3\/2 - z**2\/2 - 9*z - 5. What is the tens digit of h(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z + 27. Let f(c) = -14*c - 3676. Let r(u) = -f(u) + 4*v(u). Let i(g) = -3*g. Calculate r(i(a)).\nAnswer: 6*a + 3784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*u + 192305 - 192473 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times 0.2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -5, 8\/93, 4.3, 3.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z + 928980 - 926020 = 0 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3175 + -1786. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-44) - (36\/33 + -5). Solve q = -26*x + 25*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a - b385?\nAnswer: -b39f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (167 - 171)*(-3)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 538*k**3\/3 - 15*k**2\/2 + 19*k. Let l be t(3). Factor 28*s**3 + l - 3213 + 36*s**2 + 8*s.\nAnswer: 4*s*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193773586.\nAnswer: 2, 179, 541267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 567*l**3 + 0 + 0.\nAnswer: -567*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2 + 0)*4. Let f(q) = -4*q + q + c*q. Let x(g) be the second derivative of g**4\/12 + 2*g. Determine f(x(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -154.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.0743 (b) 2\/9 (c) 7 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 33471?\nAnswer: -80\/33471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11.87 + -38.0014\nAnswer: -26.1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8721 is divided by 231.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 5)*(-30*t**3 + 3 + 31*t**3 - 2).\nAnswer: -8*t**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 61 = -t - m, -2*m + 268 = 4*t. Suppose 5 = -3*w + t. What is the greatest common factor of w and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1392 and 5974?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -3*t. Let u = 69 - 68.18. Let a = 0.18 + u. Are a and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*v - 2347 - 643, 5*p + v - 2978 = 0. Suppose 8*y - 10661 = p. Suppose y = 3*t - 0*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8678 is divided by 2159.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 79*p + 1819. Let j be b(-23). Put 75, j, 3, 16 in increasing order.\nAnswer: j, 3, 16, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by 8361.\nAnswer: 127\/8361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 542683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*j + 4, -2*j + 3*s = -3518 + 3517 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576 divided by -23219.\nAnswer: -576\/23219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 840 = 21*g - 10*g. What is the greatest common factor of 8127 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -2.838861?\nAnswer: 1.4194305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 149*b - 3815. Determine f(33).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 50020*n + 17357*n - 1.\nAnswer: -32663*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/15))**(-17) assuming p is positive.\nAnswer: p**(-221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:02 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -378. What are the prime factors of o?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -42. Let z = r - 29. Let s = z + -8. Solve 5*n + 19 = h, -s*h + 5*n - 13 + 44 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 3 (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10037, -3, 3, 1, -13\/2 in increasing order.\nAnswer: -10037, -13\/2, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 9:40 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-6) + 26\/39. Solve 5*x - 20 = a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 m, and 1 s when four letters picked without replacement from sccmmcqccccccscccqc.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2740, 11701, 26636, 47545, 74428, 107285?\nAnswer: 146116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39058?\nAnswer: 2, 59, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*y = -4*i + 17229, -5*y - 34406 = -2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11 + 14*s**2 - 16*s**3 - 2*s**3 - s - 2*s**2 + 21*s. Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsq when three letters picked without replacement from {s: 2, r: 1, l: 5, q: 1, n: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x + 48. Suppose -s - o + 4 = 0, -4*s + 3*s = 5*o - x. Suppose -b + 108 = s*b. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**7\/5040 + 53*f**5\/60 - 2*f**2 + 18. Let c(j) be the third derivative of m(j). Let q(n) = 606*n**2. Give c(q(z)).\nAnswer: 606*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052730 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31647742*l**3 + 22*l**2 - 545533?\nAnswer: -189886452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 0*n**2 + 1\/5*n + 5 - 1\/15*n**3. Suppose w(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 2*s + 1850. Let g be m(0). Suppose 10*u - g = 5*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -23. Suppose 0 = 2*u - c*a - 36, 3*u - a - 37 = -u. Calculate the lowest common multiple of u and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6806871 + -6806883.000028. Let r = -12 - m. What is r rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.97129 + -88422?\nAnswer: -88508.97129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -3. Suppose k*w + 33 = 9*w. Let t = -19 + w. What is the highest common divisor of t and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 7*b**5\/60 + b**4\/4 + 2*b**3\/3 - 4*b**2 + 5. Let d(k) = 20*k**2 + 17*k + 11. What is -4*d(i) + 11*y(i)?\nAnswer: -3*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64944 - -53125.1. Let g = b + 11807.9438. Let c = g - -11. What is c rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, -1\/2, 2\/5, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 11*g**2 - 10*g**2 + 26*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**3\/3 + 9*c**2\/2 - 14*c - 4. Let l be q(6). Suppose -l*v + 9*v - 65 = 0. What is the greatest common factor of 104 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (6 - (-2 + (7 - 6))) - -1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*m + 3, 5*m + 23*t = -15*t + 33*t - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 65858566\nAnswer: -5\/65858566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3.4. Let d = -2.88 - -3. Let v = 0.02 - d. Which is the nearest to 0? (a) v (b) 3\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*19\/18 - 2\/9. Suppose 3*a - 3*p = h*a + 17, -4*a + 4*p + 12 = 0. Calculate the least common multiple of 8 and 6*((-6)\/(-36))\/(a\/(-148)).\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1216 and 2340952?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x. Let t(j) = 97*j. What is h(t(b))?\nAnswer: 1067*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18735 divided by -3747\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000318526 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 <= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 10*m = -45. What are the prime factors of 6\/m + 4134\/15?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111110 (base 2) to base 5\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 1034616?\nAnswer: -41384.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*z - 6 = 7, 5*z = k - 11. Solve 4*c - 2*j = 8, -2*c - 5*j - 19 = k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/5))**34)**36 assuming f is positive.\nAnswer: f**(-4896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 6:43 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 507780?\nAnswer: 1523340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*d - 20, 4*d + z + 0*z = -5. What are the prime factors of 32 - d - (5 - 2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -14. Let a = -6.6 + g. Let r = 0.4 - a. What is the nearest to 2 in -3, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f. Let o(w) = -w + 4. Let i(g) = -g + 5. Let t(j) = j**2 + 4*j - 1. Let a be t(-5). Let b(q) = a*i(q) - 5*o(q). What is b(x(d))?\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52\/5? (a) 3 (b) -0.06 (c) -150\/13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33846 is divided by 6610.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 46374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 25.414\nAnswer: 76.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041021305560249 take away 0.01?\nAnswer: 0.031021305560249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 114028, 111681, 107768, 102289, 95244, 86633, 76456?\n\"Answer: -783*v**2 + 2*v + 114809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1115710310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2856302, 5712614, 8568926, 11425238, 14281550, 17137862?\nAnswer: 19994174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1150 + -1954. Let s be (-1)\/3 - (-62584)\/(-78). Let o = s - z. What is the common denominator of -69\/4 and o?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -29*o + 78. Let b(y) = 35*y - 80. Let d(t) = 4*b(t) + 5*n(t). Calculate d(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 15, 0, -4.\nAnswer: -4, -1, 0, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = 21. Suppose -o - 2*o = -p. Suppose x + 16 = o*x. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 2627140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fvfpfpfvfvpvfffvp?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/((-15)\/7*7)*(18\/(-4))\/1?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 9. Let t = -8 - y. What is the units digit of ((-1)\/t)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 37 = b + 4*b, -b = 5*o + 15. Suppose -b*a + 841337 = -1846483. Suppose -a + 132564 = -3*x. What is x rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - q - 29 - 12 + 2*q**2 - 7.\nAnswer: 2*q**2 - q - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227036 is divided by 330?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 650.1957ms?\nAnswer: 650195.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p + 67 + 14*p**3 - 14*p - 67.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179352232 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 900*l**2 + 527*l + 2283. Differentiate w(o) with respect to o.\nAnswer: 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 1\/3, -2, 0 in increasing order.\nAnswer: -2, -0.06, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**2 + 396*x - 392*x - 61 + 61.\nAnswer: 14*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.7 - -4.8. Let k = 33 - t. Let q = k + -1.3. What is q rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, 24, 0.4, 24\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-346\nAnswer: 34.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 857622 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**3 - 3*p**2 + 2*p - p - 7*p**3. Let x be f(-5). Suppose -u + 3*q + 174 = u, 2*u - q - x = 0. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(36) + (2*sqrt(72) - sqrt(72))\/sqrt(2)))\/(sqrt(12) + sqrt(432)*1) - (2 + (sqrt(3)*2)**2 + sqrt(3) + (sqrt(3) - sqrt(75)*5)).\nAnswer: -14 + 160*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55003 - -20?\nAnswer: 55023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Suppose -8*y = -z*y - 132. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t. Suppose -c - 20 = -3*y, 0 = c + 3*c - 4*y + 40. Let w be 632\/1422 + 62\/(-18). Sort t, w, c in ascending order.\nAnswer: c, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -727935 - -727937. Solve 26\/3*y - 8*y**f - 3 + 2*y**3 + 1\/3*y**4 = 0 for y.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/580 and -71\/270280.\nAnswer: 270280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 118\/3. Let f be (-1)\/(-5) + 1\/(-5). Which is greater: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**5\/20 - 3*c**2\/2 - 4. Let w(u) be the second derivative of g(u). Factor w(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 + 267. Let r = 200 - c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-224)\/98)\/((-2)\/7). Let g be 1\/8 - 2 - 1\/s. Put -4, g, -3, -47 in increasing order.\nAnswer: -47, -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87.35 * -4130\nAnswer: 360755.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1069 by -17017.\nAnswer: -1069\/17017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3781302.6 * 42.\nAnswer: 158814709.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000227 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 40*d - 203. Let v(q) = -11*q + 51. Calculate -6*t(h) - 22*v(h).\nAnswer: 2*h + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (210\/63)\/((-8)\/3) + 257914\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3743.33 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*a - 5*k, 0*k = -k + 2. Let t(m) = -m**2 + m. Let j(d) = 8*d**2 - 5*d. Let p(b) = a*j(b) - 5*t(b). Find x, given that p(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let j(r) = -7556026*r. Give j(i(f)).\nAnswer: 7556026*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.331, 12\/17, 2\/67.\nAnswer: 2\/67, 0.331, 12\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/9 - 32*w\/9 + 41.\nAnswer: -(w - 9)*(w + 41)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3818 + 813945.07914.\nAnswer: 817763.07914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 41*l + 29 - l**3 - 22*l - 21*l + 14*l**2. Let z be v(14). Sort 2\/5, -3, z, -1.\nAnswer: -3, -1, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34384*n**3 - 34390*n**3 + 68768*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -32*c - 6. Let w be g(-6). Let t(n) = 30*n + 4. Let a be t(-4). Let h = w + a. Calculate the highest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47488 = -65*l + 9049 + 4238. Calculate the highest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(2 + (-12)\/9). Let v be 4\/x + 250\/3. Suppose -3*j + 28 = -v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260513.6 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13382 by -6691.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -83. Let f = 121 + h. What is the greatest common divisor of 34 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122 or -128?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7203 + -4085. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-425 - -454) + -57 + 9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.1. Let k = -55.01 + 55. Is u <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 24 = 18*x. Suppose -a + 3*u + 67 = 0, -u = -x*a + 7*a + 73. Solve -68 = 2*h - a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 117, 65, -11?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p + 34*p = 3*v - 4, -2*v - 3*p - 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1\/6)\/q*q*q*q))\/(q**(-3\/11)\/q*q) assuming q is positive.\nAnswer: q**(-103\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 131 in -1, 0, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**2 - v. Let g be t(1). Let c be 4 - g - 3\/(-3). Is (c + 0\/4)*-46 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 9. Let d = w - 60. Let i(r) = -r**2 + 10*r + 17. What is the tens digit of i(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 20*m**2 - 5226*m + 5227. Determine f(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15033.\nAnswer: 3, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*o + 13155*y - 13156*y, -2*y + 24 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -a59 (base 11) to base 13\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -0.9. Suppose -5 = 3*o - 5*y + 3*y, 5 = -2*o + 3*y. Let p be o\/((-9)\/2)*3. Which is the nearest to p? (a) 0 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25927 is divided by 363?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51101 and 548?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75878902087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -6, -4, -5.2, -1\/2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440706938.\nAnswer: 2, 7, 19, 1656793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-184.\nAnswer: -1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -24. Put k, 4, 25 in descending order.\nAnswer: 25, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 961 (base 11) to base 6\nAnswer: 5204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 968 + 968.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yry when three letters picked without replacement from xyryrexryryerrerex?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -43*d**2 - 105. Let y(w) = 2*w - 5*w + w. Calculate s(y(g)).\nAnswer: 172*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 7. Let c = -7 - -1. Let h be v(c). Let z be (0 - 0)*(1 - 0). Is h not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-15) + ((-368)\/(-240) - (-5)\/15). Let b(j) = -j + 3. Let t be b(0). Suppose t*c - 36 = y*c. What is the highest common divisor of c and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 333.8295097 and -32289.\nAnswer: -31955.1704903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 27766 = -3*o, -6*u - 27764 = -u + 2*o. Let w = 8152 + u. Round w to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -28*h - 1. Let w = -8 + 6. Let v(y) = 7*y. Let g(q) = w*f(q) - 9*v(q). Is g(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(5\/2) - 14. Let m = -10 - t. Suppose 0 = 2*j + 4*h - 8, 4*j + 5*h - 22 = -9. Solve 5*g - 2 - 3 = j*d, 4*g - 2 = m*d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwmyqymsyvmvmqsvvsmm. Give prob of sequence qvw.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71540*k = 71546*k + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 * -1842.66\nAnswer: 6265.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.58 (b) 30\/13 (c) 0 (d) 2\/3 (e) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.52539mg to grams.\nAnswer: 0.09852539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.950338 decades?\nAnswer: 234.04056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(6\/(-15) + (-84)\/1). Suppose -10*c - i = -1892. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 4:00 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 1320652*d\/7 - 377328.\nAnswer: -2*(d - 660324)*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -47. Suppose -224 = 8*o - k. Let i = -25 - o. Solve -2*s + 2 = -i*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o + t = 139, o = 5*t - 47. Let f = 58 + o. What is f rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045526287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 18*f + 4*f)*(6*f - 3*f - f)*(2*f + 0 - 2 + 3).\nAnswer: 84*f**3 + 42*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3477 - -3450. Suppose -66 = 2*m + m. Let c be 90\/f*(1 + m). Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -476 + 466. Which is the fourth smallest value? (a) 4 (b) n (c) 5\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 0.7, -1\/2, -3\/8, 1, -5, -2.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -1. Let o(t) = -31*t + 28. Let c(u) = 18*u - 16. Let p(v) = -7*c(v) - 4*o(v). Let s(r) = 2*r. Give d*s(f) - 3*p(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 2:36 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 8*q + 5*q**3 + 4*q + 0*q**3 - 3*q to l + i*q**3 + t*q + h*q**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -82*w + 158\/3*w**3 + 161 - w**2. What is the second derivative of i(m) wrt m?\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + sqrt(88)\/sqrt(8) + -5)*2 - 3*(sqrt(99) - (sqrt(99) - (-1*sqrt(99) + -1) - sqrt(99))**2).\nAnswer: 13*sqrt(11) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038700561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276603 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 23*q**2 - 407*q - 406*q + 812*q + (-3*q + q + q)*(3 + 2 - 2)*(-43*q + 15*q + 22*q) to the form d + o*q + l*q**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 724*i + 1464.\nAnswer: -4*(i - 2)*(i + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 727451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 31. Suppose k*t - 2 = 24. Suppose -t*i + 8*i = -70. What is the remainder when 53 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - 2\/1) + 19.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5\/7 + 288324*q**4\/7 - 10375665*q**3\/7 - 10663992*q**2\/7 = 0. Calculate q.\nAnswer: -1, 0, 37, 96072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 - 3.13. Let a(o) = o**3 - 20*o**2 + 37*o - 23. Let d be a(18). What is the biggest value in -12\/7, d, t?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9782 by 73.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*o - 359, -d + 151 = 2*o - 39. Suppose -j - 57 = 9*j - 77. What is the least common multiple of j and d?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -229*g**6\/15 + 14*g**4\/3 + 2*g + 56. What is the third derivative of a(v) wrt v?\nAnswer: -10992*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*z + 32*z + 35*z - 7 + 30*z + 33*z.\nAnswer: 3*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-234)*-455 + -70.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 232*y**2 + 1284*y + 1512.\nAnswer: -4*(y - 6)*(y + 1)*(y + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 1 + y + 1 - y**2 - y. Let t be 5\/3 - (1\/(-2))\/(51\/136). What is d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4628 + -4?\nAnswer: -4632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 671000 and 770.\nAnswer: 4697000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2602 + -2428. Calculate the remainder when j is divided by -2*1 + (21 - -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 21, -s + 108551*i - 55 = 108543*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525 by -75.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - -79. Let m = r - 113. Let i(k) = k + 20. Determine i(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 28, 53, 78?\n\"Answer: 25*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Let r be (0 - 1) + (a - 1). Let c(g) = 12*g**2 - 1. What are the prime factors of c(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 530 - 531. Let f = -0.09 + 6.09. Is c greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17901580.\nAnswer: 2, 5, 895079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*p - 107, -2*g - 29 = 2*p - 3*p. Let k = p - 44. Let v = 46 + k. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from {j: 14, l: 5}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653195 is divided by 1420?\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/m**(1\/5))*m))\/(m\/m**(-4\/3))*m**1\/(m\/m**1)*((m\/(m**(1\/6)\/m))\/m**1)**(-38) assuming m is positive.\nAnswer: m**(-166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 3*g - 3. Suppose -2*v - 16 = -10. Let f be u(v). Let o = f + 15. Solve -2*y + o*y - 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/10)\/(s*s**(-5)))\/(s**(3\/4))**42 assuming s is positive.\nAnswer: s**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64 + 0?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10156 (base 7) to base 8\nAnswer: 4673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**2 + 92*l**2 - 105*l**2. Let q(o) = -799*o**2. Calculate q(i(u)).\nAnswer: -12784*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:02 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - (-1 - -10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2. Let n(r) be the first derivative of 4 - 11\/12*r**4 + 0*r**3 - 9*r + 0*r**2. Let t(u) be the first derivative of n(u). Give b(t(p)).\nAnswer: -121*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 285*u**2 - 49*u**2 + 16 - 48*u**2 + 282*u**2 + 2.\nAnswer: 470*u**2 - u + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5869 + -4.023. Round u to 2 decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 4. Let n(w) = -537*w. Calculate q(n(x)).\nAnswer: -865107*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(42\/32))\/(424\/1484)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1713 in -2, -2\/13, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r**2 - r + 1. Let p be o(1). Let z be p\/14 + (-152)\/(-616). Which is the closest to -0.1? (a) 2 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12938*z - 51761. Calculate j(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70c - -5?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 14*l + 41. Let d(h) = 80*h**2 - h. Calculate d(j(t)).\nAnswer: 15680*t**2 + 91826*t + 134439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = 5*f + 2*j + 170, 3*j + 69 = f. Calculate the highest common factor of 2004 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**5 + 5*r**4 - 3571*r**3 - r**2 - 65843*r.\nAnswer: -120*r**2 + 120*r - 21426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -1\/21, 0.06, -6?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + r**2 + 5. Let y be w(0). What is the second derivative of i + i - 3*i + 2*i - 2*i**y wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/120 + 11*b**5\/60 + 3*b**4\/8 - 4*b**3\/3 - 2*b**2. Let x be g(-10). Solve 0 = -x*k - 3*r + 5, 5*k - r = r - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0212 * -0.3.\nAnswer: 0.00636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**4 + 4*l**2 + 4*l - 11. Let p be 180\/(-54)*(-12)\/10. Let z(c) = -c**4 - c**2 - c. Let y(d) = p*z(d) + s(d). What is the derivative of y(n) wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 2*w - 78, -479*a + 961*a - 485*a = -w + 45 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:07 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17785 by 5.\nAnswer: 3557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197265?\nAnswer: 3, 5, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-30)*-12*2340\/(-1296).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 4*c + 6*c)*(62*c**2 - 26*c**2 + 19*c**2).\nAnswer: -110*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {c: 1, h: 1, l: 1, o: 3, s: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 1276c37?\nAnswer: 1276c38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-35))\/(-3*2\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5262 - 5212.11. Round q to zero dps.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 2 w when four letters picked without replacement from wwvwcvccvcv.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - 3*k**2 + 2*k - 866*k**3 + 920*k**3 in the form a*k + q*k**3 + h + f*k**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 51594 = -3*a, 20442 = n + a + 3254. What is n rounded to the nearest 100?\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((6*6*(sqrt(162) + 1)*5)**2 - (3*6*1*sqrt(162)*5)**2).\nAnswer: -23814000 - 3499200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + y. Let o be -3 + (-12)\/3*-1. Let z(h) = -h**3 + h**2 + h. Calculate o*z(n) - w(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1960 and 16520.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.31 take away 0?\nAnswer: 32.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*u - 6*j - 8, -4*j + 4 = 0. Suppose -28*n = -22*n + 30. Let k = 10 + -11. Sort k, n, u in descending order.\nAnswer: u, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7))**47)**(-39)\/(j*j\/j**2*j*j**9)**(-9) assuming j is positive.\nAnswer: j**(4296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**3 - n - 1. Suppose 3*c + 0*c + 9 = 0. Is a(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 4. Suppose 3*w = 2*w. Let j be n(w). Is 4 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.206 + 101.794. Let z = p + -107. What is the closest to -1 in 10, -2\/13, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(8\/(-36)*-3). Let l be (10\/15)\/(2\/u). Let v = 3 - l. Solve -4*s - v = 5*y - 3, -2*y + 2 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192800 * -3\nAnswer: -578400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171908 = -50*m + 170708 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.18 + 0.18. Let j = 31 - 31.05. What is the smallest value in 1\/3, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/117923 and 3\/175630.\nAnswer: 8254610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:16 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(117) - sqrt(117)) + sqrt(117) - (sqrt(117) + 2 + 1 + sqrt(117) + sqrt(117)))**2.\nAnswer: 60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5171.686 meters?\nAnswer: 5171686000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*u - 12463 = 0, i + u - 4107 = 8354. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*o - 48*o - 4*o)*(2 + 3 - 4 + (-1 - 2 + 1)*(-1 + 2 + 1) + 0 + 1 + 0 + 1 - 7 + 2).\nAnswer: 486*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 531158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 7*o + 672. Suppose -4*g = 4*g + o. Does 9 divide (g + (-255)\/(-10))*1*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 80. Suppose -321 = -5*p + v, 4*v = -v + z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77.037 * 0.04\nAnswer: 3.08148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/27736?\nAnswer: -5\/27736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7301 rounded to two decimal places?\nAnswer: 2.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 3:36 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105707\/591 + -93\/197. Let t = s + 674\/3. Let i = t - 45. What is the closest to 1 in 2, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/2 - -1\/10. Let v = -1\/10 + q. Let w = -1 - -0.9. What is the closest to w in v, 2\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/289560 and 1\/1016?\nAnswer: 289560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -197, -44, 209, 586, 1111, 1808, 2701?\nAnswer: 3814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 9\/123268348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550 (base 7) to base 5.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2211 (base 3) to base 9\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 3*p - 111 - 72 - 74.\nAnswer: 3*p - 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3\/3 - 7*y**2\/2 - 4*y + 2. Let x be s(-7). Let l(p) = -p**3 - 3*p**2 + 4*p + 2. Let k be l(x). Solve t = k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-197 - -205) + (24 - (-14 - -1 - (72 - 77))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 552940208 * -0.1.\nAnswer: -55294020.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/273 and -7\/4?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 35 = 130. Let v = -63 - n. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b**2 + 11. Let i(z) = -3*z**2 - 5*z + 5. Let x(g) = g**2 + 3*g - 2. Let s(n) = 3*i(n) + 5*x(n). What is 3*l(f) - 7*s(f)?\nAnswer: f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1403 - -960. Let k = p + 1330\/3. Determine h, given that 0*h**2 + 0 - 1\/3*h**3 + k*h**4 + 0*h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24190 + 58033 - 3*a**2 + 55167 - 1533.\nAnswer: -3*a**2 + 87477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/5))**(-14)*(h*h**(-2))**(2\/53))**(17\/2) assuming h is positive.\nAnswer: h**(-37927\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i - 5. Let n(l) be the second derivative of 7*l**3\/6 - 2*l**2 - 1184*l. What is -5*m(k) + 4*n(k)?\nAnswer: -2*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745149*r = 745099*r - 57 + 389 + 168 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -52. Let y(w) = -4*w - 1. Let b be y(-1). What is the units digit of (b + 42\/(-9))*p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24615 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -0.543 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bubbubuuubuuubbwbbu. What is prob of picking 1 w and 1 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k = -31*k + 27*k - 1440 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from symsaawyaaabwyayy. Give prob of picking 1 a, 1 m, and 1 s.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2807316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(-20))**(-7) assuming c is positive.\nAnswer: c**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, -2, -32, 12 in descending order.\nAnswer: 12, 8, 4, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -1800\nAnswer: -17\/900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 + 11*q. Let y be o(5). Let i = y + 52. What is the remainder when 23 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b5 - a990?\nAnswer: -b185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -28.8. Let i = -51.5 - p. Let v = -35.699999807 - i. What is v rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**3\/y)\/y)**(1\/4))**(-3\/4)*(y\/(y*y**(-2)))**(-2\/65)\/(y*y\/y**(-8)*y\/(y\/((y\/(y*y*y**(-2\/19)*y*y))\/y)*y)) assuming y is positive.\nAnswer: y**(-105801\/19760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7238*c + 2*x - 14 = 7239*c, -455 = 58*c + 3*x for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 1103869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.81, 0.00253, -5?\nAnswer: 0.00253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 75 + 47. Calculate the remainder when 71 is divided by 69 + r\/(3 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmgfgmrmm. What is prob of picking 1 f, 1 m, and 2 g?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a + 10*a + 14*a**3 + 1 to j*a + y*a**3 + q*a**2 + l and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 3. Let z(o) = o**2 + o. What is the tens digit of z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*((-2)\/(-10) + -1). Let b = -7 - -4. Suppose 0 = -9*x - 200 + 191. Sort x, p, b in ascending order.\nAnswer: p, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1110 + -13211\/12. Let p = a - 25\/3. Let m = -4.5 - 0.5. Sort p, m, -3\/5 in decreasing order.\nAnswer: p, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.45 + 27.45. Which is the second smallest value? (a) -2\/21 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*x - 17777, -2*u - 10*x + 7094 = -6*x. Solve -28 = -3557*i + u*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 25368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19577 in 1, -5, 3, -0.2, -2.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -425*u**2 - 16*u - 2*u**3 + 431*u**2 + 6*u to m*u**3 + r + a*u + q*u**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/676 and 63\/40?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 take away -167.7302?\nAnswer: 234.7302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.3 - 13.2. What is the closest to 0.1 in v, 2\/11, 5, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/14)\/((-2)\/(-4)). Sort -11, c, -3 in increasing order.\nAnswer: -11, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/9)*n*n*n**(-1)*(n\/(n**1*n)*n)**(-14)*((n*n**(-1))**(-5))**(2\/27) assuming n is positive.\nAnswer: n**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3)*9\/10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -185. Let s = l + 167. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70835865?\nAnswer: 3, 5, 211, 22381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7)\/y)**2*(y**(-5)*y)\/((y**(-5\/3)\/y*y)\/y))**24 assuming y is positive.\nAnswer: y**(-656\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 89634 and -0.3?\nAnswer: 89634.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -629?\nAnswer: -4\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 13 + 9 = 0. Which is the third biggest value? (a) -2\/7 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8577 and 371.\nAnswer: -3182067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 172438589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -26. What is the third derivative of 69*d**w + 13*d**3 - 4*d**3 - 81*d**2 wrt d?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 91?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*n**2 + 146*n**2 - 75*n**2 - 25*n.\nAnswer: -5*n*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-16)\/6)*147\/(23667\/92)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00454871264 take away 0.5?\nAnswer: -0.50454871264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 2 d when four letters picked without replacement from duddz?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than 440676?\nAnswer: 440682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a microsecond in nanoseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 6*m**2 - 6*m - 2. Let s be f(7). Suppose 2*h - s - 1 = 0. Solve z = -h*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/((-2)\/304). Suppose m = 2*c + 648. Find the common denominator of c\/(-9) + 4\/6 and -11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -2)\/(-1 - 1). Let u(h) = -h**3 - 5*h**2 - 6*h - 1. Let v be u(-6). Suppose -5*w + v - 11 = o. What is the smallest common multiple of w and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.6 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 35.746785us?\nAnswer: 0.0000000004137359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 248\/620*(-30)\/96*2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 20 + 18 - 38. Let l(d) = -13*d**2. Calculate u(l(a)).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-8) + 10\/((-240)\/(-18)). Suppose -10 = -v*o - 0. Solve -o*p + 3 = -h - 3, -5*p + 2*h + 16 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -1223 + 229. Let s = c - -145. Solve 0 = s*l - 5*b - 20, 5*b + 20 + 0 = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 14*d**2 + 6. Let h be i(-14). Suppose 3*a + 5*x = 0, -32 = -h*a + 2*a + 4*x. Solve 2*t + 1 = a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 4:01 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/2 - 503235019*u**2\/2 + 63311371338600099*u\/2 - 63311370835365081\/2 = 0.\nAnswer: 1, 251617509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*t**3 + 479*t**3 - 558*t**3 + 513*t**3.\nAnswer: 892*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292146068 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytzyystyztttzssszt. Give prob of picking 1 s and 1 t.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:37 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -111 - 4 - (-69 - -46)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -17*f + 23*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57222 and 15642?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 25. Let t be 1 - 0 - (-7)\/1. What is the highest common divisor of t and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.368 - -0.068. Let j = b + 5.5. Let r = j - -5. What is the second smallest value in -0.1, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7050)\/(-90) - 65)\/(10\/18)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000179761829 rounded to six decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723684*t**3 + 723684*t**3 + 723683*t**3 - 2894738*t**3 + 723688*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (25 - 10) - (-3 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2232266 is divided by 72006.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1160 and 812?\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-16667)\/490 + (-9)\/(-630)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -19*k**2 + 8*k. Let j(x) = 6*x**2 - 3*x. Let i(v) = 3*g(v) + 8*j(v). Let u(a) = -80*a - 80*a + 159*a. What is u(i(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1 - 3 + 1 - v. Let y(n) = -2*n**2 + 28*n - 99. Let x be y(6). Calculate f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40568 and 8?\nAnswer: 40568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 15*v - 161. Let s be a(-7). Let p(g) = -8*g + 64. Calculate the least common multiple of p(s) and 2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 1. Let b = -5 + 0. Let l(i) = 7*i**2 + 5. Let j(g) = b*o(g) - l(g). Let n(w) = -3824925 + 3824925 - w. Determine j(n(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8464682*f**4 + 603*f**2 - 2*f + 3302?\nAnswer: 203152368*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96172 is divided by 95918.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2211349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtvztvtztt. Give prob of sequence vzzv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1876 = 3*s - 1894 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 377*r**2 + 24123*r - 4. Calculate t(-64).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Suppose -2*m + 4*u - 3811250 - 3628762 = 0, 2*m + 7440015 = d*u. What is m rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31179440 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1)*r*(r**(1\/2)*r)\/r*r*r*r\/(r\/(r\/r**2)*r)*r*r**7\/r*r assuming r is positive.\nAnswer: r**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 - ((-1 - 6) + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffuuuciccucfu. What is prob of picking 2 c, 1 u, and 1 i?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4 - -4)\/6)\/6. Let i(o) be the third derivative of 1\/12*o**4 + 1\/30*o**5 - 2\/3*o**3 + 0 + p*o - 8*o**2. Factor i(b).\nAnswer: 2*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) -28 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 6\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2\/17, 2, 0.02 in decreasing order.\nAnswer: 9, 2, 0.02, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 8. Let g be c + (1 - (-2 + -1)). What is the units digit of g\/1 - -1 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -1. Let r(t) = 4*t**2 - t. Is 7 a factor of r(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 26. Suppose 3*u - 4*u = a. Solve 0 = -r - u*r - 2*t - 3, -t = 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3\/5 + 3*n**2\/5 - 6*n\/5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 205.1?\nAnswer: 211.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -8 (c) -50\/1243 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/165 and 25\/769296.\nAnswer: 3846480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rruuzpttgtr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**3 + 3\/4*o**4 - 15\/2*o**2 + 9*o - 17. Suppose j(b) = 0. What is b?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/14 - 102\/(-84). What is the closest to -6 in 6, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*n - 23*n - 29*n as g*n + x and give g.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -1. Let b = g + 5. Let v(j) = -1. Let l(y) = -y. Calculate b*v(c) - l(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*56\/(-2)*((-98)\/56)\/(14\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6190 - 6205. Put 3, i, -4, -1, 5 in descending order.\nAnswer: 5, 3, -1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -207258 - -61?\nAnswer: -2071b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37820743 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129108 a multiple of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/83, 0.5, -3, 2, 0.3, -1.1 in descending order.\nAnswer: 2, 0.5, 0.3, 20\/83, -1.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -14*s - 15. Let n(y) = -15*y - 16. Let d = -24 + 19. Let c(l) = d*n(l) + 6*p(l). Differentiate c(v) with respect to v.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 0 + -2 - (sqrt(2736) - (sqrt(2736) + (sqrt(2736) + 2 - sqrt(2736)) + -1))) + -3)**2*-5 + 4.\nAnswer: -13756 + 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*j = 0, -2*v - 5*j = v. Suppose 0 = 57*k - 11*k - 276. Let n be -4 - (7 - k)*-6. Put -2, v, n, -12 in ascending order.\nAnswer: -12, -2, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34201 (base 6) to base 11\nAnswer: -3697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(1 + 0 + 1)*(610*k - 9*k**2 - 610*k) as l*k + j + g*k**2 and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 27*l**5 - 5*l**5 - 7*l**5 + (0 + 0 - 3*l)*(-l**4 + 0*l**4 + 3*l**4).\nAnswer: 9*l**5 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 14*y**2 - 10*y**2 - 2*y.\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*f = 420*f + 429*f - 74542 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 7*v - 5*v + 18, 2*v - 2*u - 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*v**5 - 3692*v**4 + 28848*v**3 - 75196*v**2 + 78536*v - 28512 = 0. What is v?\nAnswer: 1, 2, 4, 891\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(3\/(-81)) - -4. What is the units digit of 10\/((g - -7) + (-6)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8975 + -5013. Suppose 4*c - b = 2*p, 5*c + 5*p = 537 + 4423. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 50 (b) 0.5 (c) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - sqrt(84)\/sqrt(2))*3 + (sqrt(42) - (sqrt(168)*1)\/sqrt(4)))\/(sqrt(72)\/(sqrt(12) - sqrt(588))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 18. List the prime factors of (-4)\/6*363\/c*-6.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = o - 6*o. Suppose 3*t = -p + 171, -o*t + 3*p + 285 = -0*t. Calculate the remainder when t is divided by (14 - (-2 - -3)) + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 10 - -13) + -1 + 13. Suppose 6*q = -v*q + 34. Calculate the smallest common multiple of 4*11*1\/4 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 51, 2\/3, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10726.\nAnswer: 2, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4314343 is divided by 4314339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*5\/15*9. Suppose 30 = -7*k + 4*k. Let z be 24\/k*-2 - u. Is 1 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -10*y + 4 - y + y. Let o(m) = 3*m - 1. Let w = -173 + 175. Suppose -r - 3*d + 2 = -w*d, 5*d - 8 = -4*r. Calculate r*a(l) + 7*o(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 123774\/(5 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*g - s + 15, 5*s = 4*g + 7. Let u = 7716\/17 - 454. Which is the biggest value? (a) g (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 35. Let a(n) = 0 + 3 - 2*n + 3*n. Is a(w) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g - 3*f - 2, -2*f - 17 = -5*g. What is the first derivative of 4*h + 10*h**2 - 4*h - g + 7 wrt h?\nAnswer: 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23324815 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/64)\/(7226\/43356).\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1950*b**2 + 8004*b - 809. Calculate l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265 - 260. Suppose 0 = 2*f + 4*s - 16, 0 = -h*f - 5*s + 15 + 5. Solve r = -f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 17}. What is prob of picking 2 j?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 91014.16 millimeters?\nAnswer: 9101.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 69 - 44. Suppose l*k + o = 14, -6 + 0 = 3*k - 3*o. Which is the third biggest value? (a) 2.19 (b) -1\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -632085048 by -2.\nAnswer: 316042524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -49*p + 3. Let w(x) = 24*x - 2. Let m(y) = -3*j(y) - 5*w(y). Let s be m(1). What is the units digit of (-80)\/(-14) + 8\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.842996 + 11.\nAnswer: -15.842996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjae when four letters picked without replacement from {j: 2, a: 4, h: 1, v: 1, s: 2, e: 2}?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3828*h*z**4 + 263*h*z**2 - 1544641*h*z wrt z.\nAnswer: 45936*h*z**2 + 526*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = 0, 3*x - 2*r - 2*r = -28. What are the prime factors of x*1\/(-2) + 16?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64, 206, 514, 1072, 1964, 3274?\n\"Answer: 14*d**3 - d**2 + 47*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108618 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3 - 307*n**2 + 8485*n - 2 wrt n?\nAnswer: 12*n - 614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -12. Let h = -8 - p. Let j = h - -5. Is j <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 0 + 1)*(194 + 18*o + 181 - 367).\nAnswer: 972*o + 432","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -181 and -652.\nAnswer: 118012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g**2. Let n(a) = -8*a**2 + 3*a + 1. Let i(c) = 205*c**2 + 27*c + 9. Let w(x) = i(x) - 9*n(x). What is h(w(q))?\nAnswer: 920748*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2*g**4 + 282*f**2*g**3 - 898*f**2*g**2 wrt g.\nAnswer: 72*f**2*g + 1692*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -17. Suppose 4*y + 4*a = l, -a = -3*y - 5*a + 27. Suppose 5*b + 18 - 56 = -3*n, -16 = -3*b + y*n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -4230.92.\nAnswer: -4230.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-6)\/(-5) + (-198)\/15. Put v, -3, 0.4, 1\/4 in ascending order.\nAnswer: v, -3, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14400343300 (base 5) to base 16.\nAnswer: 1244036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/(-10) - (1647 - 1616).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1850176a2 + -3?\nAnswer: -1850176a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/3*51\/17. Let p be (-2)\/3*(-27)\/2. Differentiate 27 + b*x + p*x + 12*x - 8*x wrt x.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(320))**2 + -3.\nAnswer: -112*sqrt(5) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8552361949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 74*n + 28 = -684. Let i(u) = 32*u**2. Let p be i(-2). Calculate the greatest common divisor of n and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 28 = -0*a + 4*y, 3*y = 4*a - 10. Let v = 56 - 54. Suppose h - a*d - 11 = 26, -4*h + 220 = v*d. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*1)\/((84 + -100)*(-20)\/64). Which is the second biggest value? (a) w (b) 1.38 (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*93631\/(-12) - (-3 - (-11)\/4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v + 27. Let m be z(3). Suppose -m*j + 3*j = -n + 21, -n = -j - 7. Let g be (-2 - (-85)\/15)\/(1\/(-2)). Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12705*q = 12673*q - 704 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3551\/372918 + -3\/1366. Let r = l - 17\/39. What is the biggest value in r, -3\/20, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (158\/(-1461))\/((-10)\/185) + -2. Let j = t + 20443\/16071. Solve -8\/11 + 38\/11*o**2 - 16\/11*o - j*o**3 = 0 for o.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -957\/7 + 137. What is the second biggest value in -199, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.377062 kilograms to tonnes.\nAnswer: 0.004377062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -1, -8, 1.9478?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26799.784 rounded to the nearest one hundred?\nAnswer: 26800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29246 - 29073.265. Let h = d - 174.734965. Let q = 2 + h. What is q rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = 4*i, 2*i = -21 + 15. Let t(k) = 12*k + 95. Give t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 8*r**2 - 6*r - 9. Let o be g(7). Let c(s) = 4*s**2 + s + 3. Let j be c(o). Calculate the highest common divisor of j and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from halgaoofgao?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.63033 from -24751.418.\nAnswer: -24750.78767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 99. Let u be m(-12). Which is greater: u or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2903388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17530197 and 17530197?\nAnswer: 17530197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 + 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -4*b + 20, 7*b - h - 49 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -31. Let x(h) be the second derivative of 0 - 1\/75*h**6 - 1\/25*h**f + 2\/15*h**3 + 1\/5*h**2 + 0*h**4 - 2*h. Factor x(q).\nAnswer: -2*(q - 1)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 3 - g + 7\/4*g**4 + 1\/3*g**3 - 1\/2*g**2. Let u be 3\/12 + (-5)\/4. Determine n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + x + 0*x + (1 + 5 - 5)*(2*x - x + 0*x))*(134 + 305 - 133)*(2 - 2 - 2) in the form n + c*x and give c.\nAnswer: -2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(3*60))\/((-39)\/(-156)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y**2)*(488*y**2 - 270*y**2 + 257*y**2) - 3*y**4 - 6*y**4 + 3*y**4.\nAnswer: -956*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/3 + 446*q**2\/9 - 1366*q\/9 - 26650\/3 = 0. What is q?\nAnswer: -75, -13, 41\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 + 2*v. Let b(k) be the third derivative of -k**5\/60 - k**4\/24 - k**3\/6 - 161*k**2. Calculate b(s) + u(s).\nAnswer: -5*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16491, -63288, -141285, -250482, -390879?\nAnswer: -562476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*m - 228*m - 84 = -4*q, 3*m = 3*q - 66. Let n = 73 + 7. Calculate the highest common divisor of q and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - 11 - (-20 + -28 - -46).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**2 + 54*l + 44. Let v(z) = -5*z**2 - 55*z - 35. Calculate 5*v(a) + 4*x(a).\nAnswer: -a**2 - 59*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -354663 (base 8) to base 4\nAnswer: -131212303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 399197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 + (-122)\/(-10). Let m = -7 + u. Suppose 4*r - m = -2*q - 3, 5*r = -2*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-786\nAnswer: -78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.65*-0.19.\nAnswer: 0.5035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -4\/5 (b) 9 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49462170.\nAnswer: 2, 3, 5, 1648739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {q: 7, i: 8, s: 1, p: 2, g: 1, l: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543.9926cm in nanometers?\nAnswer: 5439926000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 294, 638, 1112?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-5*21\/((-105)\/22)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 10 = -18*m + 43. Suppose 3\/8*j**3 + 3\/8*j - 3\/4*j**m + 0 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, 2, -21, -4, 17, 5 in ascending order.\nAnswer: -21, -11, -4, -3, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -11 - -8) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 2*o - 1. Let c = 85 + -83. Suppose 5*q = -c + 12. Give b(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 0. Let i = 10 + -42. Let t = 31 + i. Which is the nearest to -0.2? (a) o (b) t (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, t: 7}. Give prob of picking 3 x.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 954, 0 in decreasing order.\nAnswer: 954, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -66. Let t be 2\/(-18)*-2 - 175\/(-63). Suppose 4*p = -3*b + 77, -t*p + 5*b + 70 = 2*p. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 - 71. Suppose -5*f - 17 = w, 3*w - 11 = 2*w + 2*f. Solve -h*k - 9 = -2*j - j, w*j = -k + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 3*t + 47, -84*t = -24*t + 59*t + 5*y + 704 + 347 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k + 13*k**2 - 19*k - 14*k**2)*((0*k + 2*k - 7*k)*(-6*k + 13 - 13) + (-k - 4*k + 3*k)*(3*k - 3*k + k) + 4*k**2 - 2*k**2 - k**2).\nAnswer: -29*k**4 - 116*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 + 4*s - 5. Let r be t(5). Let b = r - 44. Calculate the lowest common multiple of (1 - -2)\/(b\/(-12)) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 16\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjiiiiidn. Give prob of sequence dq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 864 and 276?\nAnswer: 19872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (-22 - (-33 - 12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*5 + (sqrt(171) - 3*((sqrt(171) - 1*sqrt(171)) + sqrt(171))))\/(-3*(sqrt(36) + sqrt(144))\/sqrt(4)*1).\nAnswer: 7*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + -35 + 248 + -66.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*d = -2*d + 304, 3*u - 3*d - 312 = 0. Let w = u - 80. Let h be 1 + (3 - -213 - -3). What is the greatest common divisor of w and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120391832 by 181313.\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.05 (b) -2\/35 (c) 75\/2 (d) -0.1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2. Let g be 0 - (-15)\/3 - 1. Suppose -g*j = -j - 12. Let p(l) = l - 4*l + j*l. Determine p(i(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -870 or -186025\/214?\nAnswer: -186025\/214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 73.9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*15*14*(64\/16)\/168?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a hour in minutes?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 155834\/8 + ((-91)\/(-28))\/(-13). Suppose -4984 + n = 13*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -13, -676, 3\/5, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/11 (b) -4 (c) -34 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 4*d + 1. Let s be j(4). Differentiate -3*n**3 + 4*n**3 + 2 - s wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)*q*q*q**(1\/10)\/q*(q\/(q\/(q\/q**3)*q*q))\/(q**(2\/7)\/q) assuming q is positive.\nAnswer: q**(-643\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115.4 + 539.6. Let y = k - 654.99998455. What is y rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2349*v - 28281 = 1516*v + 49019 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36.73588043111 - 55\nAnswer: -18.26411956889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5023138, -10046280, -15069422, -20092564?\n\"Answer: -5023142*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110 (base 3) to base 9.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 85981.\nAnswer: 85981.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.7. What is the closest to 0 in r, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.1 - 6.9. Let m = 1906.04944 - 1929.05. Let b = x - m. What is b rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 752\/9 - (-36)\/81. Let s be j\/(-175)*10*1\/(-4). Let -13\/5*o**3 - s*o**4 + 0 - 9\/5*o**2 - 2\/5*o = 0. What is o?\nAnswer: -1, -2\/3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 177 and 118?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9485 and 316680.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 73, 0.030235 in ascending order.\nAnswer: 0.030235, 0.1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/3 of a hour in minutes?\nAnswer: 1940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 28*v + 48. Let l(p) = 90*p + 146. Let s(y) = 16*f(y) - 5*l(y). What is s(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5453 (base 6) to base 8\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30775.\nAnswer: 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3517*d - 627 wrt d.\nAnswer: 3517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 177311*j + 6 - 7.\nAnswer: -177311*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10361 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i + 48 - 20 - 28 - 11*i. Let v(a) = -a. Give -2*c(l) + 22*v(l).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (1 - 18 - (-572 - -509))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w, -2*w - w + 206 = 4*h. Let j = 146 - h. What is the greatest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d**2 + 24. Let l be (-10)\/55 + (-2)\/(-11). Is 6 a factor of b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000210 - 320322000?\nAnswer: -321322210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44198, -177196, -398858, -709184?\nAnswer: -1108174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 13. Let b be d(11). Suppose -b*f - 11 + 1 = 0. Let n = f + 5. Solve 2*r - 18 + n = -4*p, 11 = -2*p + 3*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -18.4. Suppose -2*p - c + 4 = 0, -p - 2*c + 7 = c. Is p at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010011011111000 + 101100101?\nAnswer: 10000010100001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-275) + (-17)\/(-15)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 149*r**2 - 3*r + 2. Let z be j(-2). Which is greater: 603 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2 + 2*l**2 + 18*l - 5*l + 0*l - 4*l**2. Let x(g) = -g + 3. Let p = 4 + -10. Give p*i(f) + 26*x(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-42)*2\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1690 - 4.8343\nAnswer: -1694.8343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/8 of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/856352 and -61\/64.\nAnswer: 1712704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqxqqppxhqxx. Give prob of picking 3 x and 1 h.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -286, -319, -362, -415, -478, -551?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 29*k + 1070. Let p be c(-31). Calculate the highest common divisor of 1995 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -66*f - 578*f + 86 - 273. Is b(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13617\/11 + 1240. What is the common denominator of z and ((-14)\/(-28))\/(1\/(-3))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a86 + 1?\nAnswer: -a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 737867 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1701) - ((2*((1*sqrt(1701) - sqrt(1701)) + sqrt(1701)) - sqrt(1701)) + sqrt(1701)))\/((sqrt(140)\/sqrt(5))\/sqrt(4)*-2)*-6.\nAnswer: 162*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221283, 221117, 220951, 220785?\nAnswer: 220619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4, 0.4, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.75 - 0.7056. What is f rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (13 - -8 - 14 - 36)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-81) + 3\/(54\/230). Suppose 0 = 15*y - w - 2. Suppose 0 = 10*i - 12*i + 10. Which is the nearest to y? (a) -5\/3 (b) i (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*0.199.\nAnswer: -0.00796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from skkkkkkk.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/120 - l**5\/10 - 5*l**4\/24 + 11*l**3\/6 + 825*l**2. Determine o(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 120*t + 191. Let k(g) = 61*g + 95. Let a(m) = -2*i(m) + 5*k(m). List the prime factors of a(5).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0307*0.0413\nAnswer: -0.00126791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 8 = -14*r. Suppose -r*b = 3*b - 112. Suppose b - 20 = j. Let a(i) = -6*i**2 - 4. Let k(f) = -f**2. Calculate j*k(q) + a(q).\nAnswer: -2*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**2 + 19*q + 17. Let g(b) = -11*b**2 - 28*b - 26. Suppose -5*x + 10*a + 41 = 6*a, 2*x - 2*a = 18. Let d(h) = x*g(h) + 8*n(h). Calculate d(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -11. Let r be h\/(-12) + (-14)\/6. Is 13 a factor of (-4 - r) + 17 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let l = -57902199.99999925 - -57902192. Let g = -8.02 - -0.02. Let a = l - g. Round a to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.68 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 2, d: 1, y: 1, w: 1, p: 2}. What is prob of picking 1 d, 1 u, and 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z - 6. Suppose -3*m - 46 = 2. Suppose 15 = 5*w + o - 99, 49 = 2*w - 3*o. Calculate the remainder when q(m) is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d + 1. Let w(y) = 7*y - 1. Let t(l) = -6*i(l) - 5*w(l). Let v be t(3). Suppose v*o = o + 3. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/3, 2\/11, -8 in descending order.\nAnswer: 20\/3, 2\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.97687 + -0.85587. Round r to 0 dps.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60, 65, 70, 75, 80, 85?\n\"Answer: 5*a + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004645704 rounded to five decimal places?\nAnswer: -0.00465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*d**2*t*y**2 - 156*d**2*y**2 - 9*d*t*y**2 - y**2 wrt t?\nAnswer: 31*d**2*y**2 - 9*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976*q + 152 = 9259 + 7485 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 2*q - 10 - 3, 0 = -2*q - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 0*s**3 + 7*s**3 - 4*s**3 + 2*s**2 + 3*s**3 + 2. Let x be k(2). Let l = -33 + x. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 660.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732 - 732 + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*k = 16, -3*k = 4*c - 0*k - 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.59 + -1.61. Let i = g - -15.7. What is the fourth biggest value in i, -0.5, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/145*(-210)\/63?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 - -222. Let v = i - 107. Which is the nearest to -0.8? (a) -0.1 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1651871 is divided by 790?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-6\/25))\/(i*i**(1\/11)*i))\/(i**(1\/39)*i\/(i*(i**(-16\/3)\/i)\/i)) assuming i is positive.\nAnswer: i**(-93199\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 4 + 4*m)*(-4*m**2 - 43*m + 43*m).\nAnswer: -16*m**3 - 44*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 141.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 2 - p**2 - 2*p**2 + 1. Suppose 0 = -4*g - u - 17, 17*g + 5*u = 13*g - 37. Let b(n) = 65*n**2 - 40. Give g*b(f) - 40*m(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*f + u - 1318, 2*u = -6. Suppose 2*q - q = -4*r + f, 5*r - 410 = -q. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 773592807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*3.04\nAnswer: -0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6153.364863 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36.239 - -4.239. Let h = 1063137.99965 + -1063170. Let m = f - h. What is m rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 - 4) - (-2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.89\nAnswer: 1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25233 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 9*l = -2*r - 2*l - 23, -3*r + 13*l - 9*l - 26 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y + 2*y - 4*y - 2*y - 30 to a*y + c and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 78 - 41 = -4*f, 3*f = -9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, 2261.8, -11\/5 in increasing order.\nAnswer: -11\/5, 1.8, 2261.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 5*h**2 - 4*h + 2. Let y be x(-4). Let i(c) be the first derivative of 7 - 4\/5*c**3 - 9\/10*c**y + 0*c - 3\/20*c**4. Factor i(s).\nAnswer: -3*s*(s + 1)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 32*g - 144 = 0. Let d(c) = -3*c - 57. Give d(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/4*(-616)\/(-224).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -11885, -6\/5, 1 in decreasing order.\nAnswer: 1, -0.1, -6\/5, -11885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6467 and 12528?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 32, 43, 56, 71, 88, 107?\n\"Answer: g**2 + 6*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - 15.8. Let i = c - -15.944. Let v = i - 5.544. Round v to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 1423*b**6\/6 + 4331*b**3\/3 - b + 130. What is the second derivative of d(n) wrt n?\nAnswer: 85380*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 8:49 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/3 + 4*b\/3 - 1 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-1)\/5*5. Let p be (-2)\/(-2) - i - -2. What is the third derivative of -2*d**5 + 0*d**5 + d**2 + 5*d**p wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -0.2. Let s = d + 0.4. Let v = 1 + 0. Are v and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49968 divided by 3435.\nAnswer: 16656\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -16. Let q be ((-8)\/(-10))\/(w\/10). Which is the smallest value? (a) q (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 435*(32 - (-18 + 30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359459.\nAnswer: 101, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - -1052?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -53. Let f(r) = -1. Let c(q) = -19 + 4 + 9 + 0*q**2 - 3*q - 2*q**2. Give o*f(y) - c(y).\nAnswer: 2*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1386 or -426?\nAnswer: -1386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**5\/20 + h**4\/6 + h**3\/2 + 2*h**2 + 28*h. Give k(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 583095.964 to the nearest one hundred.\nAnswer: 583100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48330300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16 + 5 + 4*n + n**2 + 21*n + 6. Let x be b(-24). Solve -14 = -x*j - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42058 = -5*v - 11497. Let z = 16990 + v. Let w = z - 66279. What is w rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -732442103 - 0.1781.\nAnswer: -732442103.1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 8:55 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -5384\nAnswer: 2692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 23*z - 2 = 0. Suppose -10 + z = 4*f. Which is smaller: -12\/19 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d92f (base 16) to base 6.\nAnswer: 2332451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-141)\/((-116748)\/630)).\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 27*i**2 - 25*i + 24. Let c be f(-26). Sort -3, 3, c.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*q + q + 8, -11 = -4*i + 3*q. Suppose i*j = 47 + 3. Let y = -80836 + 80861. What is the greatest common divisor of j and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -404 - -384.1. Let y = 20 + r. Let l = 0.1 + y. What is l rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 2*f**2 + 2*f**2 - 24*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 20*o**2 + 399*o - 1659. Give j(4).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 381358669 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(7\/3 + -1). Let n = 2 + f. What are the prime factors of (-1)\/(-1) - (-5 - n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41314 - 1632.\nAnswer: 39682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 288*m**3 - 1173001 - 1173000 + 2345999 to the form k + x*m**3 + g*m + t*m**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/(-14) - (-4)\/(-14). Let q be 4 - (g + (11 - 4)). Is 109*((-3)\/q)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -26*u**2 + 6*u + 3. Let b(l) = -28*l**2 + 7*l + 3. Calculate 5*b(q) - 6*j(q).\nAnswer: 16*q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*q - 7*q - 4*q + 131*q**2 + 72*q.\nAnswer: 131*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + 2 - 0 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70721326.\nAnswer: 2, 13, 17, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -307173 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5220 is divided by 649.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 151 times -2.23\nAnswer: -336.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 22) + (37 + -3 - 26) + 2 + 1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0 + 15. Suppose 0 = -6*u + w*u + 48. What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001272012 to seven decimal places.\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = 0, q + 108*l = 105*l - 6. Which is the nearest to 1\/3? (a) -2 (b) -0.1 (c) q (d) 0.983\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14487 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 13. Suppose -8*j + 7*j + 12 = 0. Suppose m - c + 29 = -m, j = 4*c. What is the tens digit of f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpgvvvvvpppgpvp. What is prob of picking 1 p and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 731 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52996215 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 (base 12) in base 2?\nAnswer: -100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, y: 3, z: 7, l: 4, p: 1}. What is prob of sequence ylpx?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-260)\/2730)\/((-6)\/14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8374 = 139*d - 34*d + 1549. Solve 41*a - d*a - 72 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720 and 3897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqwqwwiq. Give prob of picking 1 i and 3 w.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 14*i**2 - 14*i - 12. Let s = 2 - -13. Let r be p(s). Find b such that 0 - 5\/3*b**r + 4\/3*b**5 - b**4 + 1\/3*b + b**2 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -98bd7?\nAnswer: -98bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96) + (sqrt(96) - 1*sqrt(96) - sqrt(96)) + sqrt(96))*2 - sqrt(96))\/sqrt(4))\/(sqrt(432) - (-6*sqrt(432)*1 - sqrt(432))).\nAnswer: sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2) + (-14)\/(-10). Let v be (12\/30)\/((-6)\/(-5)). What is the closest to -0.2 in w, -3\/7, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232227276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(0 + 0 + 3*j) + (6 + 8 - 12)*(-3258 - 77*j + 3258) to v + r*j and give r.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 10 = 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llpplpllplplplllpppl. Give prob of picking 1 l and 1 p.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151683 and 5394?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r*(r\/(r**9*r))\/r)\/((r\/(r*r**(-2\/11)))\/r**(-1\/4)) assuming r is positive.\nAnswer: r**(-1289\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 5*x - 21*x + 53*x**2 - 3*x - 26. What is the units digit of z(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from hhhohhhoyh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.9 - 32. Which is the closest to 1? (a) -0.5 (b) o (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 2*s + 18, 2*z - 3*s + 23 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0996 + 42?\nAnswer: 42.0996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l - 2. Let b be n(-3). Suppose 2*u - 13 = h, 2*h - h = b*u - 23. Let c be 5\/(50\/(-60)*3). What is the closest to 0.1 in c, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r**6 + 37*r**2 + 5 - 4*r**6 - 401*r**4 + 4 wrt r.\nAnswer: 120*r**3 - 9624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 3*r - 672. Suppose -6*p + 54 = r. Sort 2, p, 20, -3 in decreasing order.\nAnswer: 20, 2, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012010021 - 2?\nAnswer: -1012010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 16 = h. Let v = h + -23. Let t = -141 + 201. What is the greatest common divisor of t and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 0 + 1\/4*a**2 + 1\/2*a = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469342 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 nearest to 0.1 in -4, -0.26, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 200371, 400892, 601413, 801934?\n\"Answer: 200521*n - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3613.541ml?\nAnswer: 3.613541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y + 5. What are the prime factors of u(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-2) + (35 - 28))*(-4 - -2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/146518?\nAnswer: 1\/146518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 765323175.09.\nAnswer: -765323175.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 12 + 22)*(0*a - 4*a + 3*a)*(230*a + 43*a - 23*a).\nAnswer: -15000*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*o + 230, -3*o + 39 = -5*x + 185. Let p(g) = -g**3 + 1. Let v(m) = 35*m**3 - 42. Determine o*p(q) - v(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 133 = 6*c + 3, -74 = 3*c + 4*n for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15145*t**3 + 690*t - 342*t - 348*t + 8130*t**3.\nAnswer: 23275*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -22*i + 1263. What is x(55)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11793 = -b - 91*l + 93*l, -47160 = -4*b + 5*l. What are the prime factors of b?\nAnswer: 5, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 30 = -3*p - 21, 2*g - 4*p + 30 = 0. What are the prime factors of (-14430)\/g + (-2)\/(-42)*-3?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67.1 (b) -2\/3 (c) -5 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152*j**5 - j**2 + 10493*j + 91*j**5 - 10562*j wrt j?\nAnswer: 14580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 5*d**2 + 8*d**2 + 7 + 7*d**2. Is m(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1. Let w(m) = -4*m - 8. Let x(b) = o(b) + w(b). Let z(j) = 7*j + 13. Determine 11*x(v) + 6*z(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 1592*x\/11.\nAnswer: 2*x*(x + 796)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 21635 + 21696 = -4*d, -12*d + 3*x = 201 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*sqrt(112)*3)*3.\nAnswer: -144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**5 - 36*r**4 - 99*r**3 - 61*r**2 + 3. Let a(m) = 8*m**5 + 36*m**4 + 100*m**3 + 60*m**2 - 4. Let g(x) = -3*a(x) - 4*p(x). Factor g(k).\nAnswer: 4*k**2*(k + 1)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddf when three letters picked without replacement from {f: 11, d: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izgp when four letters picked without replacement from iupplzlg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*x**2 + 2*f*x + 9*f - 70*x**5 - 2*x**4 - 11 wrt x.\nAnswer: 4*f - 1400*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*g + 3. Suppose -31 = g*n - 911. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*g - 48 = -g, -4*d + 3*g = -57. Suppose -3*k - 44 = -7*k. Let r(s) = -8*s + d + 4*s - k. Give r(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3920*g - 10193. What is the tens digit of w(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 86465, 86447, 86429, 86411, 86393, 86375?\n\"Answer: -18*n + 86483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -10110110210211000?\nAnswer: -10110110210211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*s + 9*s + 27*s - 202776. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*m**2 + 35*m - 56*m + 29*m - 8*m.\nAnswer: -157*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 954?\nAnswer: -94c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h. Let k(d) = 12*d + 2. Let j(v) = -36*v - 7. Let i(w) = 2*j(w) + 7*k(w). What is c(i(b))?\nAnswer: -60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 29 = 5*j, -3*j - j + 5*u - 1 = 0. Sort -3, j, 4 in increasing order.\nAnswer: j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {u: 4, x: 1, q: 3, z: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421 - -2524102?\nAnswer: 2523241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/80 - (-72)\/180.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0 - 46*d + 1\/6*d**3 - 4*d**2. Let c(z) = 2*z - 17. Give 6*c(b) - 13*o(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 + 1.75. Let p = w - 1.95. What is the third smallest value in -3\/2, p, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 70 - (2\/(-3)*-1)\/(12\/90). Solve t = -3*a + 16*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - 32) + (132 - (-51 - -192)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -2 + sqrt(125))*-3 + 3 + -2.\nAnswer: -30*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbknjwbs. Give prob of picking 2 w and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -67. What is the units digit of (p - (5 + 1))*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 9*k**2 + 4. Let j be r(9). Let n(c) = -c**2 + 7*c - 2. Let i be n(5). Solve j*d - i = 2*m - d, -4*m - 4*d - 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -47, 0, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4434962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 85\/20 + (-2)\/8. Suppose -w*a + 8 = -3*a. Let z = 26 - a. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371*1264.83.\nAnswer: 469251.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 440*u**2*w**3 + u**2*w**2 - 6*u**2 - u*w**2 + u*w - 2*w**3 + 2*w**2 wrt u?\nAnswer: 880*w**3 + 2*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgj when three letters picked without replacement from {g: 5, j: 3, i: 2, p: 7}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -52, -50, -48, -46, -44?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 126, 188, 248, 306, 362?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -27*t - 7. Let a be j(-1). Suppose -3*w + a = 14. What is y in 20*y**w + 18*y**3 + y - 5*y - 34*y**3 = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4 - 10*q + 2*q - 2*q**2 + q**2. Let d be g(-7). Let a(u) = 6*u - 2 + 0 - d*u. Determine a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 312*d + 1918. Let t be v(-6). Solve -5*r = 5*c - 15, 3*c - 5 = -t*r + 45*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 586766153 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1771408071 - 1771407938.00000624. Let t = -133 + l. Round t to seven decimal places.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/7, 1\/3, 0.1, -1\/97?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2229*a + 26523 - 36120 = 41670 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - f**2 + 13. Let a = 2 + -107. Let z = a + 109. Suppose s = 5*l + 9 - 4, s - z*l = 4. What is k(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -103*u**2 - 28*u + 7. Let c(r) = 103*r**2 + 30*r - 8. Let x(h) = -5*c(h) - 6*o(h). What is the second derivative of x(b) wrt b?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 5*d**2 + 25*d - 5. Let a(c) = c**3 - 7*c**2 + 37*c - 7. Let v(m) = -m**2 - 21*m - 59. Let j be v(-18). Give j*a(t) + 7*o(t).\nAnswer: 2*t**3 - 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = -23*r + 16, -117*r + 856 = g - 10*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*g**3 - 291*g**3 + 138*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -b4702d (base 14) to base 6\nAnswer: -334301413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/30 + k**5\/60 - k**4\/24 - 2*k**2. Calculate the remainder when 17 is divided by j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*m + 9. What is the third derivative of -4*q**2 - 2*q**3 + 2*q**m + q**3 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 + 35*y**2 + y. Give x(-12).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 0*c - c)*(20*c**2 + 44*c - 44*c) - 34*c**3 - 8*c**3 - c**3 as w*c**3 + v*c + s + l*c**2 and give w.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.23 + -306.77. Let m = -303 - h. Which is the second biggest value? (a) -1 (b) -2\/11 (c) m (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 5)*(3 + 3 - 7) - 2 + 2 + 1)*(-1231*q - 443 + 443) to the form z + n*q and give n.\nAnswer: 1231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 100 = 103, 0 = 2*c - 5*x - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 21131 + 1239 = -2992. Is v at least as big as 16903\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = 30. Find the first derivative of -5*x**3 + 22 - c*x**3 + 3*x**3 + 4 wrt x.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000031360283 to 6 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 + 107 + 2 + -5 + -6 + 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 3*117\/27. Solve 0 = -3*m + i - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 4)\/(1\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -396568 and 0.61 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21.3, 0.5, 227, 3.3 in descending order.\nAnswer: 227, 21.3, 3.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 18)\/(-3) + 4. Let b(p) = 9*p**2 + p. Give b(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = b. Calculate the remainder when (b\/(-8))\/(-2*3\/2082) is divided by 89.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 2*o + 22. Let h(c) = 2*c**3 + c**2 - 3*c - 43. Let x(k) = -11*a(k) - 6*h(k). Give x(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123*c**2*l + c*l**2 - 91*c*l + 46*l**2 + 2*l - 60 wrt c?\nAnswer: -246*c*l + l**2 - 91*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11979)\/(-1197) + -10)*8. Are v and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -365, -1547, -3595, -6557, -10481?\n\"Answer: -8*r**3 - 385*r**2 + 29*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + 39\/9. Suppose 0 = -b + t*w + 12, -5*b - 3*w - 7 + 21 = 0. Solve -12 = -b*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4364*u**2 + 6110 + 5770 - 963 wrt u?\nAnswer: 8728*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124693.\nAnswer: 124693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 78\/34*(519\/(-54) + (59 - 49)) and -59\/138?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11371967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p - 58573. Let j(v) = 3*v**2. What is r(j(a))?\nAnswer: 30*a**2 - 58573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 458*x**2 - 6*x - 254. Let y(i) = -916*i**2 + 10*i + 506. Let a(n) = 5*d(n) + 3*y(n). Differentiate a(s) with respect to s.\nAnswer: -916*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 14, 8, -5.\nAnswer: -5, 2, 6, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*-16.72\nAnswer: 83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2482 and 9622.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 10*r - 32. Calculate the lowest common multiple of r and 26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 105*l**3 - 297*l**2 - 291*l - 96.\nAnswer: -3*(l + 1)**3*(l + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11595*m**2 - 46350*m**2 + 11588*m**2 + 11584*m**2 + 11584*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.06 - -0.06. Let o = n - -3. Let j = o - -6. Is j >= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14997965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -139, 5?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*4\/(-1). Suppose -3*l + 78 = -2*q - 7, 0 = -4*l - z*q + 90. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + 0.9. Suppose 0 = -23*i - 17 + 132. Put 1, q, i in descending order.\nAnswer: i, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -7.58?\nAnswer: -3.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -313*z**4\/24 - 47*z**3\/6 - 6*z**2 + 8*z. Find the first derivative of y(l) wrt l.\nAnswer: -313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, m: 9}. What is prob of sequence hhmm?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 19 = 6*m. Suppose 36 = m*z - 32. Solve 4*f + x + 24 = -4*x, f + z = -4*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2078 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 55 = -a. Let d be (-2)\/a - 334\/22. Is (16 + -1)*(-9)\/d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from {s: 5, j: 5, d: 1, a: 2, p: 6}?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 5*d - 4. Let m be (-10 + 2)\/(0 - 1). Suppose -3*a = -3*z + 6, a + 0*z + 2*z + m = 0. Let t(u) = u + 1. What is a*t(q) - o(q)?\nAnswer: q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m + 5*m + m - 1. Suppose -34 = -5*j - 3*o, 4*o + 11 = 4*j + 3. Give a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6022663866?\nAnswer: 2, 3, 181, 1848577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/140 - 11*x**4\/56 - 3032*x**2. Factor h(i).\nAnswer: 3*i*(i - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 39*r**2 + 69*r + 9. What is v(-37)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871295 is divided by 703?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - y + 3. Let t(d) = 6*d + 0 - 6*d + d - 2. What is 2*i(p) + 3*t(p)?\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 - 22*t)*(2*t - 4*t - t)*(0*t + 0*t + 3*t).\nAnswer: 198*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3, -3, 10 in decreasing order.\nAnswer: 10, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, x: 3}. What is prob of sequence hhh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.78923 take away 15863884?\nAnswer: -15863871.21077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/9959226 and -1\/6954?\nAnswer: 189225294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1))**(-1\/47)\/(r**1)**(-39)*(r**(-2\/7))**12*r*r**0*r*(r*r**(1\/6)*r*r)\/r assuming r is positive.\nAnswer: r**(78359\/1974)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 79*n - 87*n. Suppose 575 = 5*x + 205. Suppose -14 = n*o - x. Solve o = -8*b + 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1123257981*j**6 + 598151325*j**2.\nAnswer: 134790957720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24 - -25)\/(-1 - (-11865)\/11862) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.68087555 to 1 decimal place.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 6. Let j be v(-9). Let f be (j - -4) + (1 - 7). Let y(k) = -k**3 - 4*k**2 + 4*k. Let g be y(f). Solve -3*w + g*w = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 3*w + 28*w + 8*w**2 + 0*w**2 - 6*w**2 - 19*w.\nAnswer: 5*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*r - 91 = 0, z + 2*z = 2*r + 107. Calculate the remainder when z is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 9654202, 4 in ascending order.\nAnswer: -0.2, 4, 9654202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 3*l**2 - 3*l. Let w be f(-3). Let o be w\/270*-5*(-3)\/2. Which is the nearest to 0? (a) -3 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -16*u - 15. Suppose -5*h - 3*z = 163 + 96, -h + 3*z = 41. Let q = -151\/3 - h. Sort q, -0.5, -1, u.\nAnswer: u, -1, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1647 + 1250. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -724*b**3*g + 68*b*g**2 - 72521*g**2 - g wrt b?\nAnswer: -2172*b**2*g + 68*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -264\/89, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2))**(1\/3)\/((a*a**(-8)\/a)\/((a\/(a**(-3)\/a))\/a)) assuming a is positive.\nAnswer: a**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + g)*(-2*g - g + 2*g) - 2*g**2 - 3*g + 3*g + 2*g**2 + 0 + 0 + (0*g - 2*g + 4*g)*(g - 2*g + 3*g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/((-2)\/4). Let j = -6 - -7. Suppose j = 5*r - 4*k, -1 = r + 3*k - 5*k. Is r smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 28*x + 9. Let l be i(28). What is the smallest common multiple of l\/5 - ((-60)\/25)\/(-3) and 470?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-28)*(-84)\/(-189)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9716, -9773, -9868, -10001, -10172, -10381, -10628?\nAnswer: -10913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 12 - 2. Let b = 4 + j. Let z(g) = b + 0 + 1 - g. Give z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 0. Let g be (4\/(-2))\/w - 1. Let d(r) = -r**2 - 23*r - 120. Let x be d(-9). Which is greater: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1)*5\/(-20)*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5048)\/(-3155)*45\/(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-2)\/y))\/y)\/y)**(8\/11)\/(y*y**(-2\/3)*y*y**(-8)*y)*(y**5*y**(-2\/7)\/y)**(-47) assuming y is positive.\nAnswer: y**(-38681\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 12:41 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -514 - -505. Let s be 10 + y + (7 - 3). Solve -2*m - 3*m - 6 = 4*u, 3*u - s*m - 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19007 + -b7?\nAnswer: 18b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 - 3*i - 2*i + 6 - 38 - 35 to the form c*i + k and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21074, 21073, 21072, 21071?\nAnswer: 21070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*c = -159*c - 12. Suppose -15 = -8*k + c*k. Solve -4*m + 4 + k = -3*j, m = 5*j - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462932.5ug to grams.\nAnswer: 0.4629325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 5*l**2 - 2*l - 5. Let h be o(4). Differentiate -10*g**3 - 3 + 9*g**h - 5*g**2 + 5*g**2 wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*g - 2714, 14*u = 18*u - 5*g - 5480. Let d = u - 4327\/3. Which is bigger: -78 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8918 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 231147018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*d - g, 2*g = -5*d - 2*g + 9. Solve -i + 3 = -d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(2625\/50)*(-10)\/(-6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 - 6*k**2 + 28*k - 135. What is i(-5)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014257247 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/8 + -109\/40. Suppose c + 2 = 6. Let l be c\/(-14) - (-32)\/63. Put -4, l, s in descending order.\nAnswer: l, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 7:24 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 46*w**2 + 17*w. Let k(l) = -3163*l**2. What is g(k(m))?\nAnswer: 460210174*m**4 - 53771*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7 + -8 - 2538\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26.1, 1, -0.1, 0.5, -0.08 in descending order.\nAnswer: 26.1, 1, 0.5, -0.08, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.054 + -0.054. What is the nearest to h in 5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 21 - 459*b + 48 to the form m*b + a and give m.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 161859087 and 161859087 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20173 and -5?\nAnswer: 20168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*33\/88 + (-37034)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4484318.9?\nAnswer: 4484320.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -14262.38\nAnswer: -213935.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 477, -366, -2687, -7224, -14715, -25898, -41511?\n\"Answer: -123*i**3 - i**2 + 21*i + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 469, 1066, 1675, 2296?\n\"Answer: 6*l**2 + 579*l - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Suppose 11 = -5*g - 2*s, -4*g - 7 = -3*g + m*s. Suppose 0 = 22*b + 189 - 145. What is the smallest value in b, -2\/3, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 7\/5. What is the smallest value in 3, j, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*108\/360 - 10*1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-630)*5*3\/1.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 4*j**4 + 3*j**4 + 2*j - j**3 - 4*j**4 - 3*j to s*j**3 + d + t*j**2 + c*j + u*j**4 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3170 = -5*s, -15763 = -v - 4*v - 4*s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21572240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = p - 4*x + 39070, -117221 = 3*p + 5*x. Let r = -22747 - p. Suppose 2*y + 41875 = -r. Round y to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x**2 - 5*x - 5. Let v(r) = 1 + 5*r**2 - 2*r + r + 1 + 3*r. What is -2*b(z) - 5*v(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65a + -126?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*((sqrt(91) - (sqrt(91) + sqrt(91)*2 + sqrt(91) + sqrt(91) + sqrt(91))) + sqrt(91))*-3)\/(-4*-1*sqrt(63)*-5).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*r + 22, -4*r + 2*b - 8 = -12. Let m = r + -400. Round m to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 116*l**3 - 24*l**2 + 158*l + 123. Does 15 divide m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-501)\/15 - 1048\/655\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108200 = 18*s - 35800. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -77. Let w be 6\/(-4)*12\/m. Is (0 - w)*1 - -3986 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oax when three letters picked without replacement from ooeeeooaqooxeaoeox?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -6673.\nAnswer: -6673, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 675*p**5\/4 + 9405*p**4\/4 + 50277*p**3\/4 + 127683*p**2\/4 + 37962*p + 16428 = 0.\nAnswer: -4, -37\/15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95) + (-1*sqrt(95)*-3 - sqrt(95)))\/(-2*sqrt(30)\/sqrt(6)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e17 (base 16) to base 4.\nAnswer: 1320113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 + -69 + -91 - -71.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/44 and 149\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - l = -65498, -2*l = -2*h - h - 39296. Round h to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 + 10 = 5*t, 4*h - 15 = -5*t. Suppose l = -3*c + 5 + 9, 3*l + 5*c - 26 = h. Solve 4*w = -4*j, -l*w = -2*j + 7 + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68000 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*m, 5*m - 12 = 4*i + 25. Suppose -5*f + 525 = m*p, 0 = -4*f - 0*f + 5*p + 420. What is the highest common factor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.028 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.1, 1\/3, 7, -2\/161, 0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5755d (base 14) in base 15?\nAnswer: 42dbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54.8 + -55. Let x = j - 0.2. Let f = -82\/207 + 4\/23. What is the third smallest value in -0.5, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(288) + sqrt(288)))**2 + 4 + 5*sqrt(98)*2.\nAnswer: 4 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 363*q + 170*q + 1325 + 23193 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6667 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353745 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(21\/9 + -2). Let j(y) = -y**3 + 3*y**2 + 5*y - 11. Let p be j(3). Sort r, p, 3 in increasing order.\nAnswer: r, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:26 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024638 rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/24 + 7)*8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84821797?\nAnswer: 31, 37, 73951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300012 rounded to the nearest 1000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*d**2*y - 1151109681*d**2 - 21086*d*y - 43*y wrt y.\nAnswer: 12*d**2 - 21086*d - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3 - 70*x**2 + 1073*x + 5476 = 0. Calculate x.\nAnswer: -4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q - 7*q + 168. Is q at least as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17866*c**2 - 4584*c**2 + 22437*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u. Let r be p(2). Suppose -n - 60 = r*n. Let t = -2 - n. What is the remainder when 53 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 0*q + 8 + q - 6. Suppose 6*u - 8*u + 39 = -3*f, 0 = -5*u + 2*f + 48. Let y(x) = 1. Calculate u*y(o) - c(o).\nAnswer: -2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = 4*k, h - 9*k + 4*k - 16 = 0. Which is bigger: h or -1483\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 8 = 4*p - 6, 3*r + p + 5 = 0. What is the lowest common multiple of (2 + 3)\/(r\/(-8)) and 306?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141 + 427\/3. Let b(l) be the first derivative of s*l + 25\/9*l**3 + 10 - 10\/3*l**2. Factor b(c).\nAnswer: (5*c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 99.38624t?\nAnswer: 99386240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6575364119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -4238.9\nAnswer: 59344.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4027 by 1.\nAnswer: 4027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(2 + c**2 - 1 - 2)*(-2*c - 3*c - 3*c).\nAnswer: -24*c**3 + 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2 - 1 + 0. Let a(g) = -5*g - 26. Let h be a(-5). Let n(s) = -s**2 - 4. What is h*n(q) - 2*r(q)?\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 2889360782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = o - 5*p, 3*o = -4*p + 6*p - 1. Let s = 8 + -4. Let w be 2\/s + 21\/6. Solve 0 = -o*f + 3*k, 5 + w = 3*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:18 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 11, 5, -17, -61?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**2 + 14690*v + 10789805 = 0.\nAnswer: -1469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -8. Let p be (c*(-2)\/(-8))\/(-15). Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 99. Suppose u - 4 = -h + 2*h, -4*u + 31 = h. Suppose -10*y + 45 = -u*y. Calculate the remainder when a(19) is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34909\/32 + -1091. Let r be 5 + 1 - (-12)\/(-6). Let d be ((-2)\/r)\/((78\/(-12))\/(-13)). Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 215*g = -212*g + 10, 6 = 2*d - g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + d**2 + d**2 - 17*d**4 + 16*d**4 in the form f*d**4 + v*d**3 + x*d + s + b*d**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 124. Suppose -4 - n = -5*h. Let v be h\/10 + 896\/10. What is the greatest common factor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1806, 1328, -192, -3276, -8446, -16224, -27132, -41692?\n\"Answer: -87*a**3 + a**2 + 128*a + 1764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2*z - 16 - z - z + z + (-2 + 2 - z)*(5 - 3 - 1))*(-3*z**2 + 3*z**2 + z**2).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5427 and 134?\nAnswer: 10854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l**3 - 14*l**3 + 7*l**3)*((0 + 0 + 9)*(-l + 4*l - 4*l) + l - l - l).\nAnswer: 190*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 273770, 280207, 286644?\n\"Answer: 6437*z + 267333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023555 rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 12. Let d = 7 - 1. Let r be u(d). Suppose -2*p = -r*p + 20. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1241*s. Let z(u) = 3*u**2 + 14*u. Let p(k) = k**2 + 4*k. Let y(v) = -7*p(v) + 2*z(v). Determine n(y(f)).\nAnswer: 1241*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/(-30) + 37\/2. Suppose 1197 = f*x - 10*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4))**(-10\/9)\/(n**(-2\/13))**(-20) assuming n is positive.\nAnswer: n**(10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*z - 5 + 5 + 0 to the form i + q*z and give q.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64514113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -100. Let m = -7 - t. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/15)\/(3\/9). Suppose 0 = k*f, -32 = 2*w - 2*f - 2*f. Find the common denominator of 51\/11 and 138\/w + -1 + -1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.047\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:21 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c**6 + 0 + c**2 + 0*c + 0*c**5 - 1\/8*c**4 + 1\/70*c**7 + 0*c**3. What is the second derivative of y(h) wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 305525728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2. Let n(j) be the second derivative of 4\/3*j**3 + 0*j**2 - 1\/4*j**4 - 24*j + 0. Calculate l(n(t)).\nAnswer: 18*t**4 - 96*t**3 + 128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-27)\/(-12)) + 74\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 7*z)*((56 + 9 - 13)*(-2*z + 3*z - 3*z) - 16*z - 26*z + 13*z).\nAnswer: -399*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 7247*p**6\/30 + 1108*p**3\/3 + 3*p**2\/2 + 13947*p. What is the second derivative of w(q) wrt q?\nAnswer: 86964*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 18406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - r**4)*(-r + r - 2*r) + (-5*r**4 - r**2 + r**2)*(2*r + 4*r - 4*r).\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23531, -48680, -73829, -98978, -124127?\n\"Answer: -25149*w + 1618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*f**2 + 0 + 0*f + 1\/3*f**3.\nAnswer: f**2*(f + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000979685 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101624 minus 74?\nAnswer: -101698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-1)\/(-2)). Let t be (21 - 1935\/86)\/((-6)\/(-20)). Which is the biggest value? (a) p (b) 33 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from pgppgggwlg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + a = 741*v - 746*v - 22, 52*a = 49*a + 2*v + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8180 - -8181. Solve -4*t - 5*m + r = 9, -3*m = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25496, -50926, -76292, -101594, -126832, -152006, -177116?\n\"Answer: 32*n**2 - 25526*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -539, -5, 506 in increasing order.\nAnswer: -539, -5, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 4*u + 6*u)*(5929 - u - 1913 + 1635).\nAnswer: -u**2 + 5651*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2. Let x(g) = 2*g + 7250525. Give x(s(l)).\nAnswer: 2*l**2 + 7250525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 71\/9, -802.511 in decreasing order.\nAnswer: 71\/9, 1, -802.511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7461 + 7661.44. What is w rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7821737l in millilitres?\nAnswer: 782.1737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2205 and 5724.\nAnswer: 1402380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 192\/14 + 46\/161. Suppose 952 = -r*s + 21*s. Calculate the remainder when s is divided by 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1001 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neen when four letters picked without replacement from {n: 9, e: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) + (-86)\/(-18). Solve 0 = 2*o + 3 - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1617*b - 38*b - 2081*b + 729*b to the form f*b + g and give f.\nAnswer: -3007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w - w**2 + 19*w**2 - 8 - 2*w. Let n be j(-5). Suppose -s = -4*s + n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*k = -13, -21 = 3*x - 5*x + k. Suppose -2*n - 57 = -i, 0*i + 219 = 4*i + n. What is the greatest common divisor of i and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 82*i - 37*i - 1133 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9\/4)\/b)**6 assuming b is positive.\nAnswer: b**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v - 39 = -52*v. Suppose 0 = v*n - 8*n - 65. Suppose -11*g = -n*g + 344. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15090, -15391, -15692?\n\"Answer: -301*v - 14789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**2 + 113*w - 15. Determine q(13).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 441537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8499 - 8478. Solve -r*s = -26*s - 40 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**23*i*i*i*i**(-14))**(-2\/45) assuming i is positive.\nAnswer: i**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((-23)\/(-184))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -50. Sort 1, a, 3 in decreasing order.\nAnswer: 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 236b99 + -2?\nAnswer: 236b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171261051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r + 0*r)*(-10*r + 7*r + 14*r)*(-r**3 + 2*r**3 + 4*r**3) + (-2*r**5 - 1 + 1)*(-5 + 4 + 3) - 6*r**5 + r**5 + r**5 - 2*r**5 + 3*r**5 + r**5.\nAnswer: 159*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eenrerjnjjeljejnjrjj. Give prob of sequence jn.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1833652*s**2 - 26225*s - 10490. Let f(z) = 1049*z**2 + 15*z + 6. Let i(k) = 5245*f(k) + 3*t(k). Let v(w) = 3*w. Determine v(i(n)).\nAnswer: 3147*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 1, f: 4, u: 5, y: 1, v: 1}. Give prob of sequence yuuv.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 266930.0151 rounded to the nearest 1000?\nAnswer: 267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r. Let w be n(2). Let a be (-1)\/((-20)\/w - 1). Let j = a + 16. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = p, 0 = -m - 3*m - 8. Suppose 0 = -p*f + 4*f - 4*o - 19, -3*o = 12. What is q in -5\/3*q**f - 1\/3*q**2 - 4\/3 + 8\/3*q + 1\/3*q**4 + 1\/3*q**5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6183.32132 rounded to the nearest integer?\nAnswer: 6183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(14265 - (-10 + 18)) a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 105*y**3 + 8 + 2*y**2 + 4*y**2 - 104*y**3 - 14*y. Let v be z(-8). Which is the third biggest value? (a) -1 (b) 2\/5 (c) v (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*o - 28, 5*w = 3*o - 9 + 4. Suppose 0 = w*c, -5*c + 970 = 4*s + 238. List the prime factors of s.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5))**39\/((x*x\/x**(-3\/5))\/(x\/(x\/(x*x**(-4)*x*x))*x*x)) assuming x is positive.\nAnswer: x**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15479533 + 9145476. Suppose 0 = -3*i - 5*l - 10002186, 2*i + 3*i - 5*l + 16670270 = 0. Let v = i - z. Round v to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 - 7909*b**3\/3 + 8777*b**2 - 2627*b\/3 - 5266 = 0. Calculate b.\nAnswer: -2\/3, 1, 3, 2633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44182.63338 - -44183. Round r to three decimal places.\nAnswer: 0.367","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 187120*t + 44307984.\nAnswer: 4*(t + 238)*(t + 46542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 - 10*q. Let a be l(-3). Suppose 9*o + a = 39. Suppose 10 - 89 = -3*g + 5*n, 2*g = 5*n + 56. Solve 3 = 2*f + 3*u, o*f - 5*u + 4 = -g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93044861*p**3 + 55911015*p**2 + 1 wrt p.\nAnswer: -558269166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*w - 3*w - 7, 4*w + 12 = 0. Which is the biggest value? (a) 0.3 (b) k (c) 2\/11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -63 (b) 5 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 49011.39 millennia?\nAnswer: 490113.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 342, 348, 354, 360, 366, 372?\n\"Answer: 6*q + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52430597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 686800 or 686799?\nAnswer: 686799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 47, 57, 67, 77, 87?\n\"Answer: 10*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 2*k**3 + 45*k**3 + 49*k**3 - 14*k**3 + (2*k + 3 - 3)*(2*k**2 - 3*k**2 + 3*k**2) to l*k**3 + i + c*k + j*k**2 and give l.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t + 20 = 0. Let f = -94 - t. Is (-2)\/(-3)*f\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 3. Let r be (-162)\/10 + (-5)\/(-25). Let u be -1*(1 + r\/4). Let h(p) be the first derivative of -p**2 - 4*p + 4. Calculate u*y(w) - 2*h(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 16 = -3*g. Sort -1, -2, g in decreasing order.\nAnswer: -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*x - 40 = -x, -3*x + 15 = 0. Does 7 divide (1495\/(-230))\/((-2)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16254, 65528, 147666, 262680, 410582?\n\"Answer: 2*v**3 + 16420*v**2 - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/39))\/((q*q*q**(1\/29)*q)\/q*q*q) assuming q is positive.\nAnswer: q**(-3374\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74395, -148791, -223165, -297517?\nAnswer: -371847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11042474 is divided by 1079.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 3*l)*((-3 - 4 + 0)*(-1 - 1 + 0) + 4 + 6 - 3 - 5 + 2 - 2) in the form k*l + s and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45160 * -1.\nAnswer: 45160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*i + 45 = 6*b, -4*b + 18 = -2*i. What is the third derivative of -29*f**5 + b*f**2 - 3 + 30*f**5 + 3 wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -266974 and 11116?\nAnswer: 278090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32928)\/2744*195\/(-18)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.054099 (b) 3 (c) 1\/2 (d) -0.4 (e) -4 (f) -0.001\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170881489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -291 - -294. Solve y*g + 4*i = 10 + 9, -5*i + 21 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, -7\/12, -1\/5, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-1)\/(-6))\/(28\/(-252)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 207592*a - 2693402404.\nAnswer: -4*(a + 25949)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((28 - 11) + -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:50 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4)*4*-1*0. Suppose u*w + 60 = -2*w. Is -31 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255612 divided by 6?\nAnswer: -42602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -117, -187, -263, -345?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 244*l + 130*l**2 - 46*l**2 - 43*l**2 + 3*l**4 + l**3 - 44*l**2 + l**4 in the form a + w*l + g*l**3 + d*l**4 + n*l**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 + g - 4. Let i be o(6). What is the second derivative of i*s**3 - 4*s - 4*s**3 + 5*s - 2*s wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose d + 2*i = 3*d - 32, -3*d - o*i = -28. Let c = -7 + d. Solve 0 = -0*p + p - 4*j - 18, 4*p = -c*j - 33 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 495*z - 10892. What is k(22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/7299 and 11\/4055.\nAnswer: 36495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-2)\/4). Let o be 0 + (0 - -6) - t. Suppose -6 = o*k - 16. Solve 1 = -5*f + q, k*q + 8 = -0*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + c = 2, 37*x + 4*c = 19*x + 16*x + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 3. Let x be m(2). Let h be 12\/114 - 1\/(38\/156). Put h, 11, x in descending order.\nAnswer: 11, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-27)\/6 + 3)*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5 + 1456*o**4 + 8784*o**3 + 17600*o**2 + 11744*o.\nAnswer: -2*o*(o - 734)*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000032005 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 42d89e (base 16) to base 6\nAnswer: 233521342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -29. Suppose 37*s + 416 - 120 = 0. Let k be (-11)\/(264\/9)*s. Calculate the greatest common divisor of r and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + o**3 + 4*o + 0*o - 4*o**2 + o - 5. Determine d(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*z**3 - 177*z**3 - 194*z**3 - 173*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2337, -2347, -2357, -2367, -2377, -2387?\nAnswer: -2397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 5 + 5 - (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -30*h - 27. Let n(u) = u + 3. Let l(x) = 2*x + 7. Let s(o) = 2*l(o) - 5*n(o). Let r be (-48)\/300*(-5)\/(-2)*305\/(-61). Determine r*i(q) - 54*s(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 278100*d*v*y - 3*d*v - v*y + 4*v - 83061*y with respect to d.\nAnswer: 278100*v*y - 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23.3 + -4.02990667\nAnswer: 19.27009333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -7, 0, -41, -5 in descending order.\nAnswer: 16, 0, -5, -7, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - (-56)\/(-12))*24\/(-2). Let x be -15 + ((-3)\/(-3) - p\/(-1)). List the prime factors of (x\/(-10))\/((-28)\/(-2380)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyxmmxxxxxycx. What is prob of sequence ym?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28ab (base 15) to base 16\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 + 15*q + 65. Calculate m(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2026?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -801*x - 1856 wrt x?\nAnswer: -801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605146046?\nAnswer: 2, 3, 7, 73, 191, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 7*w + 724 - 664 = 0, 4*l - 3*w - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/(d*(d\/(d**24\/d))\/d*d)*d)*d**(5\/4) assuming d is positive.\nAnswer: d**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2511.2816 to the nearest integer.\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from ffefazfcafcvecvcfv?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1132616131 and -0.4.\nAnswer: 453046452.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1353 - -1391. Is p < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - 1) + (-11 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izadzizzwziiz. Give prob of sequence wzdi.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 - d**3 - 3*d + d in the form j*d**3 + h*d + f + p*d**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**4 - 13*y - 348 with respect to y.\nAnswer: -8*y**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3555064*s**3 + 14739839*s**2.\nAnswer: -21330384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w**2 - 3*w**2 + 2*w - 4 + 5*w**2.\nAnswer: 2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - 424\/12. Let v be 2\/6 + (-42)\/h. Let k = -86\/7 - -12. Sort k, -4, v in increasing order.\nAnswer: -4, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6745.21kg to grams.\nAnswer: 6745210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*h + 99*h + 189*h = 2184 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.05 - 4.05. What is the fourth biggest value in -4, -3\/5, n, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3003 divided by 13.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -7 + 20 + -14 + (14 - (17 + -6)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -392 * 1.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*z - 10556 = 1154*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117051 = -311*q - 104922 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -244 + 379. Let v = l - 48. Let a = -84 + v. Solve a*b + 1 = -5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 52 = -3*h, 4*f - 6 = -2. Let w = 28 + h. What is the remainder when 39 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + 173. Let z be f(42). Solve z*l = -3*t - 11, 2*l + 4*t = -2*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 7. Let d be q(4). Sort d, 2, -1, -2 in ascending order.\nAnswer: -2, -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*7 - (-1 + -22 + 22834\/(-4893))\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15934a7 + -a?\nAnswer: 1593499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -6, 94, 234, 414, 634, 894?\n\"Answer: 20*o**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 21*k**2 + 12*k - 57. Let s(y) = 58*y**2 + 37*y - 171. Let h(b) = -11*f(b) + 4*s(b). Let h(w) = 0. What is w?\nAnswer: -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*2\/10*2\/4. Sort f, -0.07, 2\/3, -0.04 in ascending order.\nAnswer: f, -0.07, -0.04, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1080377?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + h + 45382, 3*b - h = h + 136152. What are the prime factors of b?\nAnswer: 2, 7, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 0.23.\nAnswer: 0.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13370448.7 - 13370385.700041. Let f = 63 - u. Round f to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddc when three letters picked without replacement from {c: 1, t: 1, x: 1, k: 1, d: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 244 = 5*z, -4*h + 2*z + 301 - 29 = 0. Suppose 2*n - y = 129, y + y = n - h. What is the highest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0.5, -1, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.02 (b) -5 (c) -13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4374 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.4874 millilitres to litres.\nAnswer: 0.3004874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41900 + -12049. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 4)*(-3 + 3 - j) + 2 - 2*j - 2 + j + 3*j - 3*j - j - 4 + 4 + 0*j - 2*j + j - j + 0 + 0)*(-7 + 5 + 1).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16412 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.74 + -2. Let x = -4.46 - g. Let o = 4 + x. Are o and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/7 - 93*p**3\/7 + 2208*p**2\/7 - 2116*p\/7.\nAnswer: p*(p - 46)**2*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33779, 33781, 33783, 33785, 33787, 33789?\nAnswer: 33791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/(11\/1320*12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**5\/20 + 17*t**4\/12 + 10*t**3\/3 - t**2\/2 + 21*t - 23. Let s(g) be the first derivative of a(g). Is s(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11928 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2411*y - 4722. Suppose -r + 4 = 0, 5*r + 364 = 5*c + 119. Calculate the remainder when v(2) is divided by c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 3*z - 6, 2*n = -z + 4 - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215175791?\nAnswer: 215175791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 782762 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*x = 3620, -2733 = -3*z - 22*x + 25*x. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024478 to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let i(u) = u**3 - 9*u**2 + 2*u - 15. Let b be i(9). Let q(a) = -21*a**2. Let w(k) = 10*k**2. Let y(j) = b*q(j) + 7*w(j). Give y(c(l)).\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**4\/24 - 1468*k**3\/3 + 2155024*k**2 + 4236*k. Factor y(s).\nAnswer: (s - 2936)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:34 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, i: 3, t: 7}. Give prob of sequence ttg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 - 206 = -10*q. Solve 2*d + q*k + 4 = 0, 8*d - 3*d + 2*k + 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/92 and 39\/56.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 5 - 16) + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 14*a - 50. Suppose -i = u + i + 7, a = 5*u - 2*i. Suppose 162 + 81 = u*o. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 + 6126?\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 627, 3478, 8297, 15138, 24055, 35102?\n\"Answer: 9*c**3 + 930*c**2 - 2*c - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492 by 123.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4591 and 79.65.\nAnswer: -4511.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 + 7*c + 7. Let y(d) = 3*d + 0*d + 0*d - 2*d + 1 - d**2. Let t be y(-2). What are the prime factors of u(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -15. Find the common denominator of -97\/12 and 84\/g*((-122)\/(-72) - 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 315\/42*-2*(-1)\/3. Suppose v = x - 2, 5*v + 0*x = -q*x + 40. Determine z, given that 13*z**3 - 14*z**4 - 391*z**5 + 8*z**2 + v*z**3 + 381*z**5 = 0.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0 + 1\/20*m**5 + m**3 + 0*m**4 - m**2 + 0*m. Find the first derivative of g(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*(sqrt(70) + (sqrt(70) - 2*sqrt(70))))\/(-6*((-2*sqrt(80))\/sqrt(8) + sqrt(10))))**2*-1 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/(-34)*(-12)\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -603*n**6\/10 - n**4\/6 - 831*n**3\/2 + n**2 - 1370*n + 4. What is the second derivative of b(k) wrt k?\nAnswer: -21708*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, r: 1, a: 4, e: 3}. Give prob of picking 2 x, 1 e, and 1 a.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 38394259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w**2\/7 - 683926*w\/7 - 15499240\/7.\nAnswer: -2*(w + 113965)*(3*w + 68)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:13 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 999676879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -1402 in increasing order.\nAnswer: -1402, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/((-100)\/15 - -7). Suppose 3*w - 58 = 5*y, 4*w + 5*y - 70 = -w. What is the highest common divisor of c and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adaagkkgkvkgkvgvvkaa. Give prob of picking 2 g and 1 v.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 389969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 4. Let m(c) = -c**2 + 5. Determine i(m(u)).\nAnswer: 3*u**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -w + 5*w - 42, f + 63 = 5*w. Calculate the greatest common divisor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-98))\/((-15)\/((-1890)\/18))*-7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122 + -10?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, k: 1, n: 10}. What is prob of picking 1 n and 1 k?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-15)\/6) - (-1)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680432957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(((sqrt(108) + 1*sqrt(108))\/sqrt(9) - (6*sqrt(48) + sqrt(12))) + 5 + (2*sqrt(84) + sqrt(84))\/sqrt(7)))**2 + 4.\nAnswer: -5760*sqrt(3) + 28555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 1368?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 3\/(3\/2). Let p(k) = 2*k - 8. Let j be p(6). Suppose -w = w - j. Sort h, -2, w.\nAnswer: h, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1\/7, -5, -3\/5, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4233 = 3*i - 71970. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + -1212111?\nAnswer: -1211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 9*t - 26. Let p be w(-4). Let h(k) = -31*k + 8. Let f be h(p). Let m = f - 121. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.492797 to two decimal places.\nAnswer: 21.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 2*d + d + 3*d - d + 0*d + 3*d + d - 3*d + (0*d + d + 0*d)*(-1 + 3 + 0) - 34*d + 31*d - 192*d in the form c*d + y and give c.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**3 - t**2 + 2*t - 1. What is p(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.371873, -43, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79\/4? (a) -67 (b) 1\/11 (c) -2 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1252 + 1343 - (205 + 4).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chh when three letters picked without replacement from ccahcahehxhmhhxax?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18088 is divided by 1009.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 - f - f**3 + 2*f + 0*f**3 + 7*f**3. Let a(q) = q**3 + q**2. Let j(g) = -5*a(g) + s(g). Determine p so that j(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:19 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r + 45. Let q be s(-3). Put 0, 7, q, -3 in descending order.\nAnswer: q, 7, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000076559 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, 0, 0.4, -4, -44?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13)*u**(-5)*(u**(-19))**(-41) assuming u is positive.\nAnswer: u**761","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-7)*u)*u)\/u*u**1)\/(u**0*u*u*(u*u*u\/u**(-3\/2))\/u*u))**(-3\/8) assuming u is positive.\nAnswer: u**(-9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5 + 4 - (-3 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7)**(-38)*(m**(1\/4)*m)**(-29) assuming m is positive.\nAnswer: m**(-1209\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 3*x**2 + 3*x + 1. Let k be l(-1). Suppose -u - 22 - 4 = -5*j, 2*u = -k. Solve -j*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, i: 3}. What is prob of sequence si?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3*a - 8)*(3*a - a - 4*a)*(9*a - 7*a + 10*a).\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12552 + -12552. Solve x = -57*k + 50*k - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002086524 to 6 dps.\nAnswer: -0.000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (726\/605)\/(6\/2510)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1311274 or -1311273?\nAnswer: -1311273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59657335 to the nearest integer?\nAnswer: 7724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 17 = -29. Suppose 5*c - 2*x + 9 = 63, y*c = 5*x + 33. Let q = 13 - c. Which is smaller: -42 or q?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**2*v))\/(v\/((v\/((v*v*v*(v*(v**(-3)\/v)\/v)\/v)\/v*v)*v)\/v*v)) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*l - 18 = -58*l + 1630 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v - 13. Give a(6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25 + 0 - -4)\/(-3). Suppose -9*b + q*b = -24. Let m = 15 - b. What is the greatest common factor of 21 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k\/(k*k**(3\/5)))*k)*k*k*k*k*k\/k**(-4\/3)*k)\/(k**(-9)\/(k*k**(2\/5)*k)) assuming k is positive.\nAnswer: k**(272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -32, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37247?\nAnswer: 7, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4800) - (-1*sqrt(4800) + sqrt(4800)))\/(sqrt(1728)*-1))\/(-6*(sqrt(1800)*1)\/sqrt(9)).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -2418\nAnswer: 241.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00927 - -1509.50927. Round z to the nearest 10.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/6 + 6*l**3 - 22*l**2 - 34*l. Let z(g) be the first derivative of i(g). Find the first derivative of z(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from llttaju.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 14540 to the nearest one hundred.\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(28)\/sqrt(4) - ((sqrt(21) - sqrt(336))\/sqrt(3))**2.\nAnswer: -59 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101\/20 or 5?\nAnswer: 101\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -65*n - 70. Let z(i) = -29*i - 36. What is -4*r(d) + 9*z(d)?\nAnswer: -d - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30, -110, -230, -378, -542?\n\"Answer: 2*h**3 - 32*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (40 + -16 + -23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 7. Let t = 14 - 18. Let s be a(t). What is the smallest value in -5, -0.5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168058?\nAnswer: 2, 11, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (12 + -3 - -6) - 7) + (-29 - -24)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 2:16 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28140 + -1772779\/63. Let q = a - -1\/63. Let b = -5 - -3. Put b, 12, q in descending order.\nAnswer: 12, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1111*v - 464095 = -1325*v - 426*v - 3955*v for v.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113457 or -113459?\nAnswer: -113459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g - 4. Let o(t) = -8*t - 5. Let k(w) = -6*o(w) + 7*p(w). What is the remainder when k(-6) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-350)\/(-750))\/((-42)\/(-24)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (11 + -2 - 16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70)*-1)\/sqrt(7))\/(sqrt(4)\/(sqrt(2)*1)*-3).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m*y*z**5 - 817*m*z**5 + 13*m*z - 4*y*z - 3*y wrt z.\nAnswer: 40*m*y*z**3 - 16340*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, h: 3, a: 2, q: 4, s: 1, m: 2}. Give prob of picking 2 h.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, x: 5, g: 6, n: 4, i: 1}. What is prob of picking 1 b, 1 x, 1 n, and 1 g?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/32 + 2 + (-86)\/24?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -679*v. Let l(y) = -732*y**2. What is q(l(r))?\nAnswer: 497028*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -20. Factor u**3 + h*u**3 - 3*u**3 - 2*u.\nAnswer: 2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -3 (c) 3 (d) 1.1 (e) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Solve 5*x - 25 = 0, 2*b + n*x - 30 = -x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a decade in years?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = -21. Let f = m - -14. Is 3 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpipippfpii. Give prob of sequence pfip.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + -0.161. Let o = 0.0010241 + k. Round o to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**6\/180 - d**5\/20 - d**4\/6 + 3*d**3 + 1. Let n(y) be the third derivative of s(y). Factor n(o).\nAnswer: -2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.322 + -75663952.5?\nAnswer: -75663967.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 5*w + 8. Let o(j) = j**3 + 5*j**2 - 9*j. Let a be o(2). Suppose 5*y - 34 = -2*p + a, 6 = 3*p. Is f(y) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 717a4512 + -4?\nAnswer: 717a4509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n + 1. Calculate the remainder when 73 is divided by z(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -18*h + 39. Let k = -40 - -31. What is the tens digit of c(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100 - 1 - 33 + 43 + i**2 + 90*i.\nAnswer: (i - 1)*(i + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -21*p + 77. Give g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21640)\/8656)\/((15\/184)\/3).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431142991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 divided by 22?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63*r*y + 111*r - y - 1 wrt y?\nAnswer: 63*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010784 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: Calculate -24 + (-6 - -29 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + -3 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.16 + 3.794. What is v rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22 + -0.21988. Round s to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 12*a - 21. Let p be 2\/(38*20\/a). Are 1 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 + 132. Suppose 5*q**4 + 0*q**4 + 431*q**2 + 480*q - 601*q**2 - h = 0. Calculate q.\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31522.\nAnswer: 2, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-250)\/4800*-32.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y. Let z(x) = -x**3 + 2*x**2 + 2*x - 1. Let w(p) = -3*l(p) - z(p). Suppose -4*q - q + 4*d = 4, d = q + 1. Calculate w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(3) - sqrt(21)\/(sqrt(7)*2)) - 2*(sqrt(1539) - (sqrt(1539) - (2 + sqrt(1539))) - sqrt(1539)))**2.\nAnswer: -16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i + 2*i**2 - 70*i + 4*i**3 - 4 - i**2 + 3*i**2 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 200*j**2 - 3740*j + 161840.\nAnswer: 5*(j - 34)**2*(j + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.87994 tonnes?\nAnswer: 879940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -18. Which is the second smallest value? (a) 1 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 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 = 653 - 652.7. Sort -3, 2, q, 14.6 in decreasing order.\nAnswer: 14.6, 2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1320 = -2*v, 6*v + 5*q = 2*v - 2614. Let m = v + 672. Solve 7*c + m = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57912404 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 12*d**2 + 48*d + 2. Suppose 3*t - 3 = -15. Let p be a(t). Let f = 14 - -3. Solve -q = m + 7, 3*m - p*q + 3*q = -f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - c + 1. Calculate j(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42222 + -17881. Let x(h) = -3750*h - 59. Let r be x(-10). Let v = f - r. What is v rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 769215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3*1 + (-64)\/(-3). Suppose 0*q - 20 = -2*q. Let p be ((-2)\/(-5))\/(2\/q). Solve 0*y - y + i = -2, a = 3*y + p*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*z - 26, 5*h + 8 + 2 = -0*h for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33862 divided by 2\nAnswer: 16931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*c = 167, -4*o - 4*c + 684 = -8*c. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642.2*-0.00862.\nAnswer: -5.535764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -751 + 750.999999449. What is x rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 5. Let v be z(-5). Let p = -7794 - -7705. Is p greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 62*r + 1864. Determine k(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 8. Suppose 0 = -0*z + 2*z + g. Let t(k) = -k**3 - 4*k**2 - 2*k + 5. Let o be t(z). Solve -3*q = -12, -3*j + q = -6*j + o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70581 (base 9) to base 2.\nAnswer: 1011010101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -2\/3 (c) 9 (d) 2\/9 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 249.\nAnswer: -41\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(612) + -1 - sqrt(612))*-5 + (-3 + sqrt(612)*3)*3)*5)**2.\nAnswer: -37800*sqrt(17) + 1244200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/((-85)\/5508*22\/55)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 2 = 13. Sort -5, 2\/5, m, 13\/7 in descending order.\nAnswer: 13\/7, m, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, -88 in increasing order.\nAnswer: -88, -32, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89344775366 less than -47?\nAnswer: -89344775413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/6)\/x)**35*(x*x**(-3\/10))\/x**(-24) assuming x is positive.\nAnswer: x**(283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25836*t**4 + 70*t**3 - 38*t**2 + 29437 wrt t.\nAnswer: 620064*t + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -7*w**5\/20 - 7*w**4\/8 + 5*w**3 - 7*w**2 - 2. Let p(j) = 4*j**2 - j - 1. Let n(d) = 6*p(d) + q(d). Factor n(t).\nAnswer: 3*(t - 8)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54*(-6)\/2754 - 10*74\/(-68)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*m**3 - 154*m**2 - 2 + 319*m**2 - 165*m**2 in the form g*m**3 + p + j*m**2 + o*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1 + 28*m**2 - 6 - 8*m + m. Let s be q(-5). Let c = s - 5743\/8. Find the common denominator of c and 95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109011715 divided by 2.\nAnswer: 109011715\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -225. What is the lowest common multiple of 12\/(-66) + x\/(-22) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-5)\/((-5)\/(-12)). Suppose o + l = 16. Let j(n) = 2*n**3 - 7*n**2 - 2*n + 1. Let m be j(o). What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33355*m**5 + 35387*m wrt m.\nAnswer: 667100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -982858 + 1807858. What is z rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (79\/(-3) - -3)*(-1 + -2). Let a = 124 - f. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 0.03697 (c) 22 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 580 = -2*r, -2*t = -40*r + 39*r + 272. Solve -296 = 4*m - r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2059138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.000005 - -40. What is r rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-11)\/3 - (-8)\/(-12). Differentiate -6*z**3 + 9 - 20*z**a + 2*z**3 wrt z.\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 2*g**2 + 4. Let q be s(0). Sort -1, q, -17, -2 in decreasing order.\nAnswer: q, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -33*j + 8. Let y be z(0). Solve y*q - 3*w + 5 = 7*q, 0 = -w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/286 and -107\/52?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 71, -7388, -4, 1 in increasing order.\nAnswer: -7388, -4, -3, 1, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 i when three letters picked without replacement from illflioollnliog?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 26. Let b be q(5). Let n be (-6)\/(-4)*(-8)\/(-6). Put b, -1, n in ascending order.\nAnswer: b, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1721.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/45 + 1664\/(-198) - (-2)\/11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10107841771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 - p**3 + p**2 + p + 35. Calculate c(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or -242\/5?\nAnswer: -242\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a gram in milligrams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(96) + sqrt(6))\/sqrt(2)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 + u + 4. Let q(z) = 12 - 9 + 5 - 53 - 60 + 6*z. Let b be q(18). What is c(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 37*w - 21. Let p(j) = -19*j + 10. Let g(z) = -6*n(z) - 13*p(z). Suppose 0*c - 1 = -3*c - 4*d, 3*c + 2*d = 5. Is 12 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*x - 117*x + 39*x)*(-4*x - 4*x + x) to the form t*x + d + w*x**2 and give w.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310218833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 689749660 a multiple of 1528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 4*y**6\/15 + y**3 + 2*y + 4. Let l(z) be the first derivative of v(z). Find the second derivative of l(j) wrt j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 34*c + 31. Let l be t(-16). Let i be l\/(-2) + (-3)\/(42\/(-203)). Solve -2*z = -5*z - i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-1)\/3*(-54)\/(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 31249*q**2\/2 - 122070312*q + 122054688.\nAnswer: -(q - 15624)**2*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055061 to six decimal places.\nAnswer: 0.000551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/2 (b) -1.97 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/3571, -34 in decreasing order.\nAnswer: -3\/3571, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-1\/4)*d*d)\/d)\/d)**12)**(8\/7)*(d**0)**(-50)*((d\/(d*d**(-1)))\/d)**30 assuming d is positive.\nAnswer: d**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3) + 30\/(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -54, -60, -30, 48, 186, 396?\n\"Answer: 2*o**3 - 44*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5096 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0*a**5 - 2*a**5 - 1)*(-5 + 3 + 0).\nAnswer: 4*a**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 23) + 29 + (0 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65.05 and -0.06?\nAnswer: 3.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 1557*g**5\/20 + 2983*g**2\/2 - 14*g - 144. Differentiate y(r) with respect to r.\nAnswer: 4671*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + 166*d - 690. What is the tens digit of y(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:51 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 11:46 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - v = 5*p - 8, -16 = -4*p - 4*v. Solve 0 = p*u + 3*y - 5, u - 3*y - 6 = -1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 15*x - 4. Determine j(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -785, -1566, -2347, -3128, -3909?\n\"Answer: -781*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 716890692*f**3 - 743604795 wrt f.\nAnswer: 2150672076*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/6 + 32*p**4\/3 - 56*p**3\/3 - 365*p**2\/3 - 863*p\/6 - 155\/3 = 0?\nAnswer: -1, 5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 1, x: 2, w: 1}. Give prob of picking 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 24*l + 3*p - 15 = 0, -2*p = -10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 1742*z - 156473. Give p(-95).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25.76405km?\nAnswer: 25764050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.01082 and 6\/215 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:38 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826 = -2*b - 3*t - 879, 3*t + 31 = -b for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 24*y**2 - 61*y - 129. List the prime factors of n(-15).\nAnswer: 2, 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047094327 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 164 or 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 89 - 1265. Let x = 134 - a. What is the highest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4082992 to the nearest integer?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2625, -3\/2, -5, 0, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.03 (c) 0 (d) -8\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.7. Let r be (-4)\/4 - (-16)\/14. Sort r, q, -4\/3 in descending order.\nAnswer: q, r, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:45 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -3 - -4 - 3. Suppose -3*u - 3*p = 21, -3*p - 15 = u - 0*p. Which is the third smallest value? (a) 5 (b) 1\/11 (c) z (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 9. Let a be w(7). Let k be 0 + 1 - (1 + a). Find the third derivative of g**2 - g**4 - k*g**2 + 3*g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = -5*f - 3*r, -163 = 4*f - r + 273. Let m = 10 - -4. Let q = m - f. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 575345684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 u when four letters picked without replacement from {o: 2, u: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11519047, 23038093, 34557139, 46076185, 57595231?\n\"Answer: 11519046*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -138. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 621 and 486.\nAnswer: 11178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**5 - 72*s**4 + 124*s**3 + 72*s**2 - 128*s = 0?\nAnswer: -1, 0, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -682, -1390, -2094, -2794?\nAnswer: -3490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881\/3044 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/78 (b) 0.5 (c) -5 (d) 0.91 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*m**2 - 313*g**3*m + 1542*g*m**2 wrt g?\nAnswer: 6*g*m**2 - 1878*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -9740*k**5 + 155888*k**4 - 760488*k**3 + 1094624*k**2 - 482636*k + 2352 = 0. What is k?\nAnswer: 12\/2435, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-15) + (-22)\/(-10). Let q = -16 - -70. Let w be q\/12 + (-2)\/(-4). Put 3, w, x in increasing order.\nAnswer: x, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22973217 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - -0.36. Let p = 0.831 + -1. Let z = p - -0.069. Sort y, -1\/4, -0.6, z in decreasing order.\nAnswer: y, z, -1\/4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -1\/5, 4, 8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 9*y + 20. Let m be l(6). Solve 2 = -2*n - 3*u + 1, n + m*u = -2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-364)*-126*(-5)\/(5\/6)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*d + 137, -5*d - g + 210 = -4*g. Let z be (2 - 150\/d) + 2. Let t = 1.9 - 2. Which is the closest to t? (a) z (b) -0.2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13515712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -127, -140, -153, -166, -179?\n\"Answer: -13*t - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 491640 and 11832?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (77\/84 - 15\/12)\/(16\/(-7392)). What is the highest common factor of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1335 divided by -1.\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2652433 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7208\/21 - 153\/14. Which is greater: u or -355?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25796725 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55072?\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 16. Let o(u) = -u**3 - 20*u**2 - 21*u - 44. Let h be o(-19). Let g be h\/(12 - 6) - -45. Calculate the highest common factor of x and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652004 is divided by 99.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 31*n + 111. What is a(-5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621*r - 319*r - 310*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -532.8 + 533. Sort 2\/13, -3, w, -6 in decreasing order.\nAnswer: w, 2\/13, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4941288 millennia to decades.\nAnswer: 49.41288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5513235*a**3 - 122585*a**2 - 3*a?\nAnswer: 33079410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(567))\/sqrt(9) - sqrt(567)*-1)**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7676103?\nAnswer: 3, 2558701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31805467.\nAnswer: 31805467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 1228848530?\nAnswer: -1228848525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8202 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2833.\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + 0.5. Let p = 59 + -62. Which is the closest to -0.1? (a) s (b) p (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.25 (b) -4 (c) 0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117963?\nAnswer: 3, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/90 - 35*t**4\/6 - 211*t**3\/9 + 1473*t**2 - 2. Factor l(i).\nAnswer: 2*(i - 211)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -473 + 473. Suppose -15*n + 20*n + 5*y - 280 = 0, -5*y = u. Is n a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 788275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*(-160)\/(-120)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 112\/(-14)) + -21. What is the closest to q in -0.2, -0.222, 5\/3?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -67, -49, -13, 47?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23413 divided by -39?\nAnswer: 1801\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (33\/(-9) - -3)\/(14\/(-357)). Let l(y) = 25*y + j*y - 62*y + 2 + 18*y. Let s(f) = f**2 + 5*f - 5. Give -5*l(k) - 2*s(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 878*l - 8. Let n(c) = -58829*c + 534. What is -267*k(d) - 4*n(d)?\nAnswer: 890*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j**5\/6 + 77*j**4\/6 - 59*j**3\/6 - 161*j**2\/6 - 2*j = 0 for j.\nAnswer: -1, -1\/13, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 168, 338, 506, 672, 836, 998?\n\"Answer: -q**2 + 173*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.83 - -58.83. Let c = -58 + q. Let h = -1 - c. Sort h, -0.5, -0.4.\nAnswer: h, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.4 + -71.1. What is z rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*w - 26, -9 = -j + 5*w + 5. Suppose -j*l - r = -3*r - 702, -3*r = -l + 188. Is l a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:31 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175 or 140100?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 + -94. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1268849796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*j - 284 = 0, -19*j + 568 = 4*o - 21*j. Calculate the remainder when o is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12222100 (base 3) to base 9\nAnswer: 5870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (46 - 40)) + 22 + 90.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-327)\/36*-3)\/((-642)\/2568).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 16) in base 5?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -34*j**3 + 3092*j**2 + 171*j + 992. What is v(91)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 78 = -2*r + 8*q, 14*q + 3*q = -3*r + 21*q + 117 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -662 (base 16) in base 5?\nAnswer: -23014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660317360 divided by 132063472.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s - 41 = 59 - 376 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 77*o + 40. Let d be f(8). Suppose 2*p = 5*h + 245, -5*p + h - 3*h + d = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*w**3 + 171*w**3 - 505*w**3 + 163*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -1735, -5632, -13255, -25852?\nAnswer: -44671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/33 and 25\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*-5*-2*sqrt(1088) - -2*-2*(sqrt(1088) + 0))**2 + 2.\nAnswer: 8460290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 10 + 28\/(-3) + 3. Which is bigger: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -153 + 319. Let q = -1496\/9 + k. Let s = q + -1\/9. Which is the nearest to -0.3? (a) 2 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 + -14?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704919045 a multiple of 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 3715*v + 765698. Calculate g(-219).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 240, 5\/2, -0.2, 4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -2 - (11 + -1 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37830 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1331) + 0) + sqrt(1331) + sqrt(1331) + sqrt(1331).\nAnswer: 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-6 - -6)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 7 + (1 - -6 - 27).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96a - -5394c?\nAnswer: 544b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 2. Let l(u) = 3766*u**2 - u + 3634. Let y(a) = l(a) + 9*t(a). Find the second derivative of y(n) wrt n.\nAnswer: 7550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332403 (base 6) to base 16\nAnswer: -6c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/(p\/(p**(2\/15)*p)*p))**(-14\/5)\/((p*p*p*p**(-1\/7))\/p**(-6))**11 assuming p is positive.\nAnswer: p**(-60166\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 253 times 0.33\nAnswer: 83.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 16424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uukeeuefeffuttfttufu.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 4266.\nAnswer: 46926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/3 + 61\/33. Let v be (11\/5 - (6 + -4)) + 76\/(-180). Which is the biggest value? (a) v (b) 3 (c) 5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 - -1077\/11. Let w = 2792\/63 + -395\/9. Sort -0.2, p, w.\nAnswer: -0.2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from udavvddvvvrrrrr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/70)\/(36\/(-20)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 46\/5, -212, 0.2?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 19*y + 40. Let w = -24 + 29. Suppose -s = w + 7. Does 16 divide g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*n**3 - 2*n**2 + 2785*n + 38205197 wrt n.\nAnswer: -81*n**2 - 4*n + 2785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 2, -16, -6, -94 in ascending order.\nAnswer: -94, -16, -6, 2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 23*i - 362. Let p be l(10). Calculate the greatest common divisor of 154 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5 + 2*c**4 + 4*c**3 - 4*c**2 - 2*c + 2 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)*m\/m**11)**(-10)*m**(2\/15)\/((m\/(((m\/(m*m\/(m*m**(-3)*m*m)))\/m*m)\/m*m))\/m)*m**(-5)*m\/(m*m**(2\/11)) assuming m is positive.\nAnswer: m**(36952\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = 2*h. Let n(t) be the second derivative of -t**5\/20 - t**4\/6 + t**3\/6 - t**2 - 51*t - 1. Give n(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*n**3 - 27453*n**2 - 272756 wrt n?\nAnswer: -12*n**2 - 54906*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55056556 is divided by 151?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**3 + 331001432*p**2 + 1324005680*p + 1324005664 = 0.\nAnswer: -82750354, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1744125*y + 1744175*y = 1700 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*j - 4*c + c, 0 = -3*j + 4*c - 34. Let y = -1 - j. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -236190 to the nearest one thousand.\nAnswer: -236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 120199\nAnswer: 36059.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (324 - 1907*b - 115 - 105 - 4*b**2 - 108)*(0 - b + 0) as o*b**2 + l + v*b**3 + u*b and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5364732 is divided by 1788216.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -203. Let q be 8*(-5)\/((-10)\/8). Suppose 5*b - 38 = q. Calculate the least common multiple of j and b.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3234 and 23\/66.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 24 = q - 4*q, 5*y + 4*q = 1. Let d be ((-18)\/(-12))\/(y\/(-4)). Let k(i) = -4 + 4 + 4*i + 2*i**d + 2. What is k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let y(k) = 13*k**2 - 5*k - 35. Let m(x) = 6*x + 2495*x**2 - 3*x - 2503*x**2 + 18. Let s(p) = -5*m(p) - 3*y(p). What is f(s(w))?\nAnswer: w**4 + 30*w**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14762 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5780556 is divided by 94?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434 is divided by 712.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -572*o - 325*o - 746*o - 49290 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5146080473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 124 - 36. Suppose t + 34 = 4*d + 12, -16 = -2*d - 2*t. Calculate the remainder when c is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3820\/140 - 7 - 4\/14. Solve -h*t + 52 = -28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/29 - -2\/145. What is the closest to 1 in v, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1854 and 3296?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(468) + -1 + sqrt(468) + 1)**2 + (sqrt(130)\/(1*sqrt(10)) - (sqrt(13) + 1)*-6))*-2.\nAnswer: 70*sqrt(13) + 18780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -13 - 1\/6*j**4 + 0*j**3 - j + 0*j**2. Let d(l) = 6*l. What is d(m(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 + 35*y + 36. Calculate r(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10430*b**3 + 10700*b**2 wrt b?\nAnswer: -62580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/144 - o**5\/40 + 5*o**4\/12 - 13*o**2. Let g(a) be the second derivative of n(a). Calculate g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66\/13 in 1\/4, -9, 0.5, -2, -1\/6, 29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (11 - -6)) + (-1 - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-330)\/(-616) + (-2)\/8. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23268577 by -11279.\nAnswer: -2063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = 351 - 617 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 3*c**3 - 3*c**4 + 5*c**4 - 9 - 9 + 2*c**2 to the form s + m*c**4 + i*c**2 + l*c**3 + a*c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -23*y**3 + 3*y**4 + 1 - 3*y - 1 + 9*y**2 + 14*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11020*u**3 - 2 + 11886*u**3 + 6039*u**3.\nAnswer: 28945*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -5)\/(3\/(-2)). Calculate the remainder when (-591)\/(-12) - 1\/w is divided by (-693)\/(-54) + 2\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n - 15*n - 45*n + 3*n as p*n + j and give p.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -0.037?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + 71. Let j = -62 - a. Solve -g = -5*s + 21, -g = -j*s - 4*g + 32 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562695 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + p**2 + 8693800. Let r be i(0). Suppose -4*s = -9*s + r. Let c = s + 4361240. What is c rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -102. Sort -4, 5, c, -1 in increasing order.\nAnswer: c, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/((z\/(z*z*(z\/(z*z**(-1\/5)))\/z))\/z*z*z))\/z**(-2))\/(z\/(z\/z**(-2\/3)))**(-2\/15))**(7\/5))**(-2\/13) assuming z is positive.\nAnswer: z**(-266\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80 - 19) + 80 + -3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176858 is divided by 176568?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1026 - 690 = -33*d. Let i(x) = x**2 + 3*x + 3. Let o be i(-5). What is the highest common factor of o and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 4. Let g be k(16). Suppose -11*m = -g*m + 7. Let x = -3 - -5. Solve 3*p - 2*d + 0*d = -m, -x*d = -5*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 11) to base 10.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2170)\/(-105) - 20)\/(2\/(-51)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 84. Let z = -693 + 692.6. Suppose -11 = -4*t + l + 4, 0 = 5*t - 4*l - 27. Which is the nearest to -0.1? (a) t (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 4*m - 2*m + 10*m + m**3 to x + o*m**2 + f*m**3 + p*m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrfb when four letters picked without replacement from {b: 10, j: 1, f: 1, z: 1, r: 2, a: 5}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-2)*360\/(-54). Let c be 3\/(y\/(-68)) - (-3)\/15. Suppose 3*w = -9 + 21. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 6. Suppose d - 62 = -2*u, u + f = 3*d + 43. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - u + 66 = 2*n, -5*n = -2*u - 89. Find the second derivative of -33*r - 33*r - 27*r - n*r**3 + 79*r wrt r.\nAnswer: -102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77679 or -77682?\nAnswer: -77682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5*b**(-9))\/((b\/b**6*b)\/b*b**2\/b))**(-17) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2010\/756443 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 3*f - 32*f - 11*f. Let d(b) be the first derivative of b**2 - 4. Determine d(h(m)).\nAnswer: -98*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/101?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -649 times 0.1\nAnswer: -64.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Suppose m - 11*x = -9*x - 12, -m - 3*x = 2. Determine g(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 8*l**2 - 9*l + 6. Calculate s(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6391.\nAnswer: 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**6\/720 - a**5\/120 - a**4\/6 - 3*a**2. Let x(u) be the second derivative of k(u). Determine x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 7*n**3\/6 - 17*n**2 - 16*n. What is the units digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/2 - v**3\/6 - v**2\/2 - 157*v - 190. Let x = 3 + -5. Determine k(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 92*p**3. Let x be j(-1). Round x to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*g - 5*h, -5*g + h + 141 = -2*h. Suppose 0 = 1814*c - 1781*c - 99. Solve -b + 5*k + 12 = 0, -c*b - g = 2*b + 5*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -3\/56*f**8 + 0*f**5 + 0*f**6 + 0 - 2*f + 0*f**7 + 5\/12*f**4 + 0*f**2 + 0*f**3. Find the third derivative of x(s) wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 238 = -4*z, 4*z - 134 = -4*h + 114. What is the smallest common multiple of z and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13 = -3*x + 18, -5*x + 5 = -5*o. Find the third derivative of 0*s**3 + 2*s**x - 3*s**3 + 3*s**3 + 5*s**2 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3*z - 54311672*c**3 + 28*c**2*z - c*z - 30773*z wrt z?\nAnswer: -c**3 + 28*c**2 - c - 30773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/5 of a decade?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Suppose -120*n = -122*n - 564. Let w = -276 - n. What is the greatest common factor of w and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31468 divided by -3?\nAnswer: -31468\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5 - 4*y**2 - y**3 + 3*y**3 + 9*y + 3. Let z be -7 + 8 + (-12)\/(-4). What are the prime factors of l(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.917891 minutes in nanoseconds?\nAnswer: 415073460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 460829440 to the power of 1\/2, to the nearest integer?\nAnswer: 21467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14*8 - 1828845\/(-189) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 101471832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -103. Calculate the remainder when l is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549\/(-19276)*-79*16\/3*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from pcanpcbapal?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s**3 + 4*s**2 + 20*s + 77. Is n(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 11:30 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2834, -4714, -6612, -8528?\n\"Answer: -9*r**2 - 1853*r - 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**3 + c**2 + 32*c + 113. Is q(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7700 * 0.3\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + (sqrt(4) - (-2*sqrt(256) + sqrt(256))))\/(-1*(sqrt(2) + (sqrt(2) - sqrt(8)\/sqrt(4)))).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/((-9)\/(-75)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 13*n**2 + 6*n - 48. Let y(p) = p**2 + p + 1. Let w(t) = j(t) - 6*y(t). Let b(c) = c**2. Calculate w(b(i)).\nAnswer: 7*i**4 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55060 - 0?\nAnswer: -55060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 - 53 = 0. What is the tens digit of (q\/(-4))\/((-6)\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001453511 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2, -3*z + 61 + 57 = 5*n. Suppose -81 = -n*l + 80. Let r(i) = -i**3 + 8*i**2 - 10*i + 8. Give r(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 3 + 204*x - 196*x)*(2*x + 3*x + 2*x).\nAnswer: 56*x**2 + 84*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*j**2*l + 2*a**2*j**2 + 413*a**2*j*l + 168*a*j**2*l + 2*a*l wrt a?\nAnswer: -2*j**2*l + 4*j**2 + 826*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7184 and 423407?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 45 = 5*s, 7*v - 3*v - 8 = 3*s. Let j = -1 + 1. Suppose j = -v*h + 95 + 110. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let w(o) be the second derivative of 1\/3*o**3 - 1\/2*o**2 + 1\/4*o**4 - 2*o + 1\/20*o**5 + 0. What is w(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 40*h + 137. What is the tens digit of n(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 8*l - a + 19, 9 = 3*a. Solve -6 = -l*f + 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1179 or 1187?\nAnswer: 1179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 336393319 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.62 rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2936345, 2936347, 2936349?\n\"Answer: 2*i + 2936343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1077737236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and 9.5953789139?\nAnswer: 3.5953789139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**(-9\/11)*v)\/v**(-2\/53)*(v\/(v\/v**27))**(4\/15) assuming v is positive.\nAnswer: v**(30373\/2915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 411789 divided by 411789\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -5)\/(6\/(-4)). Let n = 66 + -62. Suppose -n*a + 4*h = a - 30, a = 3*h + 17. Solve a*o = -3*j + o - z, -2*o + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285234313 is divided by 6608.\nAnswer: 6601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 32*f**3 - 136*f**3 - 5*f.\nAnswer: -168*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 9, 31, 71, 135?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -351235859 + 351236831.999201. Let r = b - 973. Round r to 5 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807512613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171*p - 1205 = 930*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 2:29 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 290*o**4\/7 - 701*o**3\/7 - 1781*o**2\/7 - 334*o\/7 + 456\/7 = 0.\nAnswer: -1, -57\/58, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 6421 + 5175. Let u = q + 1611. Is 3\/(-5) - u\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-21) - 4\/(-14). Solve -1 = h + 3*j - i, j = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 806.2703 (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/2)\/(15\/(-10) + 2). Let w(b) = -8*b + 44. What is the hundreds digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 582441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**2 + 18*t + 9. Let l(j) = -36*j**2 - 91*j - 46. Let z(q) = -31*c(q) - 6*l(q). Determine z(-14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**4 - q**3 + q**2 + q. Let v(k) = 58*k**4 - 3*k**3 + 3*k**2 + k - 273. Let m(d) = 3*u(d) - v(d). Find the first derivative of m(b) wrt b.\nAnswer: -244*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((229827\/1491)\/83)\/((-2)\/(-42))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33730 divided by -10\nAnswer: 3373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 11\/2 (c) 3 (d) 26 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 0.1 (c) -1163 (d) 2\/3 (e) -0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:40 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 1\/15*h**5 + 0 + 0*h**3 + 2*h**2 + 0*h + 1\/12*h**4. Find the second derivative of x(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -311, -787, -1539, -2615, -4063, -5931?\nAnswer: -8267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*q**5 - 2108*q**4 - 1216896*q**3 - 221184*q**2 = 0. What is q?\nAnswer: -192, -2\/11, 0, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 2, g: 1, r: 2, h: 1}. What is prob of sequence bh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3 = 4*q, q = 4*v - 0*v - 9. Let r be 31\/5 + v\/(-15). Let x(d) = -6455 - 6446 - 6*d + 4*d + 12898 + 3*d. Calculate x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0*r**3 + 0 - 1\/14*r**8 - 13\/6*r**4 + 0*r**2 + 0*r**5 + 0*r**7 + 23*r + 0*r**6. What is the third derivative of x(u) wrt u?\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4902 times 0.2\nAnswer: -980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + (42 - 35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310868 > 3310622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37701 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2405*j**2 + 4*j + 2181. Let q(m) = 2408*m**2 + 5*m + 2178. Let l(y) = -4*h(y) + 3*q(y). Differentiate l(i) wrt i.\nAnswer: -4792*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 12*b**2 + 28*b - 4. What is n(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -16. Let y be (-4)\/(-6)*(-4 + -113). Let i be (-13)\/y - 23\/(-6). Sort -3, f, i.\nAnswer: -3, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3301 - -10?\nAnswer: -3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-435)\/(-145))\/(2*(-21)\/1484).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154835435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 6. Let b be (-4)\/(-30) - ((-2491)\/(-795) + -1*3). Give o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164367 and 1533.\nAnswer: 11998791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4cb82a1 + -4?\nAnswer: 4cb829a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1095 - 602 = -4*y + 5*t, -t - 841 = -2*y. What is the common denominator of (-38)\/y - (-18)\/8 and -101\/2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o**3 - o**2 - 1. Let v be q(-2). Let d = 93 + 56. Let c = d + v. What is the greatest common divisor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, 1, 0, -1 in decreasing order.\nAnswer: 3, 1, 0, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.41 - 0.01. Let v = 16 - 13. Let q = v + -9. Sort q, b, 0 in ascending order.\nAnswer: q, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1149, 2321, 3551, 4869, 6305, 7889?\nAnswer: 9651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/105 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:42 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1300) + (sqrt(1300) - (sqrt(1300) + -1 + sqrt(1300)))*5)**2.\nAnswer: -560*sqrt(13) + 20849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-16))\/((12\/4)\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, -2\/91, -2\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v*x**4 + 2*v*x**2 + 297*v*x + 370*x**4 + x**2 - 1 wrt x?\nAnswer: -72*v*x + 8880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-147)\/(-2))\/(((-36)\/(-24))\/3). Calculate the highest common factor of z and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*i + 50. Let d(u) = u**2 - 8*u + 8. Calculate d(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 6*y + 7. Let w be p(-6). Let t = -8 + w. Let i(r) = -53*r + 2. Is 7 a factor of i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2037 - 2057) + (5 - 75).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*n - 153 + 13 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5417 + -5389. Calculate the greatest common factor of s and 450.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -175683, 0.1 in descending order.\nAnswer: 4, 0.1, -175683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*o*p**3 + 1570*o*p**2 + 305394*o wrt p.\nAnswer: -231*o*p**2 + 3140*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15380745.1 - -15381017.098814. Let l = 272 - a. What is l rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - c**2 + 1)*(0 - 1 + 3) + (20 - 3*c**2 - 20)*(-2 - 2 + 3).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -17. Suppose 12 = -4*g, u*g = -5*b + 43 + 51. Suppose -4*x - 652 = -4*o, 2*x - b = -2*x. Calculate the greatest common factor of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 - 192.3. What is the third biggest value in n, -4, 0.5, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = f - 11*u + 7*u, -5*u + 15 = -f. What is the least common multiple of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.228 and 748?\nAnswer: -170.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*sqrt(90) + sqrt(90))\/sqrt(3))\/sqrt(6).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 9. Suppose 1188 - 202 = 4*p + 5*r, 4*r + y = 0. Let x = p - 155. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -53.926. Let o = u + 0.187. What is o rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - h - 224, -k - 4*h + 92 = 0. Let w be 12\/30 - (-568)\/5. What is the highest common factor of k and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 817 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d - 4 = 3*u, d + 10 = -5*u. Let h(q) = 10*q - 14. What is the least common multiple of h(2) and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -192, -203, -218?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2843*p - 25656. What is b(-9)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206\/3 - 68. What is the nearest to l in -5, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 = 9*f - 208 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -295, -545, -865, -1255, -1715, -2245?\nAnswer: -2845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehqveeveeqhvheeqheeh. What is prob of picking 2 h?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 5*j + 3*j. Let c be 6 + 27\/18 + (-6)\/(-4). Let t(v) = c*v + 0*v - 8*v. Give t(f(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1250 + 1250 + 466*c**2)*(-3*c + 3*c + 3*c) - c**3 + 2*c - 2*c - 3 + 3 - 6*c**3 as s*c + n*c**2 + w*c**3 + r and give w.\nAnswer: 1391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (8 - -2) - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.192609 * 1.1\nAnswer: 0.2118699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5151161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/2*(-157)\/471\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -817.6705 rounded to the nearest integer?\nAnswer: -818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**3 - 141*j**2 - 81*j + 194. What is k(24)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 = -7. Let h be 667\/5 + (15 - -2) + 7360\/(-400). What is the highest common divisor of p and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40957800 and 2832.\nAnswer: 81915600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:07 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-2))\/((3\/21)\/((-44)\/(-176))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c**3 + 46*c**3 + 3*c**3 + 478*c**4 - 76*c - 42*c**2 - 238*c**4 - 238*c**4 = 0 for c.\nAnswer: -19, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(4 - 0)*-1. Suppose -a*n + 20 = n. Let u(i) = i**2 + 5*i - 2. What is the lowest common multiple of n and u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.9 - -0.9. Let i = 0.01163 + 0.48837. What is the second biggest value in -1, g, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*a, 5*b + 43351 - 116352 = 2*a. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 + l + 1. Let p(d) = 80*d**3 + 16*d**2 + 16*d + 16. Let c be (-16)\/(-6 - (0 - 4))*-2. Calculate c*j(q) + p(q).\nAnswer: 64*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 5. Let c(n) = 6*n + 6. Let s(l) = 4*c(l) + 5*x(l). Let b be s(-1). What is the units digit of 9 - -1 - (b + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, -1, 5, -6 in decreasing order.\nAnswer: 5, -1, -3, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -21*v**2 + 4. Let x(d) = -2*d**3 + 78*d**2 - 73*d - 118. Let n be x(38). Let b(h) = 272*h**2 - 51. Give n*b(g) - 51*o(g).\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(2\/23)*m)\/m)\/m**(-7\/2))\/(m**(-5\/2)\/m*((m\/(m**(-1\/6)*m))\/m)\/m))**(-11\/6) assuming m is positive.\nAnswer: m**(-13541\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 25*g**7\/42 - g**6\/9 - 103*g**5\/60 + g**4\/2 + 14*g**3\/9 - 4*g**2\/3 + 7*g. Suppose a(z) = 0. What is z?\nAnswer: -1, -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3, 79*b - 7 = 78*b - 2*g. What is the closest to 0.3 in -7, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.42 millennia in centuries?\nAnswer: 7244.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1558068 divided by -1884\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 8. Let n be g(-5). Let d(r) = n*r**2 - 2*r**2 - 4*r - r**3 + 3*r + r**2. Let y be d(2). Let p(b) = -b**2 - 6*b + 4. Calculate p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*t - 30*t - 104*t + 5124 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 149.\nAnswer: 13\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 619058, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0414 rounded to 2 decimal places?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1231*m - 2*m**3 - 1231*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3391 + -2178. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-7 + 3) - 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*k*u*y - 587*i**2*u*y - 42*i**2*u + i*k*y + i*k - 33*i*y - 15*k + 38*u*y + 3*u - 2*y wrt i?\nAnswer: -4*k*u*y - 1174*u*y - 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -218*d + 48*d + 118*d + (2 - 3 + 2)*(-7 + 7 - 30*d) as b*d + t and give b.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*v - 25, -3*v - 20 = -t - 7*v. Suppose 6*k - 396 = -t*k. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/(25\/150). Suppose 4*f - 42 + h = -5*b, 2*f = 5*b - 21. Put -5, f, 1, 5 in descending order.\nAnswer: 5, f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/24 - (-7 - -6). Let d(w) be the third derivative of 0*w + 0*w**3 + 0 + f*w**4 - 2*w**2. Let l(i) = 3*i. Determine d(l(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8 + 1)*(5 - 3 - 2*z - 3).\nAnswer: 26*z + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37428738?\nAnswer: 2, 3, 6238123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37749253?\nAnswer: 367, 102859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201 + 201.5. What is the second smallest value in 4\/5, 0.03, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(68) - (1*sqrt(68))**2)) + -3 + sqrt(2057).\nAnswer: 10*sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 - 9. Let q(w) = -w**3 - 3*w**2 + 2*w + 3. Let l be q(-3). Let d be b(l). Suppose 2*t - 55 - 31 = d. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24843 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.1? (a) 4\/13 (b) 112 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -6*w - 34. Solve 0 = 18*j - w*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -282*n**4*s**3 + 218*n**2*s**3 - 40*s**3 - 122*s**2 + 1 wrt n?\nAnswer: -1128*n**3*s**3 + 436*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41375077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*a + 977, 1156 = -2*i + 3*a + 3135. Let j = i - 745. Is 42 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2043058, 8172257, 18387590, 32689057, 51076658?\nAnswer: 73550393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -45a?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 - -399328171324\nAnswer: 399328171322.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293 - -305.9. Let d = 13 - g. Let i = 0 + 3. What is the third smallest value in i, 0, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2864)\/(-26) - (-14)\/(-91) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165821 - 165697. Calculate the remainder when g is divided by (-25)\/(-1) - (0 + 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/53595?\nAnswer: 2\/53595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g + 119. Let w be h(-13). Suppose 3*u - 20 = -2*u. Solve -w*q + u = -0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1472, -1727, -2150, -2741, -3500, -4427?\n\"Answer: -84*j**2 - 3*j - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a microsecond in nanoseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 984988243.5 rounded to the nearest one hundred thousand?\nAnswer: 985000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u**3 - 21*u**3 - 21*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14997 is divided by 14838.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.273251 decades in months?\nAnswer: 392.79012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64170 divided by -10.\nAnswer: 6417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355 (base 9) in base 2?\nAnswer: -1111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-256702)\/(-50) - (-37)\/(-925). Solve x*j - 5128*j = 48 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/5 + 6\/(-10). Let j be 1 + s\/(2\/(-1)). Suppose -n = -3*k - 12, -3*k - 8*n + 6 = -j*n. Sort -4, k, -5 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgpgpllllligglgizi. Give prob of sequence pl.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 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: -0.6*0.049273\nAnswer: -0.0295638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/72081633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 10*s**2 + s + 2*s + 0*s in the form m*s**2 + o + t*s and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*f + 1674 - 52665. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25305*x + 50624*x - 25318*x + 72*x**2.\nAnswer: 72*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Let j be (0 + 1)\/(3 + -2). Let s(p) = -j + 1 + p. What is d(s(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -215\/17?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/10 - 13*k**4\/6 + 50*k**3\/3 - 56*k**2 + 67*k - 1. Factor b(c).\nAnswer: 2*(c - 7)*(c - 4)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 + 8 - (11 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 409.3699 years?\nAnswer: 4912.4388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3058720976 to the nearest integer?\nAnswer: 55306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 109\nAnswer: 5\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 20*p**2 + 51*p + 21. Calculate f(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2796750?\nAnswer: 2, 3, 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, -16, -63, -128, -217, -336, -491, -688?\n\"Answer: -t**3 - 28*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286*z**2 + 9*z**3 - 146*z**2 - 75*z - 137*z**2 - z**3 wrt z.\nAnswer: 48*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from zzoatyo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 44) + 12 - (7 - -7).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224395 is divided by 1122.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(4 + 33\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.69 and -3.\nAnswer: -131.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7621 + 91688*t**2 + 7621.\nAnswer: 91688*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*s + 1714*m**2 - 128401*m*s - 88976722*s with respect to m.\nAnswer: -2*m*s + 3428*m - 128401*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 - 115. Suppose -3*n + 9 = -p. Solve n = -6*u + 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - u + 3. Let b(z) be the first derivative of 0*z**2 + 2\/3*z**3 - 4 - 2*z. Determine -4*b(c) - 3*o(c).\nAnswer: c**2 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(v - v + v) - 4*v - 2*v - 8*v)*(-9*v + 9*v - 15*v**3).\nAnswer: 195*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19243990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let m(d) be the first derivative of -3 + 1\/2*d**2 + 0*d. Calculate q(m(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 2*f - 3. Let k be v(-2). Let b(l) = -7*l - 2. Let s(u) = -8*u - 2. What is k*b(o) + 6*s(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -5. Let h = -40 + b. Let z = h + 59. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from qqidqlddiqqs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -619 (base 13) in base 12?\nAnswer: -724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 8\/5*k**4 - 8\/5*k**2 - 4\/5*k**5 + 4\/5*k + 0*k**3 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13*w**2 - 7*w. Let m(h) = 12*h**2 + 8*h. Let s(x) = 4*m(x) + 3*q(x). Find the second derivative of s(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 15*s**2 + 14*s - 9. Let d be i(-14). Let z = -8 - d. Put 2, 0, z in descending order.\nAnswer: 2, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 2*j - 3. Let l(p) = -281*p. Let i(b) = 282*b + 1. Let s(w) = -i(w) - l(w). Let t(g) = g + 1. Let f be t(-7). Calculate f*s(d) + 2*r(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -44*c - 4. Let k(o) = 15*o + 3. What is -7*k(a) - 2*q(a)?\nAnswer: -17*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4 - 6*f - 3*f - 17. Let a(i) = -5*i - 7. Let y(k) = -128*k - 523. Let z be y(-4). Calculate z*a(v) + 6*r(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8 and -31\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1734 + 1734 + 22*m**3)*(-3 + 4 - 2).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:40 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/51, -2\/685, 0.5, -1\/6?\nAnswer: -2\/685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -22924*c + 293. Is x(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25231*d**3 - 617 + 617 + 25226*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*j + 253 = -309*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 748115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538987622?\nAnswer: 2, 727, 370693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 2881 - 136 = -170*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -2*a**5\/45 + 56*a**4\/9 - 872*a**3\/27 + 48*a**2 - 2393. Factor i(c).\nAnswer: -2*c*(c - 108)*(c - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.184 from 1529.\nAnswer: 1528.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-5 - (-4 + 4)). Let s(x) = x - 1. What is s(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 4*p**2 + 2*p - 1. Let i(j) = j**2 + 7*j + 6. Let k be i(-5). Give w(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = 3*p - 4*p, -5*u = -5. Find the common denominator of (p + 0 - 250\/220) + 3 and -23\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 3*p**2 + 2*p + 2. Suppose -4 = -2*d + 2. Let s be ((-1)\/d)\/((-2)\/(-6)). Let j = -1 + s. What is g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.50141 to 2 dps.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1097 (b) -26\/3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*j - 54*j + 88*j.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 - 2*s - 16. Give m(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.24 minus 0?\nAnswer: -40.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + 2*(sqrt(49)\/((sqrt(70)*1)\/sqrt(10)) - (6*sqrt(63)\/sqrt(3))\/sqrt(3)).\nAnswer: -10*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 15\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 1. Let b be k(-3). Suppose 21 = 2*v + b. Let 4*t**3 - 3*t**5 - 8*t**3 + v*t**3 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + 6*j**3 - j**2 + 1 + j**2 - 4*j**3 to d*j + s*j**2 + w + l*j**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 711 = j - 5*c, -738 = 65*j - 66*j - 4*c. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z = -4, 5*z = 2*h - 3. Solve 6*l**2 - 3*l + 2*l**3 - 3*l**h - 2*l**5 - 4*l**2 + 1 + 3*l**5 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -2, 21, -6, 1, 2.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 1 + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*n + 7. Let q(a) = -a + 17. What is the lowest common multiple of q(6) and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25381463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -431\/6844558 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*o**2 - 4)*(6*o + 2*o - 7*o) + (-o - o + o)*(-o**2 + o**2 - o**2) + 1 - 1 + 2*o**3 + 2*o - 2*o + 2*o**3 - 6*o**2 + o**3 + 6*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + -0.2. Let w = -3 + u. What is the second smallest value in w, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) -0.2 (b) -0.3602 (c) -0.101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 12:56 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 119400 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 9. Find the third derivative of t**5 - t**5 - 4*t**q - 6*t**5 + 2*t**5 wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422725930 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 5098 = -9*m. Calculate the remainder when m is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1780 + -17?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t + 12 - 102. Let p be ((36\/t)\/1)\/(2\/(-15)). Let x = p + 45. Solve s + 5*k = 21, 3*s + x*s - 23 = -5*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 0 - m**3 - 3 - 4 - 4*m - 6*m**2 + 0*m. Let b be g(-6). What is the units digit of b\/3 - 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/10*5)\/((-60)\/160).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdg when three letters picked without replacement from {d: 1, g: 5, q: 7}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n + 35. Let g be f(5). Is g at least as big as -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 34. Let b(x) = -4*x**2 - 69. Let r(z) = -3*b(z) + 7*o(z). Let y(a) = -2*a. What is y(r(w))?\nAnswer: 4*w**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 2. Let c(y) = -1. Let l(d) = -2*c(d) + n(d). Let a(i) be the second derivative of 23*i**3\/6 + 4*i. What is l(a(z))?\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((-37)\/((-2886)\/65))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2 + 2. Let q be 0 + 6\/(-1 + -2). Let h be (-39)\/15 + (-2)\/5. Sort x, q, h in descending order.\nAnswer: x, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1805595196 to the nearest 1000000.\nAnswer: 1806000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115760790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0*s - 8*s**2 + 0 + 10\/3*s**3 + 1\/24*s**4. Let d be b(-17). Solve 8*n + 15 = d*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 + 3*m**2 + 4*m + 26 - 15 - 16 to u*m**2 + n*m + f and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/6 + 4*x**2 + 161*x\/6 + 39.\nAnswer: (x + 2)*(x + 9)*(x + 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/32273?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5729 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 1 + 0 + 5*z**2 - 13 + 7 + 7.\nAnswer: 9*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2194 - -3107. Let u = z - 905. Solve -u*g - 10 = -13*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -189861?\nAnswer: -4\/189861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 5. List the prime factors of b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11354868047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.68000225 + -1.6808. What is g rounded to six dps?\nAnswer: -0.000798","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/6))\/z*z*z*z**6*z*((z*(z\/((z\/((z**(-2)\/z)\/z))\/z*z))\/z)\/z)\/((((z*(z**(-4\/3)*z)\/z*z)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1)*(-3)\/(36\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -516, 0, -74 in descending order.\nAnswer: 0, -3, -4, -74, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-20 + -49 + 79 + (-28)\/1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2)*p))**10\/(p**(-2\/7)*p**2))\/((p**(-1\/2)\/(p**(-2)\/p))\/(p*p\/p**(-1\/13)*p**4\/p)) assuming p is positive.\nAnswer: p**(3797\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 2. Let w(x) be the first derivative of -9*x**2\/2 - 7*x + 4. Give -14*m(k) + 4*w(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/15 + 168\/20. Let a be (-2 - h\/6)*27\/(-15). Suppose -2*k + 5*q = -14, -a*q = k - 5*q. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-101566)\/(-12991))\/((-2)\/(-11)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 341596?\nAnswer: 341598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 - 57. Suppose 3*r + 2 = r - 4*j, -5*j = -5*r + v. What is the units digit of 794\/6 + 2\/r*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = 10 + 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -21 + 7 + (-5 - -5) - -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*g + 35 = 0. Suppose g*p + 2 = 5*p + 2*r, -r = -5. Let y(u) = u + 4. Determine y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40900000 rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 11) to base 13.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2658\/6187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + -1 + -2) - (-13 - -21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kllkkkkkkkkklk. Give prob of picking 1 l and 1 k.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -581770, -1163545, -1745320, -2327095, -2908870?\n\"Answer: -581775*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539 + -0.288.\nAnswer: -539.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 6186?\nAnswer: -6192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 117 + 23. Let p = 38 - d. Suppose 5*l = -4*s + 230, -p*l - 69 = -5*l + 3*s. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 216038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -5068 and -5064 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 65 = -3*k, -29 = 2*k + 4*a + 11. Let g be ((-63)\/k)\/(-7)*10\/(-12). Find i, given that 1\/2 + i**2 - g*i**3 - 5\/4*i = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (27 + -41 - ((-2 - -13) + -34))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12450 - -12358. Put 0, z, -3, 11, -5 in decreasing order.\nAnswer: 11, 0, -3, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 5, j: 5}. What is prob of picking 1 i, 1 j, and 1 l?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.43151 and 1.\nAnswer: 1.43151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 0 - 7\/(-7). Let x(w) = 0 - 6 + w + t. Give x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 + 0 + 3*q**2 + 3*q + 0 - 6*q**3 - 10*q - 3*q to the form b*q**3 + z*q**2 + i*q + j*q**4 + a and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 20, 59, 114, 185?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44 + 52 + 28)*(56*x + 33*x + 39*x + 2) to the form j*x + m and give j.\nAnswer: 4608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4564654 to the nearest integer?\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -39*o. Let m(q) = q**3 - 10*q**2 - 34*q - 3. Let y be m(13). Let k(i) = -51*i**2 + 115*i**2 - y*i**2. What is d(k(p))?\nAnswer: -78*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19254 <= -7\/1073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4992\/(-448))\/13)\/(9\/4*(-2)\/(-21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from {q: 4, y: 1, i: 1, p: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 + -284. Solve m + x*d + 12 = 5*m, 2*d + 6 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = -4*y - 1, 0 = 4*n + y + 10. Let j(g) = g + 3. Let f be j(6). Let u be 1\/(-1)*f\/3. Are u and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20282 * 123\nAnswer: -2494686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 + 10*o**2 - 5*o + 3. Give r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6819, 0.3, 2\/3, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + 17099 - 8 - 7. Suppose 2628 = -8*h + m. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**3 + 0*u**3 + 14 - 12 wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/21))**(-50)\/(t*t\/(t**(-41)*t)*t*t**43))**(3\/34) assuming t is positive.\nAnswer: t**(-953\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495263851.\nAnswer: 4409, 339139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 347949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -37\/274893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -155*y + 8056. Let m be j(52). Let c(p) = -p**3 - 4*p**2 + 2*p + 9. What is c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + 6) - (-107 - -111) - 33?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 9:30 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396 and 1146?\nAnswer: 75636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2233)\/(-2) + -4 + 1\/2. Let f = 1856 - x. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**0\/q))**(4\/31)\/((q*q**(-1)\/q)\/q)**(-7\/6) assuming q is positive.\nAnswer: q**(-205\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -16. Suppose -a + t = -0*a. Suppose -a*x - 2*b + 376 = x, 0 = -5*b. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -26*a - 7. Determine u(-11).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and -55810?\nAnswer: 55810.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 8:58 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (11 - 12) - -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.1 + -0.1. Let c = q + -11.00021. What is c rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*q + 29, -2*y + 2*q + 2*q - 28 = 0. Let s = 25 + y. Solve -7*n + 11 = -2*p - 2*n, 4*p + 17 = s*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3905137865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 69 = 3*p, 0 = -p - 0*p - t - 18. Let f = -21 - p. Factor 0 + 1\/7*y**5 + 2\/7*y**2 + f*y**3 - 1\/7*y - 2\/7*y**4.\nAnswer: y*(y - 1)**3*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzp when three letters picked without replacement from fzllfyzlllzllpglffzp.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1224885160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20961232.318 rounded to the nearest 10000?\nAnswer: -20960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k*y**3 + 31*k*y**2 + 2*k - 710*y**6 wrt y?\nAnswer: 12*k - 85200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/19 or 0.202?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12757 - 12768 - h**2 + 3*h**2 + 38752 - 13227.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768694 to the power of 1\/2, to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)*h**(-3))\/(((h\/(h\/(h\/(h\/(h**1\/h)))))\/h*h*h)\/((h\/h**3*h)\/h)))\/((h**0)**(9\/4)\/((h*(h\/(h**(-2\/3)\/h))\/h*h)\/h)**(-3\/16)) assuming h is positive.\nAnswer: h**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 31 - 63 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9748 (base 16) in base 14?\nAnswer: 10184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1883 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 8 - 10 + 20)*(-29*b**4 + b + 29*b**4 + 5*b**5).\nAnswer: 130*b**5 + 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 39*g + 4 - 49*g - 4*g**2 + 0*g**2. Let r(s) = -5*s**2 - 11*s + 5. Let i(o) = 5*r(o) - 6*y(o). Calculate the smallest common multiple of i(5) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/(585\/(-3770)*1\/(-27))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 412 = -4*q, 0 = -2*g - 2*q + 92 + 122. Suppose -5*h = -0*h + g. Let y = -9 - h. Calculate the highest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -3. Calculate the remainder when 111 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8550)\/(-209) + 430\/(-473)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266.044*2.\nAnswer: 532.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 = -3*a + 6*g, -2*a = -g + 5. Let b be (a - 8\/(-3))*-3. Let h be (b + 2\/(-5))\/(1\/15). Solve 3*r - h = 2*n, -r + 1 = 2*n - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 6*o**2 - 6*o + 6. Let r(z) = z**2 + z - 1. Suppose 8*v + 205 - 237 = 0. What is v*q(h) + 24*r(h)?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 411 (b) 0.1 (c) 0.7 (d) 4 (e) -1 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -33) + (-16 - (5 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/20 - 5*t**4\/12 + 2*t**3\/3 - 5*t**2\/2 - 5*t. Let p be u(2). Is p*1\/(-3) - -248 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*t + 11802, -3*p - 3932 = -4*p - 2*t. Let b = 3957 + p. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:10 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n*n**(-1\/6))))\/((n*n**(-3\/5))\/n))**22\/(n**(-7)\/(n**(-1\/9)\/n)*(n*(n**(-2)\/n*n)\/n*n)**3) assuming n is positive.\nAnswer: n**(2809\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + -41 + -96 + 137?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16, 284, 1692, 4946, 10784, 19944?\n\"Answer: 123*x**3 - 184*x**2 - 9*x + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-84)\/(-21)*(9\/2 + -2). Suppose -3*n + 179 = 29. Calculate the greatest common factor of g and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m**2 - 58*m + 28. What is the remainder when p(8) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 108 = -828. Suppose p = 12*i - 7*i. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/28*3\/18?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/25)*i*i\/i**(3\/17)*i*i*i*i**(8\/7)\/i*i*i\/(i*((i\/(i\/(((i**(-18)*i)\/i)\/i)))\/i)\/i*i) assuming i is positive.\nAnswer: i**(77131\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*m**3*x**3 - 802*m**3*x - 2*m**2*x**3 + 6*m**2*x - 445*m**2 + 2 wrt m?\nAnswer: 54*x**3 - 4812*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6*c + 8. Suppose 3*n + 67 = c*t + 2*n, 0 = -5*t + 4*n + 169. What is the remainder when 460 is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 17 = -2. Suppose -2*i = -0*i + 12. Let c = h - i. Solve -13 = -x + c*y - y, 5*y = -25 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40288976, -40288986, -40288996, -40289006, -40289016, -40289026?\n\"Answer: -10*o - 40288966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -5*u - 46, 1530*u - 16 = 2*o + 1534*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4784066420?\nAnswer: 2, 5, 7, 34171903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 31*o + 7. Let n be q(31). Suppose 0 = 6*f - 2*f - 8. Let y(d) = -6*d + f - n + 11 + d**2. Give y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/5 + 21*j**3\/5 + 64*j**2\/5 + 3*j - 26\/5 = 0.\nAnswer: -2, -1, 1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*z - 5*z + 23 = 0, -4*w = -z - 13. What is the first derivative of k + k**w - k + k**4 + 3 wrt k?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9499 is divided by 1051.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j + 14. Let h be r(-4). Let t be (1\/5)\/((-8)\/h). Which is the nearest to 0? (a) -3\/5 (b) -1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152220119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -55, -111, -189, -289, -411?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 31137 and 21805003.\nAnswer: 21836140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (50\/15 + -2)\/(1\/198)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26*(-1)\/1 + (-5)\/(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1054 and 8?\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -2\/3*u**3 + 0*u**4 + 0*u**2 + 0*u - 22 - 28\/5*u**5. Find the third derivative of n(k) wrt k.\nAnswer: -672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153908 to the power of 1\/2, to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*3*sqrt(13) + 1 + sqrt(13) + 2)**2 + 2*(sqrt(39)\/(sqrt(6)\/sqrt(2)) - (5 + sqrt(13)*-2 - sqrt(13))).\nAnswer: -7681 + 260*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (2 - (8 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1983 = 5*d - 1149, -3*j + 3108 = 5*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15919.2261 to the nearest integer.\nAnswer: 15919","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t - 8 = -2*c, 0 = 4*t - 3*c + 4. What is the units digit of t\/(-2)*(-123)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/6 - 8*z**2 - 3*z. Let v be l(11). Sort v, 2, -3 in descending order.\nAnswer: 2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 0*f - 10 = -20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1060, -2114, -3168, -4222?\n\"Answer: -1054*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - o)*((3*o - 3*o + o)*(0*o - 2*o + 0*o) + o - o - 2*o**2 + 2*o**2 - 5 + 5 + (2*o + 0*o - 4*o)*(2 + o - 2) - o**2 + o - o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -11347\nAnswer: 374451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 28*x**2 - 42*x + 52. What is c(-27)?\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*x**3 - 10*x**3 - 14*x**5 + 5*x**5 - x**5 - 3*x**5 + (-x - 2*x + 4*x)*(4*x**4 + 0*x**4 - 2*x**4) - 3*x**5 + 4*x**5 + 0*x**5.\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15*-1)\/3*2. Let h(b) = 2*b - 7. Let c(t) be the third derivative of -t**4\/24 + 2*t**3\/3 + 8*t**2 + 2*t. Determine a*c(m) - 6*h(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 130. Let f = -504.1 - -601.1. Let o = l - f. Which is smaller: -1\/2 or o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33969\/88 - -386. Let p = 85\/264 - r. What is n in 1\/3*n**2 + 0 - p*n**3 + 1\/3*n - 1\/3*n**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 9*h + 16\/3*h**3 - 1 + h**2 + 1\/4*h**4. Is p(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (4 + 1 + 12\/(-36)*18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*t + 3*t**2 - 43*t)*(107 - 112*t**2 - 107) + (-2*t**3 - 2*t + 2*t)*(0*t - 3*t + 5*t) to the form y*t**2 + b*t + m*t**4 + s + z*t**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywmmmmwwy. What is prob of sequence ww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16 and 305170.\nAnswer: 305154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Suppose -m - 5*g + 249 = 0, -2*m - 2*m + 996 = -2*g. Let o = m + -248. Calculate the lowest common multiple of t and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18346.\nAnswer: 2, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(18) - sqrt(162)\/sqrt(9)))\/sqrt(9)*-2 + (5*sqrt(88))\/(sqrt(99)*2 + sqrt(99)).\nAnswer: 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584991 rounded to the nearest 10000?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80102999*q**5 - 9*q**2 - 677940*q?\nAnswer: 4806179940*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*q**2*v**3 + 4*q**2*v - 14*q - 4794*v**3 wrt q?\nAnswer: 54*q*v**3 + 8*q*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-39)\/(-27) + -1)\/(230\/45). Put 8\/7, 2\/15, d, 1 in increasing order.\nAnswer: d, 2\/15, 1, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7 = -5*f, -a - 2 = 7*f - 2*f. Let k(l) = -3*l - 9. Let j be k(-6). Solve -5*c = -z + j, a*z + 5*c + 3 = -10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -176, -3 in increasing order.\nAnswer: -176, -3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 15*c**2 + 15*c + 17. Let a be s(-14). Suppose a*q - 40 = -q. Solve -4*y = -2*y + q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 20 + 10 + -8 + -12\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*q)*(-4 + 1 + 0) + 2*q - 7*q + 2*q - 2*q + 2*q + 12 + 2*q + q + 3 - 3 + (4 - 4 - q)*(1 - 1 - 2) - 2*q + q + 2*q.\nAnswer: 9*q + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqttqqnxxqtttsii. Give prob of picking 1 s and 1 i.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1077921797 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-158)\/26 - (-249)\/3237\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -0*p - 3*p. What is the second derivative of -11 + 16*c**5 - 3*c + p + 3*c + 1 - c wrt c?\nAnswer: 320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51624738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.3.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 183.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 26*t + 8. Suppose -r - 5*y - 17 = 0, -269*y - 20 = -2*r - 270*y. Give v(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 0.6489 in decreasing order.\nAnswer: 0.6489, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (11 - (25 + -54 + 54))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 56 = -220. Let o = d + -66. Solve o*k + 2 = 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 7*q - 18. Let m be i(21). Suppose 0 = 7*b - 30 - 5. Suppose 2*r + 2*j - 218 = 0, -3*j + m = b*r - 263. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 615 divide 2234877405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 41*y - 452. Let t(m) = 80*m - 908. Let l(d) = 3*t(d) - 5*u(d). What is the derivative of l(h) wrt h?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d = 4*w - 60, 92*w - 88*w = -3*d + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265 - -657. Let x = 775 - p. What are the prime factors of x?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -43, -113, -203, -307, -419, -533, -643?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 1. Let v(i) = -16*i - 3. Let g(r) = -4*u(r) - v(r). Let a(o) = 11*o - 3. Determine 6*a(l) - 17*g(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 >= -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*r = 31, -4*r = 31 - 11. Let t = a - -14. Let w = 0 - 0. Solve 0 = 3*n - w + t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 32247?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 9 + 16)*(-32*h + 11*h - 34*h).\nAnswer: 2475*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 3 - 1715\/539.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.819?\nAnswer: -0.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 less than 547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4) + 5 + (-11)\/2. Suppose 2*p = -x - k*x + 6335, 5*p = x - 2106. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066206 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccdcdscdcceddccsrd. What is prob of sequence cecd?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 585, 2726, 6423, 11676, 18485, 26850, 36771?\nAnswer: 48248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -0.4, -3\/2, 8, 0.5 in descending order.\nAnswer: 8, 0.5, 1\/8, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61840.\nAnswer: 2, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**3\/7 + 4*x\/7 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-18)\/(-7) - 3). Suppose 2*m = 3*s - 2, m - s = 4*s - 15. Suppose -17 = -m*u - b. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -10303?\nAnswer: -10223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-806)\/(-12) + 3\/(-18). Let t = 119 - j. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*x + 292, 0 = 2*x + 7*m - 5*m - 134. Let f be ((-2)\/(2\/5))\/((-12)\/24). Calculate the highest common factor of f and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -10*i + 7*i + 5, -7 = -4*i - 5*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105008 + 537?\nAnswer: -104361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**3\/4 + 353*c**2\/4 - 230*c = 0?\nAnswer: 0, 8\/3, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 584 and 32?\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98762 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*d)*(-33*d**2 + 33*d**2 - 6*d**3) + (2*d + d - 5*d)*(3*d**3 + 0*d**3 - 5*d**3).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1473.1 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-2)))**(-44) assuming x is positive.\nAnswer: x**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 29. Let q be (k - 33\/6)*-38. Let a = q + -57. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = j - 531, -3*j + 2*j = -3. Suppose -3*t - t = -48. What is the highest common factor of n and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459525 and 439473.\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1231, 1\/10, 8, 5 in ascending order.\nAnswer: -1231, 1\/10, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -25. What is the hundreds digit of ((-477)\/6)\/((-4)\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 - 3*f + 6. Let i be b(4). Let z be (-24)\/12 - i*2. Suppose 5 = -z*u + 85. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -855, 11, -5 in decreasing order.\nAnswer: 11, -5, -855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 2*b**2 + 2*b + 3. Let m(n) = -n**2 - 5*n + 2. Let p be m(-7). Suppose i + 12 = -3. Let q = i - p. What is r(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889586792 to the power of 1\/3, to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/2)*v**(-7)*v*v\/v**(-1\/3)*v**(2\/7) assuming v is positive.\nAnswer: v**(-205\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**7\/30 + 2*w**3\/3 + 31*w**2\/2 + 16. Let z(v) be the second derivative of a(v). Differentiate z(i) with respect to i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggw when three letters picked without replacement from ggwwgw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 557*l**3 + 981*l**2 - 4. Let o(g) = -557*g**3 - 981*g**2 + 6. Let t(d) = -2*o(d) - 3*v(d). What is the third derivative of t(c) wrt c?\nAnswer: -3342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(143) - 5*(sqrt(143) + (sqrt(143) - 2*sqrt(143))))*1)\/((sqrt(11) - (sqrt(11) + sqrt(44)\/(sqrt(36)\/sqrt(9))))*6*-2).\nAnswer: 5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p. Let t(v) = -3 + 3 - 92*v**2 + 103*v**2. Calculate t(u(b)).\nAnswer: 275*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10625 by 625.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6705 divided by -447\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*f + 27*f + 1179 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose 3*r + c*p = 13, -6*p = r - p - 8. Suppose -r = 4*d - 15. What is the highest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Find the first derivative of j**4 - 4 + r - 8*j**4 + j**4 wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4 - 594\/(-4). What is d rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbeqg. What is prob of sequence bg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.94 - 16.8307. Let h = y + -50.2093. What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50562*v**3 - 38145*v**2 wrt v?\nAnswer: 303372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27977?\nAnswer: 101, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-2)\/2 + 3. Let t(c) = 3*c - 3*c - c - 4*c + c**h. Let y be t(5). Solve -2*n - 17 = 2*n - 3*i, y = n + 4*i + 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 2 + 4*q**2 + 2 wrt q?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38265 is divided by 12752.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5\/6, 0.2, -4, -42?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 0*s**2 + 0*s**3 + 31 + 81*s + 37\/2*s**4. Find the first derivative of d(q) wrt q.\nAnswer: 222*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414071682 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 74. Suppose r*c - 1102 = 299. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31452*d + 1862 - 1862.\nAnswer: 31452*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 0, -2*k - 3*k = 3*a - 25. Suppose -k*n + 106 = 4*q, 76 = q + 2*q + 2*n. Solve 5*z - 5*h + 25 = 0, 5 = 3*z - 5*h + q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 88, 97, 106, 109, 100, 73?\n\"Answer: -j**3 + 6*j**2 - 2*j + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33516, 33523, 33534, 33549, 33568?\n\"Answer: 2*d**2 + d + 33513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391987?\nAnswer: 391987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = 2. Let g(d) = -d**2 + 13*d - 2 - 4 + 2. Let t be g(11). Solve -t = 3*p + n - 2, 2*n = -f*p - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a factor of 516108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30.6*0.2\nAnswer: -6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.03, 35, -458 in descending order.\nAnswer: 35, -0.03, -0.1, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -18*w**2 + 17*w + 5. Determine j(-2).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 176877*f**2 - 176877*f**2 - 307*f**4 + (-2*f**3 + 4*f**3 - 4*f**3)*(-f - f + 3*f).\nAnswer: -309*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/16805797 or 0?\nAnswer: 2\/16805797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 23*v + 2790. What are the prime factors of v?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -20*p**4 + 29*p**3 - 17*p**2 - 36*p + 30. Let v(w) = 9*w**4 - 15*w**3 + 9*w**2 + 18*w - 15. Let m(j) = 3*f(j) + 7*v(j). Suppose m(z) = 0. What is z?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 991, 985, 975, 961, 943, 921?\n\"Answer: -2*r**2 + 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-105))\/((-25)\/(-125))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10630 - 31500 = -202*q - 18294 for q.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -293190*b**2*u**2*z**2 + 6*b**2*u*z + 2*b*u**2 + 1394328*b*z - 5*u**2*z**2 wrt z.\nAnswer: -586380*b**2*u**2 - 10*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-4 + (6 - -10) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r**2 + 436*r - 56. Give a(-22).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -53*l + 61. Let n be o(6). Which is the fourth biggest value? (a) n (b) 3\/2 (c) -4 (d) -1\/4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 12 + 1)*(2084*i**3 + 216*i - 216*i) + 0*i**3 - 3*i**3 + 2*i**3 as o + c*i + w*i**3 + y*i**2 and give w.\nAnswer: 41679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 390 (c) 0 (d) -4 (e) 2\/23 (f) -84 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 654708525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.3 - -11. Let f = 1.70000004 - w. Round f to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6400 and 576.\nAnswer: 57600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = 10. Let n = 3 + g. Let k(z) = z. Let y = 11 - 12. Let a(q) = 3*q + 1. Give n*k(w) + y*a(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33870229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186258 and 5544951.\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f - 69. Let c be v(-8). Suppose -4 = -a - 2*l, 5*a + 8*l - 32 = 4*l. Solve r + a = c*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-16) + 717\/24. Which is greater: o or 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58893646 to the power of 1\/2, to the nearest integer?\nAnswer: 7674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10+169438.5545\nAnswer: 169448.5545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -12*q**2 + 0 - q + 0*q**6 + 0*q**4 + 0*q**5 - 14\/3*q**3 - 7\/30*q**7. What is the derivative of g(p) wrt p?\nAnswer: -196*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/24 - -7)\/((-143)\/26) + (-8662)\/12078\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 426477506?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 63360 = -5*m + 70435, 5*l = -9*m + 240747. List the prime factors of m.\nAnswer: 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**3 - 7*f**2 - 9*f - 9. Let o(h) = h**3 - h**2 - h - 1. Let d(n) = -18*o(n) + 2*s(n). Suppose d(c) = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 6:22 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f**3 + 3*f - 21. Let w(o) = -40*o**3 - 8*o + 62. Let a(b) = -8*t(b) - 3*w(b). Differentiate a(z) with respect to z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*y - 20861 = 34484 - 7330 for y.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27180023 a multiple of 1579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 384519668 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, k: 4, b: 6}. Give prob of picking 3 l and 1 k.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -449*r - 1045*r + 611*r - 1146*r as y*r + c and give y.\nAnswer: -2029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2111 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*u + 637 + 266 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1*-6)\/((-5)\/(10\/(-3)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 7*n + 297. Let u be v(14). Let k = -39\/188 - 2\/47. Which is the nearest to k? (a) -0.2 (b) u (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-17)*h)\/(h\/(h\/(h\/h**(1\/3)))))\/((h\/(h*h**(-16\/5)*h))\/(h\/h**(-4\/15))) assuming h is positive.\nAnswer: h**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 22693111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 16*p**2 - 58*p - 10. Let f(n) be the second derivative of 5*n**4\/12 - 19*n**3\/6 - 3*n**2\/2 + 2896*n. Calculate -10*f(r) + 3*x(r).\nAnswer: -2*r**2 + 16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 7. Let d = 6 + -4. Let k be -3 + (-3)\/((-3)\/d). Which is the second biggest value? (a) -3 (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6694 + 19564 + 21917 = 25*c. Calculate the remainder when c is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.62853 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92253 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/4 - 5*y**4\/4 - 9*y**3\/4 - 7*y**2\/4 - y\/2.\nAnswer: -y*(y + 1)**3*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 9\/40, -1, 0?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s. Let r(z) = -3*z + 1. Determine 4*r(l) + 3*t(l).\nAnswer: 3*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15302 + -15299. Solve -5*f = h - 24, -3*h = -2*f - 1 - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 6*o + 3*o)*(-2 + 2 - 1) + (-o + 2*o + o)*(1 - 3 + 4) - o + 3*o - 4*o - 3*o - 2*o + 2*o to the form h + d*o and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47\/3 in -2\/3, 10, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 503362 and 20.\nAnswer: 5033620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/10)\/((-15)\/50). Let p be (-3)\/v + (-3)\/(-4). Let w = -72 - -78. Which is the third smallest value? (a) w (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/6852 and -23\/15417.\nAnswer: 61668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + s - 13 = 0, 5*v - 5*s - 20 = -10*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 46*v - 2. What is the hundreds digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 15 = 5*u - 3, 4 = -2*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5471 is divided by 143?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 1:41 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 11, f: 1, k: 2}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/7904*16*4*-1)\/1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507 = 2545*f - 2584*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u - 50. Let m be w(-4). Let q be 6 + m + 3\/1. Which is the closest to -4\/5? (a) -0.06 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**6\/40 - 3*b**5\/80 + b**4\/16 + b**3\/8 + 6*b. Solve v(r) = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times 0.1?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 15 = 10. Solve a*c = -25 - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 1. Let d be p(5). Suppose -y - 2 = -d. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 5*s - 16, 3*n - 4*s = n + 18. Suppose -9 = -5*j + 1. Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n + 10. Let d be c(-9). Let o = d - -56. Suppose 8705 = 2*w + o*w + 2*q, -4*w + 4*q = -6964. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -1723630?\nAnswer: 1723630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 3. Let n(p) = -25*p - 16*p**3 + 15*p**3 - 2*p**2 + 26*p. Determine n(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 2, v: 4, u: 4}. Give prob of sequence vu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 5*w**2)*(1 - 5 + 1) - 75 - w**2 + 24 + 30.\nAnswer: 14*w**2 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1964475, 1964478, 1964481?\n\"Answer: 3*o + 1964472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*g + 36 = -3*r, 0 = 5*r + 5*g - 90. Suppose 3 = -x + 30. Calculate the greatest common factor of x and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by (-3 - -2)\/(16\/(-224))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6327.7613 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-356)\/52 + 7 + 6\/(-39). Solve y = 16*k - 12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 11:02 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 143 = -44. Let v = l - 10. Suppose v*p - 2*p + 2*c - 475 = 0, -3*p + 274 = -c. Is p a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a factor of 286047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -0.2, 6.9, 24\/19, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 12\/35, -0.12 in ascending order.\nAnswer: -0.2, -0.12, 12\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*a**2 + 0 - 4\/5*a - 1\/5*a**3.\nAnswer: -a*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b + 86. Let z be l(-15). Is (-63745)\/z - (3 - 45\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -56*i**2 - 10*i + 67. Let d(z) = -84*z**2 - 16*z + 100. Let g(y) = 5*d(y) - 8*r(y). Let f(n) = n. What is g(f(o))?\nAnswer: 28*o**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.71 and -581566744.\nAnswer: -581566731.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**5*r**3 - 2*d**5 - 36*d**2 + 21*d*r**3 + 6 wrt d?\nAnswer: -100*d**3*r**3 - 40*d**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293067?\nAnswer: 3, 32563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, w: 7}. What is prob of picking 4 w?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*i - 18 = 4*c, 0 = -5*i + c - 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-28)\/((u\/(u**9\/u))\/u**(-4\/7)) assuming u is positive.\nAnswer: u**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a8 + -14?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*p + 131339 = 2146*p - 9277 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 6*l - 6. Suppose 3*r - 18 = -2*m, -3*r - 4*m + 1 = -23. Let x be p(r). Let a be 3 - 1 - (0 + -1). Put 5, a, x in descending order.\nAnswer: 5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840009 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f + 49. Let g be t(37). What is the greatest common divisor of g and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7189 at least as big as -7188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.02 and -0.3?\nAnswer: 0.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(1\/(-2) - 4248\/(-9072)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17550 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2 - 2. Let w be (-2*(-6)\/4)\/((-3)\/(-10)). Let h be (42\/(-105))\/(8\/w). What is the smallest value in b, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593690838.\nAnswer: 2, 3, 13, 7611421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1014)\/52*124\/(-3) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 10:27 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 16, n: 2}. What is prob of picking 2 a and 2 n?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 18*k**2 + 29*k - 165. Let u be f(-11). Sort -27, -0.4, -2, u, -1\/4 in decreasing order.\nAnswer: u, -1\/4, -0.4, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1857*n + 1865*n = 3*f + 14, n + 7 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15318 and 3.\nAnswer: 15318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = 2*q + l - 139, -2*q - 2*l = -524. Let a = q + -223. Suppose -n + 182 = 14. What is the greatest common factor of n and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (2 - 0) + -8. Let b be 9538\/(-5415) + 2\/(-15). Which is bigger: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -689026 equal to -688932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((88\/(-1))\/(-11))\/(-7)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 118 - 321. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77606 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -1 - -4 - 1. Put -4, p, -3, -1 in ascending order.\nAnswer: -4, -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -983 + 985. Let g(o) = -o**2 - 7*o - 5. Let t be g(-6). Suppose 420 = 4*b - q*f, 0 = 2*f - 5 + t. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 + 22 - 43) + 1 + -3 + 1 + 23.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80*(-12)\/(-4)*(13 - -40612). Round o to the nearest 100000.\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000101100001100110 (base 2) to base 14.\nAnswer: -103458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36662 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20169\/(-18)*8\/25014. Let t = j - 2\/379. What is the second smallest value in 0.4, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 52*o + 359. Let m be c(-7). Let s(l) = 2*l**3 + 9*l**2 - 3*l + 6. Calculate s(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 - 5832926*r\/7 + 11665856\/7.\nAnswer: -(r - 2)*(r + 5832928)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2\/8*-2). Let o be (-3)\/(-3)*0\/n. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56807162.\nAnswer: 2, 79, 359539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03717789497 to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152904 and 1385.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -23*y - 1. Let m be b(-1). Suppose -c = 5 - m. Suppose -9 = o + 4*t - 40, -2*o - 2*t + 62 = 0. Calculate the remainder when o is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22929028\/963 + -23810. Let h be (6\/(-25038))\/(3*4\/(-7600)). Let n = h - g. Sort 0.6, n, -1\/4.\nAnswer: -1\/4, n, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 3069872113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, 47, 121, 235, 395, 607, 877?\n\"Answer: o**3 + 11*o**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67 or 66?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + (4*2*sqrt(153))**2 + 3.\nAnswer: 3*sqrt(17) + 9795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -49, -53, -57, -61?\n\"Answer: -4*y - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 163.5 and 267921.565.\nAnswer: 268085.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.258157388 rounded to 3 dps?\nAnswer: -0.258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15\/5272, -37, 7?\nAnswer: 15\/5272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 6*a - 20 = -3*x, 0 = -a + 3*x + 14. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 10*s**2 + 11*s + 13. Let h be t(-9). Suppose 0 = 5*d + h + 547. What is d rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 294, 4, 134 in ascending order.\nAnswer: 2, 4, 134, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/3 + 498*x + 186003 = 0.\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -876214 (base 9) in base 7?\nAnswer: -4305253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 4*w**5 - 3*w**5 - 20*w**5 + 334*w - 334*w + (-2*w**5 + 0 + 0)*(2 + 0 - 1) + 2*w**5 - 2*w**5 - 2*w**5.\nAnswer: -21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -t + 58. Calculate the remainder when t is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*v = 2*l + 21, 0 = -5*l - 1994*v + 1993*v + 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2018?\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-105)*(-900)\/72)\/(28\/(-6) - -3)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 12. What is the smallest common multiple of s and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2116\/(-92))\/(-92))\/((-11)\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(3*sqrt(8))*5.\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -7 + 1. Suppose -2*o + x = -5, 0*o - 2 = -2*o - 2*x. Suppose -25 = 5*s, 8 = -4*k + s + 25. Put k, g, o in increasing order.\nAnswer: g, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a5c154b + -2?\nAnswer: -2a5c1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(3*(-14)\/168)\/((-6)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5 + -2.9. What is the smallest value in p, -5, 1\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (638\/(-88) - -11)*(6\/75 - 0).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2137427 divided by 10.\nAnswer: -2137427\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5071 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c + 14 = -43*c - 4*s, 4*c = 14*s - 17*s - 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) + 8\/(-24). Which is the third smallest value? (a) 1\/11 (b) v (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -419369 (base 14) to base 9\nAnswer: -4145470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9) + (13244\/(-420))\/(-43) + -3.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-102)*(-225)\/(-10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 2 = 0. Suppose 3 = n - m. Let q(j) = 2*j**2 + j. Let p be q(-2). Solve n*r = r - p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 - -91. Suppose j*o - 5 = 5. Factor -3*x**3 + x**5 + 2*x**4 + 5*x**o - 7*x**2 + 2*x**5 + 0*x**4.\nAnswer: x**2*(x - 1)*(x + 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/11 (c) -13\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {v: 3, s: 1, x: 5, u: 2, q: 1, j: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/105577639?\nAnswer: 1\/105577639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.519653 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -446? (a) 2\/9 (b) -3 (c) 9 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngrrdndv. Give prob of sequence grn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3121*y**6 + 3*y**2 + 155.\nAnswer: -374520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540 by -180.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -92 + 32 + (-40 - -61)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5627 + -5502. Solve 14*v - 55 + f = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let g be m(-5). Let b = 2 + -2. Let f = b - g. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 - 5\/(20\/24) - (-36 - -38). Factor 8\/7*d**2 + 0 - 18\/7*d**3 + 12\/7*d**i + 0*d - 2\/7*d**5.\nAnswer: -2*d**2*(d - 4)*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -0.7. Let i = -38 + 43. Let b = i - 3. What is the biggest value in l, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18541?\nAnswer: 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:59 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21167672 and 85728.\nAnswer: 254012064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2095 + 391 = 216*o + 2*o - 566 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 216, -10 in decreasing order.\nAnswer: 216, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110707 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2210 + 4?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12 + (-27)\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k + 7. Let o(v) = v + 14. What is the units digit of o(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 + -2 - (1690 + -1759)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2\/165 (c) 4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 890907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**4\/24 + d**3\/12 + d**2\/2 + 11*d. Factor a(x).\nAnswer: -(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577 is divided by 66?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69306006 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2843072*f**6 - 2101152*f**2 wrt f.\nAnswer: -341168640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 31 = -3*t - 4*j, -j = 3*t + 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9857682, -39430725, -88719128, -157722891, -246442014?\n\"Answer: -9857680*c**2 - 3*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 7:26 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 37 = 238. Let h = s - -109\/2. Is h greater than -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067 is divided by 269.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 6. Let h be c(8). Let a(s) = -2*s + 4. Let k be a(0). Let b = k + 2. Calculate the greatest common factor of h and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 644.7716774 - -0.0743226. Let m = 645 - d. Are 1\/4 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s + 0*s)*(-1 + 0 + 2)*(2 - 15*s + 9*s**3 - 126*s**2 + 126*s**2).\nAnswer: 27*s**4 - 45*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 3*w = -3*c - 528, 4*c + 6*w - 704 = 0. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 494 * 0.1\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:32 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 1 - 72*v)*(3*v - 4*v - 4*v) in the form n*v + a + s*v**2 and give s.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 153351092 to the power of 1\/3, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(270\/585)\/((-9)\/(-6))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/c**(-10\/9))**(5\/7)*c**(-6)\/c*c**6\/c*c\/c**(7\/4)*c*c*c\/c**(-5) assuming c is positive.\nAnswer: c**(1451\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 44\/5 of a week?\nAnswer: 88704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2 + 6*l**2 + 7*l**2 + 11 + 10*l**2 wrt l.\nAnswer: 50*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and (-495)\/(-33) - (-2 + -159).\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-234))\/((((-68)\/(-96))\/(-17))\/((-20)\/176)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1514 and 69\/22?\nAnswer: 16654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -137741, -275582, -413423, -551264, -689105?\n\"Answer: -137841*a + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 12) + 0 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2 - 2*d. Let s(v) be the first derivative of 5*v**3\/3 + 3*v**2\/2 + v + 1163. Give 3*s(z) + 4*u(z).\nAnswer: -z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -3. Suppose 4*z - 16 = -0*z. Let r be z\/6 - (-22)\/(-15). Which is the second biggest value? (a) 0.3 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -394 + 390. Let o(r) = -r**2 + 8*r + 6. Let z be o(9). Let i = z - -4. Solve -h*s = -s - i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -8. Solve -5*m - 9 = v - 3, 6 = z*m + 4*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**3*c*y + a**3*i - 4509*a**2*c*i**2*y - 2*a**2*c*i**2 + 6*a**2*i**2 - 125*a**2*i + 2*c*i**2 wrt y?\nAnswer: -2*a**3*c - 4509*a**2*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35890\/16 - 25\/200.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 12 + (12 - 41) - (-5 + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29638804 is divided by 4939799?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*u**4 + 258125*u**3 - 1075160*u**2 + 1376065*u - 559000 = 0. What is u?\nAnswer: 1, 13\/6, 8600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7788\/(-1062) + (-2 - -9) - 52\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/26531 - -2856817\/47755800. Calculate the common denominator of -17\/240 and y.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 25*g**2 + 12*g + 16. Let l be q(13). Suppose -3*r = -z + 22, -l*z + 3*r + 51 = -r. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 5944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, t: 3}. What is prob of sequence tt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 26*c + 55. Let m be k(-2). Solve -z + 2 = -m*p - 6, -4*z + 2 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2210 and 53\/1430.\nAnswer: 24310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*1)**2*-2 - sqrt(891)*-2*-2 - (-4 + 2*sqrt(891))*-4.\nAnswer: -1798 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14414*j**2*z**3 + 23*j**2 - j + z - 82 wrt z.\nAnswer: -86484*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -71, -89, -149, -275, -491, -821, -1289?\n\"Answer: -4*t**3 + 3*t**2 + t - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34657 + 11b7?\nAnswer: -33480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 2*a**3\/15 + 2*a**2\/5 + 2*a\/5 + 14. Factor b(f).\nAnswer: 2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/15)\/((-18)\/(-1))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(4\/(-12))*(-3 - -4). Let u(t) = 28*t**2 - 2*t - 4. Is u(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p. Let h(z) = -6541*z**2 + 1121. Give v(h(k)).\nAnswer: 13082*k**2 - 2242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 8:24 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0*m**2 - 47\/12*m**4 + 11 + 0*m**5 + 0*m**3 - 3*m + 0*m**6 + 2\/7*m**7. Find the third derivative of x(i) wrt i.\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26365728 - -26365728.16693557. Let z = 0.059936092 - j. Let r = -0.107 - z. What is r rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -0.3 (c) -0.02 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1212, 4.\nAnswer: -1212, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + 2.299982. What is j rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/8, -68, -3\/4, -5, -91, -10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(17\/4)*k*(k\/(k*k\/(k**(-10)\/k))*k)\/k assuming k is positive.\nAnswer: k**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -638 + (6 - (2 + (3 - 3))). Let u = -37 - w. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1608 or -1620?\nAnswer: -1620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18fd8 (base 16) in base 11?\nAnswer: -6a9a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.24278 kilograms in nanograms?\nAnswer: 33242780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46618.7589ms in weeks?\nAnswer: 0.00007708128125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(288)*-2) + 4)**2.\nAnswer: 960*sqrt(2) + 28816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 93. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4603.\nAnswer: 1\/4603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.832 - -0.832. Which is the biggest value? (a) -0.4 (b) i (c) 7.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13428*s**2 + 61 + 2*s + 7 + 13417*s**2 as u*s + r*s**2 + h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020178 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -20, -21, -24?\n\"Answer: -a**2 + 4*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (18 - -14 - -19).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51487063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyk. Give prob of picking 1 y and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 + 43202*g + 13 - 43301*g + 18)*(4 - 1 - 4)*(-2*g - 2*g + 3*g) as a*g**2 + x*g + s*g**3 + z and give a.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/6 + 5*y**3\/6 + 3*y. Let s be p(5). Let z be (-10)\/s - (-13)\/5. Solve -g + c = z*g - 10, -5*c = -g - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -42, -4 in descending order.\nAnswer: 4, 0, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 1445\/(-119)) + (26\/(-65))\/((-7)\/43)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6541 or -25560?\nAnswer: -25560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 345 + -108?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -4 (c) -2 (d) -3 (e) -0.1 (f) 716\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -35*z**2 - 28*z - 28. Let s(u) = -u**2 - u - 1. Let o(q) = -k(q) + 28*s(q). Let x(b) = 2*b**2. Determine x(o(f)).\nAnswer: 98*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**3 - 34*j**2 - 7*j - 2. Calculate the remainder when 12151 is divided by a(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 + 10*z**2 + 26*z + 14 = 0. What is z?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04878 times 0.5?\nAnswer: -0.02439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202 by -1115416.\nAnswer: 101\/557708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/5)\/b**(3\/5))\/(((b**0\/b)\/b)\/b)**(3\/7) assuming b is positive.\nAnswer: b**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 679 and 152387.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/18 + 589\/(-18))*5456\/(-310). Calculate the highest common divisor of s and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h + 6 = 2*r, r - 3 = 2*h. Let c be (-31 - -32) + (h - 97). Is (c - -3)\/(-3)*23 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5283, 10587, 15917, 21267, 26631, 32003, 37377, 42747?\nAnswer: 48107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1180652138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -88?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)\/((f**(1\/13)\/f)\/f))\/(f*f**(-7))**15 assuming f is positive.\nAnswer: f**(2403\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1001110011101100001011110?\nAnswer: -1001110011101100001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2493504 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988 is divided by 503.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 j when four letters picked without replacement from srcmmjjjjjcsdmj?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in 0, 0.3, 1\/5, 92\/3, 11\/2?\nAnswer: 92\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -18. Suppose -i*w + 13 = 1. Suppose -2 = w*x - 8. Solve -4*k + 1 = -4*b - 3, -x*k = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o + 227. Let h be w(-45). Solve -h*p = 2*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c - 126. Let h(f) = 2 + 42*f - 94*f + 40*f. Let d be h(-1). What is the greatest common factor of d and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -12. Let m be (-21)\/t*2\/3. Let w(v) = 14*v + 49. Let i be w(-3). Calculate the greatest common factor of m and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.04 + 0.04. Let n = -1558 + 1557. Which is the closest to s? (a) n (b) 2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111415 (base 7) to base 2.\nAnswer: -100110100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 q, and 1 d when four letters picked without replacement from {t: 1, d: 5, b: 11, c: 2, q: 1}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1553, -1447, -1271, -1025, -709?\n\"Answer: 35*p**2 + p - 1589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 5*c - 91, -3*c - 20908 = -4*f - 20966 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736228 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433774 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 5*u**7\/42 + 7*u**3\/6 - 7*u. What is the second derivative of v(w) wrt w?\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -490*o - 207. Is q(-113) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 154322 + -4?\nAnswer: 154315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226 + -43. Suppose -3*v - 3*f + k = 0, 2*f - 156 - 32 = -3*v. Calculate the lowest common multiple of v and 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/49874 and 103\/23936.\nAnswer: 54262912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -519\nAnswer: -1\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.2846 millennia in centuries?\nAnswer: 3002.846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3687*u**2 + 81*u**3 + 3701*u**2 - 720*u - 7389*u**2 wrt u.\nAnswer: 486*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*o = 53, 3 = 12*f - 6*o - 0*o + 7*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56866 or -57868?\nAnswer: -57868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 5*g + 3. Let j be b(5). What is the third derivative of -6*d**3 - 2*d**j - 30*d**2 + 19*d**2 wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -h + 8, -3*p = -15*h + 19*h - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -1\/10*f**5 - 1\/2*f + 0*f**2 - 1 + 1\/3*f**3 + 0*f**4. Factor q(c).\nAnswer: -(c - 1)**2*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -69)\/((-6)\/(-12)). Is x\/4*88\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.17152 - -14.169. Round b to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 22, 112, 320, 694?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2090)\/(-40) - (-2)\/(-8). Let k be (s\/91)\/(4\/14). Let z be ((-14)\/(-42))\/(k\/66). Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/((-2079)\/(-105))*9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m - x - 2092 = 0, -3*m - 2*x + 1569 = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*a - 28. Let t = -17 - a. Solve 0 = t*i - i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 15416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o**2 - 5 - 7*o**3 - 2 - 2*o - 4*o + 5*o**3. Let v be m(7). Solve -h = -4*k, -k + v*k = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -86380709 and -1?\nAnswer: 86380708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 28*f - 268. What is the least common multiple of c(10) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 1\/(-1))\/(7\/(-84)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1391720 and 25810080?\nAnswer: 283910880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 12, 5 + 39 = -160*v + 163*v - 8*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 3*w + 12. Determine d(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6079053?\nAnswer: 3, 2026351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let j(g) be the third derivative of g**5\/30 - 3*g**4\/8 - 2*g**3\/3 - 5*g**2 + 3*g. Suppose 10 = 3*b + 28. Determine b*i(q) - j(q).\nAnswer: -2*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 51140000 to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-4)\/9*(-129 + 17 - -94)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 259.39*429\nAnswer: 111278.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 978744 and 1248?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 2*r**2 - 4*r + 1. Let q be v(-3). Let t = 4 - 1. Let o = q - t. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 0*j - 3*j)*(-3 - 7*j + 4*j + 0*j).\nAnswer: -3*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 183277*h + 2 + 0 - 183236*h + 2*h**3 - 15*h**2 as y*h**3 + c + j*h**2 + i*h and give i.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = 0. Suppose 10*p - 4*u = 14*p + 32, -3*u = 2*p + 15. Suppose 14*y = 29 - 1. Put y, 3, i, p in descending order.\nAnswer: 3, y, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m*r + m - 193*r with respect to m.\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 212*o**2 + 11236*o.\nAnswer: o*(o + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhlhhlh. Give prob of picking 4 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 21*v**2 - 4*v + 2. Let y(q) = 2*q**3 + 21*q**2 + 5*q - 2. Give -4*d(m) - 3*y(m).\nAnswer: -2*m**3 + 21*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -33.42424+-8\nAnswer: -41.42424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*i - 125*i = -51 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/35017 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 297?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - 114. Suppose -27*p + x = -17*p. Let w(b) = -3*b**2 - b + 2. Let l(q) = -q**3 - 5*q**2 - 2*q + 3. Determine p*l(k) - 5*w(k).\nAnswer: -3*k**3 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1203 (base 4) to base 7\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07282 plus 0.1?\nAnswer: 0.02718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*h + 50*h - 20*h + h + 2*h - 4*h + (2*h - 4*h + 4*h)*(-1 + 2 + 1))*(-8 + 4 - 5) to z + y*h and give y.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324 + o**2 + 324 - 3*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-20)\/(-3))\/2)\/(4\/(-6)). Let x be (a - -5)*(6\/3 - 1). Let r(y) = -y**2 + 2*y + 3. Calculate the remainder when r(x) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(-8 + 7*b + 8)*(-3*b + 3*b + 2*b)*(-b - 2*b + b).\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6678 (base 9) to base 10.\nAnswer: -4931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.048412 or 0.4?\nAnswer: -0.048412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4519 divided by -82?\nAnswer: 4519\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 978\/1141*14\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 324\/5 + -2866\/45. Find the common denominator of (-2)\/(-7 + 1) + 682\/60 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - s**2 + s + 1. Let g(a) = -7*a**3 - 5*a**2 + 7*a + 49. Let f(y) = -6*b(y) + g(y). Does 12 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(637) - (sqrt(637) + sqrt(637) + -1)) + ((sqrt(13) + 1)*-1)**2 + (sqrt(1872) + 1 + 4)**2 + sqrt(1872).\nAnswer: 127*sqrt(13) + 1913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 2436630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -911c18 (base 14) to base 7\nAnswer: -56340631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 567*q**2\/2 - 107163*q\/2 - 6751269\/2.\nAnswer: -(q + 189)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + x + 3. Let a be s(0). Let j be (0 - -15) + (-3 - 1). Let r = 1 + j. Calculate the highest common divisor of r and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 700 and 3171.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4254932720?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9306*c**2 - 5*c + 3. Is v(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 6*g - 6. Let f(m) = 52 - 17 + 8*m**2 + 30*m - 38*m**2 + 5*m. Let q(d) = -35*c(d) - 6*f(d). Let p(l) = 2*l. Determine p(q(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3 - 0. Let p = -37 + 37.25. Let o = p - -0.25. Sort 0.1, u, o.\nAnswer: 0.1, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.07 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 17*n**2 - 24*n - 95. Let q be f(-18). Solve 14*r - 15 = q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and 5.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33742408*f**3 - 5*f**2 - 405*f + 202?\nAnswer: -202454448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12407 - 2*c - 12408 + 5*c - 608*c**3.\nAnswer: -608*c**3 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1263570 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1121018117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * -1.13.\nAnswer: -42.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3, -619, 0, 26 in decreasing order.\nAnswer: 26, 1, 0, -2, -3, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -441362.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = 27. Let n = -1 - 0. Is n + i\/(-2)*6 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {c: 12, n: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 1:11 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.3 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172*u**3 + 2*u**2 - 55*u - 170*u**3 - 73*u + 9*u to the form j*u**2 + z + h*u + y*u**3 and give h.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myyy when four letters picked without replacement from pyypyccmm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = 3*t + 134, -94*d = -3*t - 91*d - 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 8 = -f. Let s(d) = -138*d - 11. Let h be s(f). Suppose 2*w - 3*w + h = 5*k, 5*w - 403 = -3*k. What is the greatest common factor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.32 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 0)\/(-2) + 15 + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 97. Let o be ((-30)\/(-8))\/(5\/p). Let h be (-2)\/6*9\/o. Put 0, h, 0.5 in ascending order.\nAnswer: 0, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 155, 616, 1573, 3206, 5695?\nAnswer: 9220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -3 - -3 - 1. Let c be q\/4 - 1\/4. Solve c = 3*i - 4*s + 2*s + 1, -5*s - 17 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from crcrcccrcrccccrcccc.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187002 is divided by 44553?\nAnswer: 8790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sogggfggp. Give prob of sequence pf.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -196?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1509, -3018, -4527?\n\"Answer: -1509*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*p = -148*p + 1131 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/2, 0.949 in decreasing order.\nAnswer: 0.949, 1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5 + sqrt(405) + 1)**2 - (sqrt(405) + (sqrt(405) - ((2 + 1*sqrt(405))**2 + sqrt(405)) - sqrt(405)) - (1 + 0 + sqrt(405))))*-3.\nAnswer: -2637 - 567*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461837?\nAnswer: 421, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 20867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17c8 (base 16) to base 8\nAnswer: 13710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 3*a**2 - 3*a**2 + (-2 - 3*a + 2)*(0 + 0 - a) + 669*a - 1661*a - 34556*a**2 + 992*a as u + w*a + n*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 - 126.479.\nAnswer: -126.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -89, 23, -3, -19 in decreasing order.\nAnswer: 23, 2, -3, -19, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3454584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 141716339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*h - 5*d, 4*h + 4*d = d + 12. Let b = h - 1. Let c(s) = 0 + 0 - 2 - s**2 + b*s. Calculate c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 9*v**2 + 16*v + 20. Suppose -3*j - 4*i - 29 = 0, 12*j - 2*i + 10 = 10*j. Let m be c(j). Solve 4*w - 26 + m = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -24. Let f be 6\/o*(-4)\/(-6). Suppose 8*q - 249 + 273 = 0. Which is the third biggest value? (a) q (b) f (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.23 and -548?\nAnswer: -674.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r**2 + 2*r + 2. Let o be (-12)\/(-9) + 200\/30. Let u(q) = 8*q + 28*q**2 - o*q - 6 - 3*q - 3*q. Calculate -5*u(h) - 16*v(h).\nAnswer: 4*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 104462.\nAnswer: 731234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53103 (base 6) to base 11.\nAnswer: 5426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/(-5)*110\/(-11). What is the common denominator of -19\/5 and (f\/(-6))\/(4 + 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-415 - 152 - 22)*(7 - 17*v - 7) as k + l*v and give l.\nAnswer: 10013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2570*w + 51*w**2 - 2570*w to d + q*w + b*w**2 and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of (-77590)\/(-70) - (-24)\/(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b - b + (2 - 7 + 0)*(9*b + 4*b - b))*(276*b**3 + 33*b**4 - 276*b**3).\nAnswer: -1947*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6312, 12739, 19386, 26253, 33340, 40647, 48174?\nAnswer: 55921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.233 and 0.2.\nAnswer: -0.0466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18449*z**2 - 10*z + 485 wrt z?\nAnswer: 36898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 6*d**2 + 2*d**2 - 4*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.09 - -9. Let p = 97840.6 + -97840.5099886. Let f = p + d. What is f rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)\/c*c**(-2\/3))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 91 = 1 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j**2 - 9161*j + 18327. What is l(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/3174 and -31\/40434.\nAnswer: 929982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-8)\/(-2)) + (-2)\/4)\/(23586\/(-534616)).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8254\/(-123810))\/(13\/(-25)).\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20172289 divided by -12679.\nAnswer: -1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 190759*f + 2098363. What is k(-11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50, -18, 70, 220, 438, 730?\n\"Answer: q**3 + 22*q**2 - 41*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 8*x**2 - 50*x + 515. Let i be j(9). Let g = 3.5 + -3. Sort 1, i, g in decreasing order.\nAnswer: 1, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4238*u + 428. Let n be l(-6). What is n rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 27909?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120 (base 6) in base 13?\nAnswer: -2ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6542753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(3)*1 + -2 + 0)**2 + (sqrt(60)*1)\/(sqrt(75)*1))*-6.\nAnswer: -54 + 108*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4794*v**2 - v - 18351 wrt v?\nAnswer: 9588*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 16 = 6*s, s = -2*m + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 - 5*m. Let u be v(-4). Solve -2*b = 2*b - u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 88693536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f*o*s**2 - 3*f*s**3 + 11365*f*s - 7218*o*s**3 wrt o.\nAnswer: -4*f*s**2 - 7218*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -13*b**2 + 4*b. Let r(q) = 272*q**2 - 85*q. Determine 4*r(d) + 85*y(d).\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**6\/900 - n**5\/150 - n**3\/6 - n. Let p(y) be the second derivative of l(y). What is k in p(k) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaff. Give prob of sequence fa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -386.66 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x*x*x\/((x**0\/x)\/x*x*x))*x*x))\/x*x)**(-3\/14)*(x\/x**(-7\/5)*x)\/(x*x**(-4)\/x))**(-1\/84) assuming x is positive.\nAnswer: x**(-61\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -10, -2, -0.1, 0.227 in decreasing order.\nAnswer: 0.227, -0.1, -2, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 1. Let r(v) = 4*v**2 + 2*v - 6. Let c(l) = 3*k(l) + r(l). Suppose -s = 8 - 3. Calculate c(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-2)\/(-12) - 0\/(-7)). Solve 26*q - 22*q + h = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4638.1 - 4638. Let h = 0.3 - 0.5. Let f = h + -0.3. Which is the biggest value? (a) f (b) 0.6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*11*15\/(-30). Let z(m) = -9*m. Let y(g) = -5*g. Let t(v) = -45*v. Let s(x) = 4*t(x) - 35*y(x). Determine c*s(k) + 6*z(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -37*c**4\/24 + 76*c**3\/3 + 147*c**2. Let p be d(4). Solve -5*q + p = 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeaavaeeeaave. Give prob of picking 2 e and 2 a.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 49\/16)*-2. What is the nearest to 0.1 in -0.1, y, 6\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 4*f + 1. Calculate x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33003 (base 5) to base 12.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134*q = k - 1138*q + 19, -5*k - q = -31 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2980984 to four decimal places.\nAnswer: 0.2981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 1. Let q be m(0). Let l(z) be the third derivative of z**5\/10 + z**4\/24 + z**2. Let j be l(q). Solve -x = -0*x - j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -46. Let r = n + 83. Suppose -2*f - 12 = -b, 4*b - 5*f - r = -6. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21*(-4)\/9*-3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 166, 389, 692, 1069, 1514, 2021, 2584?\nAnswer: 3197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-2) + 3 + 2. Suppose -m*h + 16 = 2*h. Suppose 3 = h*a - 9. Solve -5*z + 5 = -5*y, z + 6*y - 3*y + a = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -14 - (-2 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 937782*o**2*z**5 - 93939*o**2 + z wrt z.\nAnswer: 18755640*o**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2040\/64)\/(-5) + (7 - 1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0 + 4. Let d = -32 - -38. What is the remainder when d is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 728\/(-72) + (-2)\/(-18). Calculate the remainder when (-4)\/f - (-20079)\/115 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 5 (b) -2 (c) 359 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14714 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/2 - 9013*y = 0. What is y?\nAnswer: 0, 18026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -408 - ae1?\nAnswer: -ee9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -18a99?\nAnswer: -18aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251 - -253. Calculate the lowest common multiple of (15 + (-10 - -3))*w and (-1)\/(-1)*(0 + 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1457 and 23923.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -9 + 3)*(-4 + -117). Calculate the greatest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672092325?\nAnswer: 3, 5, 1327, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**3 - 11*f**2 + 9*f + 3. Let w(i) = -20*i**3 + 32*i**2 - 26*i - 10. Let b(n) = 17*l(n) + 6*w(n). Factor b(x).\nAnswer: -(x - 3)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.148 * 2.\nAnswer: -30.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-30) + (-132)\/(-18). Solve 7*q + k - 13 = d*q, 2*k - 6 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 c when four letters picked without replacement from vvqcpvqpqqpcqvcpqpp?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205255.99 + 109.774.\nAnswer: -205146.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 391*o**6\/30 + 3*o**5\/20 + o**4\/6 + 78*o**2 - 294*o. Find the third derivative of v(i) wrt i.\nAnswer: 9384*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 13*p + 10. Let a be i(0). Let h be a\/(-2)*(36\/5)\/(-6). Solve 8*f + h = 10*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.227 + -0.003. Let f = -3736 - -3736.03. Let v = g + f. What is the nearest to 0.1 in v, -4\/7, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26180259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:54 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -2865.\nAnswer: -5730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**7\/630 + i**6\/180 + i**5\/60 - i**4\/18 - 2*i**3\/9 + 8*i**2 + 34*i. Let v(c) be the first derivative of n(c). Factor v(h).\nAnswer: -(h - 2)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5781251, 11562501, 17343751, 23125001, 28906251, 34687501?\n\"Answer: 5781250*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*(-7)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-2))\/((-4)\/(-12)). Let r = 3 + c. What are the prime factors of ((-13)\/(-3))\/(3\/r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 526*r + 40558. Calculate h(-77).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 220210?\nAnswer: -221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177.4 - 177. Let w = 25.07 + -25. Let p = w - 0.03. What is the closest to -2\/11 in p, d, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 11*y**2 + 3*y + 4. Is c(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + sqrt(42) + sqrt(42)*-3)\/sqrt(6))**2 + -4 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(612) + 4 + sqrt(612) + sqrt(612) + 2*sqrt(612) + 0 + sqrt(612)) + 1)**2 + -3.\nAnswer: 432*sqrt(17) + 88134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*q = 30*q - 14*q - 161*q. Solve -15*t - 1974 + 2004 = q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180*d**2 + 3722 - 3722 to x*d + k + f*d**2 and give f.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227798192 and 240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*u + 394*u = 215*u - 300 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 10. Let t be n(-4). Suppose 10 = -t*r - 0. Let p(u) = -7*u**2 + u. Let l be p(r). What is l rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5860668, 5860664, 5860660?\nAnswer: 5860656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3261, 6523, 9795, 13083, 16393, 19731, 23103, 26515?\nAnswer: 29973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -98\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghkggggtttgtegfghggt. What is prob of picking 2 t?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4101.\nAnswer: 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/40)\/c)*c*c\/(c\/(c**(2\/105)\/c)))\/(c**(1\/17))**(7\/4) assuming c is positive.\nAnswer: c**(5401\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -160*q + 97. Let k be x(-5). Round k to the nearest 10.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1270.2 + -1114. Sort -1, -0.4, b in increasing order.\nAnswer: -1, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51404624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(931))**2 + sqrt(304)*-1.\nAnswer: 10*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -13 - (166 - 152 - 27)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v - 116. Let h(d) = 79326*d - 158655*d - 58 + 79332*d. What is 5*h(c) - 2*q(c)?\nAnswer: c - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0 - -8) + (9 - (-15 + 1) - -48)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gragrhahrgrahargsg. What is prob of picking 2 h and 1 r?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25\/34282 - -1183413615\/1405562. Let h be (0 + -1684)*2\/4. Let s = h + f. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 591 and 9299385?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35739142 to the power of 1\/2, to the nearest integer?\nAnswer: 5978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127010*a - 127058*a - 2400 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4 + 15*h - h**2 + 8*h - 26*h. Suppose 0 = -v + w, -15 = v + w + 3*w. What is l(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -900, -1755, -2610?\n\"Answer: -855*k - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/(-40) + 10\/(-16)*-2085786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1108, -2217, -3326, -4435?\n\"Answer: -1109*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -2*-3*sqrt(192) + -6*4*sqrt(192))**2.\nAnswer: 55488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2950\/7 > -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -395914*l**3 + 32*l**2 - 12102*l + 1?\nAnswer: -2375484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*k - 980, 3*w - 1184 = -2*w - 4*k. What is the remainder when 251 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nannnnttantttntnnn. Give prob of sequence aaan.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*8\/(-66)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.601034 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3013 (base 13) to base 14\nAnswer: -259d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266 + 266.392. Let x = h - -0.008. Which is the nearest to -2? (a) 5 (b) x (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**2 - 4*d**4 + 8*d**2)*(-11 - 6 - 6) + 5*d**4 - d**2 + d**2.\nAnswer: 97*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*192\/(-48) - -119?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.16875 months to decades.\nAnswer: 0.65140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*b - 3 = 3*b, -2*b = -5*d + 4. Solve -d*j = 3*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(4\/7)*d)**10*(d\/(d*(d*((d*d\/(d*((d\/(d*d**(-4\/9)))\/d)\/d))\/d*d)\/d)\/d*d))**0 assuming d is positive.\nAnswer: d**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -546.36 - -548. Round y to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000986 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwigw. What is prob of picking 1 g and 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -1, 9\/2, 2\/49, -3\/10?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136851 divided by -121.\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1250)\/(-1125))\/((1 - -1) + (4 - 2)).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24465 + -34855. Round r to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 9 = -69. Let z be j\/(-9) - (-196)\/6. Let a = -23 + z. Calculate the remainder when 40 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 319, 1, -1, 15, -5 in ascending order.\nAnswer: -5, -4, -1, 1, 15, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (54\/(-170) - 2\/(-17))*2. Put -2\/7, -3\/4, p, 0.1 in descending order.\nAnswer: 0.1, -2\/7, p, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29673073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -3 - (15 - -15). Let f = -27 - s. Let a = f - 2. Let k(r) = r**3 - 5*r**2 - 5. What is k(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 7*q + 21. Let w be ((-2)\/(-3))\/(2\/(-15)). Is i(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -91. What is the third biggest value in a, 6\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -61146 >= 2860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/((-12)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -115 and -0.4.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1241\/3 != -414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(-1)*r))\/r)**(7\/6)\/((((r*r**(1\/10))\/r)\/r)\/r**(-1)) assuming r is positive.\nAnswer: r**(-143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 437 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62105221 plus -0.120232?\nAnswer: 62105220.879768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (49 + 2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1684*h**4*v - 2*h*v**2 + 1928*v**2 wrt h?\nAnswer: -6736*h**3*v - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 147, -348, -1243?\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 + 219. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*f - 308. Let h = f - -3. Suppose 4*x - h = -7. What is the highest common factor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 11. Let g(j) = j**2 + 12*j + 4. Let y be g(q). Solve -y*h + h = -9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f**4\/5 + 4*f**3\/5 - 11*f**2\/5 - 4*f\/5 = 0.\nAnswer: -1, -4\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 4. Let j be f(3). Suppose 0 = 7*q - j*q. Suppose 2*x - 37 - 29 = q. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/2)\/10*35. Solve 0 = 5*l + i + i - a, 2*i = -4*l + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-14 - (-25 + 11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6))\/k*k**(-8)*(k**(-2))**49 assuming k is positive.\nAnswer: k**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/599513 and 61\/14388312.\nAnswer: 14388312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 greater than or equal to 84436\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2\/135, 1, 4, 1.64, -2?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4952\/(-9904)*(-3)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 141*h**2 + 826*h - 80. Calculate n(-64).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5723129 by 25.\nAnswer: 5723129\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -66. Suppose -2*j + 43 = 3*q - 4*j, -4*q - 4*j = -24. What is the remainder when y is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**6\/540 - w**3\/3 + 5*w. Let c(x) be the second derivative of b(x). Factor c(l).\nAnswer: -2*l**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.96 take away 48?\nAnswer: 173.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 20*z + 46. Let d be x(-22). Solve -r + d - 6 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(sqrt(5) + sqrt(125))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -95\/2. Sort -4, -2, -2\/9, h in decreasing order.\nAnswer: h, -2\/9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by 55?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 2. Is 3 a factor of r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5 - 4 - j**3 + j**2 + j**2. Let k be l(2). Let r(s) = 52*s - 2. What are the prime factors of r(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ido when three letters picked without replacement from iiowdhddoihiooid?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930058987.\nAnswer: 11, 13, 19, 467, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -0.6431189.\nAnswer: -2.6431189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 95 = -6*q. Is q at least -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**2 + 7*r + 3. Let h(i) = -11*i**2 - 11*i - 5. Let m(v) = -5*h(v) - 8*s(v). Determine m(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + 2 + 2 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*x + 216 = 0, 2*w - 4*w + 450 = -x. Let s = 647 - w. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237 + -133 + -88 + 182\/(-11).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 2*t**3 - t**2 + (8*t**2 - 36*t**2 - 2*t**2)*(-6*t - 8 + 8) in the form j + n*t**3 + a*t + m*t**2 and give n.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + z**2 - 1 + (-2*z + 6*z + 0*z)*(-6*z + 2*z + 5*z) - z**2 + 0*z**2 + 3*z**2 - 12*z**2 - z**2 - 10*z**2 + (z + 5*z - 4*z)*(3 - 3 - 2*z).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g\/(g\/(g**3*g))*g)*g)*g*g**(-3\/11)*g*g**8*g**(-3))**(-29))**(-18) assuming g is positive.\nAnswer: g**(67338\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1667 - -36637\/22. Let g be (-2 - 1)\/((-12)\/(-56)). Calculate the common denominator of l and 2\/g*(-214)\/(-4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 10 = 5*a. Let o = 0.033 + -0.033. What is the third biggest value in 3, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1934, -1932, -1930?\n\"Answer: 2*j - 1936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(21\/22) - (-1)\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14798570 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33.2989129504503 - 54710622.7010786495497. Let q = -54710606 - b. Let h = -50 + q. Round h to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 13) to base 3.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123023 + -1?\nAnswer: 123022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2425525, -4851053, -7276581?\n\"Answer: -2425528*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/4 - 8*r**3\/3 + 4*r**2 - 15*r + 17. Calculate the remainder when m(-10) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 4. Suppose -n + 27 = -l*n. Let x = 23 + n. What is the remainder when 26 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5316920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.56801211 take away -8.3?\nAnswer: 9.86801211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6963958?\nAnswer: 2, 3481979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.5 and -1366452.30768.\nAnswer: -1366453.80768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22630\/6 + (4\/10)\/((-240)\/(-200))?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:04 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/12152 - -190\/1519. Let v(f) be the third derivative of 0 + 0*f**3 - 17*f**2 - i*f**4 + 0*f - 19\/60*f**5. Find the second derivative of v(u) wrt u.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -971 + 966. Which is the closest to 0.8? (a) 2\/3 (b) 0.4 (c) y (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3094a (base 11) to base 7.\nAnswer: 245250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23898)\/1707 + (-6)\/(-3)*37?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 5, 19 in decreasing order.\nAnswer: 19, 5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 594 = 23*c. What is the closest to 0 in -1\/6, 5, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*p**3 - 4*i**2*p**2 - 76*i**2 - 3073*i*p**3 - 3*i*p**2 + 286*p**5 + 53*p**2 wrt p?\nAnswer: 12*i**2 - 18438*i + 17160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -1484 divided by -1484?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5642591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6138\/(-1534500))\/(3\/(-60))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 44*c**2\/7 - 886*c\/7 - 120.\nAnswer: 2*(c - 35)*(c + 1)*(c + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 91*u - 6. Let m be f(10). Is m at least 705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6509131?\nAnswer: 107, 127, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-18\/7))**(-46))**(2\/13) assuming q is positive.\nAnswer: q**(-2300\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r. Give p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -7, -42, -111, -226, -399, -642, -967?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3793.6 + 3795.6. Suppose 3*i = 21 + 3. What is the second biggest value in -4, i, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-225)\/4*(351 + -355). Calculate the greatest common factor of 275 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -187, -190, -193, -196, -199?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10044, -40139, -89960, -159231, -247676?\nAnswer: -355019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 188279, 377222, 566165, 755108, 944051, 1132994?\n\"Answer: 188943*s - 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*a = a - 3, 2*p - a = 9. Suppose -p*y + 2*y + 44 = 0. What is the remainder when y is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34, 94, 202, 382, 658, 1054?\n\"Answer: 4*g**3 + 32*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*u - t, -5*u - 23 = -2*t - 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 28*i**2 - 463*i - 8805. Give g(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 38*h + 52. Let p be j(-18). What is the greatest common divisor of p and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -312 + 8*s + 312 to z*s + x and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 15. Let y(z) = -z + 7. Let b(l) = 3*t(l) + 7*y(l). Let s(p) = -1. Suppose -q = -3*h - 9 - 4, 3*q + 45 = -5*h. Determine h*s(v) - b(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 4*p**2 + 11*p - 14. Calculate f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5\/6 + 162*r**4 - 977*r**3\/6 - 648*r**2 + 1946*r\/3 = 0.\nAnswer: -973, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*q - 934 + 808 = 957 + 888 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 6 - 68*1\/(-2). Solve 32 = -15*y + w*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 8 = -136. What is the remainder when i is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: -8 divided by -497648\nAnswer: 1\/62206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s*(s\/s**(-3))\/s)\/((((s**(3\/7)*s*s)\/s)\/s)\/s**(3\/5))*(s\/((s\/(s*s**(1\/4)))\/s*s)*s*s**(-4))**39 assuming s is positive.\nAnswer: s**(-8551\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1363.99232 + 1364. What is m rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2143, -2184, -2221, -2254, -2283?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2239\/(-4478)*53\/2*5936\/(-21). Factor t - 424\/3*w + 4\/3*w**2.\nAnswer: 4*(w - 53)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2860 times 20.42\nAnswer: 58401.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**(5\/2)\/y)))\/y)**32 assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3709560 divided by -120.\nAnswer: -30913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6)\/((-1)\/26). Let c(u) = u**2 + 13*u - 7. Let r be c(m). Let t(n) = -n**3 - 6*n**2 + 7*n - 9. Determine t(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -10893*m + 10898*m + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 8*w**2 + 20*w - 6. Let h be x(-6). Let f = -51 - h. Suppose p - 6*p + 5*i + 635 = 0, -f*p + 2*i + 383 = 0. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 15*b**2 + 44*b + 38. What is the hundreds digit of w(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1160 - 1160.3. Which is the nearest to 0? (a) 1\/5 (b) -3\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.7 - -4. Let v be -6 + 30\/24 - -4. Which is the biggest value? (a) w (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674340172.\nAnswer: 2, 29, 53, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3\/2, -16, 0.4, -1\/141 in increasing order.\nAnswer: -16, -3\/2, -0.3, -1\/141, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 35 = -5*x - 4*y, -y + 22 = 4*x. Suppose x*t + 1 = 5*z - 14, t = 4*z - 18. Solve 12 - t = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245388 and 200772.\nAnswer: 2208492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*i = -8, 5*i = -11600*t + 11597*t + 88. Suppose 0 = 3*m - 9 - 3. Calculate the highest common divisor of t and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -591*a**3*u**5 + a**3*u**4 + 5*a**3*u**2 - 4*a**2*u**2 + 3*a*u**2 wrt u.\nAnswer: -35460*a**3*u**2 + 24*a**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(-9*m + 2*m - m) to c*m + s and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4295, 34369, 115993, 274943, 536995, 927925?\n\"Answer: 4296*p**3 - p**2 + 5*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6040*u**5 - u**4 + 17*u**2 + 11*u**6 - 6040*u**5 wrt u?\nAnswer: 1320*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 7*c**2 - c + 10. Let v be l(7). Let y = v + 1. Let b(m) = 4*m**2 - m. Let a be b(-1). Put a, -4, y in descending order.\nAnswer: a, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.38 - -0.08. Let l = 35.2 - 35.3. Which is the nearest to 1\/2? (a) l (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2. Let i(a) = 212718*a. Give o(i(p)).\nAnswer: -316742632668*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/11, 4, 2, -195, 57, 0.07 in decreasing order.\nAnswer: 57, 4, 3, 2, 2\/11, 0.07, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.01 (b) 0 (c) 8 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 976*o = 984*o - 5496. Let a = o - 685. Calculate the remainder when 8 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 2. Let o be d(-6). Suppose -4*l + o = 0, 5*y - 45 = -3*l - 14. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 68 = -7*f + 4*f, -2*t - 96 = -5*f. Let r(k) = -10*k + 23*k + f - 12*k. Let w be r(0). Calculate the highest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 415 - 19 = -2*l, 0 = p + 2. Solve 268 - l = 13*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 2*m**2 + 4*m**2)*(3*m - 5*m + 3*m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 20*r**2 - 31*r + 46. Let p(w) = w**3 + 21*w**2 - 30*w + 46. Let m(f) = 3*p(f) - 4*x(f). List the prime factors of m(-19).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 - -123. Suppose -y*k + l = -19122, 3*k - 12268 = -5*l + 6836. Is k 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 -2*g**4 + 106422753*g**3 + 69013702*g**2 wrt g?\nAnswer: -48*g + 638536518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6814.974 - 6809. Round u to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53670 and 2393682?\nAnswer: 11968410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - t. Let i be k(-2). Let c(g) = -8*g + 33. Suppose 5*d - 5 = -2*o + 8, -2*d = -2. Let s be c(o). Sort s, i, -1, -5 in descending order.\nAnswer: s, -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 14*d**2 + 2*d - 4. Let g be b(-7). Let f = 19 + g. Suppose -4*v - 7 - f = 0. Put -6, 0, v, -0.5 in descending order.\nAnswer: 0, -0.5, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 35. Which is the closest to -2? (a) 0.5 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 26 + (1 - 19) + (-72 - -83)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2138 + 3838. Suppose 0 = 15*x - 20*x + i. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**4\/6 - 8*z. Let n(a) = a**2. Give f(n(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c. Suppose 2*z = z + 7. Let n(y) = z*y + y - y. Determine n(s(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1533 = -10*a + 1613 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from {x: 2, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 545, 0, 4, 1 in descending order.\nAnswer: 545, 6, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37003574 divided by 27089.\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g = -21*g + 8. Suppose 2*u = -g*i + 1838, 4*u = 4*i + i + 3689. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 725, -0.3, -4\/5 in descending order.\nAnswer: 725, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let d(h) be the third derivative of h**7\/1260 + 7*h**4\/12 - 22*h**2. Let c(b) be the second derivative of d(b). Determine c(s(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2690155, -5380311, -8070467, -10760623, -13450779, -16140935?\n\"Answer: -2690156*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103666425*m**4 + 599365*m - 28.\nAnswer: -1243997100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.1. Let p(i) = -33*i**2 - 2*i - 3. Let a be p(-2). Let m = a + 653\/5. Which is bigger: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from imwwiiimmmiimiwmwm.\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 9*l**2 - 6*l + 2. Let m be w(8). Solve 5*h = -3*c - 3 - 19, 2*c = -5*h - m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/((-1*sqrt(16))\/sqrt(4)) + -1)**2 + 6*((sqrt(20) - sqrt(180)) + sqrt(20))**2 + 5.\nAnswer: 2*sqrt(5) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 6)*(-t + 4*t - t)*(1 - 2 + 4) - 8*t + 4 - 4 to the form j*t + a and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -821645 * -0.1\nAnswer: 82164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 10 + 3 - ((-980)\/(-75))\/(-7).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {z: 1, m: 1, l: 1, r: 2, v: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*12\/8*(-38)\/(-57).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*sqrt(22)\/sqrt(2)*1.\nAnswer: -4*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 614543 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0443 and -8901?\nAnswer: 8901.0443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4577*b*d*r**3 - 4*b*d*r**2 + 4*d - 1975*r**3 with respect to b.\nAnswer: 4577*d*r**3 - 4*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.003 + -14. Let i = 4.003 - x. What is the third smallest value in -0.4, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186029 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1406.06 - 1406. Sort -2\/13, f, -10 in ascending order.\nAnswer: -10, -2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 11. Let t be f(9). Suppose -16 = -3*l + t*l. Calculate the highest common divisor of 64 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*v - 32 = -102*v. Suppose 38*s - 12450 = v*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 2*y**2 + 3*y - 3. Let t be g(2). Put 2, t, -5, 1 in increasing order.\nAnswer: -5, 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 834696584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -216.653 rounded to zero dps?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1555105 (base 9) in base 7?\nAnswer: -10223453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {w: 2, c: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3252234 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4, 2*q = 45*x - 47*x - 48. Which is bigger: 31 or x?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611512 less than 611535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1830062 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 46633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1837077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 50*h + 19. Let u(t) = 8*t + 64. Let q be u(-7). Is d(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27322*c - 27362*c + 54686*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6540823 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 5) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4\/3 + 6*n**3 + 20*n**2\/3 - 24*n - 112\/3 = 0.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 264936.54 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (84992 - -1) + 4. Round a to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(21120\/(-55))*30\/3*(-10)\/(-75).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*2*(-20)\/32. Let m(k) = -102*k - 23. Is m(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 + 2*x + 2. Let d be o(-2). Let m be 3\/(-2) - 99\/d. Let w(k) = k**3 + 9*k**2 - 3*k + 8. Is w(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -11*a**2 + 5*a - 5. Let u(p) = p - 1. Let b(s) = -f(s) + 5*u(s). Let z(m) = -3*m. Give b(z(k)).\nAnswer: 99*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/16 - 9\/4. Let h(v) = 4*v**2 - 3*v - 2. What is the remainder when h(r) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*q**4*t**3 + 818*q**3*t**3 + 45624*t**3 + 7*t**2 wrt q?\nAnswer: 168*q**3*t**3 + 2454*q**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:20 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 41\/2)*5\/30?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g\/g**(-10\/9)))*g**19 assuming g is positive.\nAnswer: g**(190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*v + 15. Suppose v*f = -198075 - 31925. What is f rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/10451 in -0.4, -1\/10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 153.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891099.\nAnswer: 3, 11, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 89. Suppose 0 = -j - w + 14. Let c = j + 97. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*j + 2*j**3 + 5 - 26*j)*(-j - 5*j + 4*j).\nAnswer: -4*j**4 - 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.05, 12, 2, 2\/931, 5\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94095 is divided by 1001.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b + 2. Let x be b - 1 - (4 - 8). Solve 2*w = -15 + x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 2889.\nAnswer: 11556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 39*k**2 - 530*k - 668. Find the first derivative of n(p) wrt p.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 548.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*p)*(0 - 2 + 3).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*x = 98, t = 5*t + 4*x - 400. Let c be (2\/2)\/(6\/612). Is c at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7138055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72\/18206587 or -1?\nAnswer: 72\/18206587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 3*h - 4*h - 44 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523707 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - k + 85. Let h be q(0). Let g(u) = -3*u**2 - 2*u**2 - 86 + h + 3*u**2 + 2*u. Calculate g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 59*c - 270. Suppose -18*y = 3*l - 13*y - 106, -4 = y. Let q be i(l). Is q at least 445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 65854\/7 and 9407 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*2\/7. Suppose 0 = 44*x - 7*x - 185. Which is the biggest value? (a) x (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -14.7. Let x = y - -0.3. Let m be (48\/(-42))\/(((-1)\/4)\/(91\/(-52))). Is x not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 739910 divided by -1\nAnswer: -739910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y + 1. Let b be 25\/(-5) + 2\/y. Let s be ((-4)\/b)\/((-2)\/(-15)). Let l(u) = u**3 - 6*u**2 + 6*u - 2. Give l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 12:38 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1356480271 + 1980750271. Round q to the nearest 1000000.\nAnswer: 624000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*f - 112*f + 6 = 3*l, -2*f - 5*l = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36985*v - 37224*v - 6214 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:03 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48949 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127993 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*q = -136, -6*i + 10*i + 101 = q. Let x = 142 + i. Calculate the remainder when x is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107959568, 107959566, 107959564, 107959562, 107959560?\nAnswer: 107959558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 53. Let z = o - 21. Let l = z + 16. What is the lowest common multiple of l and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-4)*r*r)\/(r*r*r*r*r**19) assuming r is positive.\nAnswer: r**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(24\/16 - 1). What is the nearest to v in 7, -1\/5, 3, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*p**2 - 12*p**3 + 15*p**3 - 30*p**3 - 132*p**2 + 39*p**2.\nAnswer: -27*p**3 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 1 e when three letters picked without replacement from eaiidvs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x - 40. Let g be o(-7). Suppose -4*q - 68 = 7*m - 4*m, -5*q = g*m + 36. Let v be 1\/(-15)*m*(-40)\/48. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103222302 (base 4) to base 15\nAnswer: -18d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518875 is divided by 141.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*i - 7*i - 17 = 0, c + i + 1 = 0. Suppose 5*r + 35 = -c*b, -3*r = 3*b - 2*b + 21. What is the units digit of (0 - r)\/(1\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b8 (base 13) in base 5?\nAnswer: -12441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 20804?\nAnswer: 291256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 145664283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 15*b + 1. Suppose -r = 2*y - 4, -2*r + 6*r = 4*y - 8. Suppose 64 = -y*t + 222. Calculate the remainder when t is divided by n(-13).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 6*h + 5. Let t be p(8). Let r = t + 15. Let v(j) = j**3 - 4*j**2 + j. Let f be v(r). Solve f*l = -l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -366*u + 4. Let d(b) = 362*b - 3. Determine -6*d(s) - 5*r(s).\nAnswer: -342*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 68. Solve -4*a + 1 = k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -9, 0, 2 in descending order.\nAnswer: 2, 0, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 32 = -10*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4852402618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, f: 8, o: 1, m: 2}. What is prob of sequence mfou?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3216 and 5.\nAnswer: 3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 2. Let r = 5.6 - q. Let j = 0.8 + -0.6. Which is the smallest value? (a) r (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 706756.7ml?\nAnswer: 706.7567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 79 - 41 - k**3 + 4*k**2 + 2*k**2 - 3*k - 42. Let b be (84\/48)\/(1\/4). Let d be (-6 + b)*(-10)\/(-2). Give w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2 - 3 + 205*k + 14 + 61*k to z + j*k and give j.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n. Let d(y) = -19*y**2 - 2. What is o(d(z))?\nAnswer: -57*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -4. Let w = -113 - -240. Let b = w + -105. Sort 0, b, d.\nAnswer: d, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 59*f - 79. Give o(4).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 50*n - 586. List the prime factors of t(26).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6.2 (b) 1067 (c) 1 (d) -2 (e) -3 (f) 5 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*w**3 - 142617*w**2\/2 + 677145*w\/2 + 89100 = 0. What is w?\nAnswer: -1\/4, 5, 11880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -997*o**2\/4 + 501*o - 5 = 0.\nAnswer: 10\/997, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20153561.4ms in days?\nAnswer: 0.2332588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*l*m*y**3*z**2 - 310*l*m - 6*m*y**3 + 2*m*y*z**2 + m + 4*y**3*z**2 + 17*z**2 wrt l?\nAnswer: 38*m*y**3*z**2 - 310*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16629, 19867, 25253, 32781, 42445, 54239, 68157, 84193?\nAnswer: 102341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -286 + 370. Suppose -129*c + w = -303. Factor 0 + 3\/2*n - 1\/4*n**2 - 1\/4*n**c.\nAnswer: -n*(n - 2)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4490 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44221 and 482.97785.\nAnswer: -43738.02215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -707475*j**4 - 132*j**3 - 6360823*j - 46 wrt j.\nAnswer: -8489700*j**2 - 792*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1175160, 2350324, 3525486, 4700646?\nAnswer: 5875804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 5316075 + 10632150 - 7*j**2 - 5316075.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-924)\/42)\/(-11)*57*2\/((-24)\/4).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -1.1311 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7535095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + (-6)\/21. Solve 0 = -r + 5*f - 18, i*f = -2*r + 5*f - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 130?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 1\/6, -3, -0.4, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0, 23\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 - -1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2968995 (base 10) in base 14?\nAnswer: 573dd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c + 9. Let u be r(6). What is the highest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3622 - -3624. Suppose -4*t = -3*z - 6, -4*t + 2*z + 11 = t. Solve -10 = -0*x - t*x - a*i, i = 4*x - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4552549452.\nAnswer: 2, 3, 11, 11496337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -12)\/((-50)\/15) + 1159\/171 + -8.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a - 3*n - 196 = 0, 3*n = -5*a + 184. What is the remainder when a is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 963 + -602. Let r = -373 + x. Let b be (-20)\/(-14)*(-7 - 1). Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/2)*n)\/n*n**22)**(-8))**(-3\/4) assuming n is positive.\nAnswer: n**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 88 + 4*k**2 + 2*k**2 + k**3 - 3*k**2. Let q be a(0). What is the units digit of q\/24 - (-4)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -387*b**2*t**2 - 2*b**2 - 10*b*t**2 - b*t - 2*b - 9*t**2 + 18151 wrt t?\nAnswer: -774*b**2 - 20*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 8954.\nAnswer: 13\/4477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -6 - 9 + 16*q**3 - 16*q - 5*q**2 + 3*q**2 + 23 - 6*q**4 = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613.491mg in grams?\nAnswer: 2.613491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/4)\/(1\/(12\/3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19317569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/3 + x**3\/2 - 2*x**2 - 5*x + 26. Determine q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 185221.8 years?\nAnswer: 2222661.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/126)\/(5\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*c - 7 - 3, -5*o = 2*c - 9. Suppose c*t - 6*t - 3*i = -259, 0 = 3*t - i - 191. What is the highest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12540491.11 less than 172?\nAnswer: 12540663.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4870700, -4870765, -4870822, -4870865, -4870888, -4870885, -4870850?\nAnswer: -4870777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 126. Let a = 61 + g. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -13.6. What is the nearest to 0 in -4, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 + 116 = -93*n - 48 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 40 - 30*c to o*c + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/30)\/(3\/15). What is the nearest to -0.3 in 28\/5, l, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.06362456 and 4?\nAnswer: 2.93637544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/80 - -37\/240. Suppose 41 + 15 = 7*v. Suppose 0 = -8*x + v - 32. What is the closest to 0 in x, 3\/8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**2\/2 + 3*b + 4. Give n(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 8. Let l(a) = -2*a - 3*a + 6*a**3 - a**2 - 5*a**3 + w - 3*a**2. What are the prime factors of l(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*s**3 + 2*s**3 + 7*s**3 - 3*s**3 - 7*s**2 - 8*s**3 to the form l*s**2 + n + x*s**3 + d*s and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22839738 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19322 - 22697 = -d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.0616 (c) 0 (d) -3\/47 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 480\/13 and 36 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 + -7)) + 39 + -6?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + 0.52. Let u be 1\/((5\/(-30))\/((-2)\/4)). Sort q, 2\/13, u in descending order.\nAnswer: u, q, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-89)\/((-6230)\/(-100))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0002 * -0.5.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s + 65. Let w be c(-6). Let x = 1.3 + -0.3. What is the closest to -2\/5 in w, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24678 by 8226.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.148216ml to litres.\nAnswer: 0.006148216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqwjsqe. Give prob of picking 1 p and 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 881523712, 881523711, 881523710, 881523709?\nAnswer: 881523708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r - 6. Let z(c) = 11*c - 13. Let h(j) = 13*n(j) - 6*z(j). Let p(q) = -13*q**2 - 11*q**2 + 25*q**2. Determine p(h(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (41 + -37)*(-5)\/140. What is the nearest to 110 in -5, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 41 = -93*d + 91*d, 0 = 3*t - d - 47 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 19, 380 in descending order.\nAnswer: 380, 19, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2014*k + 10070. Let c be r(-5). Solve c = -p + 3*b + 20, -4*p + 21 = -3*b - 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 2022277.9?\nAnswer: 4044555.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 - -13) - -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-1\/13)\/u*u*u\/u**8 assuming u is positive.\nAnswer: u**(-79\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -245, -151, -57?\n\"Answer: 94*c - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9642234 and 21918?\nAnswer: 125349042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6))**(-1\/49)*(i**5)**(3\/5) assuming i is positive.\nAnswer: i**(153\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -50, 1, 25 in descending order.\nAnswer: 25, 11, 1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, b: 1, p: 2, f: 3, v: 1}. What is prob of sequence fv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 389125 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/((-39)\/(-273)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1010001011101100111000 (base 2) to base 10\nAnswer: -2669368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79\/4 - -81\/4. What is the closest to d in 2, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13116 or 13121?\nAnswer: 13121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.003, 9, -130, 4, -0.1, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/281600 and -19\/110?\nAnswer: 281600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22\/7, -5, -0.2, -0.1, 5, 0.293?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*y - 52 + 52 + (-2*y + 0*y + 3*y)*(-1 + 1 - 1))*(8 + 1 + 3*y - 4*y).\nAnswer: -110*y**2 + 990*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -13312302022220?\nAnswer: 13312302022231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = -2*f. Let v = f - 1. Let k(n) = 2*n - 3. What is the remainder when v is divided by k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67b9 (base 12) to base 10\nAnswer: 11517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43790 divided by 6.\nAnswer: 21895\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3088013058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(7488) + -4)**2 - (2*(sqrt(1872) + -1 + sqrt(1872)))**2) + 0.\nAnswer: -44864 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y**2 + 18*y - 16. Let a be h(1). Solve a*x + 5*c = 4*x - 3, 2*c = -2*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -s - 11, 5*l - s - 29 + 38 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -169786.\nAnswer: 67914.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513174741 + 12*x**2 + 513174741.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33307, 66834, 100359, 133882, 167403, 200922, 234439?\nAnswer: 267954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*j + 133 - 2, -4*a = -3*j - 176. Calculate the remainder when 1147 is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6337*z**3 - 24*z - 3167*z**3 - 3167*z**3 + 24*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5469 = -45*h + 4209 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 13, -2 in ascending order.\nAnswer: -2, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 519613834?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4063, -15465, -34447, -61009?\nAnswer: -95151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3*(-3)\/36). Suppose 6*w = 7*w - j. Suppose 5*i = -l + 43, -5*i - 13*l + 16*l + 31 = 0. Solve -w*a + i - 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-429) + 111\/39?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x. Let z(j) be the second derivative of -j**3 - 47*j. Determine t(z(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1625.1 + -1519. Let m = -106 + h. Which is the nearest to -3\/7? (a) m (b) 7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let i(k) = -k**3 - 6*k**2 - 3*k + 5. Let j be i(-4). Let r = 73\/5 + j. Which is the closest to -1\/3? (a) z (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2804 or -1925?\nAnswer: 2804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 98, 133, 186, 257, 346?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(6*r**2 + 11 - 11)*(2*r**3 - 3*r**3 - r**3).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 215*t**3 + 4*t**2 - 8*t + 25. Is b(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w - s, 4 = s. Solve -g = w*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + -2*sqrt(833) + sqrt(17)))**2.\nAnswer: 702*sqrt(17) + 25938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-10) + (-927998)\/8*2. Round w to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.8261 centuries to years.\nAnswer: 1882.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2141321 + -424?\nAnswer: 2140564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40176*v**2 - 19467*v**2 - 20060*v**2.\nAnswer: 649*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-6) + (-35)\/((-3465)\/3348642) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/(-2)) - -7. Suppose 3 = -3*r + t. Are 2 and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/9 + 0\/(-2). Let u = 37.048 + -37. Let q = -0.148 + u. Which is the biggest value? (a) q (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 57 + 55. What are the prime factors of 90\/(i\/(-7) + (-42)\/(-9))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/3928 and -7\/5892.\nAnswer: 11784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6651094.\nAnswer: 2, 23, 144589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 9:15 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3352 by 4.\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((2 + -20)\/(-180)). Sort r, 21, -2, -3.\nAnswer: r, -3, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746 is divided by 345?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c - 139. Determine z(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (41 - 13) + -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16115 take away 9.4197?\nAnswer: -16124.4197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**3 + 5*l**2 + 7*l + 7. Let s be g(-11). Round s to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixibibxsbxxdibhhx. What is prob of sequence dxhh?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*s - 2*u, -3 = -3*u - 0. Suppose s*o = -o + 35. Let h(v) = v**2 - 2*v - 1. What is the lowest common multiple of o and h(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2, 1.55, 13 in ascending order.\nAnswer: -3, -1, 1.55, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 1, l: 1}. What is prob of sequence lt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 1\/60*l**5 - 3\/8*l**4 + 2*l**2 + 0*l + 0 + 11\/6*l**3. Is w(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let t(q) = 4*q - 5 + q + 2*q. Let h(r) = -2*b(r) + t(r). Is 19 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*s + 0*s + 4*s + 34 wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 11*w - 16. Let a be d(-12). Let z be a\/(-10) + 1\/5. Suppose -195 = -4*v + z*b, b + 165 = 3*v + 5*b. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*l - 1260 = 18*l. What is the remainder when 177 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 201, 453, 719, 999, 1293?\n\"Answer: 7*z**2 + 231*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -427 bigger than -168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 53*r**2 + 22*r**2 + 29*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*j + 506086 = -233*j. What are the prime factors of j?\nAnswer: 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*y**3 + 3*y**3 - 4*y**3)*(-1 + 3 - 5) as m*y + j*y**3 + o + l*y**2 and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011011011000100 (base 2) in base 7?\nAnswer: 2032416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/5 + 29248*k**2 - 266740800*k - 10716480000.\nAnswer: -4*(k - 18300)**2*(k + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -0.991449?\nAnswer: -29.008551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 10 = -2*o, 12 = -f - 3*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512.2221ng to micrograms.\nAnswer: 0.5122221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 7\/6 (b) -0.0622 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*b**2 - 27*b + 41*b**2 + 14*b**2 wrt b?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) -0.1 (c) 14 (d) -6841 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 3520465?\nAnswer: 3520501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2 - 12951*w - 28740540 = 0.\nAnswer: -1615, 5932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 553 and 7592444.\nAnswer: 7592997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3\/6 + m**2 - 6*m. Let k be g(7). What is the highest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Let h(g) = -g**3 - g**2 + 2*g + 2. Let o be h(b). Suppose 0 = 3*s - 35 + o. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 596340.\nAnswer: 2385360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 318717697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 1. Calculate the remainder when j(10) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13463 - -33140. What are the prime factors of m?\nAnswer: 3, 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2316*o - 2332*o = -48. Let c(w) = w + 13. Calculate the remainder when c(0) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 617\/(-4) - (-60)\/(-80). Let x = g - -155. Suppose -2*c + u + 3313 = -4*u, 4*u - 20 = x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:13 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3444*u - 1088253. What is i(316)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 8*w**2 + 6*w - 42. Calculate b(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8\/5)\/(t*(t*t\/t**(1\/4)*t)\/t*t)*(t*t**(-1\/6)*t)\/((t*(((t\/t**(-4\/7))\/t)\/t)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-1297\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3072 + 3105. Calculate the greatest common divisor of k and 759.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 + 6 = -2*d, 5*d = -5*o - 10. Sort 24, -2, 5, d in ascending order.\nAnswer: -2, d, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.037013*-156.\nAnswer: 5.774028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -618 divided by 6\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + 2*a**2 + 5*a - 4. Let n(b) = -2*b**3 - 81*b**2 + 508*b + 93. Let v be n(-46). Let f(t) = t - 1. Determine v*j(c) - 6*f(c).\nAnswer: -3*c**3 + 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 18. Find the common denominator of 47\/2 and (-147)\/o*(-13)\/117.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3206 + 2656 = -50*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + h. Let r(t) be the third derivative of -t**5\/20 + t**4\/12 - t**2. Let w = -49783 - -49778. Calculate w*r(s) + 7*q(s).\nAnswer: s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s**2 - s. Let z be u(1). Suppose -23 = -2*l - z*y, -3 + 1 = 2*y. Let b = l - 6. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*(c**(-6)*c*c)\/c)\/c)\/c**3)\/(c**0*c*c)**(-19\/2) assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o - 1. Let g(j) = -5*j**2 - 7202*j + 4. What is -g(x) - 6*i(x)?\nAnswer: -x**2 + 7214*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2068, 2000, 1954, 1936, 1952, 2008?\nAnswer: 2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91454*g + 87 = -91425*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-5)\/h))**(-17)*(h\/(h*h*h**(-2)))\/(h**(-12)*h) assuming h is positive.\nAnswer: h**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/3)\/(13\/(-208)*200)\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*u + 4 - 4 + (-5 + 1 + 6)*(-4*u + u + 2*u) + 0*u - 2*u + 0*u - 3*u + 2*u + 2*u + (-1 + 1 + 2)*(3*u - 3*u + 2*u).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 296 + -119. List the prime factors of l.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160 (base 11) to base 14.\nAnswer: d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1507 and 9\/7299497.\nAnswer: 80294467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c = -k + 22*c, 2*c = 5*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x**5 - 33*x**4 + 40*x**3 - 21*x**2 + x + 3. Let n(m) = 11*m**5 - 34*m**4 + 39*m**3 - 20*m**2 + 4. Let t(z) = 4*c(z) - 3*n(z). Factor t(y).\nAnswer: y*(y - 2)*(y - 1)**2*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n + 93*n + 36*n + 18*n**2.\nAnswer: 18*n**2 + 114*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*i - 29063 = -191*i - 212*i + 9337 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 135\/18*(-36)\/30. What is the hundreds digit of (-8)\/(216\/813)*f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 393824\/719 or 549?\nAnswer: 393824\/719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2956117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g + 9. Let q(i) = i - 17. Let w(t) = 3*q(t) - r(t). Let f(p) = 5*p**2. Give w(f(y)).\nAnswer: -10*y**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26986278?\nAnswer: 2, 3, 11, 61, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -524a67 (base 12) to base 14\nAnswer: -259851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - n + 1 - 2 - n + 2 + (3 - 4 + 3)*(2*n + n - 2*n) - 2*n + 8*n - 3*n)*(2 - 2 - 2) in the form y*n + k and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019492651 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -286 - -284. What is the smallest value in -1, -2\/43, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, b: 2, m: 2, k: 2}. Give prob of sequence bo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 5:56 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3114 is divided by 155?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 107. Let s be w\/7 - 6\/(-21). Suppose s*b = 6, 55 = 3*a + 2*b + 22. Calculate the greatest common divisor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*k - 1105*k - 808*k = 845*k + 14539 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12*o**2 + 19*o + 4. Let y(j) = -12*j**2 - 24*j - 5. Determine 6*w(n) + 5*y(n).\nAnswer: 12*n**2 - 6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 5*i**2 - 6*i + 8. Let r be c(4). Let j = 3 + -2. Sort -1, r, j in decreasing order.\nAnswer: j, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/7 + 147600*k\/7 - 1476200\/7 = 0.\nAnswer: -73810, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**2 - 230*x = 0.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1029372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 495724555193005 and -0.4.\nAnswer: 495724555193004.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16571 + 16813. What is the greatest common factor of 33 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 5*u**2 + 2*u - 2. Is k(5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 - 8*a**2\/3 - 631*a\/6 + 323\/3.\nAnswer: (a - 34)*(a - 1)*(a + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30908488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:25 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t - 2. Let h be x(0). Suppose 0*k = 4*k - 12, -2*j + 4*k = -8. Let v(s) = s - 11. Let b be v(j). Is h at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441 is divided by 90.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-2*(-20)\/8. Suppose -4*y - n*p + 23 = -12, -5*y = 5*p - 50. Suppose 3*i = 3*d + 21, -y = -8*d + 5*d. 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: Let m = 0 + 5. Suppose m*k = k + 100. What is the remainder when k is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -587?\nAnswer: 2\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -826, -750, -552, -172, 450, 1374?\n\"Answer: 10*p**3 + p**2 + 3*p - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a + 2*c, -4*a + 1 = -c - 10. What is the remainder when (-4 - 72\/(-15))*5 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393819 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1427 + 2334*r - 1164*r - 1169*r)*(1 + 0 + 1) to the form s + j*r and give s.\nAnswer: 2854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/11))**17*d**3*d*d\/(((((d\/(d*d**(-6)\/d)*d)\/d)\/d)\/d)\/d*d))**(2\/81) assuming d is positive.\nAnswer: d**(68\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 6*l + l)*(l + 142 - 169 - 4*l).\nAnswer: 24*l**2 + 216*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 184 times -0.2\nAnswer: -36.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - -34. Suppose -4 = -2*a + x - 36, 3*x = 4*a + w. What is a rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060501 rounded to 3 decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9 - 11*r**3 - r + 9*r**3 - r - 6*r**2. Is u(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86250717 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -8512144\nAnswer: -2553643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233847 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 22*k**2 - 3*k**2 + 22*k**2 - 11*k**2. Let y(i) be the second derivative of i**3\/6 + 18*i. What is j(y(v))?\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - z = -5*z, -3*v = 956*z - 955*z + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 56, 84, 124, 176, 240?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -968 = -1649*n + 1407*n. Sort 5, 0.08, -1, -3\/8, n in decreasing order.\nAnswer: 5, n, 0.08, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*o - 37*o + 46*o + 16082 = -227*o for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2 - -12) + 1 + -8 + 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -539 (base 16) in base 15?\nAnswer: -5e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66047567*h**6 + 3892212*h**2 + h + 4.\nAnswer: -7925708040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*g + r = -172, -244*g - 250*g + 496*g - 148 = -4*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = -12. Suppose 5*d + c + 10 = 0, -5*d + 0*c = -4*c + 10. Let m be ((-18)\/y)\/d*-2. Let s(i) = i**2 - 5*i - 8. Determine s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a5 + 115041?\nAnswer: 114247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3228 divide 141803683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 34. Let j = z + -9.96. Let q = 0.46 + j. Which is the nearest to 1\/4? (a) 2\/9 (b) q (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 3*o - 9 + 14 = -12 + 35, -5*m + 21*o + 109 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -35*z**2 + 3. Let h(s) = -s**2 - 1. Determine -4*h(c) - y(c).\nAnswer: 39*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.200000354 + -20.2. Round w to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29446166, 58892343, 88338534, 117784745, 147230982, 176677251, 206123558, 235569909?\n\"Answer: a**3 + a**2 + 29446167*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 4. Let q(y) = -y**3 + 8*y**2 + 10*y - 6. Let w be q(o). Solve 3*v - 6 = -m, -2*v = 3*m + w*v - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:52 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -36139*y - 216832. Determine b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((4\/(-6))\/((600\/198)\/25)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-16))\/(3\/(-4))*6. Solve 0 + 16*p**4 + 0*p + 6*p**x + 32\/3*p**5 + 2\/3*p**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*t - 84 = 0, -v + 40 - 7 = 2*t. Let f = v + -5. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 - -83)*(-1 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 + 32*r**4 + 60*r**3 - 32*r**2 - 64*r = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 73686897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.326638942 to 4 decimal places.\nAnswer: 0.3266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2a6c8 (base 15) to base 14\nAnswer: 37a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:45 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 45*o**2 - 43*o + 50. Determine a(-44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10873*f**3 - f + 3111?\nAnswer: 65238*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 5*d**2 + 16*d - 13. What are the prime factors of l(-9)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from uueububeuuue?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - 2) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -506.1?\nAnswer: -506.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Suppose -6 = -2*t - t. Let s be l(t). Suppose c = s*c. Solve c = -g - 3 + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1110363 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-9\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 116. What is the remainder when z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345634 by 345634.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6274 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 + (-2)\/4. Let a be ((-4)\/24*-1)\/3. Do a and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 59867530?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 99604 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*(p**(-6)\/p)\/p)\/p*p*p*p)\/(p*p**(-4\/3)*p))\/((p\/p**(7\/4))\/p**9) assuming p is positive.\nAnswer: p**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243456?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 - (-22)\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101\/288 + -3\/32. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*w - w + 44, 0 = 5*z - 2*w + 43. What is the common denominator of (1\/21*15)\/(12\/z) and 41\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + z - 6*z + 192, 0 = g + 4*z - 191. Let k = 4 + 0. Suppose k = -5*a + 89. What is the greatest common divisor of g and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 11*t**2 - 9*t - 18. Let y be w(12). Let a be (5\/15)\/(2\/y). Solve 4 = -a*p + 5*x, -10 + 0 = -5*x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3)*((-9226)\/(-770) - 8 - 4)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 - 9*q**3 - q**3 - 3*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*a = -243*a + 1840. Put 71, -3, 2, a in increasing order.\nAnswer: -3, 2, a, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/7, -2\/21, 1\/2, -0.9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 + 245. Let v = s + -102. Suppose -2 = d - 3. Solve o + 2*h + d = 3, v = -5*o - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206*g**3*p**3 + 65*g**3*p + 419*g**2*p + 2966*g - 2*p**3 + 34*p wrt g?\nAnswer: -1236*g*p**3 + 390*g*p + 838*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1874 = 22*q + 12558. Are -656 and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-135)\/(-1710)).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 - 54*q**2 + 15*q + 79. What are the prime factors of o(-14)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/40420444 and -2\/50525555?\nAnswer: 202102220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219062191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 69 + 0*o + o - 42 - 27. Let c(w) = -68*w**2 - 3*w. What is z(c(g))?\nAnswer: -68*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (7 - (-15 + 24 + -5))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.439 - -4.561. Let r(x) = -2*x + 8. Let n be r(6). What is the nearest to 2 in f, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 1. Let l be (5\/(15\/(-9)))\/(16 - 13). What is t(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*t - 45410 = 142*t. List the prime factors of t.\nAnswer: 5, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 6*g + 7. Let k be h(-5). Let y(p) = -p + 3. Let f(n) = -n + 2. Let d(r) = k*y(r) - 3*f(r). Let b(a) = 15*a**2. Give b(d(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -7057.\nAnswer: 85\/7057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/102 and 43\/38.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -2\/7, 205\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*p + 994 = 250*p. Let o be p - ((-3)\/1 + 4)*-2. Which is bigger: -137 or o?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 1396 = -16*s, -5*q = -4503*s + 4498*s + 455 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v + 5 = 0. Let c be v + (-2 - 2)*-1. Let p be (c*-2)\/(18\/(-27)). What is the highest common divisor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.7, -27 in decreasing order.\nAnswer: -0.7, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 4*c**2 + 3*c + 5. Let a be d(-5). Let l be (-200)\/a*-10*(-3246)\/8. Round l to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5580*o - 495. Let n(v) = -579 + 1731 - 45*v - 568 - 580. Calculate 4*f(y) + 495*n(y).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2 - (-2 - -2)). Let x = b + 4. Suppose -x*u = -2*u. Which is smaller: -2\/7 or u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m**2 + 4*m - m**3 - 6 + 3\/4*m**4 - 1\/10*m**6 + 0*m**5. Let w(j) be the first derivative of n(j). What is y in w(y) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -463 + 713. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -15. Suppose -n*t + 54 = -11*t. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558874 (base 10) in base 7?\nAnswer: 16151552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0\/h)**(-10)\/(h\/(h\/h**(3\/4))*h*h*h**(-2\/7)))**(-2\/81))**18 assuming h is positive.\nAnswer: h**(-211\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -60, -141, -278, -489, -792?\n\"Answer: -3*h**3 - h**2 - 19*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1119 + 1118. Which is the third smallest value? (a) 0.4 (b) o (c) 0.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.3 (b) -1\/6 (c) -1.208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*f + 40 = 0, 4*f + 17 = 1. Let g be h\/(-32) + 1 + 3\/(-4). Determine n, given that -1\/4*n**2 + g*n + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58748 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/5 - 28\/15. Suppose 132*b - 8*f = 134*b - 96, 3*b = -4*f + 72. Sort -2, r, -0.1, b in increasing order.\nAnswer: -2, r, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 3 + 4 + 0. Let h be x(2). Let t(r) = 5*r - 22. Let y be t(5). Put h, y, -4 in descending order.\nAnswer: h, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30810*d*q + 10*d - 669996*q - 2 with respect to d.\nAnswer: 30810*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*p - 66 = -2*m + 140*p, 0 = 2*m - p - 101. Solve -m*s = -48*s - 3*t - 9, -t = 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(sqrt(612) + sqrt(17)) - sqrt(17)) + 4)*6.\nAnswer: -288*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, k: 2, t: 6, g: 1}. What is prob of picking 1 g, 1 k, and 1 t?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 37.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:40 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u - 2052 = 38*u + 768 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1173 divide 386434883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 2. Suppose 0 = 3*t - c, -y + 6 = 2*t - 1. Let z = 33482 - 33480. Solve 5*h - 15 = -q, z*h = -q + 8 + y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 - z**4 + 3*z + 3*z**3 - 2*z**2 - 2*z**3 + 2 to the form q + w*z**3 + j*z + c*z**4 + x*z**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229*o**2 - o + 104 wrt o.\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*o**3 - 43*o**3 + 173*o**3 - 33*o**3 - 51*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 675*f**2 + 105*f - 105. Let n(x) = -13*x**2 - 2*x + 2. Let s(d) = 2*h(d) + 105*n(d). Let k(j) = -j. Calculate k(s(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 67 + 117 - 577*p - 221*p.\nAnswer: -798*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 = 2*x - 384 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxssxxxsxxxxxx. Give prob of sequence xs.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 6*p - 8. Suppose 5*l = -15, -5*o + 7*l - 10 = 2*l. Let s be a(o). Put -1, 3, s in ascending order.\nAnswer: s, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**5\/4 + 15*y**4\/4 + 21*y**3\/4 + 9*y**2\/4 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.5 - 26. What is the nearest to 1\/4 in 1\/2, -1\/4, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 10*l**2 + 18*l + 82. Let i be a(-11). Find the second derivative of -7562*z**3 + 7562*z**3 + z + 71*z**5 + 12 + 27*z**i wrt z.\nAnswer: 1960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {k: 7, u: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {e: 1, d: 1, y: 4, b: 2, j: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fupf. Give prob of sequence pu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3172034851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1cb6c5 - 1?\nAnswer: -1cb6c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-3)*-1)\/((-60)\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 4, 7, 34, 85, 160, 259?\n\"Answer: 12*y**2 - 57*y + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17517.\nAnswer: 3, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3)*t)**(-3\/11)*t\/t**10*t**3 assuming t is positive.\nAnswer: t**(-65\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -61443*q + 122893*q - 61448*q. Let g(x) = 19*x**2 + 5. Let k(s) = -29*s**2 - 8. Let m(o) = 8*g(o) + 5*k(o). Give a(m(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3147*o + 2720 wrt o?\nAnswer: 3147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -211*o**2 - 552*o + 1238. What is x(-4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*x - 2 = 0, -q - 5906 + 5915 = -4*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14801 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1, -9\/4, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1856\/(-29)*1\/(-2). Calculate the greatest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393121256.\nAnswer: 2, 11, 406117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*9\/3*12\/(864\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003158040584 rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 4*a**2 - 8*a - 11. Let s be f(-5). Let x(w) = 5 - 8*w + 9*w - s. Let l(g) = -g - 1. Give -5*l(y) - 4*x(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7125345.\nAnswer: 3, 5, 158341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*c - 47*c + 6. Suppose c*t - 5 = -8. What is the units digit of t\/2 - (129\/(-2) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 60*m + 2. Let h be t(-30). Suppose 5*n - h = -3*l, -5*l - 11 = 3*n - 9. Let u = -218 + 6760\/31. Do u and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 6*j + 2*j)*(6*j - 3*j - 24*j)*(-2 - 2 + 2).\nAnswer: -336*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*w**4 - 305*w**3 - 200*w**2 + 60*w.\nAnswer: -5*w*(w + 1)*(w + 6)*(9*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 15 = 7*a. Suppose 16 = 4*z + 4*p - 8, z = a*p - 2. Factor 0*b + 11*b**4 - b**2 - 10*b**z + b**3 - b.\nAnswer: b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10946 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 7*f - 6. Let d be n(5). Suppose 0 = j + 4*j - q - 20, -5*j - d*q + 20 = 0. Suppose -y - 3 = -j*y. Sort 5, y, -5 in descending order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102602 and 8642.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10872*c**2 - 5590*c**2 - 5656*c**2.\nAnswer: -374*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 13581.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2. Let f(s) be the second derivative of -29*s**4\/12 + 13*s. What is z(f(v))?\nAnswer: -841*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7229, 16688, 26147?\nAnswer: 35606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let u(i) = 1421 - 4*i - 1424 + 10*i. Give -4*k(l) + u(l).\nAnswer: 10*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -30, -25, -18, -9?\n\"Answer: l**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 0) + (19 + 8 - 9) + -15 + 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 32*g**3 + 10*g**2 - 10. Let l(s) = -s**3 - s**2 + 1. Determine 20*l(h) + 2*t(h).\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8091 = -6*x. Suppose -6*q + 1465 = -x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*a*j**2 - 2992*j**2 wrt a?\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 51*m + 147 + 110 - 484 + 115.\nAnswer: -51*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, -0.183, -0.246, 230\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 6*y**2 + 0*y**2 + 36 - 2.\nAnswer: 2*y**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + t + 2. Calculate the smallest common multiple of l(-2) and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 32. Let d be w(8). Suppose 7*u + 4 + 52 = d. Let a(v) = -v**3 - 8*v**2 - 5. Calculate a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3685 divided by -43651\nAnswer: -3685\/43651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 187 = 9*m - 6*m, -129 = -2*m - 3*b. Solve m = 20*g - 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.0190162.\nAnswer: 0.00380324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2 - 12 + n**3 - 8*n**2 - n**2 + 9*n. Calculate f(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95.96 + 95.86. Which is the nearest to -73? (a) s (b) 5 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 4*j - 42. Let m be r(9). Solve -4 + 19 = -m*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0*t**4 + 5*t + 0*t**5 + 2*t**6 + 2 + 0*t**2 - 35\/6*t**3. What is the second derivative of o(k) wrt k?\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028470 (base 9) in base 11?\nAnswer: -3468a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -4\/7, -12, 4, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-6) + 870\/(-1305).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*n - 5*n**2 + 3*n**2 + 4*n - 2*n + 3*n**2 - 1076*n**3 as g*n**2 + f + w*n + y*n**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 1. Let t be y(3). Let h(z) = -t*z**2 - z**2 + 4*z**2. Let u(b) = b**2. Determine h(u(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 1\/((-3)\/(-27)). Solve o**2 + 4*o + 13*o**2 - 6 - l*o**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 633452*108.9\nAnswer: 68982922.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(325) + 5 + 0)**2 - (0 + 2*sqrt(325) + sqrt(325) + sqrt(325)*1 + -2 + 5)**2.\nAnswer: -3909 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2884000 by 360500.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*d - 2*o, d + o + 2 = 5*d. Let i(y) = -y**2 - 1. Let u(w) = -11*w**2 - w - 3. Let t(v) = -3*i(v) + u(v). Calculate t(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25637*p + 11164 wrt p.\nAnswer: 25637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11783*z + 70832. Calculate u(-6).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -124*1*6\/(-4). Let a = 353 - s. List the prime factors of a.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**5\/60 - 5*k**4\/12 + k**3\/2 + 3*k**2. Is i(10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 5:58 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 542 + 5?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -58*g + 57*g - 17, -15 = 5*g + q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 3 = -5*k - 3*i, 0 = 3*k + 11*i - 516 + 505 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 2. Let t(l) be the first derivative of 2 + 4*l + 0 + l - 3*l**2. Let j(s) = -s**2 - 6*s - 11. Let q be j(0). Calculate q*x(w) - 4*t(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44\/25 + -3769\/3150. Let r = 11\/14 - a. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - b + 20 = -6*b, 4*b = 2*q - 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q + 3*q - q**3 + 10*q**2 + 8*q.\nAnswer: -q**3 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3454 divided by 403?\nAnswer: -3454\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -o + 19 - 1, 2*s + 6 = 4*o. Suppose -3*c + c - 962 = -s*n, -3*n = -5*c - 956. Let h = n - 214. What is the highest common factor of 27 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/12*(-46266 - (-21 - -19)) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 7. Suppose 5*c + o - 27 = 0. Suppose -c*b - 2*v + 592 = 2*v, 2*b - 5*v = 289. What is the greatest common factor of b and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k**2 - 15. Let a(z) = -2209*z**2 + 2210*z**2 - 1 - 4*z + 4*z. Determine -15*a(y) + m(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3593013 nanometers to centimeters.\nAnswer: 0.00000003593013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1506\/1085 - -46\/217. Let 0*g**2 + 0 + 0*g - 2\/5*g**5 + f*g**4 - 8\/5*g**3 = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 562407631 - -1?\nAnswer: 562407632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 19927531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 4*v + 23. Let n be z(0). Differentiate 4*y - 35 + n + 53*y with respect to y.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = -2*d, -7*d = -3*d + 2*o - 6. Sort d, 3, -1\/4 in decreasing order.\nAnswer: 3, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.2, -1, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11734*h**2 + 188*h**3 + 192*h**3 + 201*h**3 - 583*h**3 - 11734*h**2 - 14*h.\nAnswer: -2*h**3 - 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 + 5096\/84)*(48\/20 - 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 9*t**2 - 12*t - 13. Determine i(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 10:02 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k**2\/5 + 3164*k - 1672272\/5 = 0. What is k?\nAnswer: 1106\/9, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 + -fb9bb?\nAnswer: -fb9e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-375)\/9 + (4\/(-3))\/4. Suppose 35 - 8 = -3*b. What is the remainder when (-15)\/(-10)*m\/b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.059 (b) 6.868 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/118 and 45\/27376?\nAnswer: 27376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(8\/64)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -251405.16 rounded to the nearest 100?\nAnswer: -251400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17443*p**3 - 3*p**2 + 2*p + 69 wrt p?\nAnswer: -104658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 9. Let d be j(-8). Let i = 15 + d. Let g = i - -63. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 4*n**5\/5 + n**3\/6 - n**2. Let s(t) = -470*t - 21. Let l(q) = -134*q - 6. Let j(v) = -7*l(v) + 2*s(v). Calculate j(c(y)).\nAnswer: -96*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -204980772 and 0.1?\nAnswer: 204980772.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6\/39) + -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 207*a**3 - 45*a - 137. Let k be o(-3). Are -16775\/3 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*p - 224*p + 194*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/15 + 28*l\/15 + 16.\nAnswer: -2*(l - 20)*(l + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96746955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 497905179 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74925\/8 - -9352. Let z = l + 1361\/104. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -86, -60, -40, -26?\n\"Answer: -3*s**2 + 35*s - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 3*n**2 + n**2)*(-1 + 1 + 2*n**3) - n**3 + n**3 - 2*n**5 + (n - 5*n + 2*n)*(-5*n**4 + n**4 + 2*n**4).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 453, 459, 477, 513, 573, 663?\n\"Answer: s**3 - s + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*(186\/(-124))\/(2\/16*-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 3, q: 5, d: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 10:14 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 4*t**2 - 20*t - 9. Let u be d(-4). Let j(y) = -16*y - 7. Let c(a) = -8*a - 4. Calculate u*c(w) - 4*j(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30\/13 (b) 0.7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98878, 197734, 296590, 395446, 494302, 593158?\nAnswer: 692014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 9) to base 6.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -103*z**2 - 25830*z + 19423. Let g(v) = -17*v**2 - 4305*v + 3237. Let l(u) = -3*f(u) + 17*g(u). Find j, given that l(j) = 0.\nAnswer: -216, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*21\/(-7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*v**2 - 2*g**3*v + 608*g**3 - 106*g**2*v**2 - 8*g**2 - 2*g - 28*v**4 + v + 6 wrt v?\nAnswer: 4*g**3 - 212*g**2 - 336*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 7, q: 1, d: 2, g: 7}. What is prob of picking 2 d?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48214985 and 5.\nAnswer: 241074925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/4*(-8)\/(-1). Let h be (a\/10)\/(2\/(-10)). Factor -2*m**h + 7\/4*m**2 - 4*m**4 + 0 - 1\/4*m.\nAnswer: -m*(m + 1)*(4*m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*x + 152*x = 760 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 - 10*x**3 + 8*x**3 - 9*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 149*a - 453. Let b be c(3). Solve 2*i = -2*s + 4, -3*s + b*i - 6 = 2*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21458745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16950*c**3 + 8773*c**2 + 5*c?\nAnswer: 101700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103.2 + 103. Let j = -39.6 - -5.6. Let t = j + 35. Which is the closest to 2\/3? (a) t (b) g (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 14, 29, 44, 59, 74?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1239*i + 343. Let x(r) = -1858*r - 479. Give -7*j(k) - 5*x(k).\nAnswer: 617*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 14. Is j\/(-4) - (-84 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*g**3*l - 44606*g**3 + 2*g**2*l + 202*g**2 - 888*g*l - g + 8 wrt g?\nAnswer: -114*l - 267636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1836 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54955 by 5.\nAnswer: -10991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 - 1. Let j be g(1). Suppose z + j*v + 7 = 0, 6*z = 3*z - 5*v - 13. Let y = z + 5. Calculate the greatest common factor of y and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(55)\/(sqrt(30)\/sqrt(6)))**2)*4.\nAnswer: -44 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.11 (b) -3\/2 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250390 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 13. Let b(d) = d - 7. Let h(f) = 11*b(f) - 6*z(f). What is the units digit of h(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:47 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4432365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 153*a - 1\/20*a**5 + 0 + 2*a**4 + 17\/2*a**3 + 13*a**2. Determine b, given that k(b) = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**4 + 3*z**3 + 3*z**2 + 5*z. Let n(r) = r**2 + r**3 - r**4 - r + r + 0*r. Let u(b) = -3*n(b) + o(b). What is the second derivative of u(j) wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.055, 3, -2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5, m - 1675 = -3*m - 3*w. What is the remainder when (m\/20 - (-3)\/(-4)) + 1 is divided by ((-80)\/(-24))\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 - 26*d - 126. Is 61 a factor of z(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178322830*g**3 - 1847108*g**2 - 3*g - 2.\nAnswer: 1069936980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7721 - -572?\nAnswer: 10513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -821.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-5) - 52\/(-130).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*f + 2*f. Let n be (0 + 1)\/(1\/22). Calculate the greatest common divisor of f and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2652 - -2656. What is the smallest value in -0.4, -10, k, -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f + 16 - 45*f**4 - 16 wrt f?\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583782 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: Round -3587 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7499117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*1)\/(sqrt(144) + sqrt(144)*2).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1043 and 2401.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 14*r + 16. Let w be g(8). Let z be w - (-2 + -4)\/3. Suppose -5*i + o = z, 20 = 8*o - 4*o. Which is smaller: -24 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 1, -3\/5, 0, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909161 is divided by 32470.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Let y = x - 6. Is y at most -10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -7\/5, 2\/3, 2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 4*t**5\/15 - 5*t**4 + 16*t**3\/3 + 56*t**2\/3 - 3402. Suppose a(r) = 0. Calculate r.\nAnswer: -1, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -3*q**2\/2 - 5*q - 47. Let v(w) be the first derivative of 2*w**2 + 511. Calculate v(y(z)).\nAnswer: -12*z - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 4*v + 5. Give w(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-48)*(-624)\/2808*(-6)\/(-29)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.35232 millilitres to litres.\nAnswer: 0.02635232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + p**2 + 3*p - 3. Let c be v(4). Suppose s = -2*i - 4*s + 44, 5*i + 5*s = 95. What is the highest common divisor of c and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2585 - -2722. Calculate the remainder when f is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 361704 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2066834969.\nAnswer: 41, 97, 709, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:15 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 106*l**2 - 562*l - 12526. Determine k(-110).\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) -0.5 (c) -7 (d) 2 (e) -2\/1147 (f) 4\/3 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81300 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723650 is divided by 218.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33.38 and -121.24.\nAnswer: 4046.9912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(8\/3)\/m))\/m**(-19))\/(((m*m**3)\/m)\/m)**16)**(-5) assuming m is positive.\nAnswer: m**(205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 180900?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 330\/200 + (-10)\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let x(m) = -410306*m. Calculate x(y(h)).\nAnswer: 410306*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 23*j + 16. Calculate g(8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2207*k - 1272*k - 2570*k = -534*k - 110300 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -15. Let x = -6 + c. Suppose -2*d + g - x = -3*d, d - 5*g - 4 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/36*36\/8. Let d(l) = l**2 - l + 1. Let t be d(1). Let f = 6 - t. Solve -2*u = y, f*u + 1 + 29 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45261 is divided by 6458?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -95 and -5.6771.\nAnswer: -100.6771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*m = 434, 4*g + m - 418 = -2*m. Let j = g - 56. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = 10. Let y = 197 - 129. Suppose y = 73*m - 69*m. Solve -k + m = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/39*4*3*-2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86519, 346059, 778627, 1384223, 2162847, 3114499, 4239179?\n\"Answer: 86514*k**2 - 2*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68.135 + 0.135. Let v = -10441.9739 + 10509.97. Let o = v + i. 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: Let x = 2106.78 - 2107. Let u = 0.1 + -1.1. Sort 1\/3, u, -3, x in decreasing order.\nAnswer: 1\/3, x, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*w + 1344 = 260*w. Is 0.07 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*j + 6*j - 29, -4*k = -j - 13. Suppose -k*p + 5 = 13. Let y(a) = -12*a**3 + 3*a**2 - 2*a - 4. Does 36 divide y(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 91*v - 109. What is i(2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0402 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 20)*(1 - 2*q - 1).\nAnswer: 38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 3*w**2 - 5*w - 2. Let a be q(-4). Let s(b) = b**2 - 5*b + 2. Let c be s(5). Solve 3*f = 2*t - c*f - 8, t - 4 = -a*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 3, 1, -4 in decreasing order.\nAnswer: 3, 1, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4439*r**2 - 11373.\nAnswer: -8878*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -334, -336, -338, -340?\n\"Answer: -2*y - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339768.4kg to tonnes.\nAnswer: 339.7684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87 - -91898?\nAnswer: 91952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2019919 and 517?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -108542, -108529, -108492, -108419, -108298?\n\"Answer: 2*b**3 - b - 108543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + (-6*sqrt(112)*1*-4 - ((2*sqrt(112) + sqrt(112))*-2 + (sqrt(112) - (sqrt(112) + -4*(sqrt(112) - (-1 + sqrt(112))) - sqrt(112))))))**2.\nAnswer: -696*sqrt(7) + 94201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -363 + 362.14. Let q = -3.54 + 4.9. Let b = q + y. Put -11, b, -2 in descending order.\nAnswer: b, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 + q**2 - 2*q - 2. Let n be x(-2). Let g = 1104.5 + -1104. Let t be (-2)\/(-1) + (-16)\/6. Which is the smallest value? (a) g (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1813 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.78 to 1 decimal place.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131943457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.9 - 14.7. What is the nearest to 0 in -1.7, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/7 - (-442905)\/105) + 4.\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.29 and 3451.\nAnswer: 11353.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = -32. Calculate the remainder when (-9*(-1)\/5)\/(3903\/32525) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537*f - 15 = -532*f. Let h = 6.8 - 7. Which is the second smallest value? (a) f (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20858594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 9 = 4*i. Let t be 2\/i*(-9 - 0). What is the units digit of t\/15 + (-27)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 + 2*b - 3*b + b.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29846 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1379 and 17533.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*r + 140 = -111*r - 80*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (99\/36 - 2)*-4. Let l(o) = -3*o**2 + 4*o + 3. What is l(u)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*x - 5 + 22, 0 = 4*x + 4*y - 4. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {d: 4, q: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -18757.5.\nAnswer: -5627.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -284 - -283.879. Let s = 2.121 + v. What is the second biggest value in s, 1\/4, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*l**2*m**2 + 8*c**2*l**2*m + 55*c**2*l*m**3 - 2*c**2 - 18*c*l**2*m**3 + 4*c*l**2*m**2 + 7*m wrt m.\nAnswer: 330*c**2*l - 108*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, l: 2, z: 2, x: 1}. What is prob of picking 1 l, 1 z, and 1 x?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5437172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a)**(-31)*(a\/a**0)**9 assuming a is positive.\nAnswer: a**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.058, -18, -22?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -102, -33, 298 in ascending order.\nAnswer: -102, -33, 0.5, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/84 and -58\/105?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.42081 - -103.28881. What is j rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 - -1159066788627.\nAnswer: 1159066788625.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0*q**2 + 24*q - 1\/3*q**4 + 0 + 1\/3*q**3. Find the second derivative of d(f) wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nno when three letters picked without replacement from {n: 9, o: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/16 and 43\/322.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150.3 + 150. Which is the smallest value? (a) w (b) 58 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 58. Let g = -33 + w. Let n = 0.3 + -0.3. Which is the nearest to 0? (a) g (b) n (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3.6. Let b be (-1)\/((-5)\/(-1) - 1). What is the closest to 1 in u, -4, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1.97. Let f be (0 + 3 + -6)*-1. Which is the biggest value? (a) j (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 413 + -413. Let r(w) = w**2 + 12*w + 16529. Is r(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)*b)**(-1\/5)\/(b**(-6)*b\/b**4))\/(b**7*b\/(b**(-7)*b))**33 assuming b is positive.\nAnswer: b**(-4531\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 194*u + 146*u - 116*u + 5152 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzt when three letters picked without replacement from tpttjzvvjzzgztjjpvvz.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-5)\/(45\/21). Let v = 5 - -2. Calculate the highest common factor of v and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -30, -53, -86?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -6*sqrt(88)*1 - -3*sqrt(88)*2)\/((sqrt(1000)*-2)\/sqrt(5)).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:00 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5636 and 56922191.\nAnswer: 227688764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 77\/2 of a gram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442347 (base 8) to base 4.\nAnswer: 210103213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1162*g - 246*g + g + 29344 = 0 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.128, 1, 4.33, -7\/4, -1\/12 in ascending order.\nAnswer: -7\/4, -1\/12, 0.128, 1, 4.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 900*z**4 + 306660*z**3 - 81824*z**2 + 5456*z.\nAnswer: 4*z*(z + 341)*(15*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrrbrlrllllllrbor. What is prob of picking 2 r?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*i - 1887 - 625 + 1224 = 3421 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*s - 326 - 564, 2*s = 4*c + 454. Let f = s - 48. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 397 (b) 0 (c) 9237\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.82805275 + -0.17194469. Let f = 482 + -463. Let a = f + s. Round a to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 + -0.05. Let i = h + 0.2. Let q = -14 - -9. Which is the second smallest value? (a) q (b) -1\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 4*y**3 + 2*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**7\/21420 + b**6\/306 + 5*b**5\/51 - b**4\/6 + 31*b**2\/2 - 4*b - 2. Let u(c) be the third derivative of d(c). Factor u(y).\nAnswer: 2*(y + 10)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o = -30*o - t - 78259, 0 = o + 3*t - 39112. Is 253 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 1 + 4. Does 16 divide s*(1916\/(-10) - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(7) + 0 - sqrt(7)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -1 + 7. Suppose -272 = -u*r - 18. Let b = r + -44. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u - 37679 + 18839 + 18840. Let l(d) = -20*d**2 - 3*d. Calculate l(n(o)).\nAnswer: -1620*o**2 + 27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 7 - 4 = 0. Let p(t) = t**2 + t + 1. Let g(d) = 5*d**2 + 6*d + 9. Determine i*g(b) + 6*p(b).\nAnswer: b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-3\/5)\/j*j))\/(j\/j**14))**(5\/3) assuming j is positive.\nAnswer: j**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4525733389.\nAnswer: 9239, 489851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(5 + (-6)\/2). Let n = 29 - 24.5. Let l = n + -5.5. Which is the nearest to 1? (a) l (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2271309124 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-86072)\/318)\/(56\/(-12))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 10 + 9 - (-22 + 2 + -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*x**2 - 104 + 13 + 183*x + 3*x**3 + 1.\nAnswer: 3*(x - 30)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-197 - -200)\/(1\/40*6). Let y(g) = -g + 26. Determine y(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 68, 79, 90?\n\"Answer: 11*y + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1689 - 780. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 762\/1397 - 5934\/(-11) and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -20*w**2 + 3. Let o(t) = 11*t**2. Give o(h(k)).\nAnswer: 4400*k**4 - 1320*k**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j**2 + 31*j - 439. Calculate c(8).\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 13. Let f(y) = 6*y**2 - y - 150. Let d(j) = f(j) + 5*v(j). Find the second derivative of d(b) wrt b.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 + -1266?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o - 0. Let g(m) = -18*m + 537. Let s be g(30). Let l be 1\/(-3 + 2)*6. Put s, l, 3, o in descending order.\nAnswer: 3, o, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * -0.135.\nAnswer: -0.01755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 + 306. Suppose 5*o = -z + s, -4*z = -5*o + 16 + 104. Suppose 4*g + 7 - 67 = 0. Calculate the remainder when o is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23930549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Suppose f = l - 8 - 9. What is the remainder when 32 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11439438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17\/3)\/((-2)\/6) - -3. Suppose 0*b = -3*b + 18. What is the lowest common multiple of -4 + (-3 - p - 5) and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*q**4 - 591713*q**3 - 43539108.\nAnswer: 28*q**3 - 1775139*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/(-57))\/((-30)\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*y = -5*u - 102*y + 3756, -3*y + 2241 = 3*u. What is the highest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p + p + 0*p)*(3*p**2 + 3*p**2 - 7*p**2) + 2*p**3 + 8*p**3 - 12*p**3)*(-p - 2 + 2).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/46170 and 47\/3591.\nAnswer: 323190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -86*q**2 - q - 1. Let b(l) = -2*l**2 + l. Give -b(c) - y(c).\nAnswer: 88*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 1. Let i(x) = 5*x - 4 - 4*x + 1. Let w(j) = -3*a(j) - i(j). Let o(c) = 6*c + c - 3*c - 2*c. Calculate w(o(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = x, -2507*l + 2509*l = 4*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6119*p**4 - 6*p**3 - 4*p**2 + 7590 wrt p?\nAnswer: -146856*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 107 - (893376\/(-94))\/(-54)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 345750.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (203\/3103)\/(35\/10)\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/4, 13, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(605) - (5 + 1*sqrt(605)) - (-2 + 1*sqrt(605)) - sqrt(605)*-2*-1*-3))**2.\nAnswer: -8250*sqrt(5) + 378350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2958 plus 0.4?\nAnswer: -2957.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*(-2290)\/1374. Determine f so that -30 - 40*f - 35\/2*f**2 - c*f**3 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 11. Let l be h(-9). What is the units digit of l\/(0 - -5)*-19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.35383 decades in centuries?\nAnswer: 5.435383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 2 + 1)*(5*p - 2*p + p) + 4*p - p - 6*p)*(166*p**2 + 2268*p - 2268*p) as q*p**3 + a*p**2 + b + s*p and give q.\nAnswer: -2490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + (sqrt(77) - 1*sqrt(77)*-2))\/sqrt(11))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3030 and 46965?\nAnswer: 93930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)*(d\/(d\/((d*(d**(-1)\/d*d*d*d)\/d)\/d)))\/d*(d**2)**(1\/26))**(2\/45) assuming d is positive.\nAnswer: d**(-94\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 125940300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7) + 4 + -3)**2.\nAnswer: 6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/13)*t*t))**(-9\/2)*t**(-1\/9)*t**(-6\/17)*t assuming t is positive.\nAnswer: t**(22787\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (83 - 56) - -47?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, 0, -45, 80, 17 in decreasing order.\nAnswer: 80, 17, 4, 0, -2, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 1581, 2.\nAnswer: -3, 1, 2, 1581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + (-22)\/28. Let m be (-62)\/10 - 2\/((-60)\/(-18) - 5). Put -1, g, 0, m in decreasing order.\nAnswer: 0, g, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -641, -885, -1097, -1259, -1353?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = -81 + 97 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25285476 + 0.024.\nAnswer: 0.27685476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - 390*b**3 + 2*b - 2 + 418*b**3 to g + z*b**3 + x*b**2 + o*b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 3*f**2 - 3*f**2)*((-f - f + f)*(f + 2*f - f) + f - f**2 - f - 3*f**2 + f**2 + f**2).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339382.\nAnswer: 2, 11, 23, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + 14. Let m = g + -87.000082. What is m rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 3*g**2 + 2. Let b be n(-3). Let z(m) = -3*m**2 + 2*m + 1 - 7*m + 6*m + b*m**2. Let q(u) = -u. Calculate -3*q(s) - z(s).\nAnswer: s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*f + 13*f + 2 + 0)*(-65*f - 209*f + 90*f + (2 + 4 - 4)*(3 + f - 3) + 2*f + f - f).\nAnswer: 1080*f**2 - 360*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-27))\/((-1)\/8)*(-85)\/(-85)*-3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 19. What is the units digit of (-15)\/(-5) + (-1 - l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 8:05 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36915 - 36912. Let w be 1 - (1 + -1 - 1). Suppose w*l - 28 = 6. Solve -y*k - 15 = v + 2*v, -4*k - l = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0. Let x = -405.0252 + 405. Let w = x + 1.0252. What is the biggest value in 2\/13, b, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*o**3*v**3 + o**3*v + 8*o**2*v**3 - 71*o**2*v - o*v - 8*v**3 + 23*v wrt v.\nAnswer: -174*o**3*v + 48*o**2*v - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**4 - 31*t**3 + 17.\nAnswer: -4*t**3 - 93*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/7 + 734*j**4\/7 - 84480*j**3\/7 + 3145536*j**2\/7 - 37559808*j\/7 + 105131520\/7 = 0.\nAnswer: 4, 15, 36, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(-j + 2*j + j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3\/7 (c) -11\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose -21 = -7*k - 7. Solve 2*m - q*m + i = -k, 2 = m - 4*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7754327 is divided by 78326.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -16*r. Let z(y) = -979224*y. Determine z(u(x)).\nAnswer: 15667584*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2845072 and 20626772.\nAnswer: 82507088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1586*5\/1360 + -5. Let u = -148\/17 - h. Is -2\/9 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*d - 3*b + 271, 5*d + 453 = 3*b. Let m be (-24)\/180 - 467\/(-15). Let y = m - d. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdq when three letters picked without replacement from {n: 3, k: 2, q: 6, d: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 8 = 4*h, h + 10 = -3*j + 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92824125.\nAnswer: 3, 5, 247531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 9. Let x(v) = 2*v - 6. Let r(t) = -2*q(t) + 3*x(t). Let u(c) = -29*c. What is r(u(l))?\nAnswer: -58*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrg when three letters picked without replacement from {r: 2, g: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4439502383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, o: 3, c: 5}. What is prob of sequence rorc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -1\/6, 17\/5, -0.111, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80079, 80666, 82283, 85446, 90671, 98474?\nAnswer: 109371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 26*u**2 + 16*u + 26. Suppose -49*t + 46*t - 31*t - 68 = 0. Let v(y) = -5*y**2 - 3*y - 5. Determine t*d(h) - 11*v(h).\nAnswer: 3*h**2 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16.003164 months?\nAnswer: 0.001333597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, -74, -5157, 4 in descending order.\nAnswer: 287, 4, -74, -5157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*i - 19 = 0, -4*m = m - 3*i. Suppose 3*x - 147 = -m. Calculate the remainder when x is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)\/(b*b**(2\/9)))\/((b\/(b*b*b\/(b\/b**(-9))*b))\/(b*b**24)) assuming b is positive.\nAnswer: b**(1679\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14*u - 1 + 10*u + 1. Let c = 13 - 13. Let m(g) = 3*g + c + 0*g + 0. What is m(f(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1352, -10706, -36094, -85532, -167036, -288622?\n\"Answer: -1336*x**3 - x**2 + x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*z + 3*k, 15675*k = 3*z + 15671*k + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*h**2 + 4\/9*h**3 - 16\/9*h - 8\/9.\nAnswer: 2*(h - 2)*(h + 2)*(2*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 14. Suppose 141 = z*i - 5*i. Let a = 86 + i. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*d + 2*d - 5, 0 = -3*d + 15. Let u(z) = 7*z**2 + 1. What is the remainder when 22 is divided by u(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -49, -46, -41, -34, -25?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159717 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {p: 8, u: 2, g: 9}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1431.1 - 1180.1. What is the fourth smallest value in v, 1\/5, 5, -2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u = 130*u - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 477*c - 474.\nAnswer: -3*(c - 158)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 90.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -677, -1352, -2027, -2702, -3377?\nAnswer: -4052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**4 - 40*m**3 + 65*m**2 + 150*m - 360 = 0?\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1334 and 0.8.\nAnswer: -1333.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42558 is divided by 199.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -b2?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*a**2 + 438*a**2 - 876*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4\/2 + 116*w**3 + 8796*w**2 + 239888*w + 2138312 = 0.\nAnswer: -94, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50627.99999977339 - -50628. What is h rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.7 less than -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 305861*c**2 - 381147*c?\nAnswer: 611722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 1:19 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -58 - 71. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*-17*(-437)\/7106\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17839260 rounded to the nearest one hundred thousand?\nAnswer: 17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31144778 to the nearest integer?\nAnswer: 5581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (26\/2)\/((-1)\/(-8)*12\/3)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -5*m - 38, 5*m - 83*x + 75*x - 74 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a)\/((a**(-4\/9)*a)\/a)*(a\/a**(-3))**(3\/11) assuming a is positive.\nAnswer: a**(647\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*q + 10, -g - 2*q = -2*g + 4. Let i be 3 + 0 + (-3)\/3. Let h be i\/8 - (3\/(-4) - 2). Solve 2*s - j = g, -5*s - h*j + 14 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(36)*-2 + -4.\nAnswer: -4 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1641447605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-378)\/(-39))\/2 + (-6)\/(-39). Solve 0 = n*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**2 - 4410*z + 972405 = 0?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 = 0, -4*c + 4*r - 122 = 350. Is 12 a factor of 565\/c + (-1)\/(2\/(-740))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0) + 3 + -1. Suppose -5*f = -5 - 0. Let j be (k - (f - -1))\/(-1). Which is the nearest to j? (a) -0.1 (b) -2\/5 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s + 1. Let w be k(-1). Let v = 13 - w. Calculate the lowest common multiple of v and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -13002?\nAnswer: 12332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11491 smaller than 218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, -325, 69125 in decreasing order.\nAnswer: 69125, 1, -3, -4, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 5, 96\/19, 10\/47?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-95)\/(-20) - 6\/8. Suppose 4*h + 7 = 3*u, -y*h = -u + 5*u - 28. Let t be 1 - 1\/(h\/(-6)). Solve t*q + 16 = 0, -2*r = -3*r - 5*q - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41519\/9 + 4613. What is the closest to w in 0.1, -1.3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -91 (b) -1429\/3 (c) 2\/9 (d) 0 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*q - 4*q - 167 = 0, 3*q = -4*o + 155. Let v(g) = 4813*g - 14152. Let k be v(3). What is the highest common factor of o and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 2, -109, -5, -4, -6, 5 in decreasing order.\nAnswer: 5, 2, -4, -5, -6, -39, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12030222 (base 4) to base 6\nAnswer: 313310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.4 (c) -0.2 (d) 0.3 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413537197?\nAnswer: 37, 269, 41549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4888, 9808, 14756, 19744, 24784, 29888, 35068, 40336?\nAnswer: 45704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -11*b**2. Let k be u(2). Let h(m) = -m**2 - m - 70. Let s be h(0). Let t = k - s. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*((sqrt(3328) + -1)**2 - sqrt(3328))*1)*-2.\nAnswer: -384*sqrt(13) + 26628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12300490 is divided by 2543.\nAnswer: 2542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-12 + 3 - (-5 - 10)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 6*j**2 - j + 5. Let p(s) = -2*s**2 - 30*s + 26. Let y be p(-16). What is v(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 2 + (-2)\/(-11 - -3). What is the closest to -0.1 in m, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-6) - 1 - (-3692419)\/246. What is j rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5, -485\/6, 0.2?\nAnswer: -485\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q - 5*y + 32, 2*q = 5*y - 14. Solve 3*x - 3 = q*r, 2*x + 4*r = 8 + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269206570 to the nearest integer?\nAnswer: 16408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393635017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19962 - -34639. What are the prime factors of d?\nAnswer: 13, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184316 and 1652.\nAnswer: 1290212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z - 16*z, 3*z + 158 = 4*v + 2*z + 198 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 940 + 2188. Let h = t + -767. What is the greatest common factor of h and 200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 19 - 29 = 0. Suppose -u = z - h, -4*u = -2*u - 4*z - 114. Suppose 4*b + 3*v - u = 0, -2*b + 4*v - 22 = -64. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-160)\/4)\/5 + 2. Let u(j) = -j**3 - 6*j**2 - j - 6. Let f be u(x). Solve f = 4*d - 0*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 5\/11 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaai when four letters picked without replacement from {a: 3, i: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -14. Let h = a + 1. Suppose 3*j - 10 = -4. Sort j, 5, h in decreasing order.\nAnswer: 5, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/3, 3\/11, -0.2, -4, -3\/8, -1258?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207720, 207724, 207728?\nAnswer: 207732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11769 minus 0.1?\nAnswer: -11769.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, b: 5, p: 1, e: 1, u: 9}. Give prob of sequence uceb.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 949.21327 + -0.21327. What is the fourth smallest value in -3\/4, -0.2, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/273 and 83\/61425.\nAnswer: 61425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00946230843 to four dps.\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/24 + q**3\/6 + 133*q**2. Let z(o) = -2*o**2 + 2*o + 3. Let k be ((-24)\/36)\/(1\/6*4). Give k*z(l) + 2*x(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by -3 + -5*((-3)\/(-1))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 20. Let g(a) = -53. Let v(f) = -8*c(f) - 3*g(f). Let h(s) = -3*s - 2. Give -h(u) + v(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4169*c + 213553 - 92652 = 0 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 greater than 43652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l**2 + 4*l)*(l + 2 - 2) + 0*l**3 + 0*l**3 - 2*l + 2*l**2 + 2*l**3 - 1.\nAnswer: 3*l**3 + 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-1 + 1)) + 2. Suppose -m = g*v - 40, m - 3*v + 4*v - 36 = 0. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u - 9. Determine h(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -14.9. Let o be (2552\/(-66))\/(-29)*6\/16. Let s = -0.2 + 0.4. Which is the closest to 0.29? (a) p (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160484 times 2.46\nAnswer: 394790.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3*v + v)*(29 - 91 + 207).\nAnswer: -290*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 3\/2*k - 3*k**2 + 3\/2*k**3.\nAnswer: 3*(k - 2)*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 489 + -486. Solve 32*z - 31*z + x = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*l**3*n*s**2 - 2*l**3*n*s - l**3*s - 74*l**2*n + 2*l**2*s**2 - 3*n*s**2 wrt s?\nAnswer: 16*l**3*n + 4*l**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -256*x**2 + 1281*x - 8. Determine s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:54 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 2, 233, -4, -1, -2 in increasing order.\nAnswer: -90, -4, -2, -1, 2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 75*b = 74*b - 13, -3*o = -b + 19 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 2. Let a(t) = 5*t**2. Calculate h(a(w)).\nAnswer: -10*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101110001110001001000 - 100?\nAnswer: 10010101110001110001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-24)\/18)\/4)\/((-7)\/9). Which is the closest to -2\/3? (a) -2\/15 (b) 124 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1 - (-735)\/246 - 2). Let j = -80 + z. Solve 3*n = n + j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4990*a. Let w(t) = 2*t. Calculate w(d(c)).\nAnswer: -9980*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.1 + 14. Let f = -0.1 - p. What is the fourth smallest value in 3\/4, -5, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.136538 litres in millilitres?\nAnswer: 4136.538","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 2, j: 6, s: 3, b: 5}. Give prob of sequence wsbs.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-33)\/(-22) - 3) + 22\/4. Solve -4*w - n + 16 = -8, -y*w - 4*n = -36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/91336 and 101\/2.\nAnswer: 91336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 276*h**2 + 12*h - 33. What is the hundreds digit of d(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3450.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -37*t**3 - 1. Is j(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, 1.9, -0.9, 4, 1\/4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49049 + -19455. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/9 - 3334*v**2\/9 - 1467526*v\/9 - 64139138\/9 = 0. Calculate v.\nAnswer: -809, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -100*m + 180. Let p(s) = 10*s - 17. Let j(w) = 65*p(w) + 6*x(w). Give j(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9159161*k**2 + 10963670 wrt k?\nAnswer: 18318322*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1545, -3093, -4647, -6207, -7773, -9345, -10923?\n\"Answer: -3*u**2 - 1539*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/9 + 1636270*z\/9 - 67090432\/9 = 0.\nAnswer: -818176, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -361, -763, -1323, -2041, -2917, -3951?\nAnswer: -5143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.606 + 12.60599939144. What is p rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196490?\nAnswer: 2, 5, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 6*m - 6. Suppose -46 + 16 = 6*d. Calculate s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-274)\/(-137)*(-1)\/(5*4).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*v = -11, 3*v = v + 4. What is the highest common factor of 11 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -234 - -233.99999839. What is o rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-5)\/(-15))\/((-4)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/51 and 137\/10284.\nAnswer: 174828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 12*z**2 - 6*z - 15. Does 16 divide l(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 + 7*q + 44. Let r be k(-7). Suppose 0 = -26*s + r*s - 268. Solve 5*y - 4 + s = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by -569596.\nAnswer: 91\/569596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.09 times 1248?\nAnswer: -13840.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -451 + 12179\/27. Let b = 951 + -951. Do q and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 0. Let n(d) = -d**3 - d**2 - d. Let g be n(-1). What is the first derivative of 3 - l**2 + j - g wrt l?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 7*o + 26. Calculate the highest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -2 (b) 8 (c) -6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/3192 and -79\/336?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/35)\/(2\/14). Let b(j) be the second derivative of j**4\/2 - j**3\/6 - j**2\/2 - j. What is the units digit of b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 83073a40?\nAnswer: 83073a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110640 and 84120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 27 = -a, 4*d - 19 = 2*a - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -4036b9c?\nAnswer: -4036ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-6\/7)\/(h**(2\/5))**(5\/4) assuming h is positive.\nAnswer: 1\/sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from qqaqqaqada?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -41, -47, -55?\n\"Answer: -v**2 - v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x. Let m(p) be the second derivative of -p**4\/6 + 39*p**2\/2 + 8*p. Let h(o) be the first derivative of m(o). Give 5*b(w) + 6*h(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2752?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 0*l**4 - 52*l + 0*l**4 + 3*l**4 + 53*l + 2 - l**2 as o*l**2 + f*l + i + y*l**3 + a*l**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1553610 (base 8) to base 10.\nAnswer: 448392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z + 2. Let p = 2 + z. Let i = 23\/125 + 2\/125. Which is the smallest value? (a) p (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1446026, -2892024, -4338022, -5784020, -7230018, -8676016?\n\"Answer: -1445998*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 274098 + -65783357\/240. Find the common denominator of -7\/120 and f.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - sqrt(6)\/(sqrt(18) - sqrt(2) - sqrt(2))) + 1)**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**7\/840 + h**6\/120 - h**5\/40 - h**4\/24 - 5*h**3\/3 - 5. Let d(i) be the third derivative of f(i). Give d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:14 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 780301365 to the power of 1\/2, to the nearest integer?\nAnswer: 27934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 5*y + 8. Let j be g(-6). Let f = 17 - 24. Let o be (f\/(-14))\/((-2)\/(-140)). What is the highest common divisor of o and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*k - 780*k + 560*k - 786*k.\nAnswer: -1278*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(245)*1*-2 - ((sqrt(245) + sqrt(245)*-1)*-5 + sqrt(245) + sqrt(245))) + 2)**2.\nAnswer: 168*sqrt(5) + 3929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 91 = 3*d - 177, -3*d + 278 = -4*n. What is the remainder when d is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012098297 rounded to six dps?\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f*r - 1113*f - 12424*r wrt r?\nAnswer: 4*f - 12424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/4 + 534\/(-1). Suppose -6 = 4*w + 2. Is 26 a factor of i\/w*(-14)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 22 = -2*m. Solve m = 2*l + 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4282548, -4282546, -4282542, -4282536, -4282528, -4282518?\n\"Answer: l**2 - l - 4282548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -114*q + 115*q - 6, 2*h + 8 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811478 is divided by 973?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*((y*((y\/(y\/y**(2\/5)))\/y)\/y)\/y)\/y)\/y*y)*y)\/y*y)**(-3)*y\/y**(4\/7)*(y\/y**(-28))\/y assuming y is positive.\nAnswer: y**(617\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(200)*-3 - sqrt(200)) + sqrt(50))\/((sqrt(10) - sqrt(250))*3))**2.\nAnswer: -7*sqrt(5)\/3 + 821\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -2\/3*j**3 + 0 + 1\/10*j**5 - 1\/4*j**4 + 0*j**2 + 5*j. Give w(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p + 2. Let r be s(-7). Let m = r - -48. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4805\/4*a + 155\/2*a**2 + 0 + 5\/4*a**3.\nAnswer: 5*a*(a + 31)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -3 + sqrt(1700)*-4 + 1 + 2 + 0 + sqrt(17) + (((sqrt(85) - (1*sqrt(85) - sqrt(85))) + sqrt(85))\/sqrt(5) - sqrt(17)) + sqrt(17))*5.\nAnswer: -135*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 178607.1842 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l - 19*l + 14*l. Let a(q) = -2*q - 6. Suppose s = 6*s - y + 9, -3*y = s - 11. Let h(d) = 1. Let x(t) = s*a(t) - 6*h(t). Calculate r(x(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1061 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 188*((-1)\/(-2) - 0). Suppose 78*o = -75 + 158 + 151. Suppose 4*f - c = -p + 14, 0 = -o*f + 3*p + 81. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u)**(-45)\/(u*u\/(u\/u**(-1)))**(2\/15) assuming u is positive.\nAnswer: u**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 59 = -2*m, -170 + 153 = -w + 2*w + 11*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16805 - -80813. List the prime factors of g.\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3788*(21\/6 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/2)*m*m**(11\/7) assuming m is positive.\nAnswer: m**(57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -158*x - 169 + 83 + 86. Let p(v) = 5*v. What is p(w(o))?\nAnswer: -790*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 115*d - 15522. Let j be i(135). Let z = -0.094 - -4.194. Let p = -0.9 - z. Which is the nearest to j? (a) -2 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 6. Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14495 - 14492. Solve 12*h + k*b - 23 = 8*h, 4*h + 4*b = 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 8*k + 3. Is h(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 586518 and 87540?\nAnswer: 5865180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8112 + -186523\/23. Calculate the common denominator of q and -143\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110100010110001 (base 2) to base 15.\nAnswer: -27105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 743*l - 42. Let w(f) = 373*f - 19. Determine 6*o(i) - 13*w(i).\nAnswer: -391*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*c + 3. Let r = c + 6. Let p be r + 57 - 2 - 1. What is the greatest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 1, m: 5, k: 2, q: 1, u: 3}. Give prob of sequence fh.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 - 69. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - -0.126\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + 6 - 6 + 44 - 44 + 5*g + (-1 + 2 + 5)*(-g + 2*g - 3*g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124701 and 591.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 6\/7*n - 6\/7*n**3 + 0*n**2 - 3\/7*n**4 + 3\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -12 + 66\/24?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 52, 75, 112, 163?\n\"Answer: 7*l**2 + 2*l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 1:29 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/12 - r**3\/3 + 3*r**2\/2 + 3*r - 4. Let o(x) be the first derivative of z(x). What is o(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36739663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 9*x - 1. What is the least common multiple of 8 and m(-8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229318883472239\/130 + -1763982862238. Let f = g - 8549177. Let y = f + 1110\/13. What is the common denominator of y and 74\/21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 4*f**2 - f + 4. Let v be s(4). Let x be v + (53 - 2)\/3. Let z = 42 - x. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, y: 1, v: 1, q: 2, n: 1, d: 1}. What is prob of picking 2 b and 1 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 1\/19 (c) 2\/5 (d) -988\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38544369 a multiple of 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = 3*n + z, 0 = -2*n - 5*z + 8. Suppose 5*q = 3*r + 4, 0 = -2*r - 2*q + 8. Suppose 5*c = -0*c - 20. Sort n, r, c in descending order.\nAnswer: r, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 16 + 0*c + c - c + 60)*(-1 - 11 + 3) as o + r*c and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 7*r**2 + 8*r + 9. What is o(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 19. Let l = f - 26. Let u = l + -8. Which is the nearest to u? (a) -0.5 (b) 0.4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -7*a**3\/3 - 11. Let s(t) = -t**2. Determine s(v(n)).\nAnswer: -49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1051 is divided by 775?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 431, 875, 1305, 1715, 2099?\n\"Answer: -n**3 - n**2 + 454*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290094713.\nAnswer: 3, 143343857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q - 15. Calculate the lowest common multiple of p(-19) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*n**2*q**3*s**3 + n**2*q**3*s**2 + 75*n**2*q**2*s**3 + 2*n**2*q*s**2 + 2*n*q**2 + 2*q**2 wrt q.\nAnswer: 318*n**2*s**3 + 6*n**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose -w - 2*t - 10 = 0, -3*w - b*t = -3 + 18. Let z = 0.3 - 0.3. Do w and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -317 + 329. Find the common denominator of (-22)\/18*(-2 + 1) and 228\/44*(2 + (-28)\/o).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/3 - (-590)\/30. Is 1311262\/(-123)*(2 + a\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - r**3 - 4*r**3)*(-10*r + 9*r + 17*r)*(47 + 131 + 93) + 2*r**2 - 2*r**4 + 4*r**4 - 3*r**2.\nAnswer: -4334*r**4 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7608*0.2\nAnswer: 1521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 872 and 10573.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125947266 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/27369789 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 15 = 13. Let f(r) = r - 12. Let x be f(q). Let z be 20\/(-5)*(0 - 1). Solve x*j - z = -0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 379 - 379. Let q(h) = h**3 + 6*h**2 + 5*h + 6. Let m be q(-5). Solve g - m*g - 5 = u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 10*q + 2. Let v be s(-8). Suppose 106 - 306 = 20*g. What are the prime factors of 1 - (-5)\/(g\/v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.145 + 65.145. Let o = -304801540.5 + 304801605.49999828. Let q = g - o. What is q rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/6*(-4)\/(-24). Suppose -3*g + 2*g = 0. Put g, i, 5 in ascending order.\nAnswer: i, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/1)\/(-4))\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g + g**3)*(3 - 6 + 4) + 10*g**3 + 11*g**3 + 3*g**3 to the form d*g**2 + c*g**3 + h + a*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 15*o - 24. Suppose 3*g + 62 = 35. Let w be d(g). Factor w*a - 1\/2*a**2 - 9\/2.\nAnswer: -(a - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22340111 (base 5) in base 7?\nAnswer: -1460234","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 13 = -3*k, 13*d - 12*d - 5*k = -23 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(847) - (sqrt(847) + 0)) + -2 + sqrt(126)\/((sqrt(24)*-2)\/sqrt(12)).\nAnswer: -3*sqrt(7)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(4 - 6 + 4)*(-218*i + 379*i + 552*i)*(13*i - 4 + 0 + 5).\nAnswer: -18538*i**2 - 1426*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 6*l**2 + 3*l - 2. Let x be f(-6). Let j = -1675\/34 - -98\/17. Calculate the common denominator of ((-21)\/x)\/((-4)\/(-20)) and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*-1*sqrt(77) - -2*(sqrt(77) + -1*sqrt(77))))\/((sqrt(88) + (-3*sqrt(88) + sqrt(88) - sqrt(88)))\/sqrt(8) - -5*-1*sqrt(11)).\nAnswer: 12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 + 9*s**2 - 2*s - 15. Let a(i) = 6*i**3 - 9*i**2 + 3*i + 16. Let r(l) = 4*a(l) + 5*c(l). Is 4 a factor of r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006*s - 3 + 16458*s - 3*s**3 + 4*s**3.\nAnswer: s**3 + 17464*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -z - 3*s, -z + 4*s - 11 = 8*s. Calculate the smallest common multiple of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6048, -6048, -6054, -6072, -6108, -6168, -6258?\n\"Answer: -d**3 + 3*d**2 - 2*d - 6048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -5\/6*q**3 + 1\/30*q**5 - 1\/24*q**4 + 0*q + 0 - 2*q**2. What is the lowest common multiple of w(3) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -29. What are the prime factors of 9 + 0 + -2 + -3 + m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38031*t**4\/4 + 4042005*t**3\/4 + 2261655*t**2 + 556275*t - 2184 = 0.\nAnswer: -104, -2, -2\/7, 7\/1811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from osdsffdssfoodsffdss?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407702520?\nAnswer: 2, 3, 5, 1132507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/3 - 1) + -4. Suppose v*o = -2*y - 20, y + y + 5 = o. Let g(i) = i + 7*i - 4*i - 3*i + 9. What is g(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-3) + -2)*0. Let l = 0.24 - 3.04. Let o = l + 3. What is the closest to o in -5, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -474303\/7 not equal to -67757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*y - 134, 4*d + 5*y = -0*y + 497. Let h(k) = k - 1. Let i be h(0). Let a be 17 - (-1 + 3 + i). What is the greatest common factor of a and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y - 65*y = -13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 524430 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -18. Calculate the common denominator of 3\/7 and (-6)\/j*(-24)\/54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -10. Suppose -3*x - 5*z - 4 = 0, 19*z - 53 = -4*x + 24*z. Suppose 14*w = -x*w - 42. Put 1, p, w, -0.2 in decreasing order.\nAnswer: 1, -0.2, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1361 (base 11) to base 13.\nAnswer: a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.224729824 rounded to four decimal places?\nAnswer: -0.2247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 4*n**3\/15 + 24*n**2 - 244*n\/5 + 249. Factor m(f).\nAnswer: 4*(f - 1)*(f + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480404230?\nAnswer: 2, 5, 73, 2027951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1518\/(-77))\/(-23)*14\/16 + 892\/(-1168).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 + -2 + 6 + -11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/4212 and 5\/2952261.\nAnswer: 35427132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69703.\nAnswer: 43, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.146 or 25?\nAnswer: -1.146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*z - 190*z = 6, 0 = 5*b + 189*z + 353 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.3, -21, -14?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2951?\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlultuxxll. Give prob of picking 1 u, 2 l, and 1 x.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -237935? (a) -3 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (16\/12)\/((-20)\/10)*21\/(-98)*3\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 369 - 69 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:35 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111110 (base 2) to base 4.\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 0. Suppose 3*w - 3 = 0, 4*l + 2*w = p*w - 11. Is l at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/23, -4, -72, 12, -1\/3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287100593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.2207 - 55.02. Let z = r + 1.8. What is z rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/26 in -5, -0.3758, 3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -102312?\nAnswer: -102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68635 is divided by 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21574953.\nAnswer: 3, 2397217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 14410294.2 to the nearest 10000.\nAnswer: 14410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*h**2 + 78*h**2 + 2 - 5 as b*h**2 + t*h + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170*g**2 - 26*g + 7949 wrt g.\nAnswer: 340*g - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1573, 2829, 4085, 5341, 6597?\nAnswer: 7853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -5*o + 13, -3 = 3*o - 5*x. Suppose 0 = -2*f - 4, -3*n + 892 = -o*f + 194. List the prime factors of n.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28630754287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 + (5 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249673457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5\/5 - 110340*s**4 - 1655067*s**3\/5 + 1103418*s**2\/5 + 6620316*s\/5 + 4413528\/5 = 0. What is s?\nAnswer: -183897, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 18*t**2 - 4*t - 70. Calculate c(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 4. Let v be f(4). Suppose j - v = -j. Solve 3*n - 3*d = -j, n + 10 = -2*n + 4*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhuu when four letters picked without replacement from {d: 1, b: 3, e: 3, h: 1, u: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 26. Let z be (-2)\/10 - v\/(-20). Suppose 2*t + 2*o - 2 = 0, -2 = -4*t - 4*o - o. Which is the third biggest value? (a) z (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v - 6 = -39*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1705 plus -0.83337941?\nAnswer: -1705.83337941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-23 - (3 - 10)) + 0 + -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**6\/30 + 7*b**5\/20 - 17*b**4\/12 + 17*b**3\/6 - 3*b**2 + 35*b + 42. Let f(q) be the first derivative of s(q). Factor f(g).\nAnswer: -(g - 3)*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*y + 27 = 4*d, -3*d = 4*y - 11. Put -1\/5, d, -5 in increasing order.\nAnswer: -5, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y + 27*y - 6*y - 14*y - 16*y - 260*y**2 as s*y + z*y**2 + q and give z.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, r: 1, i: 1, q: 1}. What is prob of picking 1 q and 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from mmxllmlmmymamly.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-42) - -3*6\/63?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -6755*b + 6759*b, 2*a - 343 = -67*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/695 and -11\/4.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-6) + 1610\/1050. Which is the closest to 9\/4? (a) o (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 614795 and 1025?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 + -5. Let j = -36.3 - -36. What is the nearest to 9 in j, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1730 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6476 + -4236. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-5)*c**(6\/25))**(-3\/22) assuming c is positive.\nAnswer: c**(-234\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 5*f - 24. Let z be m(8). Suppose 0 = 13*b - 25 - 1. Let s be (-186)\/(-155)*25\/b. Solve z*x = -5*x - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - aabda?\nAnswer: -aac00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -2*h**3\/3 - 5*h**2\/2 + 13*h. Let x be j(-8). Calculate the highest common divisor of 135 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278081 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -60?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160\/9072*((-4)\/5)\/(-2)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.2, 4, 0.22 in increasing order.\nAnswer: -1\/6, 0.2, 0.22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.2. Let h = 0.3 - k. Let m = -8\/325 - -1356\/2275. Sort -1\/2, m, h in decreasing order.\nAnswer: m, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2608\/368 + 6\/(-69).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 1100101?\nAnswer: -1100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7192336 + 372*w + 7192336 + 1310*w**2 wrt w?\nAnswer: 2620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from qqqqqhppmqpmpq?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447625717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**3 + 5*y**2 - y - 1. Let i(k) = 13*k**3 + 9*k**2 - 2*k - 2. Let n(a) = 3*i(a) - 5*p(a). Give n(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 77 = 109, 2*m - 110885 = -3*i. List the prime factors of i.\nAnswer: 7, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f + 36. Let c be j(9). Solve 0 = -2*i + 4, m + 2 = 2*i - c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4438489 millilitres?\nAnswer: 0.0004438489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-21)\/6)*4\/10. Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 51*i**2 - 624*i - 54. Determine q(-15).\nAnswer: 1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 85, 87?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81103 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus 0.67293865?\nAnswer: 11.32706135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 8*f**2 - 7*f + 4. Let c be p(7). Calculate the remainder when 34 - 0 - (-1)\/1 is divided by (-90)\/(-25)*10\/c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 11*n - 4. Let w(y) = 3*y**2 + 10*y - 3. Let a(h) = -5*k(h) + 6*w(h). Suppose -22*v = -26*v + 16. Give a(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3 = -22 - 5 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -d7233 (base 15) to base 12\nAnswer: -28a9a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**7\/840 - f**6\/360 - f**3\/3 + 2*f. Let n(b) be the second derivative of w(b). Factor n(i).\nAnswer: -i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6771016 by 4508.\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17944 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 156600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -255, -492, -729?\n\"Answer: -237*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 20.8?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 647*n**2. Let c(r) = 3*r**2 + r + 2384. Determine c(f(s)).\nAnswer: 1255827*s**4 + 647*s**2 + 2384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3528+-1\nAnswer: -3529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 12575737.756 to the nearest 1000.\nAnswer: 12576000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 1\/2 (c) -2\/15 (d) -1\/4 (e) -191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 1. Let q be k(3). Suppose q*a - 19 = 4*a. Suppose 0 = -f + m + a, 5 = -f + 2*m - 7*m. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 2*p + p)*(-1 + 2 + 1)*(-3*p + 3*p - 8*p)*(0 + 4 - 5).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let g be 1*(-3 + 6 + 0). Let q(j) be the second derivative of 1\/3*j**g - 5*j + 0*j**2 + 0. What is q(n(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/7)*(w\/(w**(-18)*w))\/w)\/(((w\/(w*w*w*w*w**(1\/36)*w)*w)\/w)\/w*w*w**(-2\/13)) assuming w is positive.\nAnswer: w**(69859\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j + 65. Let x be c(-8). Suppose x*y = 33*y - 504. What is the smallest common multiple of y and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 37*d + 1936. Calculate the remainder when 2\/5*(-230)\/(-2) is divided by v(-52).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*j - 219, -3*w = -w + 3*j - 93. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 97006575 - 97006575.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Suppose 4*g = u*t + t + 64, 0 = 5*g + 5*t - 130. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, 1, -1, -0.2397?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c + 2*c**3 + 9 - 6*c**3 + 0. Let k = 3 + -7. Let x(s) = 2*s**3 - 3*s - 4. Calculate k*v(z) - 9*x(z).\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5*-77608\nAnswer: -388040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 + 337\/4. Which is bigger: l or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -454 (base 14) in base 8?\nAnswer: -1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8502594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 128341 from -439.\nAnswer: -128780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v. Let o be y(5). Suppose -2*u = 3*u - o. Let 5*w**2 - 5*w**3 + 0*w**4 + 4*w**4 - 3*w**u - w = 0. What is w?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6698248363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -258, 2, 50 in increasing order.\nAnswer: -258, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q**(-2\/5)\/q)\/q*q)**(2\/27))**5 assuming q is positive.\nAnswer: q**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 16*u = -5*g - 5967, -u = -g - 1989. What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 92 - 65 - 9.\nAnswer: -j + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5073\/(-178))\/57)\/((-2)\/(-56))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169*v - 32736 = 3259*v + 73295 + 110941 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8255287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.96. Let u = f + 3.26. Let w = u + -4.7. Sort 1, w, 4 in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (516144\/(-1160838))\/(-2) + 6\/(-27). Let w = 41796\/12876703 + b. Is w smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2. Let s(j) = -45829*j + 0 - 26927*j + 0. Let y(g) = -564*g. Let l(u) = 4*s(u) - 517*y(u). Determine v(l(c)).\nAnswer: -636192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 13) + 21 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/6 - 596\/(-12). What is the greatest common factor of x and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 677, 1381, 2111, 2867?\n\"Answer: 13*x**2 + 665*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((3 - 4) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -1\/16*k**5 + 0 - 86*k + 5\/8*k**3 + 0*k**2 - 5\/24*k**4. What is i in o(i) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h**2 + 17*h**2 + 4*h**2 - 6*h**2 to v + q*h**2 + t*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 34*k = -4*k - 99 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 283161 and -2094.\nAnswer: -592939134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0617 + -0.0383. Let n = -128 - -1666\/13. What is the closest to g in n, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6722360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, -0.4, -2\/11, -6\/19, -3\/10 in increasing order.\nAnswer: -0.4, -6\/19, -3\/10, -2\/11, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23738095*r*u**2*z + 3*r*u*z - 38*u**2*z + 38563*u*z wrt r.\nAnswer: 23738095*u**2*z + 3*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1.7, -4, 0.2, 3280, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i\/(i*i*i*(i**2*i)\/i*i))*i))**(3\/29) assuming i is positive.\nAnswer: i**(-21\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1794*f - 1834*f + 5242*f.\nAnswer: 5202*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 8:55 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 31 - 2 + 8 = -5*z, -14*a + 97 = -z - 76 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (29 - 9) - (-1 - 6)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.14 to 1 decimal place.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 61. Let f(j) = 18*j**2 - 781*j + 330. Let z be f(43). Calculate a(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**36*a)**8*a**(-24\/5)*a*a**(2\/3)*a assuming a is positive.\nAnswer: a**(4528\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7780 is divided by ((-52)\/156)\/(((-8)\/258)\/4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*u + 7*u - 14, -2*x - 4 = 0. What is the greatest common factor of u and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 9*g + 30 = 5*r + 50, 40 = 5*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 256877 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 3*m**2 - 5*m - 9. Suppose 193*g + 684 - 105 = 0. Determine u(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73 + -ee?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 111 = -2*i - i. Sort 3, -3\/14, i, 1.9 in descending order.\nAnswer: i, 3, 1.9, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**5\/60 - 5*a**4\/12 + 11*a**3\/6 - 10*a**2. Let k be g(-11). Let v be ((-2)\/51)\/((-1)\/9). Which is greater: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(4 - 100\/10). Let q be (-26)\/(o*7\/(-105)). Calculate the greatest common divisor of 40 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326062157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzeezzzezz. What is prob of picking 4 z?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -479 - -435.2. Let b = m - -48. Let u = b + -4. What is the smallest value in -5, u, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z**2 + 3*z + 0*z)*(0*z**2 - 8*z**2 + 2*z**2)*(2 + 4 + 3).\nAnswer: 108*z**4 - 54*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhjjjjnjhavjnnnhvj. What is prob of picking 2 j?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 8. Which is the fourth smallest value? (a) -0.2 (b) 5\/2 (c) n (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2169 * -1201.44\nAnswer: 260.592336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4689901\/10 + -468990. Factor 3\/10*n**3 - m*n**5 - 1\/5*n**4 + 2\/5*n**2 + 0 - 2\/5*n.\nAnswer: -n*(n - 1)**2*(n + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 8 - (-10 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) - (-1416784977)\/27. Suppose -5*c = -p - 54026487. Let w be (-1)\/3 - c\/(-3). What is w rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72.5 * 2469\nAnswer: -179002.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238447 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 6*x**2 - 4*x + 2. Suppose -4 = -5*t + 4*t. What are the prime factors of s(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = -0*z. Let c be (-4)\/(-22) - 108\/231. What is the third smallest value in -2, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**13*c)*c*(c*c\/(c*c**(-11)))\/c*(c\/(c*(c\/(c**(-1\/5)\/c))\/c))\/c**(-9))**(-7) assuming c is positive.\nAnswer: c**(-203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from yywyywywwwwww.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 1. Let t(c) = -172*c - 7. Determine 6*m(p) + t(p).\nAnswer: -184*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 498 * 17.3\nAnswer: 8615.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3123 = -h. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(44) + sqrt(44)*-3.\nAnswer: -4*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 122678 = -4*s, 0 = -s - 1 - 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7*q\/q**(-1\/2)*q**(-1\/2)\/(q**(2\/15)\/q*q))\/((q**(-3))**(4\/23))**22 assuming q is positive.\nAnswer: q**(6674\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6597677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 - 375*a + 6*a**2 + 321*a - 911*a - 162*a as y*a + s*a**2 + x and give y.\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/4 + 135*l**2\/4 + 138*l + 139 = 0. What is l?\nAnswer: -2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -403*w - 2 + 241*w - 3611*w + 2 to q*w + c and give q.\nAnswer: -3773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 410534.\nAnswer: -21\/410534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -59, -117, -229, -413, -687, -1069, -1577?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 69\/7 + (-4)\/(-37 - -9). Let a be ((-3)\/(-6))\/((-2)\/(-160)). What is the greatest common factor of a and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o + 5511. Let k(c) = 25*c + 5512. What is 2*k(s) - 3*t(s)?\nAnswer: -s - 5509","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -169, -204, -225, -226, -201?\n\"Answer: z**3 + z**2 - 45*z - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22313 - 3?\nAnswer: 22310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9694132 divided by 692438.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 - 6939*k**3 + 4745097*k**2 - 714358581*k - 1447753014 = 0. Calculate k.\nAnswer: -2889, -2, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -168373, -336725, -505049, -673339, -841589, -1009793?\n\"Answer: p**3 + 8*p**2 - 168383*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146 * -0.1.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(6050)*-2 - sqrt(6050)) - sqrt(6050))\/(sqrt(120)\/(sqrt(1728)*4 + sqrt(1728))))**2.\nAnswer: 106722000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9168 and 5348?\nAnswer: 64176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*3*sqrt(1872) + 1*(5 + 1 + sqrt(1872)) + -1)**2.\nAnswer: -2760*sqrt(13) + 990313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2335?\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 295, 590, 885?\n\"Answer: 295*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 132 = -k + 137, 2*v = -5*k + 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962*j + 4*j**2 - 3*j**2 - 962*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:14 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-seven halves of a centimeter?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4326 + -4307 + (4 - 1 - -134).\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4814224 grams to kilograms.\nAnswer: 0.0004814224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -80. Suppose -5*u = -5*i, k*u - 6*i + 21 = -9*i. Calculate the common denominator of 17\/10 and 5\/(-2)*u\/(-825).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 128552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -4*(sqrt(72) + sqrt(72)*2))\/(-2*sqrt(8)*2))\/(-5*(sqrt(432) + -1*sqrt(432)*6)).\nAnswer: -13*sqrt(3)\/1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1.5. Let q = 14 + -23. Let h be -1 - q*(-6)\/(-45). What is the smallest value in h, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*p**2 - 41*p**2 - 37*p**2 - 24*p**2 - 26*p**2 - 16*p**2 - 1.\nAnswer: 106*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.031048 + 710.587048. Let y = s - 710. What is y rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8268288 micrometers to nanometers.\nAnswer: 826.8288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3 + 365*g - 198*g - 1031*g + 438*g**2 = 0.\nAnswer: 0, 2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 14. Suppose 3*u - 5*r = 31 + 35, 0 = 5*u - 3*r - 110. What is the remainder when u is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = 4. Suppose x*q + t + 4 = -2*t, q - 24 = 5*t. Suppose 0 = q*p + 3*w - 40 + 11, -5*p + 39 = w. Solve 2*a = -2*a - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/60 + 17*n**4\/24 - 35*n**3\/6 - 402*n**2 + 3. What is j(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400.603554 rounded to 0 dps?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5 + (sqrt(1377) + (sqrt(1377) - sqrt(1377)*-1) - sqrt(1377)) + 1 + sqrt(1377) + 3)**2)*4.\nAnswer: 1944*sqrt(17) + 49876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 1 + sqrt(208) + 3)**2 + -4.\nAnswer: 64*sqrt(13) + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4305611393 to the power of 1\/4, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2152 divided by 269?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004817 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 18 = -l. What is the second biggest value in -0.1, l, -1\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*d = 263*d + 18. Solve -d*f + 6 = -4*r - 6, 0 = 4*r + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1090 divided by 440585\nAnswer: 218\/88117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 19538 = -6518. Which is smaller: -931 or b?\nAnswer: -931","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = 22*v + 160 - 310 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 20. Let u(o) = 9*o**3 - 4*o**2 - 5*o + 9. Is u(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**6\/15 + 2*r**5\/15 + r**4\/18 - 2*r**3\/9 - 18*r. Factor u(k).\nAnswer: -2*k*(k - 1)**2*(3*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149920 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8326.084 micrometers in nanometers?\nAnswer: 8326084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11 + 15 - 27 - 3 - 25 + 4*j. What is the remainder when 88 is divided by l(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680456199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -152\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = 4*x + 3, -9 = y + 4*x. Suppose -3*j = -2*z - 37, -3*j = 4*z - 10 + y. Let h = 2811 + -2793. Calculate the greatest common divisor of h and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vigaagajiivaega. What is prob of picking 1 i, 1 a, and 1 v?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 1:03 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u**2 - 1535*u + 40194. Calculate a(120).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - 8*s - 7. Calculate the remainder when n(6) is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 2 - (3 - 12 - -11)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256395156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2246 (base 14) to base 9\nAnswer: 8132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3 - 1154632*i**2 + 27467*i + 91.\nAnswer: -12*i - 2309264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 4*h, -15*h = 2*o - 143 + 841 - 312 - 140 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*q + 10 = 64*q - 5*l, 22*q = 5*l - 190. What is the closest to 1\/10 in 1, q, 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1258844*a**4 + 3*a - 11743.\nAnswer: -15106128*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + 3 - (-3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Suppose 40 = 9*m - 4*m. Let x = m + -7. Let z(d) = -1 + x + d - 7*d. Give z(n(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 10 + 4)*(n**2 - 3*n**2 + 4*n**2) - 5*n**2 - 3*n**2 + 0*n**2 to the form a*n**2 + g + c*n and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-17 + 6 - -5) + 12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkdk when four letters picked without replacement from ddkddkdkkddkkdkddkk.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swsswswwwwwwsswwsww. What is prob of picking 2 s?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 130*p - 56. Let r(m) = -128*m + 57. Let k(q) = -2*n(q) - 3*r(q). Is k(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-22)\/h)\/h)**(-27) assuming h is positive.\nAnswer: h**648","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -18302.94 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264*p**3 - 116*p**3 - 89*p**3)*(-10 - 6*p + 10) + 16*p**4 - 10*p**4 + 4*p**4.\nAnswer: -344*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -3*q**4\/2 - 21*q**2\/2 - q - 9. Let j(g) be the first derivative of m(g). What is the first derivative of j(u) wrt u?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t + 2*t)*(-1209 + 1330 + 499)*((0 + 4 - 2)*(-4 + 2 + 3) + 0 - 3 + 1 + (3 - 4 + 3)*(-3 - 1 + 2)).\nAnswer: -2480*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 2*c**3 - 5*c**3 - 10*c**3.\nAnswer: -17*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4 + 1\/(-2). Let p(i) = 2 + 0 + a - i - 4. Calculate p(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 631*y - 628*y + 8, -4*a = 5*y + 50 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*54\/33*(-54340)\/(-38532)\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 27 = -53 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k + 16 = 0. Suppose -16 = -k*f - 0. Solve 5*y - 2 = 3*r + 2, f*r + 5*y = -17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5950593?\nAnswer: 3, 11, 60107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1300) - sqrt(52))\/(sqrt(100)*-4).\nAnswer: 13*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15 - 12*t**2 + 16 - 31. Let d(r) = 3*r. Determine d(g(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t - 9. Give m(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -13.9. Let i be (-2)\/4 + 622\/28. Let u = 22 - i. Which is the second smallest value? (a) 1\/6 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*o = -14, -6*r + 2*r + 3*o = -28. Let h = 7 - r. Solve -3*p = -d + 2 - h, -5*d - p = -26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.852 - 5.6022. What is d rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, -2.8, 0.0987, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9840 and 2460.\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 8. Let o(p) = p**3 - 6*p**2 - 6*p - 8. Let f be o(l). Which is smaller: -2\/17 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = 3*h. Let k be ((-2)\/3)\/(h\/9). Solve 16 = k*u + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g - 24 = -30*g. What is the greatest common factor of g and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 40*c**2 - 105*c + 90.\nAnswer: -5*(c - 3)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 42930.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*y - 7*y - 2*y)*(-52*y - 4*y - 25*y).\nAnswer: 1863*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3989*c**2 + 8*c**3 - 4005*c**2 - c**3)*(6 + 0 - 2)*(2 + 4 - 4).\nAnswer: 56*c**3 - 128*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(99) + 4*(sqrt(99) + (sqrt(99) - sqrt(99)*1)) - sqrt(99) - sqrt(99) - sqrt(99))\/sqrt(9) + -3.\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 6*d**2 + d - 3. Let u be a(6). Let y = 166096 - 166094. Solve 0 = -4*m - u*c + 19, -m - 5 = -y*m - c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 5*f + 4. Suppose 3*y + 7 = -2. Let t = -8 - y. Let r be c(t). Solve 3*u = -r*q - q + 17, 5*u = -3*q + 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3227*o**2. Let u(j) = -4*j + 65. Let m(g) = -g + 15. Let p(w) = -13*m(w) + 3*u(w). Determine y(p(c)).\nAnswer: 3227*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*h**4 - 14275*h**2 - 179010 wrt h?\nAnswer: -16*h**3 - 28550*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 3:38 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is cbc30 (base 13) in base 6?\nAnswer: 11524102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -3*v**5\/20 - 4*v**3\/3 - 5*v**2\/2 + 11. Let p(r) be the second derivative of h(r). Differentiate p(o) with respect to o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 + 471*x**3 - 166050*x**2 + 25961364*x - 1518467472.\nAnswer: -(x - 246)**3*(x - 204)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.198 minus 316.41?\nAnswer: -552.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5499 + 7957. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8494976 and 32.02049.\nAnswer: 31.1709924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2561823 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -4, -6, -2 in decreasing order.\nAnswer: 1, -2, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((225\/315)\/((-4)\/(-42)))\/(3\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-27)*14*36\/42?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = 5*g - 2*f, -4*f = 2*g - 93 - 113. Calculate the remainder when g is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -107, -150, -175, -176, -147?\n\"Answer: s**3 - 62*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**6\/33 - 4*r**5\/55 - 36. Factor p(y).\nAnswer: 2*y**4*(y - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33159, 132515, 298099, 529911?\n\"Answer: 33114*k**2 + 14*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70207751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4143\/19 - 218. Let t = -827 - -3311\/4. Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -27*n**5\/40 + 63*n**4\/32 - 2*n**3 + 3*n**2\/4 + 13. Factor v(i).\nAnswer: -3*i*(i - 1)*(3*i - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3 + 2*y - y - 5*y. Let u(b) = -b + 1. Let o(r) = -g(r) + 3*u(r). Let c(n) = 3*n. What is o(c(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -15611529 less than -15611529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.61992 hours in microseconds?\nAnswer: 200231712000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*i - 2 - 2, 5*i - 2*r = 1. Suppose -u + 2*c - 5 = i, 0 = 3*u - c - 7. Solve 4*z = -u*t + 12, -z - 1 = -2*z + t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(396) + -1*sqrt(396) - sqrt(396)) - -1*sqrt(396)*-1) + 3 + (sqrt(396) - (4 + 0 + sqrt(396) + sqrt(396))))**2*-3.\nAnswer: -10695 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291157 is divided by 1286.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvzzzvzuzvzv. Give prob of sequence vuzz.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p**2. Let a(s) = 944*s**2 - 485*s**2 - 477*s**2. Determine a(z(n)).\nAnswer: -1800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 16*d + 5 = 0, -2*w = -5*d + 19 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1050*r - 7 + 9 + 0 to y + f*r and give f.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q. Let p(u) = 106 - 27*u**2 - 206 + 100. Give x(p(i)).\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67192523 is divided by 1764?\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j - 3. Let w = 104 - 108. Let g(t) = 17*t + 9. Give w*g(d) - 11*z(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17922 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 261791091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -422, -928, -1638, -2558?\nAnswer: -3694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1.2634, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 6, -1\/4, 1\/4, -2 in increasing order.\nAnswer: -11, -2, -1\/4, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(396) + sqrt(396) + 1*sqrt(396)))\/(sqrt(11) + sqrt(1584)*-1))\/(-1*((sqrt(96)*2 + sqrt(96))\/sqrt(8) + sqrt(60)\/(sqrt(5) + sqrt(80)))))**2.\nAnswer: 16875\/30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*d = 56, 3*s = -d + 6*d + 31. Let y = 615 - 204. Let u = 414 - y. Solve -u*a = 4*r + s + 13, -2*r - a = 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -838, 10, -0.3, -2\/11, 0.3 in increasing order.\nAnswer: -838, -4, -0.3, -2\/11, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401116236 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-360))\/(495\/198)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 101*a - 1041. Determine m(3).\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031623 is divided by 13572.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -37.9?\nAnswer: -3.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 - -126 - (4 + 10 + -45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 245 + -250. Let x(y) = -3*y**3 - y**2 + 9*y + 14. What is the units digit of x(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1087841 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6839191169 to the power of 1\/3, to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92255*q - 91224*q - 1 + 2 + 0 to the form g + a*q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 106, 0, -6132 in decreasing order.\nAnswer: 106, 2, 0, -6132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:56 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1936 and -157\/396.\nAnswer: 17424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -16*x + 250. Determine z(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -13.\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/60 - 7*g**4\/24 + g**3\/2 - 16*g**2. What is t(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t + 17*t + 8*t.\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.93 - 0.15. Let b = a + -44.78. Let f = 44.64 + b. What is f rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*l**4 - 23*l**2 - 575?\nAnswer: -164*l**3 - 46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = 46. Suppose -47888 = -n*m + 119143. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15)\/(x\/(x*(x\/x**(-2)*x)\/x*x)*x))\/(x\/x**(1\/6)*x)**37 assuming x is positive.\nAnswer: x**(-479\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 656, 664, 684, 722, 784, 876, 1004, 1174?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 330\/(-44)*(1 + 4\/12) + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-1)\/4)\/(2\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52450070 and 7220?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4077*t**2 + 1358*t**2 + 1372*t**2 + 1358*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12637, 12714, 12841, 13018, 13245?\n\"Answer: 25*x**2 + 2*x + 12610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 307575\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1396 = -5*z - l, -5*z - 2*l + 216 = -1176. What is the remainder when z is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 11 = -16*a - f, 0 = 4*a - 3*f + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.24*831\nAnswer: 199.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(-3 + 3 + 2*k) + (-3*k + 2 - 2)*(-3 + 2 - 2) to s + c*k and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*r - 12, 0 = 8*j - 7*j - 5*r - 14. Solve -2*z = 2*w + 14, -4*z - 31 = j*w + z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13302 and 13303 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 1\/3 (c) -0.5 (d) 5\/30497 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 1420?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45875*u + 4 + 45879*u + 4*u**3 + 7 - 11.\nAnswer: 4*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 3. Suppose -v*b = -11*b + 100. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*k - 526*k + 171*k + 175*k + 2*k**2 - 167*k**4 - k**2 to the form j*k + v*k**4 + n + z*k**3 + p*k**2 and give v.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57184 divided by -7148.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 + -7 + 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 13*c + 16. Let m be h(-11). Suppose -14 = z - 15*z. Sort m, -4, 0, z in descending order.\nAnswer: z, 0, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let t be -1 - v - 3*-2. Suppose -t = -3*y + 3. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, q: 4, c: 1, l: 3}. What is prob of sequence cqlq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4\/3 + 31*l**3\/3 + 50*l**2\/3 - 232*l\/3 = 0.\nAnswer: -29, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from tvdtvvtttvftvlf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 726*l**2 - 87846*l - 3543122.\nAnswer: -2*(l + 121)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -7 - 9*(-3)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**5\/30 + 53*d**4\/72 + 43*d**3\/36 - 7*d**2\/6 - 2340*d. What is h in o(h) = 0?\nAnswer: -1, 1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.601, 4\/7, -0.2, -0.02.\nAnswer: -6.601, -0.2, -0.02, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Let m be 1460\/9 - (-30)\/(-135). Suppose -t*w = w - m. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*u + 20. Suppose 0 = -u*k + 3*k. Suppose k = -0*n + 3*n - 9. Solve 20 = 3*l - o, n*l + o = -o + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*a = -199 + 201, 4*a = -2*r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34\/85)\/((-1)\/(-5)). Suppose -t*l = -10, 0*l - 2*l + 5 = -5*o. Which is smaller: -1\/4 or o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -21*h. What is the units digit of 72\/(-18)*(-1 + h) + 182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose 4*d - 64 = x, -7*d - x + 89 = -b*d. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3908, -7833, -11814, -15887, -20088, -24453, -29018?\n\"Answer: -6*g**3 + 8*g**2 - 3907*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 - 101. What is the least common multiple of h and 17?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4 and 69\/82.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -345, -1888, -4617, -8532, -13633, -19920?\n\"Answer: -593*j**2 + 236*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050372662001 take away -925?\nAnswer: 925.050372662001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 8*s = -5*s - 16, 2*c + 2 = 3*s. Suppose 18*j = -c*j. Solve 4*i - 5*i - 5 = j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*a - 12 = 0, 3*s + 9 = -a - 0. Let i = -5 - -6. Suppose 2*y - i = 1. Sort y, 3, s in decreasing order.\nAnswer: 3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*(sqrt(1053) + -2 - sqrt(1053)))**2 + -1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**3 - 10*h**2 - 3*h - 5. Let c(a) = 9*a**3 - 21*a**2 - 7*a - 11. Let b(k) = -3*c(k) + 7*m(k). What is the third derivative of b(p) wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3236 - -3240. Solve -4*r = -8*l + 9*l - 16, 0 = 5*r + u*l - 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 140*o**3 + 1220*o**2 + 3360*o + 2880.\nAnswer: 5*(o + 2)**2*(o + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35066693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2009988 - 3652514. Let h = i - -1642570.99996. Let t = h + -45. Round t to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.48 (b) -0.1 (c) -3\/4 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6822565310 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l - 150. Let w(o) = 3*o - 30. Let a(m) = 2*i(m) - 11*w(m). Calculate the remainder when a(-9) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 2*w**2 - 2*w + 8. Let m be a(1). Suppose m*r = 3*r - 587. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 11792317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5 + 3\/30*-598. What is the common denominator of (642\/n)\/(2 + -1) and 85\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143\/55 + 229758\/(-89400).\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 15) to base 4\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22104, 87648, 196882, 349806?\n\"Answer: 21845*x**2 + 9*x + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 10*w + 18. Let j(n) = 7*n**2 + 20*n + 36. Let l(o) = 4*j(o) - 9*s(o). Is 20 a factor of l(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t**3 + 2*t**3 + 5*t**3)*(-4 - t**2 + 4) + (2*t - 2*t - 2*t**4)*(-2*t + 2*t - t)*(1 + 0 - 3).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.2 - -0.1. Let u = k - 10.21. Which is bigger: u or -0.07?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 + 10*o**4 - 20*o**3 - 40*o**2.\nAnswer: 5*o**2*(o - 2)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64927, 132017, 199107, 266197?\n\"Answer: 67090*c - 2163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -11*y**2\/2 - 14*y - 5. Let d be o(-10). Is 17 a factor of (-1 + -14)*d\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 4*h**2 - 7*h - 7. Let u be s(-5). Let o be (-2)\/3 - (-5)\/u. Solve -d = o - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 4*f. Let i(v) = 2*v**3 + v**2 - 7*v - 1. Let n(j) = -9*a(j) - 4*i(j). Let q(g) = -g**3 + 5*g**2 + 8*g - 5. Determine -5*n(y) - 4*q(y).\nAnswer: -y**3 + 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -3*m**2\/2 + 5. Let b(d) be the second derivative of d**3\/2 - d. Determine t(b(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3492924 micrometers in kilometers?\nAnswer: 0.0000000003492924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 3. Let t(c) = -5*c - 16. Let a(w) = 3*s(w) - t(w). Determine a(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -3*q**5\/5 + 11*q - 7. Differentiate w(o) wrt o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*3\/(-2) + 23. Let s be ((-3)\/(-2))\/(13\/l). Suppose s*m + j = 112, -2*j - 3*j = -4*m + 162. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 261.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n*n*n**(-3\/7))\/(n**(-2\/9))**(-4\/11) assuming n is positive.\nAnswer: n**(340\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (-20 + 10)) + (18 - -4) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -527 + 144. Let h = l - -762. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = t + 7, -2*t + 156*c + 4 = 158*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4596 - 481 = -424*g - 410*g - 73 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22\/(-22))\/((-2)\/2))\/((-15)\/20)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + u + 1126 = -u, b = 5*u + 555. Suppose -6*g = -g - 5*r - b, -4*r = -g + 98. List the prime factors of g.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5, 95 in ascending order.\nAnswer: -5, 1, 3, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 73990*k**3 - 2*k**2 + 2*k - 2. Let x be m(1). Suppose x = 2*v - 3*c, v - 36984 = 34*c - 30*c. Round v to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 33*t**2 + 18*t - 32. Determine g(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126955085*x**2 + 537740775*x?\nAnswer: -253910170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -17.98. Let y = i + 0.02. Let n(g) = -g**3 - 5*g**2 + 3*g - 14. Let x be n(-6). Which is the nearest to y? (a) x (b) 1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 64. Suppose 0 = 23*m - 22*m - p. What is the remainder when 57 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 >= 196097\/141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**4\/4 + 2*q**3\/3 + 6*q**2. Let m(g) = -g + 1. What is 10*m(i) - 2*w(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2839*i - 194583 - 213985 = 4705 - 123695 for i.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-213)\/(-10437) + 37186\/2646 + 28\/(-2).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82.9054 + -91.904. Let a = t - -9. What is a rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_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: Find the third derivative of -78*g**5 - g**4 + 374*g**3 + 9*g**2 + 4*g + 2867.\nAnswer: -4680*g**2 - 24*g + 2244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 6*y - 10391. Let k(d) = -2*d + 7. What is k(w(q))?\nAnswer: -2*q**2 - 12*q + 20789","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8335063 or 8335071?\nAnswer: 8335071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7765653t?\nAnswer: 776565300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/7)*n*n)**8\/((n*n\/n**4)\/(n**(2\/7)\/n)) assuming n is positive.\nAnswer: n**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftg when three letters picked without replacement from qyftqgt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4 + 440*f**3 - 12096*f**2 - 440*f + 12100 = 0. Calculate f.\nAnswer: -1, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 2509 in decreasing order.\nAnswer: 2509, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 100 - -26aa?\nAnswer: 27aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -18.06. Let b = w - -13. What is the second biggest value in b, -0.06, 2\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-5) - (-376)\/(-235).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose -2*h + q = -6. Suppose 7 = -h*k + 31. Solve k*n - 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Let n = 0.07 - 3.07. Let w = n - -1. Which is the nearest to 2? (a) k (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 16*m**2 - 1. Suppose 0*b - 2*b + 2 = 0. Is 7 a factor of j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189 - -185. Which is the closest to 0.3? (a) 1 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-7))\/5)\/(8\/14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263884, 263878, 263872, 263866, 263860, 263854?\nAnswer: 263848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.540127 minus 1491?\nAnswer: -1490.459873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y. Let g(l) = 21*l. Calculate c(g(d)).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -135465 (base 7) to base 12\nAnswer: -13040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 11:51 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4133, 5, 4, 3, -1, -2.\nAnswer: -3, -2, -1, 3, 4, 5, 4133","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let s(n) = 23*n - 4. Suppose 0 = 5*u + 2*v, 0 = -9*v + 4*v - 25. Let x(d) = 69*d - 14. Let p(i) = u*x(i) - 7*s(i). Give o(p(a)).\nAnswer: -46*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = -r - 940. Let q be 6\/33 - r*(-28)\/(-88). Suppose -2*n + q = 3*p, 0 = 2*n - 5*n - p + 559. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87442771 is divided by 1433488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**3 - 23*u. Let s(d) = -d**3 - d. Let f(r) = s(r) - v(r). Find the second derivative of f(w) wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 2. Let j be p(7). Let v(r) = r - 3. Let b be v(9). Calculate the greatest common factor of b and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 267006604 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -143*m**6\/3 - m**5\/10 - 3671*m**4\/12 - 1612*m. Find the third derivative of p(b) wrt b.\nAnswer: -34320*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.16 + -0.16. Let r = h + -13.1. Is -19 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 + 4 - -6 - -10 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 2. Let w be 2 - (-1 + (0 - -2)). Let t(n) = 6. Let k = -27 + 33. Let i(q) = -7. Let j(m) = k*t(m) + 5*i(m). Give w*f(r) + 2*j(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((24 - (46 + -20)) + -5 + -4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -70. Let i = -68 + m. Put i, 0, 3 in decreasing order.\nAnswer: 3, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 3693785\nAnswer: -14775140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 2*o**2 - o**2 + 2*o**2 - 85 + 2*o**2 + 623*o**3.\nAnswer: 623*o**3 + o**2 - 3*o - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -5*i**4\/4 - 3*i**2 + 1. Find the second derivative of h(q) wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4827, -9615, -14357, -19047, -23679, -28247?\nAnswer: -32745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/952*(-1020)\/(-366) and -2\/91.\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16618*t - 16309*t - 27501 for t.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n = 279904 - 278744 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 15 + 21. Let o = 18 + v. Is (o\/4)\/((-2)\/(-32)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1779 + 1758 - (0 - 3 - 89).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 1:27 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 1. Let t(c) = -5*c - 2. Let f(r) = -t(r) - 2*z(r). Let l(o) = -5*o**2. Let g(i) = -30*i**2. Let b(d) = 4*g(d) - 25*l(d). Give b(f(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-126))\/((-204)\/(-42))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (252\/(-99) + 2)\/((-8)\/44). Let j(c) be the first derivative of -8 + 0*c**4 + 0*c**a + 0*c - 5\/2*c**2 + c**5. Find the second derivative of j(s) wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13356839.\nAnswer: 13356839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11*u + 9*u + 23 = 0, -2*k = -4*u + 2. Is k bigger than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, i: 5, o: 3, b: 7, x: 1}. What is prob of sequence xbo?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -51061084 divided by -3\nAnswer: 51061084\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27767, 15, -0.3 in increasing order.\nAnswer: -0.3, 15, 27767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0232402022 to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 3*z + 68. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 8*p**2 - 11*p**2 + 6*p**2 + 21 to j*p + t*p**2 + l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1720090400 to the nearest 1000000.\nAnswer: 1720000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 4*o + 165*o**2 + 3*o**4 + 33*o + 27*o - 61*o as g*o**4 + d*o**3 + t*o**2 + i*o + l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*n**2 - 1\/5*n**3 - 1\/5*n**4 + 1\/5*n - 2\/5 = 0 for n.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 109*a**5 - 7*a**3 - 10*a**2 - 11*a. Let g(b) = b**3 + 2*b. Let u(y) = -2*d(y) - 14*g(y). Find the third derivative of u(l) wrt l.\nAnswer: -13080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 992487000 to the nearest 1000000.\nAnswer: 992000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 162*n**2 - 170*n**2 + 332*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 82 = -1762. Round t to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 137\/((-2)\/4*-6). Let b = -46 + l. Suppose c + 1 = -5*a, 0*a + 3 = a - 3*c. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -3*i - l, -3*i - 9*l = -5*l - 173. Let t(c) = -52*c + 2 + i*c - 1. Suppose -j = -2 - 1. Determine t(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 63851389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3323 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v + 17. Let a be p(-4). Let o = a - -2. What are the prime factors of (119 + o)\/(30\/45)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 17229 = -17*v + 915. Calculate the remainder when v is divided by 90.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 651622.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20944 and 498096192.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8*((-28)\/8)\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 52*c - 2366.\nAnswer: -2*(c + 91)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13628*d*p**5 + 2*d*p - 29*d - 49*p**5 + 37981*p wrt p.\nAnswer: 272560*d*p**3 - 980*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1311023, 1311019, 1311015, 1311011, 1311007?\nAnswer: 1311003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 6. Let r(l) = -3*l - 6. Let a(f) = -4*n(f) - 5*r(f). Let q be a(-4). Let i = 34 + q. 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: b\"What is the uth term of -988, -986, -984, -982?\n\"Answer: 2*u - 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 t, and 2 q when four letters picked without replacement from {t: 2, f: 1, j: 5, a: 5, q: 4, m: 3}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(28) + -1).\nAnswer: -5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 6) in base 10?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4214 and 140?\nAnswer: 42140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, -255, -1144, -2377, -3948?\nAnswer: -5851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -41*v**3 - 45*v. Let f(a) = -41*a**3 - 47*a. Let y(q) = 3*f(q) - 2*p(q). Find the second derivative of y(u) wrt u.\nAnswer: -246*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -744, 0.4, 1\/7, -2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**28*n\/n**(-1\/7)*n assuming n is positive.\nAnswer: n**(211\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 21*z**5 + 14*z + 5. Let p(k) = -11*k**5 - 7*k - 2. Let n(v) = 2*c(v) + 5*p(v). What is the second derivative of n(l) wrt l?\nAnswer: -260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/7)\/(z\/(z*z**(-2\/79))))**(9\/8))**(-1\/35) assuming z is positive.\nAnswer: z**(297\/15484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96399178 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-2.2984863\nAnswer: -0.045969726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1243, -2520, -3797, -5074, -6351?\n\"Answer: -1277*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31.2009390985 and 0.3.\nAnswer: -30.9009390985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.038, -10183\/5, 4\/7?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 + 8*g + 21. Let p(f) = 14*f**2 - 22*f - 62. Calculate 4*p(i) + 11*v(i).\nAnswer: i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 2*p + 2310 = 0. Let t be -2 + 8\/20 + p\/(-10). Which is greater: t or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 1\/3*k**3 - 3*k**2 - 1\/20*k**5 + 0*k + 0 - 1\/8*k**4 + 1\/120*k**6. Let t = 7 + -4. Give d(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 91178945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3268*m*n**2 + 544*m*n + 9*n**2 + 1012797*n - 1 wrt m?\nAnswer: 3268*n**2 + 544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbo when three letters picked without replacement from {b: 2, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -62.13. Let s = i + -2.12816. What is s rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4031557779 take away 2025?\nAnswer: -4031559804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 224 (c) 0.7 (d) -0.1 (e) -1 (f) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 1:53 AM?\nAnswer: 339","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6. Suppose o = -3*g - 2*g. Find the third derivative of a**6 - a + 2*a**2 + a + g*a**6 wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 4 - 16 - -15\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 8*d - 36 = 5*d, -18 = -k + 3*d. Let y(q) = -2*q + 13. Let n be y(k). Which is smaller: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 + 4 - (-28)\/(-24206)*-10381. What is the second smallest value in t, 1, -5, -2\/9, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxr when three letters picked without replacement from {x: 2, r: 1, d: 2, i: 1, z: 3, y: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**4\/24 + l**3\/2 - 4*l**2. Let g be t(2). Solve g*r + 26 = 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:22 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25504 + 19103.\nAnswer: 44607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjybybyj. Give prob of picking 3 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 0*m - 2\/3*m**2 + 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 1 + 7)*(-2*w + 4*w + 0*w) + (-4 + 3 + 2)*(-3*w + 4 - 4))*(w**2 - 6*w**2 + 4*w**2) as f*w**2 + b*w + n + h*w**3 and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 32*d**3 - 71*d**2 + 45*d - 69. Is p(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7784529427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 36660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 2944055152.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*n - 9*n + 8*n)*(-2 + 2 + 4) in the form p + w*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*m - 283*m = -15010. Suppose 4*q + 5*o - 10 = 309, -292 = -4*q + 4*o. Which is greater: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19142 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36523329 a multiple of 3369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -177 + 57. Let p = -20 + n. Calculate the remainder when 176 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33442708 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(((g\/(g**(1\/2)*g))\/g)\/g))**(-36))**(2\/19)\/(g**(-7)\/g*g**(-1\/4)*g*((g*g**(-1\/3))\/g)\/g**6) assuming g is positive.\nAnswer: g**(-1655\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let w(x) = -342*x + 1867. Determine r(w(z)).\nAnswer: 684*z - 3734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10233*i**3*k**2 - 33520*i**3*k + 78*i**2*k**2 + 3*i*k**2 + k wrt k.\nAnswer: 20466*i**3 + 156*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 485 + -482. Let u(t) = -t - 3. Let x(k) = k**2 - 3*k - 7. What is p*x(f) - 7*u(f)?\nAnswer: 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5630 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s\/((s\/s**(-6\/13)*s)\/s))\/((s\/(s\/((s**(1\/2)*s)\/s)))\/s)*((s\/s**(13\/6))\/s)**(-38) assuming s is positive.\nAnswer: s**(6659\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(9)\/sqrt(3)) - sqrt(209)\/((sqrt(11) - sqrt(22)\/sqrt(2)) + sqrt(11)) - (sqrt(171) - (sqrt(171) + sqrt(171)*-3)*5)\/sqrt(9))**2 + 5 + -5.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43379 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + (-2 + sqrt(539))**2)*2.\nAnswer: -270*sqrt(11) + 5430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*i**3*o*q**3 - i**3 - 2*o*q**3 + 4*o*q + 43*q**3 + 5 wrt o?\nAnswer: -9*i**3*q**3 - 2*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6343532 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2549367.\nAnswer: 3, 94421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3209304 divided by -12.\nAnswer: 267442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, o: 7}. Give prob of picking 4 o.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, t: 7}. What is prob of picking 1 w and 3 t?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(175)*1 - sqrt(175)) + sqrt(175) + 1)*6)**2.\nAnswer: 360*sqrt(7) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5474 or 5471?\nAnswer: 5474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 8*f - 14. Let r be a(5). Find the first derivative of -r + 19*q**2 - 6 - 3 - 8*q**2 wrt q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.2, -2\/3, 4\/2907, 5, -216?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 43. Solve 0*d - d = -2*c + 14, h*c + 5 = -5*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h - 65 = 0. Suppose 2*w - 61 = z, -4*z - 1 = -h. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 6017256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882*j = 901*j - 152874. List the prime factors of j.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(7)*-1)**2 + 1 + sqrt(28).\nAnswer: 2*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + u**2 + u + 12. Suppose f + 0 + 3 = 0. Let k = f - -3. Let i be g(k). What is the highest common factor of 36 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3256 + -3284. Let m = 28 + -56. Let j = f - m. Which is the closest to -0.04? (a) j (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(26\/(-2076)) - (1 - -3). Suppose 2*u + 0*u + r - w = 0, 4*r - 2076 = -4*u. Suppose 2*m - u - 483 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -302*v**3 - 151*v**2.\nAnswer: -1812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 143 - 626 = 0. Let f = -1127\/30 + 579\/10. Let l = f + u. Which is greater: l or 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 7*h**2 - 2. Does 34 divide u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -187 - 23. Suppose -3*g + 447 = k. What are the prime factors of g?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15553.\nAnswer: 103, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53.5*-2.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10\/23, 1, -0.069, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = -5. Suppose -122 = 4*c + 4*f - 182, 5*c - 74 = -4*f. What is the remainder when c is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -15, -1525, -3, -5 in increasing order.\nAnswer: -1525, -15, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1019285950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * 4.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 7*q**2 - q + 10. Let c be u(7). Solve 16 = -c*x + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27932 or 8854780\/317?\nAnswer: 27932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Suppose -f + 67 = -4*g, 3*g + c*f + 57 = 3*f. Let i = g + 22. 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: How many minutes are there between 2:01 AM and 12:47 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -4e736?\nAnswer: 4e732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 583.4576 to the nearest 10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 11 - 5 = -2*t, 8 = 4*v. Let d be -1 + 0 + (-1)\/((-3)\/t). What is the remainder when (d - (-38)\/(-4))\/(1\/(-6)) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2663 - 2664. What is the second smallest value in 0.4, -0.4, -35, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 10 - 15) + 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(2299)*-1 + -3 + 1*(1 + sqrt(2299)*2 - sqrt(2299)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-3 - sqrt(132)) + sqrt(132) + sqrt(132))\/(4*sqrt(243)).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-6)\/(-3))*(30 - 35). Solve 5*l - 30 = -h*u, 4*l - 9 = u - 2*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 870 divided by -870\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*i**3*u**2*z**2 + 468*i**3 - 30*i**2 - 829*u**2*z**2 - 3*z**2 wrt i.\nAnswer: -270*u**2*z**2 + 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 7*s - 8. Let t be l(8). List the prime factors of (-9)\/(-4) - (-4)\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10110?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(-114) + ((-97525)\/1950)\/47?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10302 divided by 6?\nAnswer: -1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g**2 - 4*g + 4*g)*(-2 + 4 - 1) + (-116*g + 370*g - 586*g)*(5*g - 3*g - g).\nAnswer: -318*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 16*x + 17*x - 1, 2*h + 2*x - 10 = 0. Put 0, h, 3, -10 in descending order.\nAnswer: 3, h, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 - 139. Suppose -g*f = -10*f - 2. Sort -7, 4, f in descending order.\nAnswer: 4, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 485934734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4963844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 628 divided by -3\nAnswer: -628\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73454198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 + 5*b + 4. Let f be g(-5). Suppose f*d + 5676 = 50*d. Let v = 2692 + d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = n - 48, a + 96 = 5*n - 144. Suppose 0 = -5*k - g + 51, -4*k + g = -0*k - n. Suppose 9 + k = 4*v. Solve -2*b = -b - v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 3*g - 1. Let w be v(-4). Suppose -w*u + 32 = u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-35))\/((-4)\/(128\/(-96))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 218 = -66. Suppose 5*o = -f + 25, -o - k = -4*o + 4*f. What is the remainder when 196 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 397632923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -11. Let k be (-2 - -1) + 2*(5 - 3). Let q(p) = 2*p + 3. Let j be q(4). Solve 3*m - 4 = m - s*i, -k*m - j = -i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874369 to the power of 1\/2, to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 5*k - 60. Suppose 1512217 = k*j - 1305703. Suppose j = 7*d - 152208. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/6 - 1)\/(-2). Sort -3, -1, -2, n in decreasing order.\nAnswer: n, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3\/3 - 666*w**2 + 25660*w\/3 - 7888 = 0.\nAnswer: 1, 12, 986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97342385.\nAnswer: 5, 7, 2781211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - s - 1. Let c(r) = -5*r**2 + r + 2. Let k(x) = -c(x) + 4*o(x). Suppose 5*h + 7 = 32. What is k(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(72) - 3*((-2*sqrt(72))**2 - sqrt(72))) + -5.\nAnswer: -869 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 626.58 + -626. Let r = 461.42 - 468. Let j = w + r. Which is greater: -3\/2 or j?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122\/4 - 3024\/224?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 17 = 3*o - 3, 0 = 2*o - 3*l + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 225?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 788 - 772. Solve 6 = -10*d + k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4767 - 4818. What is the second smallest value in n, -5, 1\/3, 4, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 587873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 97 + 97)*(-2035*o**4 + o + 2041*o**4 + 2*o**3 + o**3).\nAnswer: -12*o**5 - 6*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6)*(-1 + 101). Let m be (p\/24 + (-2)\/(-8))\/(-1). Solve -3*k + 5*k + m = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 - 4*s**2 + s. Let c(n) = -3*n**3 + 3*n**2. Suppose 7*f - 31 = -3*z + 2*f, 5*f = z + 23. Give z*y(x) + 3*c(x).\nAnswer: -x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, -2\/1761, 62\/43 in descending order.\nAnswer: 62\/43, -2\/1761, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 9:54 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -23*v - 889. Which is bigger: 130 or v?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8201114\/21 + -390345. Let z = h - 1301\/7. Let m = 807\/10 + -80. Calculate the common denominator of z and m.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2212 = -3*k - t - 539, -4*k - 5*t + 2216 = 0. Suppose -12*a = -1973 - k. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + 5*y**2 + 57*y + 15. Let i(w) = 7*w**3 - 8*w**2 - 86*w - 23. Determine 5*i(a) + 8*u(a).\nAnswer: 3*a**3 + 26*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7 - 3. Let c be 3\/(-15)*(-1 + -2). Let l be (1\/4)\/(3\/(-4)). What is the third smallest value in c, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7274 + 14564 - 7282 + 23574*r - 23573*r.\nAnswer: r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**3 - 5134611*z**2 + 4686556 wrt z?\nAnswer: 6*z**2 - 10269222*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*f - 3*f. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(7\/3))**(-17)\/(j\/(j*(j\/(j\/(j*j**(-20)\/j*j*j))*j)\/j))**(4\/19) assuming j is positive.\nAnswer: j**(-2477\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - 109.0286. Let l = m + 0.028472. What is l rounded to 6 dps?\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -266 - -273. Suppose 0 = n + l*n - 24. Factor 2\/5*h**2 - 2\/5*h**4 + 2\/5*h**n + 0 - 2\/5*h.\nAnswer: -2*h*(h - 1)**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717742.\nAnswer: 2, 383, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 186042329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*t + 5 + t + 2*t - 4*t + (0 - 3 + 2)*(-t - t + 3*t) + t + 2 - 2 + (3 + 0 - 5)*(-5*t + 21 - 21) + 10*t + 14*t + 0*t)*(-4*t**2 + 4*t**2 - 3*t**3).\nAnswer: -93*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -5 - -16 - 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3\/8)\/c))**38 assuming c is positive.\nAnswer: c**(361\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/(-4)*(-18)\/21. Let u(y) = 2*y + 1. Let b be u(h). Let m = b - 20. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*k, 0 = -3*o - 5*k - 11 + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 13*f**2 + f + 11. Let i be s(-13). Let o be (-12)\/(-2) - i\/(-2). Suppose 4*q + o - 73 = 0. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -15*x**3 - x**2. Let i be f(1). Let z(c) = c**3 + 17*c**2 + 16*c + 18. What are the prime factors of z(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 71 + 84. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.057 (b) -0.056 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 23, 39, 57?\n\"Answer: o**2 + 11*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -1021.\nAnswer: -41\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*z**4 - 87\/8*z**2 + 19\/8*z**3 + 113\/8*z - 23\/4.\nAnswer: (z - 2)*(z - 1)**2*(z + 23)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4269538.4 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/4 + 25*y. Suppose 10*o - 5*o - 25 = 0. Let q(p) = -5*p + o*p - p**2. Calculate q(m(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85681\/12 - -7116. Let i = 1405\/48 + j. Find the common denominator of i and -121\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = 3*g. Let o(z) = -z + 5 + 9 + 8 - 22. Give o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1753055 divided by -18\nAnswer: -1753055\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(5)*-2*6 - (4 + sqrt(20)\/sqrt(4)) - (sqrt(90)\/sqrt(24))\/sqrt(3))*3)**2.\nAnswer: 900*sqrt(5) + 28701\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/220 and -37\/18150.\nAnswer: 36300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310421 - 201024?\nAnswer: 104342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3469*t - 312*t**3 - 3469*t - 79*t**3.\nAnswer: -391*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -57*f**2. Let j(t) be the third derivative of -t**4\/12 - 24*t**2. Give j(c(h)).\nAnswer: 114*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2 + sqrt(180) + sqrt(180))*6)**2 - (4*(2 + (sqrt(180) - (sqrt(180) + sqrt(180) + 3 + sqrt(180)))))**2.\nAnswer: -1248*sqrt(5) + 14420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*d - 223*d - 454*d to a*d + f and give a.\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -13.7. Let i = 0.1 - 0. Let w = k - i. Which is the smallest value? (a) -1 (b) -0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550 minus 29?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 0.4 (b) -1\/3 (c) -2 (d) 4\/2437 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27 - 27*u**4 - 31*u**4 + 22*u**4 wrt u.\nAnswer: -144*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 2*n - 1. Let w be l(2). Let a = 7 - w. Calculate the greatest common factor of a and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245206980 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18.16 and -2.5.\nAnswer: -20.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 not equal to -520\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3845340.\nAnswer: 2, 3, 5, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/18 and 61\/4272.\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p + 5*g = -25, -4*p - 5*g - 25 = 0. Let u be 104\/(-260) + (-262)\/(-5). Suppose -4*f + u + 44 = p. What is the remainder when 95 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 105461.7ns?\nAnswer: 105.4617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrppddpdpdfpdfdpfd. Give prob of sequence df.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52031 divided by -1?\nAnswer: -52031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28502 times -48755?\nAnswer: -1389615010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -680648.6474 to the nearest one thousand.\nAnswer: -681000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10401824591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 46532141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539 = -p - i, 7*i - 2695 = -5*p + 5*i. Suppose 4*s + 2*g - 44 = 0, -30 = -4*s + g + 20. What is the remainder when p is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(2 + sqrt(1377))**2 - sqrt(1377))*6 + ((sqrt(1377) - (sqrt(1377) - -2*sqrt(1377)*-1)) + (sqrt(1377) - (sqrt(1377)*-1 - sqrt(1377)))*-4)**2.\nAnswer: -1134*sqrt(17) + 96271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = -3*x - 44, 5*d = 4*x + 47. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - 120. Let p = 7163.981 + -7305.98328. Let y = g - p. What is y rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -723 (base 11) in base 12?\nAnswer: -608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) + (-112)\/(-448).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (114552\/(-1440) - 3\/15)*-24*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 16 - 7*i**2 - 8*i**2 + i**3 - 30 + 36 + 17*i. What is o(15)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 15 = -7*a. Solve 5*b = -10, 0 = 5*t - a*b + 7 - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.049?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*((-8*n - 21*n + 7*n)*(-2 + 1 - 3) - 9*n + 0*n - 14*n) to the form c + m*n and give m.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbs when three letters picked without replacement from {v: 7, q: 3, s: 8, b: 2}?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clnp when four letters picked without replacement from {a: 3, p: 1, n: 1, l: 5, c: 4}?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/4 (b) -2 (c) 3 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) - sqrt(42)\/sqrt(6)*-5) + sqrt(35)\/(sqrt(20)\/sqrt(4)) + -4)*-1)**2.\nAnswer: -56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l + 9*l**2 + 15 - 3 - 2 + 3. Is s(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12*g**3 + 2*g. Let w(s) = -13*s**3 - 3*s. Give -3*n(r) - 2*w(r).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 317270.5 decades?\nAnswer: 3172.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 419621*q**2 + q - 2357815 with respect to q.\nAnswer: 839242*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -f - 2*f, 3*x + 11*f + 0*f - 6*f = 2*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 61, -7 in descending order.\nAnswer: 61, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + (7 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1689960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2. Suppose 0 = 5*n - 11 + 31. Suppose 2*v + 47*f - 42*f = -31, 5*f + 23 = -6*v. Calculate the smallest common multiple of j(n) and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 2 k when four letters picked without replacement from krimkkdkkrkkkkkkdk.\nAnswer: 11\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.2, 0.3, -282, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**5\/5 + 447*o**4\/5 - 17028*o**3\/5 + 62652*o**2\/5 - 60816*o\/5 = 0.\nAnswer: -181, 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28804462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 735?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000314 to 6 decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 518\/221 + -32\/13. Let c = -26 + 20. Let p = -15\/2 - c. Put p, -3, b in decreasing order.\nAnswer: b, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2176 and 41.\nAnswer: 89216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 4*c**4 - 11*c**3\/3 + 11*c**2\/2 + 11*c + 2. Let x(z) = -3*z**3 + 2*z**2 - 2*z - 2. Calculate -6*o(w) - 33*x(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -60*d + 30*d + 21*d + 24*d - 37. Let z(n) = -n + 1. Let m(w) = g(w) - 2*z(w). Differentiate m(p) with respect to p.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 5 + 5*k - 5*k. Suppose d + 5*y = -24, -3*y + 23 = -11*d - 9. Give n(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -89, 338, 1121, 2368, 4187, 6686?\nAnswer: 9973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/13)*n**(2\/63))\/(n**9*n\/(n*n**(-27)\/n*n)) assuming n is positive.\nAnswer: n**(-29521\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*p + 60, -82280 = 34*d - p - 82360 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/6))**(-3\/31)*(s**9*s)**(-1\/17) assuming s is positive.\nAnswer: s**(-705\/1054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 40.7442 decades?\nAnswer: 407.442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-21)*(-12 - 2) - (-112)\/(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.3? (a) -5 (b) 2 (c) -363 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 323509891?\nAnswer: -323509890.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(6 - 3)*2\/4. Let s = 51 - 40. Suppose -y + 14 = -5*x - s, -k*y - 5 = x. Solve -2*z + 6 + 4 = y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 5*m + 4. Give j(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -449*i**5 - 7*i**4*v**3 + 8*i*v**3 + i*v**2 + 97*i*v + 3*v wrt i.\nAnswer: -8980*i**3 - 84*i**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 8:41 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h + 5*h - 20*h + 19*h to the form a*h + d and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -7 + 11 - 44) + -5 + 4 + -9.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 + -147. Let h(g) be the first derivative of 16\/3*g**3 + 16*g**2 - 32*g + 14\/5*g**5 - 3 - 8*g**4 - 1\/3*g**u. Factor h(w).\nAnswer: -2*(w - 2)**4*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let c(g) = -2036*g. Give i(c(n)).\nAnswer: 4145296*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8320 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - t + 0*t)*(4*t - t - 5*t)*(7 - 5 + 2) to the form h*t**2 + f + l*t and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 4, 2, -3.\nAnswer: -3, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -8*f - 4. Let v be 30\/55*73\/208. Let s = 1\/104 - v. Sort s, f, 1\/4 in descending order.\nAnswer: 1\/4, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2753, 11173, 25407, 45617, 71965, 104613?\nAnswer: 143723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1312 - 11806\/9. Which is the nearest to 1\/3? (a) -16 (b) -1\/3 (c) -2\/5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23038 divided by -36.\nAnswer: 11519\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 0.16, -1.1, -3, 6 in ascending order.\nAnswer: -3, -1.1, 0.16, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + (16 - -7 - 22 - 25)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.0413055679 plus -163?\nAnswer: -108.9586944321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Let l = m + -4. Solve 36 - 11 = -3*c + 4*j, -4*c + 5*j - 32 = l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3599944346 rounded to 2 decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 2. Let f be m(1). Solve -f*s = -s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/9 - (-36)\/(-162). Is 2 a factor of (-1)\/(t\/6)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v - 87 + 48. Put 7, 2, 12, v in ascending order.\nAnswer: v, 2, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(sqrt(204) + 2*sqrt(204)))\/((-1*sqrt(96))\/sqrt(8) - sqrt(12)) - (sqrt(170)\/sqrt(20))\/(sqrt(2) - (6*sqrt(32) - sqrt(2))).\nAnswer: 529*sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 3*n + 10, -5*b + 7*n - 4*n = -14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*k + 31, -4*k + 19 = u - 5. Differentiate -5 - k + 11 - 4 - 9*n wrt n.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 574 and 4652434?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/(-21)*((-12)\/(-10) + -3). Suppose -32697 = -24*k + z*k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -23a924a?\nAnswer: 23a9253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = b - 105. Calculate the remainder when 59 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {p: 5, j: 2, e: 8, z: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 - 340*l**3 + 6420*l**2 - 21760*l + 20480 = 0.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 4, s: 14}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5 = -3*c - 2*y, 2*c - 26 = 4*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 6*f**2 - 4*f. Let c = -3 - -7. Suppose 0*n - c = -n, 5*a = 5*n + 5. List the prime factors of j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/((-2)\/6). Let p = s - 1. Suppose 4*k - 21 = -p. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547472 is divided by 109150?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -76543*b**2 - 3*b + 10. Let z be a(9). What is z rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 53, 186, 443, 866, 1497, 2378?\nAnswer: 3551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*167.057.\nAnswer: -835.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -15*m - 34. List the prime factors of s(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -5*sqrt(13))**2 - (-4 + (sqrt(13) - (sqrt(13) + -5 + sqrt(13)))) - (-1 + sqrt(832) + -4*(sqrt(832) - (sqrt(832) + 2) - sqrt(832)))**2) + 4.\nAnswer: -20517 - 539*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6126, 7465, 9758, 13053, 17398, 22841?\nAnswer: 29430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a week in minutes?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 3*t + 4*t**2 + 0*t**2 as h + r*t + w*t**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 13) to base 4.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 1, o: 1, t: 1, p: 4, s: 2}. Give prob of sequence pjj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 15*x + 45. Let m(z) = 5*z - 77. Let c(y) = -3*y + 44. Let w(k) = 7*c(k) + 4*m(k). Calculate n(w(o)).\nAnswer: 4*o**2 - 15*o + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**4\/30 - a**3\/15 + 12*a**2\/5 + 89*a - 2. Determine o, given that f(o) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from vcxvkkv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*p**3 - 27*p - 23*p**3 + 37*p**3 + 6*p - p**3 - 6*p + (2*p + 4 - 4)*(-3*p + 3*p - 2*p**2) + 0*p**2 + 0*p**2 - 2*p**3 + p**3 - 2*p**3 + 0*p**3.\nAnswer: -7*p**3 - 27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d + 0 - 1\/2*d**4 + 2*d**3 - 5\/2*d**2.\nAnswer: -d*(d - 2)*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let u(k) be the third derivative of -k**6\/240 - k**4\/12 - 4*k**2. Let q(t) be the second derivative of u(t). Give q(v(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -251\/5 - -252\/5. What is the common denominator of a and -91\/2320?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 678300?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -61.\nAnswer: 66\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 16 = -5*r, m + 0*r + r = 0. Suppose -p - s + 9 = -0*s, -m*s = p - 12. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 257*d - 8. Let p(f) = -10*f**2. Determine p(r(t)).\nAnswer: -660490*t**2 + 41120*t - 640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 4*p + 64 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*v - 2180 - 1884 - 4472. Sort 5, 4, v.\nAnswer: v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 142 - (-9 - 9 - -11 - -15 - 3).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 + 217056*l + 1085355 = 0. Calculate l.\nAnswer: -5, 72357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-130)\/4 + (-6 - -7). Let i = -437\/14 - a. Solve -2\/7*b**2 + 4\/7 + i*b = 0 for b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15775 and 14513.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1965 is divided by 283.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 3969?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 21 (b) -2 (c) -0.1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 18. Let r be l(6). Let h be r\/(-12)*(15 + -1 + -2). Solve -h + 2 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100552381 is divided by 325?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1080 divided by 6\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 364*p**2. Let l(h) = -5*h**2 + 2. What is m(l(o))?\nAnswer: 9100*o**4 - 7280*o**2 + 1456","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 72 = -0*f. Suppose -8*o - f = -4*o. Let k be 266*(2 + 9\/o). Calculate the greatest common factor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-129)\/(-18) - 8)*-2. Let t(o) be the second derivative of 9*o + 0 + q*o**3 + 0*o**2. Let k(f) = -f. Determine k(t(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -14*l + 8. Let u be m(-11). Suppose -3*o - u = -6*o. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*21\/119.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z + 24. What is g(-13)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/7 and 32\/388413.\nAnswer: 2718891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3768 and 1219576?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 51.4 * -337\nAnswer: -17321.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(3 + (-44)\/14). Solve c = 64*v + 6*v - 70 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-61)\/3)\/((-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222866528 and 16?\nAnswer: 222866528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 3*h + 11*h - 19*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1300*j + 10318. Give r(9).\nAnswer: -1382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240 - -242. What is the derivative of 8931 + 23*k**2 + 23*k**b - 8980 + 2*k**3 - 8*k**2 wrt k?\nAnswer: 6*k**2 + 76*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25998112 divided by -14\nAnswer: 1857008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268 + 451. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 11*y**2 - 10*y + 8. Calculate the smallest common multiple of 6 and l(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 11 - 14 + 1835*y.\nAnswer: 1835*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -2*w + 4*n, n + 11733 = -3*w + 11661 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13832251 is divided by 6916122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-42)*(-2 - -2 - -6251).\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 + 6)*(-4 + 2 + 1)*(20*t + 4*t**2 - 20*t)*(0*t + 2*t - 6*t).\nAnswer: 192*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -411606 - -411606.04. Let q(k) = k**3 + 4*k**2 - 5*k + 5. Let d be q(-5). Which is the smallest value? (a) -2 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1362059.\nAnswer: 5448236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53502 and 36?\nAnswer: 321012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 652 (base 8) to base 15\nAnswer: 1d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11330 + -333031133?\nAnswer: -333103123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z + 1513000 = 73*z. What is the tens digit of (-10)\/(-35) - z\/(-70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:31 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 divided by 450?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:46 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((s\/(s*s**(5\/6)))\/s*s)\/s)\/s)\/s*s)\/s)\/(s*s*s**3))\/(s**0)**(2\/103) assuming s is positive.\nAnswer: s**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - -54. Let w = s - 107. Is -7\/2 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 254591*r**2. Let m(a) = a. Determine m(g(x)).\nAnswer: 254591*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 646176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x**18\/x)\/x))\/((((x*((x\/(x*x\/(x*x\/(x*x**2*x))))\/x)\/x)\/x)\/x)\/x))\/(x**(-7))**(18\/7))**35 assuming x is positive.\nAnswer: x**350","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5186097391 - -0.02.\nAnswer: 5186097391.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 + 2*m + 0*m**2 + 0*m**2)*(-14 + 9 + 16)*(-1 + 2*m + 1) to the form f*m**2 + j + a*m**3 + w*m**4 + u*m and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -1798\nAnswer: -8\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 2*j - 18*j - 4*j to the form p*j + y and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 190*o + 1417 + 2471 = 0. What is the closest to o in 3, -1.6, -2, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8926.00010567 + -8926. Round q to 6 dps.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4061, 16240, 36539, 64958, 101497, 146156?\n\"Answer: 4060*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 391056 and 0.22?\nAnswer: 86032.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171199113 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 28.11. Let f = v + -1.11. Let k = -4.9 + 5. Which is the nearest to k? (a) 0.4 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaasgakadzgkkzs. What is prob of sequence ad?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 195.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 105626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2. Suppose 3*f = 7*f - 20. Suppose -2 = i - 4*m, -4*m + 9*m + 5 = f*i. Let n(q) = 2 - 2 + i*q**2 + 0. Give n(c(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-3 + 4)\/27). Let z be 1*(-2 + i + 1). Let d be ((-4)\/(-10))\/(z\/20). Are 2\/9 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d8 + 2?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (55 + -22 - 7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88221, 88968, 89715?\nAnswer: 90462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.96 - 0.04. What is the closest to u in -1\/7, -0.05, 2\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 3. Suppose -37 = 5*f + 3. What is the remainder when z(f) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*p - 544*p + 439708 = -6041*p for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -31. Suppose 1593 - 418 = x*k. What is the least common multiple of 8 and (-3)\/(-5) + k\/25?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200202110012201 + -10?\nAnswer: 1200202110012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k - 24*k + 240 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 83 = -5*b + 49, 2*x = -5*b - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 874, 885, 896, 907, 918?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 3*c - 1. Let f(x) = x**2 + x. Let y(a) = -5*f(a) + 2*z(a). Solve y(i) = 0 for i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6\/47 (b) 0 (c) 11 (d) 5 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.315 - -0.015. Let v = 18.22 - -5.48. Let q = v - x. Which is the closest to q? (a) -1 (b) 0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -4. Suppose b*r + 5*r - 30 = -5*k, k + 4*r - 18 = 0. What is the third derivative of c**2 + k*c**6 + 2*c**3 - 2*c**3 wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 1. Let i be g(-3). Suppose 4*n = i*n. Let s = -10 + 2. Is s >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -96. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b75 (base 14) in base 5?\nAnswer: 221442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l - 234. Let p be s(13). Suppose 0*q + 497 = i - 4*q, p = 5*i - 4*q - 2469. What are the prime factors of i?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155455455941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6456 equal to -1917842\/297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.96 + 0.04. Let j = 288 + -288. Which is the nearest to -1\/2? (a) j (b) m (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1024 and 45141504.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12229092 is divided by 4076337.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.44 + -1.4396392. Round p to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -36, 3, 6, 5 in decreasing order.\nAnswer: 6, 5, 3, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b - 7. Let r be c(-19). Let s = 34 + r. Suppose -4*j + s = -j. What is the remainder when j is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.255 + 3.155. What is the nearest to h in -4, -17, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**2 - 11*k + 1. Suppose 0 = -4*m + 2*l + 30, -20*m + l - 3 = -21*m. Let h(q) = 20*q**2 + 32*q - 3. Determine m*h(a) + 17*u(a).\nAnswer: a**2 + 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.10440537\nAnswer: 0.52202685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**4\/24 + p**2. Let n(h) = -3*h. Let t(o) = 2*o. Let x = -1 - 2. Let j(c) = x*t(c) - n(c). Calculate j(g(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(363)*2 - sqrt(363))**2.\nAnswer: -88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*d - 2*d. Let c = d - 5. Is 6 a factor of 1\/(-3)*2*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {m: 2, n: 1, p: 7, a: 2, r: 2, t: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 468.2381 days?\nAnswer: 40455771840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 50521459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -1\/6 (c) 7.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 44*m**2 + 2656*m + 91. Determine q(-34).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -6. Suppose 0 = 2*h + 2*h - t. Let p = 5\/3 - 4\/3. Which is the smallest value? (a) p (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 603460.1t?\nAnswer: 603460100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -638 - -634. What is the smallest value in x, 0.2, 17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77))\/sqrt(7)*-4)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - ((-6)\/2 + 3). Let f(w) be the third derivative of -w**4\/24 + w**3\/2 + 5*w**2. Calculate f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sussajd. Give prob of sequence us.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - k - 1. Let s(l) = -l**4 - 6*l**2 - 6*l - 13. Let i(r) = -6*n(r) + s(r). What is the derivative of i(z) wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 361978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(5)*-1) + sqrt(5)*2*2)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26261?\nAnswer: 26261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317 + 9*g + 317.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*r**2 - 2172*r + 2170*r + 134*r**4 - 103*r**2 to the form a*r**3 + b*r**4 + i*r + g*r**2 + o and give b.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 527373 times -839?\nAnswer: -442465947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43511.\nAnswer: 13, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 969.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19578595.\nAnswer: 5, 3915719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/17, 35, 0.2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/16*16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:59 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.123\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 4*r - 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*5099.\nAnswer: 25495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/1893? (a) -5 (b) 0.03 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3983129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2202, 4485, 6826, 9207, 11610, 14017, 16410, 18771?\nAnswer: 21082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**7\/2520 - s**4\/2 - 11*s. Let q(x) be the third derivative of d(x). Let w(l) = -8*l**2. What is w(q(b))?\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 1, a: 4, x: 4, b: 3}. What is prob of sequence xo?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 683 and 3?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1\/4, -7.8, -73\/2, 3, 0 in descending order.\nAnswer: 3, 0, -1\/5, -1\/4, -7.8, -73\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.151111341 to 1 decimal place.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (sqrt(114) - (sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114)*2)) - sqrt(114))) - sqrt(114))*-1)\/((sqrt(66)*-1)\/sqrt(11)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221250 and 285550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 29352*j**2 - 33902244*j + 10741464000.\nAnswer: -4*(j - 6000)*(j - 669)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 12 - 110. What is the greatest common factor of 2646 and g?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2049*p + 4. Let o(h) = 12285*h + 26. Calculate -2*o(x) + 13*s(x).\nAnswer: 2067*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**3 - 5*r**3 + 5*r**3)*(0*r + r + 0*r) + (-r - r**3 + r)*(-r - 4*r + 3*r).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 22. Let m = -0.77 + -11.43. Let f = -12.3 - m. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d + 7*d + 12*d)*(0*d - 3*d + 2*d) - 2*d**2 + 2*d**2 + d**2 - d**2 + 3*d**2 - 5*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/7 - 160*q**2\/7 + 88*q - 608\/7 = 0. Calculate q.\nAnswer: 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:11 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 407245 and 395?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4593\/9 + (-5)\/15. Let g = 320 - y. Let t = 1328\/7 + g. Is t less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:50 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020179 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 300.287494491?\nAnswer: 234.287494491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4 = 0, -125822*l = 5*z - 125826*l + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/54*3*28\/70?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 2:03 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 37. Let h be (-12)\/(-165)*u\/6. Let l = 136\/231 + h. Are -1\/2 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5170*x - 5168*x = -1779, -x - 5377 = -3*a. Is a a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = 0, 5*v - 30 = -3*l. Let f be l\/(-6) - (4 - 56\/12). What is the second smallest value in -3, 4, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -2201651?\nAnswer: -2201656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:22 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-35))\/((-1984)\/(-224)))\/(19\/(-95)).\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 375 and -238 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:08 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 18 = -n, 9*p - 4*p = n + 28. Let h be 3 + -1 - (-11 - (n - 8)). Solve 6*i**3 + 18*i**h + 18*i + 2\/3*i**4 + 0 = 0 for i.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/586564 and -67\/32.\nAnswer: 4692512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - (-777)\/333. Determine q, given that -4 - 8*q - 1\/4*q**4 - 6*q**2 - o*q**3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100\/7 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(63\/12)*(-3)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50392, 200339, 450260, 800161, 1250048, 1799927, 2449804?\nAnswer: 3199685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 9414 + 52254. What are the prime factors of r?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -3\/337616?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -877028 divided by -4?\nAnswer: 219257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 31. Suppose -9*c + l*c = -161982. Let p be c\/3 + 14\/21. Round p to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/600 - l**5\/50 - l**4\/10 - 2*l**3\/3 + 22*l**2. Let b(c) be the first derivative of o(c). Let b(j) = 0. What is j?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1413, -8, -0.2969?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 875 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 89*j**2 - 269*j**2 + 87*j**2 + 87*j**2. Let u(p) be the first derivative of 2*p**3\/3 + 1. Give u(n(b)).\nAnswer: 72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -323.7 + 0.058702\nAnswer: -323.641298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 621 and 6141?\nAnswer: 55269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80721090*d**3 - 43760731*d**2.\nAnswer: -484326540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*g - g - 12, g + 10 = -3*s. Suppose -6*t = -g*t. Solve t = -2*f - n + 5, 2*f - 6 = -f - 3*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*p - 8 + 2, -2*c + 13 = p. Suppose -p*z + 8 = -12. Let j = 212 - 195. What is the lowest common multiple of j and z?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 10. What is the units digit of (787 - 21)*(-2)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*i - 1412 - 1428, 584 = i + 3*w. List the prime factors of i.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/7381 and -37\/671?\nAnswer: 7381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + -9 + 2 + 0 - -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, 654, -2, 3, -5 in increasing order.\nAnswer: -5, -2, 2, 3, 13, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**4\/6 + 30*q - 1. Give g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**3 + h**2 + 9*h - 3. Let m(p) = p**3 + p**2 - 1. Suppose 0 = 4*z - 4. Let n(j) = z*v(j) + 4*m(j). Calculate n(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20231919 divided by 1.\nAnswer: -20231919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 + 10*c**2 + 4. Let w = 24 + -29. Let q(y) = -4*y**3 + 10*y**2 + 5. Let z(v) = w*m(v) + 4*q(v). Find the third derivative of z(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 728 - 315. Let b = 399.48 - z. Let x = 14 + b. What is x rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31703 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -4 - -6) + (-3 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(76))\/(-6*(2*sqrt(4) - sqrt(4)) + sqrt(4)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**6)**40*(t**(-2\/9))**(16\/9))**(-5) assuming t is positive.\nAnswer: t**(64960\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -528 - -523. Let i(h) = h**3 + 7*h**2 + 16*h + 46. Calculate the remainder when 28 is divided by i(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -2279806?\nAnswer: -4\/1139903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13524 or 13520?\nAnswer: 13520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3.9, -5?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2 - 2)*(-3 + 3 - 7)*(-3*c + 3*c + c).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428 and 680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575.216 months in millennia?\nAnswer: 0.131268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15\/14 + -19\/21. What is the third biggest value in 5, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w\/(((w**(-26\/5)\/w)\/w)\/w))\/w))**(2\/87)*(w\/((w*w*w*w**13\/w*w)\/w))**(-2\/77) assuming w is positive.\nAnswer: w**(1058\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -5, 2 in decreasing order.\nAnswer: 9, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {y: 1, v: 1, a: 2, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (3 + 1 - (-65 - -59))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 568 = -3*n - 3*o, 4*n + 3*o - 455 = 0. What is the remainder when n is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -96*v + 93*v + 0 + 4. What is g(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4315.279 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*-2)**2 + -4 + sqrt(42)\/sqrt(6))*-6.\nAnswer: -16776 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068915883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + v - 19 = -7, 5*v = -4*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -12333542?\nAnswer: -12333550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 276 - 13. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = 32*o - 34848. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**3 + 29*n**3 + 171491 - 171491.\nAnswer: 49*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k + 51. Let i be p(-6). Let n = -2.4 - -2. Put n, i, 1 in decreasing order.\nAnswer: i, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3267) - (sqrt(3267) + sqrt(3267) + 1)*4) + sqrt(3267)) - ((-3*sqrt(675) - sqrt(675)) + (2 + 2*sqrt(27))**2 + sqrt(27)).\nAnswer: -363*sqrt(3) - 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -60. What are the prime factors of 26911\/136 + o\/(-16)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*x + 2, 4*x - 5*y - 10 = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2. Let j(l) be the second derivative of -l**3\/6 + 2*l. Calculate f(j(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d = -10*d + 175 + 71 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156 + 26?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5447382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v. Suppose 0 = o - 4*j + 11, j - 50 = -5*o - v*j. List the prime factors of (-1)\/1 - (-1 - o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/4 equal to 51532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 2*a - 3. Let h(b) = -104*b**2 - 234*b + 351. Let o(g) = 2*h(g) + 234*i(g). Let z(j) = 23*j - 9. What is z(o(t))?\nAnswer: 598*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 583 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - s. Let i be (-19)\/(-7) - (-4)\/14. Suppose -2*t = -t - 2. Suppose x - 2*j = -5, -i*x = -j - t*j + 6. Calculate w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263.772 rounded to the nearest integer?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 18 - 18. Suppose q = 3*v, -5*z + 0*v + v = -623. Calculate the highest common factor of z and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g. Calculate the remainder when v(-6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46128 + 46149. Suppose -5*w + 3*u = 8*u - 35, -5*w - 3*u + 39 = 0. Solve -w = 3*o - d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2 - 3*u - 12. Let b(m) = -20*m**2 - 8*m - 35. Let a(p) = -6*b(p) + 17*h(p). Let f be a(7). Calculate the greatest common factor of f and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229360 and 84976?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176123.\nAnswer: 176123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 273 in -0.3, -2, -3470, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(3*sqrt(300)) + (sqrt(17) - (2 + sqrt(2057))) + sqrt(17) + -3 + sqrt(17) + 0 + sqrt(17).\nAnswer: -104*sqrt(17)\/15 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 29 + 39. Let o = h + 28. Solve 3*r = -2*j - 19, -j - 2*j - r = o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 - 49 = 0. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.64 - 2.67. Put 4, p, -5 in decreasing order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 15*b**2 - 13*b - 4. What is z(-14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 2 = -2*n, 5*r + 34 = 2*n. Suppose 5*y - 13 = -4*i, -4*i + 2*y - y + n = 0. Let h = -3.15 - -3.2. What is the biggest value in -2, 2\/7, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -432, -640, -848, -1056?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462067495?\nAnswer: 5, 937, 98627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2\/4 - 59566725*l\/4 + 59566719\/2 = 0 for l.\nAnswer: 2, 19855573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11859*a*p**4 + 3604*a*p**2 + 4428*a + 1719*p + 3 wrt p?\nAnswer: 142308*a*p**2 + 7208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*q + 139*q - 501*q - 5489 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.203 in -2, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*w + 2)*(-125*w**2 + 121*w**3 + 125*w**2) to g*w**4 + q*w**2 + x*w**3 + y*w + v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4687980 rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 1:54 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*i - 88, 0 = l - 3*l - 5*i - 20. Let j = -82 - -29. Let f = l - j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81536 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1093 + 1717. Suppose t + 3581 = 11*n. What are the prime factors of n?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -506, -1008, -1512, -2018, -2526, -3036?\n\"Answer: -h**2 - 499*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0, -854?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7703\/87 + 265\/3. Let i = l - -7\/174. Which is the nearest to 2? (a) 1\/4 (b) -2\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1305, 1283, 1247, 1197, 1133?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74306146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 4. Let r(x) = 2 - 22*x - q + 23*x. Let n(p) = 26*p. What is n(r(t))?\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -q - 4*q + 5, -3*q + 2*a - 1 = 0. Let o = q + 33. Let c = o + -13. What is the remainder when 90 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 11*u - 3*u. Suppose -24 = -u*o - 12. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2949564 weeks in hours?\nAnswer: 49.5526752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2718 - -2716.9. Let i(h) = -1 - 5 - h + 0*h. Let o be i(-6). What is the second biggest value in o, 0.5, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/((j*j*j*(j**(17\/3)\/j*j)\/j*j*j*j)\/j)*j))\/(j*j*j**(-13)\/j*j*j))**(-9\/5))**22 assuming j is positive.\nAnswer: j**(-3696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n. Suppose z - 4*w = -1 - 0, -4*w + 20 = n. Let d = -17 + z. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - (9 + (-4 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-48)*(-12)\/18\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 881*i**3\/6 + 821*i**2 - 1743*i. Differentiate m(f) with respect to f.\nAnswer: 881","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21951 is divided by 21711.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.113 - 165\nAnswer: -165.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((37\/(-74))\/((-4)\/(-6)))\/((-688)\/101824)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-12 - -17) - 16 - 22.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -0.2 (c) -2\/11 (d) 90 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*z - 141, -52*m + 48*m + 102 = 5*z. Let v(f) = 30*f - 3. Let i be v(2). Let q be i\/5 - 2\/5. Calculate the greatest common divisor of m and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757318, -1514663, -2271998, -3029323, -3786638, -4543943?\nAnswer: -5301238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v + 378 - 271 + 2783 + 971 = 0 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -4, 4, -3, -10.05, -6\/5 in decreasing order.\nAnswer: 4, -0.13, -6\/5, -3, -4, -10.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 9.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3003984 and 153180?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 815776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -822 = -5*b + 3688. Calculate the smallest common multiple of 10 and b.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 27. Calculate v(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -909 - -423. Let c = h - -530. Calculate the remainder when -249*((-3)\/(-9))\/(-1) is divided by c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let x(z) = -6*z**2 + 631355*z. Calculate t(x(i)).\nAnswer: -6*i**2 + 631355*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-6432)\/6175) - 6\/4. Let j = r + -7\/201. Calculate the common denominator of -7\/32 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - r + 5, 2*r - 7 = -4*w + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1169*x + 1171*x - 43758. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrru when four letters picked without replacement from rrrrxkkukukkukr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1521 and 0.27?\nAnswer: -410.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 368070 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/11)*t*t*t**(-1))\/(t**(-1))**(-2\/15))\/((t**(-1\/4)*t**2)\/((t*t**3)\/(t\/(t\/(t\/t**(-5)))))) assuming t is positive.\nAnswer: t**(-1843\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w\/((w**22\/w)\/w*w*w*w))\/w)\/w*w)\/(w**(-2\/49)\/w))**(-5\/11))**(12\/13) assuming w is positive.\nAnswer: w**(4740\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 4 + 4 + (31*a - 1 + 2 - 45*a)*(-4 + 0 + 6).\nAnswer: -26*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4393, -5218, -6041, -6862, -7681, -8498, -9313?\nAnswer: -10126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 6:32 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 34*p + 3. Let l be f(-17). Solve -s + 4*s = -l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50.407 or -2.06?\nAnswer: -50.407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.5 + -18. Let l = -3 - 2. Let i = l - s. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ddb07 (base 14) in base 3?\nAnswer: -11001021020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 8*f + 10. Is 5 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1008) + 1 + sqrt(1008) + sqrt(1008) + sqrt(1008) + (sqrt(1008) + 1 + -5)**2)*-1 + ((-2*sqrt(196))\/sqrt(7))\/(sqrt(20)\/(3*sqrt(5))).\nAnswer: -1025 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.7 and -1623?\nAnswer: 9251.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -424*m**2\/5 + 927*m\/5 - 158\/5 = 0?\nAnswer: 79\/424, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2359*q = 4497*q - 1476*q + 38396 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -525.\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 129, 540, 1407, 2904, 5205, 8484, 12915, 18672?\n\"Answer: 29*p**3 + 54*p**2 + 46*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 6*u + 420. Let t = 1768 - u. Let b = t + -1055. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {w: 2, x: 1, u: 1, a: 1, l: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -4 (c) -32 (d) -0.1 (e) -418\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/7)\/((-3)\/(-21)). Sort 0, z, 5 in descending order.\nAnswer: 5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 11:07 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 272826977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-16 - -34) + -8 - -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - 3*t)*(-2 + 5 - 2) + 0*t + 3*t - 4*t - 3*t + 0*t + 4*t + (0 + 2 + 0)*(-4*t + t + 5*t) + 5*t + 8*t + 0*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -158 + 14*w + 81 + 75 + w - w - 4*w - 2*w + 5 - 5 - 2*w + 2*w + 5*w + (2 - 5 + 4)*(3 - 3 - 2*w) + w - 5*w + 5*w in the form a*w + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 20, 23, 26, 29?\n\"Answer: 3*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k = -60*k + s - 10, -s + 67 = -23*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 23) + (18 - 1) + 1 + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 49. What is the lowest common multiple of (0 - 1)*(-158 + -48) and i?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 233 + -227. Solve -b*g = g + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/49 - (1 - (-12880)\/147). Let h = 269\/3 + n. Suppose 4 - 16\/3*z + h*z**2 = 0. What is z?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 42682452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-7) - 2) + 160\/(-6)*(-5931)\/(-1318)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 + 2\/(-1) - (-5)\/(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2. Let k(z) = 6*z - 9. Determine h(k(d)).\nAnswer: -36*d**2 + 108*d - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from fpjpfjjppp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Let d(v) = 7*v**2 - 7*v + 4. Let q be d(r). Suppose l = 5*l - q. Calculate the least common multiple of 18 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 16) to base 9.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 650089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 1575 in ascending order.\nAnswer: -3, -2, 1575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - -5481?\nAnswer: 5458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 9*y**2 + 10*y - 14. Let p be c(8). Suppose 0 = -4*j + 2*j. Suppose d = -j*d + p. Solve d*v - v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4 + 12. Let r = -3 - s. Let l = r - -6. Solve 5 = 2*z - 5*v - 7, -l*z + 9 = -2*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g**2 + 5*g - 146. Let t be f(10). Suppose -o = 81 + 590. Let h = o + t. What is the greatest common factor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6 - 8*j**2 + 3*j**3 + 2*j**3 - 6*j**3. Let q be l(-8). What is the common denominator of q\/(-9) + (-326)\/48 and -73\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 37\/25?\nAnswer: 37\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 984\/17?\nAnswer: 984\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24858\/5 + -4972. Put -6, y, 2 in increasing order.\nAnswer: -6, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11266, 12256, 13246?\nAnswer: 14236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x = -33*x + 534. List the prime factors of x.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/12*2*8*(-3)\/432?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8311, -33008, -74133, -131686, -205667, -296076, -402913?\nAnswer: -526178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 4, -0.4, 181 in descending order.\nAnswer: 181, 5, 4, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 5*u - 1\/20*u**5 + 0 - 3\/2*u**2 + 1\/4*u**4 + 1\/2*u**3. Let z(v) = -3*v**3 + 7*v**2 + 7*v - 7. Calculate 7*s(i) - 3*z(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-4)*-2)\/(((-2916)\/1836)\/27)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 192 = -2*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/3240*-3*6\/(-6). Is -1 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h**2 + 1585*h - 1924. What is o(-158)?\nAnswer: -2714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6839 + 40.5?\nAnswer: 6879.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1085721, 1085720, 1085719, 1085718, 1085717?\n\"Answer: -f + 1085722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30513 (base 8) in base 3?\nAnswer: -122022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 - 2772672*g**2 + 2882808075384*g + 172978466286240.\nAnswer: 2*(g - 2079534)**2*(g + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k. Let p(f) = -42*f. Give p(c(s)).\nAnswer: -252*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.721442 to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 + 4.15. Put -48, -7, b in ascending order.\nAnswer: -48, -7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*t = 21, 0 = -a + 4*t - 0 + 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2108 and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**6\/30 + 4*d**5\/3 + 50*d**4\/3 - 3*d**2\/2 + 32*d. Let s(z) be the first derivative of c(z). Find q, given that s(q) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*q = 4, 0 = x - 3*q + 37 - 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 807 divide 999873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 12934*g - 116244.\nAnswer: -2*(g - 6458)*(g - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596 divided by 1596?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-153)\/(-85))\/((-3964)\/(-660) - 6). Is 300 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5257 * 0.4\nAnswer: -2102.8","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Work out -6.2644 - -0.14.\nAnswer: -6.1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 8*h**2 + 10*h + 1. Let r(z) = -z**2 - 3*z + 9. Let n be r(0). Calculate i(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2318*n**3 + 10*n**2 - 5*n - 682. Let l(h) = 2315*h**3 - 12*h**2 + 6*h + 684. Let d(x) = 5*l(x) + 6*m(x). What is the first derivative of d(q) wrt q?\nAnswer: -6999*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -143 bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -o + 3, -o + 4 + 3 = 3*x. Calculate the least common multiple of 6 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + (75 - 38) - -23.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 6907*l**2\/2 + 5842. Let f(n) = n**2. Give f(s(z)).\nAnswer: 47706649*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -19*k. Let v(z) = -103*z - 60. Let b(q) = -1336*q - 800. Let t(g) = -3*b(g) + 40*v(g). What is j(t(n))?\nAnswer: 2128*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 307103 divided by -1\nAnswer: -307103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2011738 and 14650?\nAnswer: 50293450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4 + 18*c**3 - 14*c**2 - 114*c + 108 = 0 for c.\nAnswer: -9, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 28. Let t = b - 5. Suppose -a + 2 = -t*a, 88 = 4*h + 4*a. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 52. Suppose 4*l - 2811 + o = -p, 0 = -5*p - 3*l + 13925. Suppose 4*j + 4909 = 2*v - 665, -v = -4*j - p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -0.5, -11486, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 324224 (base 6) to base 11\nAnswer: 1920a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86903 and 365801?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 - 131474*q**3 + 26*q**2 + 12*q + 98926 wrt q?\nAnswer: -12*q**2 - 788844*q + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 - 8 = 0. Solve -3*c = -h*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 67*o. Let w be l(1). What is the tens digit of w\/3 + 3\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 247*l = -250*l - 62 - 44, l + 66 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0 - (12 + (3 - 9))) + (-6 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z + 65 = -68*z + 4*d, -4*z - 3*d + 75 = 0. What is the highest common factor of z and 655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.88, -50, 1\/3 in ascending order.\nAnswer: -50, 1\/3, 5.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16879923 to the nearest integer?\nAnswer: 4109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23899 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -53. Let t = -20.99999921 + z. What is t rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110642, -222027, -333402, -444761, -556098?\nAnswer: -667407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30685275?\nAnswer: 3, 5, 136379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-52)\/(-360))\/((-1 - 1) + 219\/117) and -149\/2700.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -227786, -455172, -682558, -909944, -1137330, -1364716?\n\"Answer: -227386*a - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498174.\nAnswer: 2, 3, 79, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/2 and 63\/119978.\nAnswer: 119978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(38)\/sqrt(2) + -3)**2.\nAnswer: -30*sqrt(19) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1576717748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421925521 to the power of 1\/3, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, 0.2594, 0.99, -0.3, 0.06?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 - 213*f - 5. Let s(m) = -6*m**3 + 319*m + 9. Let w(v) = -7*n(v) - 5*s(v). Differentiate w(q) with respect to q.\nAnswer: 6*q**2 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*f**2 + 62*f**2 + 70*f**2 - 101*f**2.\nAnswer: 122*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 28*t - 12*t - 2*g + 34 = 0, -7*t + 14*g = 16*g - 34 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 83\/20)\/((-11)\/(-44))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-1)\/(-1 - 0)). Let w = 21 - 17. What is the second biggest value in 3, a, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-336)\/8)\/7*-3*(-3)\/63.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 - 56*g**2 + 30*g**5 - 27*g**2 + 86*g**2 - 1)*(3 - 5 + 3).\nAnswer: 30*g**5 + g**4 + 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -1 - (-19 + 17 - (35 - 13))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 85\/(-136)*28*4700\/(-875)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 - 31\/(-3))*(-18 + 64386\/84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480 divided by 105738\nAnswer: 80\/17623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j + 7. Let t(x) be the first derivative of -x**2\/2 - x + 2. Let k(a) = -h(a) - 4*t(a). What is the derivative of k(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/60*l**5 + 0*l + 1\/6*l**3 + 2*l**2 + 1\/12*l**4 + 0. Factor t(r).\nAnswer: (r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 18. Suppose -3*z - z + 88 = 0. Suppose h = -s*h + z. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**4 + 5*u**4 - 6*u**4 + (2*u**3 + 4*u**4 - 2*u**3)*(18 + 2 + 8).\nAnswer: 105*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2.47, -142, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 123 = 291. Let z be (u\/(-9))\/((-35)\/(-30)). Solve -2*f - z = 4*j, 5*f + 2*j + 5 = 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55424137*s*x + 601487974*s wrt x.\nAnswer: -55424137*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5045, 5044, 5043, 5042, 5041, 5040?\n\"Answer: -q + 5046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -583 - 588 + 5014*f + 4544*f - 8337*f wrt f.\nAnswer: 1221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20319)\/(-15) - -6) + (-2)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10 = 6*l. Find the third derivative of 6*r**5 + 2*r**2 - r**2 - l*r**5 wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 814 divide 4062575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2050 - 2080. Which is smaller: -31 or p?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/6)*m)*m*m)\/(m*m**7*m*m*m*m)*(m\/m**(-4\/5))\/m*m*(((m\/(((m*m*(m\/m**0)\/m)\/m)\/m))\/m)\/m)\/m assuming m is positive.\nAnswer: m**(-311\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxs when three letters picked without replacement from awaxaapsax.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) 0.0399 (c) -1\/4 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, 0.044729, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 3*y + 1. Let z be d(-3). Suppose -3*r + 4*r - 5 = 0. Solve 0 = -r*q - 4 - z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-10))\/(((-3)\/(-8))\/((-6)\/((-132)\/(-55))))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16631 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076726990 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 900 + -846.7. Let o = -1.5 + p. Let v = o + -52. What is the biggest value in 5, v, -8\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3300210824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, 1008, -0.2, -0.07?\nAnswer: 1008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -8 - 2. Suppose 2*f - 10 = -3*f. Is f smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2236, 2, 77?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:31 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48.3 and 8446579.\nAnswer: 8446530.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l + 10*l)*(0*l + l - 2*l) + 1 - 37*l + 39*l - 171*l**2 + 60*l**2 + (l - 4*l + l)*(-1 - 2*l + 1).\nAnswer: -118*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -205066?\nAnswer: -205064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 12 = 3*w. Let n be (w + 3)\/(-5 + 2). Suppose 2*y + 5*g - 16 = n, y + 0*g = -2*g + 9. Calculate the greatest common divisor of y and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 17*c**2 + c - 1. Let d be h(1). Suppose 3*w + 10 = 2*w - 4*x, -3*x - d = -4*w. Suppose 272 = -w*s + 1614. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q**3 - 3*q. Let b(f) = 32*f**3 + 8*f. Calculate 3*b(r) + 8*g(r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6013927 is divided by 202?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 6:02 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0 + 5*f + 0 + f**2 + 3. Let v be -1 - -48 - 10 - 40. Give r(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6 + t - 4*t + 4*t - 1. Let c be w(-6). Is 17 a factor of c\/(1\/(-21)) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7533059 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/59)\/k**(-29) assuming k is positive.\nAnswer: k**(1713\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + -54 + -4 + 40 + (-1 + -5 - -1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -42. Let f(a) = a**2 - 12*a - 15. Calculate the remainder when f(b) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**4 + 141*j**3 - 3092*j**2 - 82984*j - 16 wrt j?\nAnswer: -36*j**2 + 846*j - 6184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d**2 + 5*d - 12. Let n be i(12). Let c = 110 - n. Let j be c\/10 + 4\/10. What is j rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(sqrt(1539) - (5*sqrt(1539) + 5)))**2.\nAnswer: 5760*sqrt(19) + 394384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -2*q**2 + 7\/480*q**6 - 96*q - 1\/840*q**7 + 0 + 0*q**4 - 1\/20*q**5 + 0*q**3. Factor g(o).\nAnswer: -o**2*(o - 4)*(o - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 560042202 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1328837516.99999942 + -1328837445. Let d = k - 72. What is d rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/14 + (-3)\/7. Suppose 33*h = 11*h - 110. Let j = 1.94 + 0.06. Which is the nearest to o? (a) j (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1, -76, 3.219?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77\/3 or -9368\/5?\nAnswer: -9368\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k - 5355 = -p, 0 = 4*p - k - 21525. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 23*w - 4. Let c(r) = -22*r + 3. Calculate -5*c(d) - 4*u(d).\nAnswer: 18*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -112575 divided by -56?\nAnswer: 112575\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/47, -11, -0.5, -1 in increasing order.\nAnswer: -11, -1, -0.5, 1\/47, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 969 + -968.7. Which is the nearest to 1\/2? (a) w (b) -5\/2 (c) 3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18906769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by 19\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -30504146?\nAnswer: -30504153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1556039744 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3 - 7. Let v be 5 - (-2 + y - -2). Suppose v*w - 65 = 28. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25135752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 + -23310000?\nAnswer: -23310123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165545, 165546, 165547, 165548, 165549, 165550?\nAnswer: 165551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/9 + 2\/(-3). Let i be (-1)\/(-4)*0 - -3. Suppose o + 2*o + h = 10, i*h + 20 = o. Sort 0, o, d in increasing order.\nAnswer: 0, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.015 - 0.115. What is the closest to d in 15, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604 divided by -2458.\nAnswer: -302\/1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 2*o**2 + 5*o + 1814. What are the prime factors of m(0)?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25822\/45 - 5168\/9. Let n = 11\/30 + -61\/330. What is the closest to 0 in n, -0.17, p?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5181288?\nAnswer: 2, 3, 7, 30841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 2.1. Let r = 130 + -131. Which is the closest to n? (a) -4\/3 (b) r (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5 - 42*q**4 - 177*q**3 + 372*q**2 + 660*q - 816 = 0.\nAnswer: -4, -2, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.4 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, l: 4, a: 2, x: 3, k: 2}. Give prob of picking 2 a and 1 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 448 in -1\/5, 4\/15, -4, 5, -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5906355 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5349*t - 15862*t + 5290*t + 5298*t. Let q(b) = -118*b. Calculate i(q(n)).\nAnswer: -8850*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0 + (1 - 4 + 1)*(-2 + 1 + 0))*(-8*v + 11*v + 11*v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let z(r) = -74*r**2 - 101*r**2 + 148*r**2. Calculate z(n(d)).\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00217386 to five dps.\nAnswer: 0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -121, -219, -341, -487, -657, -851?\n\"Answer: -12*n**2 - 38*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -7*n**4\/24 - 10*n**3\/3 - 8*n**2. Is x(-8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/23 (b) 5 (c) -1\/4 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*g + 2. Let a = 25 - 25. Solve -2*m + a = -g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2452*a**2 + 132*a**3 - 69*a**3 + 41*a**3 - 2452*a**2.\nAnswer: 104*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y + 3*y**2)*(-6*y**2 + 6*y**2 + 6*y**2) - 2*y**4 + 4*y**4 - y**4 + (-2*y - 2*y + 2*y)*(2*y - 2*y + 2*y**3) + y**4 + 6*y**4 + 0*y**4.\nAnswer: 22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00839905871 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 22 = -14. Let i(z) = -z**3 - 2*z**2 - 6*z + 4. Let k be i(b). Calculate the highest common divisor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 greater than 544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(-1 + 0 + 3)*(51*s + 42 - 42).\nAnswer: -102*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 207\/(-12)*(-568)\/426.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111 - 0?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1\/36, 0.3, 1.5, 0.5, 3 in decreasing order.\nAnswer: 3, 1.5, 0.5, 0.3, -1\/36, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1522 - -72?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 51543400 to the nearest 100000.\nAnswer: 51500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raqwwaqqgggrcrrqw. What is prob of picking 1 a and 1 r?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110549282*p**2*v**2 - 2*p*v**2 - 2*p*v + 45940288*v**2 wrt p.\nAnswer: -221098564*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 770 + 546 = 13*v for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -272 - -271.999999598. What is q rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i**3 + i**2 - 1\/24*i**4 + 0*i + 0. Let w(r) be the first derivative of 2*r**2 - 3. What is w(n(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(11\/4)\/i*i**(-2\/93)*i*(i*i**32)\/((i*i\/i**(-25\/4))\/i*i*i) assuming i is positive.\nAnswer: i**(4925\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 18*t**2 - t + 19. Let c be y(18). Let w(j) = -8*j**2 + 1. Calculate w(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 7.7. Suppose -6*k = -3*k. Let i be 0\/((-1 - k) + -1). Which is the biggest value? (a) y (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 298. Calculate the remainder when 943 is divided by m(-135).\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 + -4 + 1658. Suppose 0 = -4*u - u + m. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 198*p**2 - 1070*p - 20254. Determine w(-193).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -391*0.2\nAnswer: -78.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r**(-23))\/r*r))\/(r\/(r\/r**23*r)))**(1\/35) assuming r is positive.\nAnswer: r**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -96d7 (base 16) to base 13\nAnswer: -14765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000109988995 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, -720, -1025, -1452?\nAnswer: -2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -194, 1, 10721 in ascending order.\nAnswer: -194, -12, -2, 1, 10721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5016 + 3?\nAnswer: 5019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)*s)\/s*s**(1\/6)*(s\/((s**0*s)\/s))**(-8\/11) assuming s is positive.\nAnswer: s**(-13\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 0 + 7*h**3 - 4 - 8*h**3 + 3 - h**2 + 8*h**4 to the form x*h**3 + d + s*h + n*h**2 + p*h**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55.69 - 1.31. Let n = 56.96 + f. Which is greater: n or -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3 + sqrt(63) + -5)*-4 + (sqrt(77)*2*-4)\/(sqrt(11) - ((sqrt(11) + (sqrt(11) - sqrt(11)*1) + sqrt(11) + sqrt(11))*3 - sqrt(11))) + -5)**2.\nAnswer: -1672*sqrt(7)\/7 + 6623\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -314*q**2 + 27006*q - 206. Determine c(86).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.015\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-675)*((-1035)\/(-54))\/(-23).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 2*n + n)*(n - 63 + 73 - 5*n)*(-1 + 0 - 2) in the form z*n**2 + o + b*n and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-35)*42\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 - 7*u - 3 + 4 + 2.\nAnswer: -7*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1758791 is divided by 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, f: 4, h: 1, o: 6, z: 4, g: 2}. What is prob of picking 1 h and 1 z?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*a + 16*a + 23*a + 21*a + 23*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 3. What is the units digit of a(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1780 is divided by 444.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y - 1809 = 4900 - 1525 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 1.2221\nAnswer: -7.3326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*c + 541 + 575 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 4*t. Let g be m(3). Let f(l) be the third derivative of -l**6\/120 + l**5\/60 - l**4\/24 - l**3\/2 - 4*l**2. Does 12 divide f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23030?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2))**29\/(l**24\/((l*l*l*l**(2\/49)*l*l)\/l)) assuming l is positive.\nAnswer: l**(-3377\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**3 + 32*w**2 - 78*w - 55. Calculate t(10).\nAnswer: -1635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 688934*q + 26871466. Determine t(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-2) + 7 + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -4)\/((-4)\/6 + 5\/6). Solve 2*k + w - 7 = -n, 4*k = -4*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46267.\nAnswer: 13, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -23708.773 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*g + 33, g - c - 14 = -0*c. Let i be 76\/18 + (-2)\/g. Suppose 5*x = 2*f - f - 3, -5*x - 5*f + 15 = 0. Solve -i*a - 20 = -x*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-3)\/((-18)\/20)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/9 + 104*j\/9 + 1280\/9 = 0.\nAnswer: -32, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/27 and -67\/132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/(-28)*92\/69\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 48619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**12*s))\/((((s*s**(1\/10)*s*s)\/s)\/s)\/s)*(s**(1\/3))**(-2\/39) assuming s is positive.\nAnswer: s**(12733\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2506 + 2564. Solve -z = 31*h + 128 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 924, 1834, 2744, 3654?\nAnswer: 4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.74 * 5.\nAnswer: -193.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -7*y - 1\/2*y**2 + 34. What is u(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c91 (base 14) in base 13?\nAnswer: 74b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 - 232d732?\nAnswer: -232d71b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*i + 32 = 2*h, -6*h - 90 = 3*i - 198 + 48 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495*x = 489*x + 12690. What is the greatest common factor of 135 and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028243 to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 times -26.2?\nAnswer: 0.7074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127829 is divided by 2905.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 9, a: 9}. Give prob of picking 1 a, 1 k, and 1 h.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2820977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.9311 + 0.0011. Let s = q + 12. Let v = 2.07 - s. Is v at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877\/(-137) + 99 + (-7 - 1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -235 or -286?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:15 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -24 + 23 - (2 - 9). Let r = -4 + c. Solve -1 = 5*a - 2*f, -3*a + 7*a - f = -r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 4*l**3\/3 + l**2\/2 + l + 10. Calculate c(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 482 + -480. Solve 0 = 6*y - 8 + v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 - 49*n + 1. Let r be h(-4). Suppose -16*g = -18*g - r*g. Let p = -29 + 86\/3. What is the closest to -1 in -2\/19, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o - 2*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q - 30*q**2 - 612 + 243 + 373 in the form m*q + i*q**2 + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 4, -195?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -847\/190 - -25\/38. Let n = u - -143\/35. Which is the closest to n? (a) -2\/9 (b) -8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112359 is divided by 7833.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 + 2*m. Let o be l(4). Suppose -o*r = -7*r - 52. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, and 2 f when four letters picked without replacement from sfyffsfdffygfffsffff.\nAnswer: 52\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 147, 327, 577, 897, 1287, 1747?\nAnswer: 2277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274373624.\nAnswer: 2, 7, 23, 213023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**32)**40 assuming m is positive.\nAnswer: m**1360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 13. Suppose 5*g - 2*g + 72 = p, 3*g = -5*p + 306. What is the highest common factor of p and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/12 + o**3 - 3*o**2 - o. Let j(x) be the first derivative of b(x). Calculate j(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 20. Let q be u(14). Suppose -q*t + 466 = 2*s - 5*t, -3*t - 1143 = -5*s. What is the greatest common factor of 33 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8360 = 7*m - 6*m. Suppose -4*r = -i + 40 - m, 2*i + 16585 = -3*r. Round i to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/244852?\nAnswer: 1\/244852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 + -63. Calculate the lowest common multiple of b and 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2740578853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*l**2 - 38*l**2 + 25*l**2 + (l + 2*l - l)*(-l + 0*l - l) + 2*l**2 - l**2 + 0*l**2.\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b - 5. Let s be a(-5). Suppose -2*y - 15 + s = 0. Calculate the greatest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 226561265 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 20. Round z to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(4 - 3 - 11)*(3*b**3 - 4*b**3 + 0*b**3 + (-2*b + 2*b + 2*b**2)*(-4 + 4 - b) + 0*b**3 - 5*b**3 + 4*b**3).\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5. Let w(m) = -m + 7. Let t(s) = 5*f(s) + 5*w(s). Let x(j) = 9*j - 19. Let b(d) = 5*t(d) + 3*x(d). What is b(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264009075 to the power of 1\/2, to the nearest integer?\nAnswer: 47582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107133 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -64. Let l = h + -49. What is the hundreds digit of 16\/(-8)*(-234)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381844957 to the power of 1\/3, to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*n + 92600000, -2*x - 21061271 - 25238729 = 3*n. What is x rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 1410*g + 75492.\nAnswer: 2*(g + 54)*(g + 6291)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -4, 17, 54, 113, 200, 321, 482?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - r + 16, -5*r = -1895*k + 1881*k - 91 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 2*f + 1. Let p be o(-1). Let c be 5*(3 + -1 + -1). Suppose -c*n + 3*n + b = 1, -n = b - 7. Solve p = n*g - 4 - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 5\/6 (c) 5\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-6)\/b))\/b**(-2\/5))\/((b*b**(9\/5)*b)\/(b\/(b**(-2\/11)\/b))))**(3\/11) assuming b is positive.\nAnswer: b**(1119\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -14102\nAnswer: 141020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 0.9?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17022, -135856, -458392, -1086480, -2121970, -3666712?\n\"Answer: -16975*v**3 - v**2 - 6*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5310 + 5310 + 16*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 8*o - 9. What is s(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*z + 86*z + 224 = 0. What is the remainder when 4 + 4 + 24*(-3 + 4) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 3*y**2 - 6*y**2)*(0*y - 2*y + y) + 0*y**3 - 4*y**3 + 6*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*z + z. Let t = z - -11. Let y(d) = 5*d**t - 2*d**2 - 5*d**2. Let s(h) = 13*h. Calculate s(y(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -37583, 0.2, -10.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3142560 and 13920.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -5. Let o = w - -3. Let p(t) = -13*t - 4. Is p(o) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43234619\/8 less than 5404328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 + 5*w**3 + 3*w**3 + 33*w - 38*w - w**3 - 2 as l + q*w**2 + f*w + b*w**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3*(-6)\/(-90)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (390 + 89 + 170)*(4*p - 3*p - 3*p + (-2*p - 2*p + 3*p)*(3 - 4 - 1) + p + 0*p + p + (2 + 0 - 3)*(-4 + 4 - 2*p) - 2*p + 4*p - 3*p).\nAnswer: 1947*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6.08014001?\nAnswer: 2.08014001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a - 3*a + 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.5, -3.3, 132, 18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*o + 48, o - 36 = -3*j - 3*o. Let c = j + -3. Let u = 3569 + -3529. Calculate the smallest common multiple of c and u.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7798*d + 1 - 3331*d + 531*d + 121*d - 7041*d.\nAnswer: -17518*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8249 + 8244 = -2*g + 5*w - 2*w, 4*g - 6 = -0*w + 2*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, e: 11}. What is prob of picking 1 s and 2 e?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(x - 4*x + x + (-x - 2*x + 5*x)*(-1 + 3 + 0) - x + 2*x - 2*x + 2 - 2 + 2*x + x - x + x + 0 + 0 - 2*x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/((-3)\/50))\/(1\/43200). Round a to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 510 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145*18.\nAnswer: -2610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {l: 2, h: 3, q: 3, d: 1, r: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1702a47 (base 14) to base 2\nAnswer: -101011000111001110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 317 + -1c0c76?\nAnswer: -1c095c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 + 71 + (0 - 1) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + r**2 - 2*r**3 + 7*r**3 + (0*r**2 + r**2 - 3*r**2)*(0 + 0 + r) + 291*r**3 - 200*r**3 + 1247*r**3 + (2*r**3 - 4*r + 4*r)*(4 - 1 - 4).\nAnswer: 1335*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:03 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8645678 is divided by 8645646.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/6 + 9*n**2\/2 - 2*n. Let w(u) = -1 + 2 + u - 2 + 9. Determine 6*r(a) - 7*w(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 22901*l + 1561928. What is z(-68)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prla when four letters picked without replacement from palzrczcz.\nAnswer: 1\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 5*c + 33. Determine k(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r - 4 = 0. What are the prime factors of (21\/(-3) - r)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122809097.\nAnswer: 122809097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 15*f + 14 = 0. What is the smallest common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:22 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0632 times -6041?\nAnswer: 381.7912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3971 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 68239 - 17599. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3406584ml?\nAnswer: 0.0003406584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3311 is divided by 1353?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 19*a - 408. Let j be s(22). Sort j, -1.3, -0.4 in decreasing order.\nAnswer: j, -0.4, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33730781\/1832 + -18412. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001111101000000010101010 - 110?\nAnswer: -11001111101000000010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*x - 4*w, 18*w - 13*w + 5 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 340441341?\nAnswer: -340441323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5558 (base 15) to base 12\nAnswer: a56b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/345119? (a) -2\/3 (b) 2\/11 (c) -1 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-133)*(15\/(-40))\/(6\/14)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 55?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5202 + 5204. Solve 2*b + 12 = -s*a, -36 = 3*b + 5*a - 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w + 46*w - 26 = 0. Solve -3*l - w = 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 53. Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-7 + 58\/(-4)). Let n = y + 161. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(sqrt(19) - (-1 + sqrt(1900))) - (sqrt(209)*2*-1)\/sqrt(11))**2.\nAnswer: -272*sqrt(19) + 21981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/15 of a hour?\nAnswer: 6720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742753 is divided by 2524?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 9:15 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -14*n - 7. Let r(l) = -13*l - 6. What is 5*a(u) - 6*r(u)?\nAnswer: 8*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 170, 196, 232, 278, 334, 400?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794653247 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f**3 + 2*f**2 + 2*f + 1. Let h be 2\/6 - (4 + (-40)\/15). Give r(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9 - (-5)\/(-3). Sort h, -3, -5, 2 in decreasing order.\nAnswer: 2, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2888406.586 to the nearest one hundred.\nAnswer: 2888400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 2*j + 2*u + 43, 0 = -u + 1. What is the highest common factor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2. Let m(t) = t + 3. Let f(i) = a(i) - 2*m(i). Let z be 2\/(0 + 5\/(-4) - -1). Calculate f(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxxxxxxxxxfxxf. What is prob of sequence xfxx?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -470, -902, -1392, -1874?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -34381572.\nAnswer: 1\/11460524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f - 31. Let h(g) = -g + 1. Let r = -11 - -8. What is r*h(q) + 4*m(q)?\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 + 2293571*t\/3 + 5260467932041\/6.\nAnswer: (t + 2293571)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -211, -209, -207, -205, -203?\n\"Answer: 2*o - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1764 and 7340396?\nAnswer: 66063564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3474 and 126?\nAnswer: 24318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from xkxxtfpfbtff.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 1834.\nAnswer: -1834.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by -2 + (-1 - 2 - -22).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*w + 139*w**2 + 68*w + 25*w**2 + 99*w**2 to z*w + y + t*w**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -2 - (-4 + (-2 - 2) + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37091.\nAnswer: 29, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9083898 is divided by 568?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2394*h**2 + 2. Let j be r(-1). Suppose 0 = -2*t - 2*t + j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*y - 124211, -272*r + 82796 = -270*r + 3*y. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 378551111?\nAnswer: -378551109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - (0\/4 - 4). Is (-2 - s - -492)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 greater than 4.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 18. Let p(j) = -j**2 - 8*j - 5. Let d be p(k). Suppose d + 1 = 4*f. Solve -f*l - 1 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0181 - 2.2181. Is -10 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88709810 to the nearest one hundred thousand.\nAnswer: 88700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 - 233387?\nAnswer: -233354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 215, 7, -5, -3, 3, 2 in ascending order.\nAnswer: -5, -3, 0, 2, 3, 7, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 + 1 - ((99 - 76) + -37)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g + 6. What is the least common multiple of 12 and v(-7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 563212 = 269199 - 682067. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 3. Suppose 0 = -r + 3 - t. Let p = -14 - r. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -222321.298 to the nearest 1000.\nAnswer: -222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((((b*b*(b*b\/(b\/(b**(-1)\/b*b)))\/b)\/b)\/b)\/b*b)\/b)*b)**(-9\/4)\/(b**(2\/33)\/(b**0\/b)) assuming b is positive.\nAnswer: b**(-332\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -21*c + 5 + 16 + 3 - c**2. What are the prime factors of d(-14)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 - 222541356.4?\nAnswer: -222541280.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-162)\/2 - (-3)\/((-15)\/(-20)). Let t = 65 + q. What is the least common multiple of 16 and -3 + (-58)\/t - (-1)\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1353954*y + 1353953*y + 7*v = 96, 48 = -4*y + 4*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (5 + (0 - 3) - 8) - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 4*k**2 - 7*k - 4. Let p be h(-4). Suppose -2 + 131 = 5*o - 4*n, n = -o + p. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 6*o + 4*o + z, 0 = 3*z - 9. Put 2, o, -8, 12 in descending order.\nAnswer: 12, 2, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**2 + 93*p**2 - 52*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s + 2. What is the least common multiple of 22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14099\/29412 + -64\/387. What is the common denominator of w and 23\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssss. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -6024?\nAnswer: -6030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2. Let j(b) = -32*b**2 - 33*b**2 - 106*b**2 - 87*b**2 + 64*b**2. Calculate j(s(y)).\nAnswer: -194*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 290 = -530. Calculate the remainder when i is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 41*j + 13. Let h(a) = 5*a - 14. Give 5*h(r) + 5*o(r).\nAnswer: 230*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*o - 198*s + 199*s, -o = 3*s - 18. Which is the nearest to 1? (a) -1 (b) -0.3 (c) o (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7994 is divided by 820?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31590058267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.069, -9, 4\/3 in ascending order.\nAnswer: -9, 0.069, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, y: 3, r: 1, c: 2, l: 1, m: 8}. What is prob of sequence ylh?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, e: 7}. Give prob of picking 3 e.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -142 and 33.64.\nAnswer: -4776.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (113\/1695)\/((-2)\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-32))\/(126\/(-756)). Which is the nearest to -2.3? (a) 0 (b) 2 (c) 4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -9?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/5 (b) -12 (c) -0.4 (d) 1\/502 (e) 0.3 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2300 - -1575. Let v = -6307454 - -6306728.9659. Let a = v - q. What is a rounded to 3 decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1631 and 5825?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.06 and 2306 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*w**6 - 37*w**3 - w**2 - 266*w.\nAnswer: -2640*w**3 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-826*80\/(-56))\/20.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1426, 2 in increasing order.\nAnswer: -1426, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 3*n - 6*n, 2*n - 8 = 0. Let x(v) = 5*v - 53. Let o be x(11). Let s(i) = -2*i**o - 2*i**3 - 3*i**3 - 3 - 3*i + 0 + w*i**3. Calculate s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/22422 and 35\/130388.\nAnswer: 39507564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2499 = 195104*c - 195053*c for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877560842 to the nearest integer?\nAnswer: 29624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13415, 26814, 40213, 53612, 67011?\n\"Answer: 13399*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - x**2 + 0*x**2 + (-x**2 + 0 + 0)*(4 + 0 - 3) + 4*x**2 + 3*x**2 - 5*x**2 - 3*x**2 + 2*x**2 - x**2 + (-2 - x + 2)*(4 - 4 + 6*x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 3:50 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 2*i + 5*i + (-2*i + 9*i + 8*i)*(-5 + 3 + 3).\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 387717 and 4511616?\nAnswer: 49627776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -1\/120*c**6 + 0*c + 1\/24*c**4 + 0 - 1\/2*c**3 + 2\/15*c**5 - 36*c**2. Determine z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1487\/147179, -3, 4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 6:44 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13a1 + -516?\nAnswer: d8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 23*q**5\/30 + 121*q**3\/3 + 184. Let b(m) be the third derivative of j(m). Let h(d) = -2*d**2. Determine b(h(a)).\nAnswer: -184*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43993.19s to milliseconds.\nAnswer: 43993190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008291077 to six dps.\nAnswer: 0.000829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (68 - -4)\/((-1)\/5). Let q be g\/(-26) + 2\/13. Let l be (-100)\/(-7) + (-4)\/q. Calculate the greatest common factor of 112 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Suppose -g + a = -1. Let c be 15\/(-25) + (-2)\/(-10). What is the biggest value in 1\/6, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, 1, -37 in decreasing order.\nAnswer: 3, 1, -19, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -1\/2 (c) -616.695 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2812 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -11 - (-15 + 11) - -3066.\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9005.\nAnswer: 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98.2323 and 3?\nAnswer: 294.6969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727*j - 3562 - 8918 = 103*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -462 - 35171.\nAnswer: -35633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58890 and 5150912?\nAnswer: 3926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b + 7*b**2 + 5*b**2 - 11*b**2 - 4*b - 2. Let j be y(4). Let t = j + 16. Put -1, -7, t in descending order.\nAnswer: -1, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaarraaraaaaaaraa?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*s - 143*s - 151*s + 44*s - 131*s to the form j*s + d and give j.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11472*g - 11475*g + 39 - 3 = -3*x, 0*x + 3*g - 50 = 4*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3992 (base 11) to base 2.\nAnswer: -1010000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = -14309*f + 14314*f. Calculate the smallest common multiple of 1274 and f.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 840 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47295 + 234612\/5. Let d = 373 + k. What is the nearest to -1 in 1\/2, -34, d, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 42. Let v be (-792)\/(-57) + 8\/76. Let m = p - v. Solve -3*s + m*s + 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-16 - (-1148)\/98 - (-4)\/14). Let d(h) = 1 - 2*h**3 - 3*h - 2*h**2 + 0*h**2 + 3*h**2. What is d(t)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 71404 - 71404.00032707. Round z to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (47 + -72 - (-96 - 1))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 9*y - 4*y - 7*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0605 (b) 107 (c) -1\/4 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1735, 1723, 1701, 1663, 1603, 1515, 1393, 1231?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.06 - 3.46. Let s = -19 - -34. Let v = s + -15.1. Which is the closest to v? (a) 1\/3 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -48*u**2. Let c(o) = -6*o**2. Calculate c(h(g)).\nAnswer: -13824*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2799.4l?\nAnswer: 2799400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (0 - 2 - 438). Suppose 4*c - u = 3072. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 4*p**2 - p - 1. Let f(x) = 2*x**3 + 8*x**2 - 2*x - 1. Let d(m) = -m**2 - 5*m + 1. Let l be d(-6). Let i(c) = l*o(c) + 2*f(c). Calculate i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1940.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*s - 164*k + 163*k, 5*k = 10*s + 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38\/(((-36)\/63)\/((-6)\/7)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 4*f**2 + f + 4. Let y be n(-4). Let g = 10 - 10. Factor 2\/3*w**2 + g + y*w + 2\/3*w**4 - 4\/3*w**3.\nAnswer: 2*w**2*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, -9, -227285?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/19 + 7038*f**2\/19 - 739314*f\/19 - 2281230\/19 = 0?\nAnswer: -3621, -3, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = -6. Suppose 12 = 12*a - k*a. Let r = 11 + -9. Solve -4*g = 4*c + 12, -a*c - 3*g - 12 = -r*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2958.84455 to 0 decimal places.\nAnswer: -2959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, y: 3, c: 3}. Give prob of sequence yl.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*v + 514 = 0, 3*r = 8*v - 4*v + 1466. Let u = r - 1475\/3. What is j in 1 - u*j + 5\/3*j**2 - 1\/3*j**3 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*c + 5*c - 238. Solve -12*m - c = 17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-14 - -15)) + (59 + -66 - (1 + 60))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 14358*v - 21. Let x(s) = -s**2 - 7179*s - 9. What is 3*l(d) - 7*x(d)?\nAnswer: d**2 + 7179*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/8 + 2)\/((-1)\/(-2)). Is (1 - f)\/(((-24)\/1492)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1525 and 1475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 190 + 5. Let g = k + 384. Suppose g = -9*n + 14*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256343147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243708042, -243708026, -243707994, -243707940, -243707858, -243707742?\nAnswer: -243707586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8938 - 80438\/9. Let b = 0.5 + -1. What is the third smallest value in b, -0.1, -2, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 + 25*n**2 - 14*n + 10. Let s = -25513\/2090 + 3\/418. Calculate the common denominator of s and h(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(14\/3 + -4). Suppose 0 = a + y*a - 636. Let s = 232 - a. What are the prime factors of s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**2 - 2*h - 1. Let k(l) = 2*l**2 + 104*l - 217. Let q be k(-54). Calculate z(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 8:25 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(75) + (sqrt(75) - -2*sqrt(75))*4)*3 + (2 + 2*sqrt(75) + -5)*1.\nAnswer: -3 + 400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2844, 2836, 2828, 2820?\n\"Answer: -8*a + 2852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c, 5*n + 3*c - 6 = 7*c. Let v(o) = o + 9. Let b be v(-6). Calculate the highest common factor of n and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*j**2 - 118*j**2 - 8*j - 5*j as y + l*j**2 + b*j and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvjjjjjjjjjvjjjjjjjj?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -637702089*c**2 - 706482031*c.\nAnswer: -1275404178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-30)*(-4780)\/1912. Let -t*s + 0 - 2\/3*s**2 = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**3\/5 - 579*q**2\/10 + 1630. Suppose n(d) = 0. Calculate d.\nAnswer: -193, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (-96)\/16 - -11. Factor 1\/4*i + 0 + 0*i**4 + d*i**2 + 1\/4*i**5 - 1\/2*i**3.\nAnswer: i*(i - 1)**2*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22761 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93404 is divided by 386.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-12))\/(v\/v**(-2\/11))*(v\/(v**8\/v))\/(v**(-3\/4)\/v))**(-47) assuming v is positive.\nAnswer: v**(-17719\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2750 = 4*t, t + 4*v + 385 = 1097. Calculate the least common multiple of t and 42.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 332006099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12, 0, 3126?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s**2 - 277*s + 10807. Calculate i(21).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -323848 + 4?\nAnswer: -323844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -67.972. Let f = 0.0279876 + n. What is f rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 4 (c) 5 (d) 11\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 49*c**2 - 157*c - 57. Give w(-52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t - 3*t + t)*(21 + 12 - 12) + (-16*t - 28*t + 31*t)*(-3 + 3 + 2) to a*t + f and give a.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34541 divided by 1?\nAnswer: 34541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 1560840.\nAnswer: 4682520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - z + 1)*(-5*z - 19*z**2 + 10*z**2 + 7*z**2) to the form c*z**2 + d + u*z + f*z**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -0.1 (b) -0.3 (c) 13 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 14*s**3 + 67*s**2 - 338*s - 6. Determine j(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 10*v - 20. Let l(k) = -k. Let d be l(6). Calculate the lowest common multiple of v and (d\/2)\/(6\/(-40)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 740 + 3?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, p: 8, y: 3}. Give prob of sequence kp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43253 + -43381. What is the closest to -2 in p, -3, 0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 3*r - 11. Let g be o(-8). Suppose -8 = j + 4*b - 28, 4*j = b + g. Let m = j - 0. Calculate the least common multiple of m and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.39 or -1\/13715?\nAnswer: 1.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**5\/12 - u**3\/6 + 4*u**2. Suppose -2*k - 28 = -6*k. Calculate the remainder when p(2) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, o: 12}. What is prob of sequence oooi?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-912)\/(-52)*(-1)\/27. Let n = 2\/117 - r. Let y = 24 + -24. Which is bigger: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6029 plus 30?\nAnswer: -5999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 437765, 439201, 440637, 442073, 443509, 444945?\n\"Answer: 1436*g + 436329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2*b**2 + 4*b)*(-8*b**2 - 110*b + 108*b - 22*b**2).\nAnswer: 60*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990786 is divided by 198157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2 = -4*j, -420*q - j - 12 = 413*q - 1251*q + 413*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + sqrt(44)\/sqrt(4) - sqrt(11)) + (5 + (2*sqrt(11))**2 - (-5*(sqrt(11) + 1))**2).\nAnswer: -254 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 0)\/((-4)\/10). Let a(o) = -37*o + 4. Let z be a(-1). Let t be (-2)\/1 - (24 - z). What is the greatest common factor of y and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 76*n**3 - 75*n**3 - 11*n**2 - 5*n**2 + 45 - n + 14*n**2. Determine t(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1361 = -233. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + 2*i - 25*i**4 - 22*i**2 + 0 + 24*i**4 + 1 to the form o*i**4 + t + r*i**3 + m*i**2 + j*i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + -3*(-2*sqrt(132) + sqrt(132)) - sqrt(132) - sqrt(132))\/sqrt(400))\/(6*-3*sqrt(99)*-2).\nAnswer: sqrt(3)\/540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/(-93)*-5*(-33)\/10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-8) - 1\/(-2). Suppose 3*p = 4*p - o. Suppose 6*k = k + 40. Calculate the remainder when k is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29471657*w + 43764063 wrt w?\nAnswer: -29471657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 266929 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/18 and (1\/(-3))\/((-352)\/3984).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 268 - 2*y - 10*y**3 + 192.\nAnswer: -10*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/81*(-60)\/34. Let v = b + -1\/17. Factor -1\/6*t**3 + 0*t**2 + 1\/2*t - v.\nAnswer: -(t - 1)**2*(t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -v - r + 4, -5*r + 10 = -4*v. Suppose v = 3*y - 5*p - 26 + 119, 0 = -2*y - 4*p - 84. Let m = y + 65. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Let n(x) = -133*x**2 - 3*x - x + c*x. Let p be n(-2). What is p rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3012*l - 406612. Determine b(135).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*i**3 - 11 - 2*i + 8 + 3 as c*i**3 + x*i + z*i**2 + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j = 2*p + 237, 4*p + 398*j - 402*j + 64 = 0 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 12\/((-96)\/(-104)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 474222\/18 + 6\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82262658.\nAnswer: 2, 3, 13710443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 4, 1\/3, 3, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 832717.2m?\nAnswer: 832717200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**19\/(o**0)**(-14) assuming o is positive.\nAnswer: o**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**5 - a**3*j + 4*a**3*z**3 - 5*a**2*j*z**2 + a*j*z**3 - 4*j*z + 2*j wrt a?\nAnswer: 60*a**2 - 6*j + 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 5983?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*k + 1010 - 855*k**3 + 256*k + 858*k**3.\nAnswer: 3*k**3 + 5*k + 1010","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*n + 87*n - 1779 - 1221 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/18*4)\/(4\/((-240)\/(-10)))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 133*n**2 - 202*n + 468. Let v be z(65). What is the greatest common divisor of v and 1469?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421, -405, -363, -283, -153, 39, 305?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788*g = 686*g - 13208 - 14798 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0)*7\/(-42)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t**3 + 6*t**2 + 11. Let l(r) = -r**3 - r**2 - 1. Determine -j(y) - 6*l(y).\nAnswer: -9*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 884160 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 3, h: 3, v: 2, f: 1, s: 3}. Give prob of picking 1 v and 1 f.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let z(t) = -2*t + 22. Let x be z(7). Let b(n) = -x*n - 10*n + 20*n. What is -b(s) + 2*m(s)?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 5 (c) 58.51 (d) -21 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 14*m**2 - 12. Let z(w) = -266*w**2 + 231. Let a(y) = 77*s(y) + 4*z(y). Let f(b) = -39*b**2. Give a(f(q)).\nAnswer: 21294*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**4 - 3*z**4 + 9*z**4 - 2*z - 1 + 2*z**2 + 3*z - 5*z**3 to the form j*z + u*z**4 + t*z**2 + r*z**3 + n and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.7517 minus 162?\nAnswer: -120.2483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 2 (c) 2\/9 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (48\/42)\/(6\/8523)*(-14)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -18*v + 21. Let l(s) = -8*s + 9. Let g(b) = -7*l(b) + 3*q(b). Let t(u) be the first derivative of 5*u**3\/3 - 1. Give t(g(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 2. Let l be h(17). Suppose t - l = 97. Calculate the highest common divisor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(2057) + 0 + -3*sqrt(2057) + sqrt(2057))**2*-3 + 4.\nAnswer: -6179 - 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*j + 2*p + 24, -13*j + 10*j + 26*p = -67 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -4216\nAnswer: 9\/1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfv when three letters picked without replacement from bbbbbvfvbsoff.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62, 8, -204, -652, -1414?\n\"Answer: -13*n**3 - n**2 + 40*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) - 6*-1*sqrt(165))\/(((sqrt(11)*-2 - sqrt(11) - sqrt(11)) + sqrt(11))*-5))\/((sqrt(60)*-2)\/(sqrt(432)*-1)).\nAnswer: 7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 i when three letters picked without replacement from fvffffvvfffxiix.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*(-11 - -14) + 2. Let r = 20 - 9. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -4*p - 392. Calculate the remainder when 10 - (0 + 0 - 2) is divided by ((-16)\/14)\/((-16)\/p).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -698631*v**2 - 3*v - 2191650 wrt v.\nAnswer: -1397262*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-12))\/10*5\/(-5)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:27 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 - 2*d**4 + 0*d**4)*(-4 + 1 + 4).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by (-1406)\/(-12) + 81\/(-486).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 + (-4)\/3. Let u(c) = -8*c + 42. Let o be u(5). Determine z, given that 2*z**2 + o*z + k + 2\/3*z**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 3*b**2 + 0*b**2 + 39*b - 97*b + 346*b**2 - 339*b**2 + 2 + (-3*b + 3*b - b)*(b - b + 2*b) + 3*b**2 - b**2 - 3*b**2.\nAnswer: 3*b**2 - 58*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 17. Let a(b) = 2*b + 2*b + 2*b**2 + 0*b**2. What is the units digit of a(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13606577.\nAnswer: 131, 103867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.27, 2\/3467?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/24 and -79\/5837883?\nAnswer: 46703064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**2 + 6534 + 5*l**2 - 6532.\nAnswer: -18*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/882 and -5\/84?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 88 - 72 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 27.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cttpyatttccpctta. What is prob of sequence pay?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*k + 78, 3*o + 3*k - 32 - 25 = 0. Suppose i + 24 = 5*x, 6*x - 5*i - o = x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(300\/80).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(1\/9)*z*z*z**(-2\/5))\/(z**(-14\/9)\/(z\/(z\/(z*z**(-1\/2)\/z*z*z)))))**6 assuming z is positive.\nAnswer: z**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**3\/6 - 229*x. Let j(g) = 0*g + 4*g - 3*g. Give j(n(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11120021220 (base 3) to base 12.\nAnswer: 44020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 61. Suppose 0 = 8*u + 3*u - 1419. Let a = u + s. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 127*w**3 + 63*w**2.\nAnswer: w**2*(w + 63)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -14*y - 2513. Give k(-85).\nAnswer: -1323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((0 - 2)\/2). Let q be (8 - -12)*(-66)\/m. What is the greatest common divisor of 30 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -659, -653, -645, -635?\n\"Answer: b**2 + 3*b - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1168902 times 0.11\nAnswer: -128579.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 167 + 6 = 0. Let n = -37 + w. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:03 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*x + 13. Let c = -15 + x. What is the tens digit of 2 - 20\/c*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2131 - -1932.7. Let m = -198 - i. What is the nearest to 0 in 3\/7, m, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Let v = 196 + -183. Let f(z) = 15*z + 4*z**2 + v*z - 28*z. What is f(g(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*(-14 - -14). Suppose 0 = 4*o - 2*a, -2*o + 6*o = -5*a. Suppose o = 4*k - 6 + 2. Is k greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*d = 358*d + 766*d + 12652 + 11190 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 2*h - 5*h)*(-4*h**3 - 22 + 7*h**3 - 177*h**2 + 169*h**2) to j*h**4 + m + r*h**3 + g*h**2 + s*h and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 153637 and -1089.\nAnswer: -167310693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 263449 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*t + 15 = 5, b - 2*t = 15. Let r(s) = 2*s**3 + 6*s**2 + 3*s - 1. What are the prime factors of r(b)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luv when three letters picked without replacement from {j: 1, v: 7, l: 5, k: 5, u: 1, s: 1}.\nAnswer: 7\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w - 115 = 40*w. Suppose w*u - 18*u - 10 = 0. Factor 8\/7 - 2\/7*q**u + 0*q.\nAnswer: -2*(q - 2)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36888*z**3 - 2*z + 0*z - 36858*z**3 + 2*z.\nAnswer: 30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 20920.\nAnswer: -13, 5, 20920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 9*b = -72. Let f(v) = -20*v - 3*v**2 - 31 + 10 + 2*v**2. Is f(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.3 (b) -0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from qfafacqjjcjcfjw.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 16. What is the lowest common multiple of 172\/8 - 1\/2 and w(2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -1 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 - (112 + -125)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**3 - 2*p**2 + 1. Let i = -2 - -1. What is the units digit of f(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393372 and 14?\nAnswer: 393372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*n = -5, f + 8 = 5*n + 21. Let s(d) = -7*d**2 - d**f + 7*d**2 - 2. Let p(c) = c**3 + 3. Let x be -2 + 2 + -1 + -2. What is x*s(z) - 2*p(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 - -67. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 4. Let a(i) = -i**2 + 2*i + 2. Let w(z) = a(z) + q(z). Let v(u) = u - 4. Let p be v(4). Calculate w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a second in milliseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 47*k**3 - 46*k**3 + 6*k**2. Let z(b) = -15*b**2 + b. Let o be z(1). Let h(a) = -a**2. Determine o*h(w) - 2*f(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172.5 + 149.68. Let a = v + 23. Round a to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 15. Suppose -5*t + 25 = -0. Let o = t - 2. Sort o, -3, x.\nAnswer: -3, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/180 - b**5\/10 - 23*b**4\/36 - 5*b**3\/3 + 582*b**2. Factor j(o).\nAnswer: -2*(o + 1)*(o + 3)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 + 0 + 9*u + 6. Let r(j) = 11*j - 3*j + 4 + 12 + 11*j - 9. Calculate 7*f(i) - 3*r(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427, -847, -1263, -1675, -2083, -2487?\nAnswer: -2887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.6 and -151 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 6*w**2 - 12*w + 8. Let y(l) = -2*l**3 - 12*l**2 + 23*l - 15. Let j(u) = 5*m(u) + 2*y(u). Is j(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713721648?\nAnswer: 2, 3, 23, 83, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9351 + -9354. Sort -2, d, -1\/7, 2, -0.2.\nAnswer: d, -2, -0.2, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 12:20 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3271 (base 9) in base 3?\nAnswer: -10022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 412*z**3 - 2*z**3 - 75*z**3 + (-4 + 2*z**2 + 4)*(-1 + 1 - 2*z).\nAnswer: 331*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - b**2 + 5 - b**2 + b**4.\nAnswer: (b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 735 and 1155?\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/11 and ((-65)\/40 - -1)\/(1\/2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 5, -1012, 150 in decreasing order.\nAnswer: 150, 16, 5, -1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90914151 by -3.\nAnswer: -30304717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 0.1 (c) 18\/7 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**4\/3 - 20472*g**3 + 245536*g**2\/3 + 327552*g - 3929600\/3 = 0?\nAnswer: -4, 4, 15350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/(573\/(-9) - 5). Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + 33?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 5*f**2 - 6*f - 6. Let t be q(-4). Let y = 3 + t. Let r = y - -5. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12285, -12248, -12227, -12222, -12233, -12260?\n\"Answer: -8*t**2 + 61*t - 12338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6640547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 243, -14, 0, -5, 8\/5, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75528 + 37768 + 37760 + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14268\/26013 - (-4)\/(-46) - 92\/(-26). Solve -7*i + 5*i = -6*s - 14, 5*s - o*i + 21 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z - 4. Find the third derivative of -w**2 - 2*w**5 - 2*w**2 - w**z wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:28 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/117, -4, -0.044?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - o - 947, -6*r + r - 3*o = -1569. Suppose j = 6*j - r. Suppose -84 = -3*x + j. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.827851 meters?\nAnswer: 0.000827851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 divided by -1364311.\nAnswer: 179\/1364311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 12*u**2 + 7*u + 25. What is the remainder when a(12) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 10:46 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ggcccccggcccgccggcc?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 94. Let l(o) = o**2 + 11*o + 5. Let a be l(-6). Let g = a - z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 51296952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**4\/2 - c**3\/3 + 3*c**2 + 5*c - 135. Let w be t(-2). Solve w*s + 4*x - 19 = 2*s, 3*x = -4*s + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 6:19 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) + (-16)\/(-5). Solve 4*y - 2*a + 0*a + 20 = 0, -15 = m*y + 4*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22 + -272485 + (-7)\/(-1). Round r to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1147084 + 415084. Round r to the nearest ten thousand.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66856064857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/665)\/((-4)\/38).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - 2*sqrt(7)) + -3 + -5*4*sqrt(7).\nAnswer: -21*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865552669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793070 is divided by 80?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54109 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 highest common divisor of 714 and 2180556?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 9. Let t(i) = i - 1. Let j(d) = -5*t(d) - w(d). Let n be j(-4). Let r be 1 + -1 - (1 - n). What is the closest to r in -5, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3722*m - 658*m - 3279*m + 888*m)*(-3 + 2 + 0 + (-3 + 5 - 3)*(-1 + 0 + 0) - 3 + 1 + 3).\nAnswer: -6771*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.9957 + 32. What is w rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 1849*i**3 + 2 - 928*i**3 - 4*i - 932*i**3 to o*i + f + u*i**2 + m*i**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -17*b**6\/60 - b**4\/24 + 2*b**3\/3 - 18*b**2. What is the second derivative of v(l) wrt l?\nAnswer: -204*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234 - 7 - 6)*(-2 + 5 - 12)*(-2*v**2 + 3*v**2 + 2*v**2).\nAnswer: -5967*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-8)\/(-32)*(-820)\/5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 1, c: 6, f: 3, j: 1}. Give prob of sequence of.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 472*m**4*s + 3110*m**4 - 7*m*s + 7*m - 226*s - 9 wrt m?\nAnswer: 5664*m**2*s + 37320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o + 141. What is the tens digit of c(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*f**2 + 18\/5 - 9\/5*f.\nAnswer: (f - 6)*(f - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20161445*t**3 + 80307*t**2 - 2.\nAnswer: 120968670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -252 and -0.3.\nAnswer: -252.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 - 5*j**2 - 6*j - 5. Let z(s) = -s**3 - s - 1. Let a(q) = -t(q) + 2*z(q). What is a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*d*t**2 + 5*a**2*d + 15*a**2*t**2 + 2*a*d*t + 122*a*t**2 - d*t**2 wrt a.\nAnswer: -2*d*t**2 + 10*d + 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6162862, -6162908, -6162992, -6163120, -6163298?\nAnswer: -6163532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, t: 5, f: 10}. What is prob of picking 3 t?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584851*t - 584851*t - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/6 - 7*x**2 - 8*x\/3.\nAnswer: -x*(x + 8)*(5*x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -3*p - 176. Suppose 0 = -f - 1586 + 1717. Calculate the remainder when f is divided by p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 58. Let i be x(18). What is the least common multiple of 24 and (-6)\/i + 174\/4?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/105 - 6044\/(-42). What is the greatest common divisor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29922383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r**2 - 4*r - 14. Let p(n) = -7*n**2 - 3*n - 12. Give -3*a(q) + 4*p(q).\nAnswer: -4*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + u + 4. Let n = -55 - -66. Let t(o) = 5*o**2 + 2*o + 7. Determine n*h(b) - 6*t(b).\nAnswer: -8*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqgcqgtoxoq. What is prob of picking 1 t and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 148*n**2 - 1. Let d be g(2). Suppose 5*k - d - 89 = 5*u, 398 = 3*k - u. What are the prime factors of k?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -64466*b + 7478045. Calculate x(116).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 34*h**2 - 203*h + 1476. Calculate l(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by (192\/10)\/((-322)\/70 - -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 5*c - 3. Let g be i(1). Let n be 2\/(0 - g - 6\/(-2)). Let a be -1*(-1 - (-1 + -2)) - n. Sort 7, a, 2 in descending order.\nAnswer: 7, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4000295667 to the nearest integer?\nAnswer: 63248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwkhwwwkkhlhkwh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74332 is divided by 758?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2))**(2\/105)*(r**(-3\/4)\/r)\/(r*r\/(r**15*r)))**21 assuming r is positive.\nAnswer: r**(5137\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3098\/7745)\/((-2)\/(-100)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w + 4. Let g be b(-3). Let h = -56 + 27. Let o = g + h. Solve -7*a = -o*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - -10) + 4 + 0. Suppose h = 2*a - 396, 2 + 8 = -m*h. What is the hundreds digit of a + (-6 - 0)\/(-3) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156638*u**3 - u**2 + 233032*u.\nAnswer: -939828*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*w - 299*w = 4*y + 322414, -5*w = 2*y - 805975. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6347, 6327, 6309, 6293, 6279, 6267, 6257?\nAnswer: 6249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = 4*m + 5, 12 = -2*m + 4*x. Suppose -m = s + 1. Let k = s - -9. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 208 - -5073?\nAnswer: 5281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 43*m - 93. Let v be k(-19). Solve 15*h - 19*h - 2 = v*f, -4*h + 4*f = 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*h + 28. Let m = -42 + 100. Let x = 55 - m. Which is the nearest to -3\/4? (a) h (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -774.19 + 770. Let o = 0.81 - j. What is the second biggest value in 4, o, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 26. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 - 5*v + 4. Let b(w) be the third derivative of -1\/20*w**5 - 1\/3*w**3 + 1\/8*w**4 + 0*w + 0 - 7*w**2. Determine 5*b(c) + 3*m(c).\nAnswer: 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130006?\nAnswer: 2, 65003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207047855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 4*s - 2*s)*(-s**2 - 2 + 2) - s**3 + 2*s**3 + s**3 - 1 + 1 + 2*s**3 to the form u*s**3 + i*s + m*s**2 + p and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-14303.\nAnswer: -2860.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 times 0.2?\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1236 + 1253. Solve 0 = o*y - 22*y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggcg. What is prob of sequence ccgc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g - 4. Let l be b(-4). Suppose 0 = 3*z + 2*d - 21, 3*z = -d + l - 4. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by (-62 + -4)*(252\/(-24) + 8).\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4559\/9700*-20 + (-4)\/(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (72\/32)\/((-1)\/(-4)). Suppose 0 = 2*w - 2*s - 2, -s + 0*s + 3 = -3*w. Let b be 61\/7 - w\/7. What is the highest common divisor of b and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 2*b**2 + 147*b + 17. What is q(-13)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + -3 + -5)*1*5. Solve -3*n + 4*c - 15 = 3*c, -p*n = 3*c + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12*x**2 + 6*x + 6. Let d be z(0). What is the second smallest value in 0.4, 1\/3, 0.2, d, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + b - 13. Let l be (-1 - -1) + (4 - 4). Calculate j(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.341 + -19.659. What is the nearest to -2\/5 in c, 3, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z**(-2\/3)\/z)\/z)**(-17))**(-3\/14))**12)**29 assuming z is positive.\nAnswer: z**(-23664\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58.7 and -61?\nAnswer: 3580.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -0.8859414?\nAnswer: -0.8859414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 j when three letters picked without replacement from rjjjjrjjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -868, -1737, -2606, -3475, -4344, -5213?\n\"Answer: -869*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 11:05 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14261*n - 744031 - 1099070 = 123486 - 141179 for n.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c - 6. Let p be q(6). What are the prime factors of 469 - (p\/(-9) - 1\/(-3))?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/637 and 54\/374465?\nAnswer: 2621255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3 = -b, 5*a - 15 = -b - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-9)\/((-81)\/(-18)). Let o(l) be the third derivative of -9*l**2 + 0*l - 1\/30*l**5 + 0 + 0*l**t + 3\/2*l**3. Differentiate o(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (0 - -64)*(-2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -13*b**2 + 8*b + 22. Let a be h(-5). Let m be 3*(1722\/a + 5). Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-6405)\/(-4392)*(-6)\/10\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202526767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 3*z**3 - 24*z**2 - 28*z.\nAnswer: z*(z - 7)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 974*z**2 + 0*z + 819*z**2.\nAnswer: -155*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 2, q: 2}. Give prob of sequence zq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 times 22.14?\nAnswer: -3896.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -698 - -6475. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, x: 2, n: 1, y: 1, t: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 33*r**3 + 54*r**2 - 231*r + 54. Let p(s) = -37*s**3 - 53*s**2 + 232*s - 52. Let j(c) = -4*m(c) - 3*p(c). Solve j(d) = 0 for d.\nAnswer: -5, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(-26*33\/(-113256)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3 or 6681689?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11001?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 7009*w + 40 + 52.\nAnswer: 7009*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-486)\/234*504\/(-1134).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h - 1. Let o(r) = 28*r + 12. Let f(t) = -6*b(t) - o(t). Suppose 19*p - 18 = 16*p. Let j(i) = 5 - 6*i - 2*i - 5*i + p*i. Calculate 5*f(x) + 6*j(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + x + 5 = 0, -2*x + 7 - 17 = 0. Solve u = i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-2\/165)\/((v\/(v\/v**(-3)*v))\/v**(-7)) assuming v is positive.\nAnswer: v**(-493\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5495281733?\nAnswer: 53, 97, 1068913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -12*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -74 + 74. Suppose -10*a + 5*a + 32345 = d. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(171)\/(sqrt(72)\/sqrt(392)) + 5 - (-2 + -3*-3*sqrt(1900)))**2.\nAnswer: -1162*sqrt(19) + 130945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3140 divided by 628\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 2*v - 7. Is 33 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*h**4 - 251*h - 442*h**3 - 9 + 9 + 250*h - 17*h**4 in the form k*h**3 + i*h + t + n*h**2 + l*h**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1570, 3140, 4712, 6286?\n\"Answer: y**2 + 1567*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1484038*k**6 - 17*k**3 + 146987659*k**2?\nAnswer: 178084560*k**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*n**2 + 3*a**2*n + 592*a**2 - 949*a*n**2 + 92*a*n - a - 1028*n**2 wrt n?\nAnswer: 4*a**2 - 1898*a - 2056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*-1*27\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150 + -149 + (2 - 2 - -28)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1945*s = -1932*s - 91 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*a + 7 = -163, 0 = -b - 3*a - 28. Suppose -56 = -6*u + 280. Let q = u + b. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70044.9527 rounded to the nearest 10?\nAnswer: 70040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279.7114 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 101\/(-3) + 8\/(-24). Let s = 53 + b. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -223, -724, -1681, -3244, -5563?\nAnswer: -8788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1188 + 0.1888. Which is the nearest to 1? (a) 0.08 (b) 2\/11 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -27114\/11 at most as big as -2466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 28*b**2 + 2*b. Let x be k(-4). Suppose 3*m = -m + x. Let y(z) = 89*z - 408. What is the remainder when m is divided by y(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - 340\/75 - -3 and -87\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1. Let g(l) = -8*l + 42762 - 42759 + 13*l. What is -4*a(k) - 2*g(k)?\nAnswer: -10*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 14*y**2 + 6*y - 87. Let v be s(-13). Solve 4*i = -v*a - 4, -2*a = -3*i + 5 + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*k**3 + 1019*k - 1019*k)*(3*k - 2*k - 3*k)*(1 - 1 + 4*k).\nAnswer: -376*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/31 in 4, 41, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*h + 931, 8 = -h - 5*n + 341. Let w(d) = -d**2 + 114*d - 1299. Calculate the remainder when h is divided by w(100).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 5\/16, 4395?\nAnswer: 4395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 13*o - 17. Let f be n(-11). Which is the closest to -0.09? (a) -5 (b) f (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p. Let k = p + 3. Suppose k*h = 5*i + 82, 5*i = 5*h - 137 + 17. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116112783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3397010, 3397058, 3397106, 3397154?\nAnswer: 3397202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v**4 - 49 + 0*v**2 + 0*v - 49\/6*v**6 - 30*v**3 + 0*v**5. Find the third derivative of q(w) wrt w.\nAnswer: -2940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 37*v**2 + 23*v + 2148. Let y be l(39). Sort -4, 855, 2, y in descending order.\nAnswer: 855, y, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 + 3 + (-95)\/(-35). Let v = p - 4. Let 2*i**3 + 2*i - 19 - 4*i**v + 19 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 5) to base 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*17.05.\nAnswer: 8.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:31 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1277657.8 to the nearest 1000.\nAnswer: 1278000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 17 = 4*p - 15, 0 = 3*p - 2*w - 24. Suppose 3 - p = -d. Solve r + 3*j = -2*r - 12, d*r + 20 = j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112 * 1339.\nAnswer: 149968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-7*h**4 + 0*h**4 + 4*h**4) + 2*h**4 + 0*h**4 + 0*h**4.\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 - 401*k + 401*k - 3*k**4 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-282)\/(-99))\/(4\/(-6)) and 8 - (7\/14)\/((-12)\/(-632))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00683831323 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c + 15. Let i be s(-8). Let b = 33 + i. Differentiate 10 + b + 4*k**4 - 2*k + 2*k with respect to k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5999.028g?\nAnswer: 5999028000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652860 divided by -4?\nAnswer: -163215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13897, 28174, 42451, 56728?\nAnswer: 71005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -266*n**2 - 155*n. Let a(p) = -p**2. Determine z(a(q)).\nAnswer: -266*q**4 + 155*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 + -14141122.216?\nAnswer: -14140852.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10\/3))**(-2\/73)*(u*u**(-3\/7))**(1\/55) assuming u is positive.\nAnswer: u**(8576\/84315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k. Let r(v) be the first derivative of -1\/6*v**3 - 2*v + 0*v**2 - 1. Let i(d) be the first derivative of r(d). Calculate g(i(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -15. Let j = 547\/740 + 2\/185. Which is the closest to -2\/5? (a) j (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 0, -6*i + i - 3*n + 5340 = 0. List the prime factors of i.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -244?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -4187919654216.5?\nAnswer: 4187919654211.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + 30. Suppose 0 = 3*l - 0*l - 36. Calculate the greatest common factor of x and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8769*0.2\nAnswer: -1753.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27987 less than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.7 - -0.6. Let r = 6 - k. Let s = -424.06 - -426.06. Put s, 5, r in decreasing order.\nAnswer: 5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-18)\/(-8) - 19\/(4104\/522))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 463 + 183. Let q = -68 + a. Solve -4*d + 1 = c, 4*d - q*c + 0 + 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1029, 0, -2 in ascending order.\nAnswer: -1029, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -29, 2, 104, 17 in ascending order.\nAnswer: -29, -8, 1, 2, 17, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 60, 94, 112, 108, 76, 10?\n\"Answer: -n**3 + n**2 + 48*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18146.\nAnswer: 2, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*w + 15497 + 9607 - 658 = 0 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c697 - -16?\nAnswer: 7c6ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87\/4 - -43\/2. Let r = -6 + 4. Suppose -i - 3*o = -3*i + 8, -3*i = -3*o - 9. What is the nearest to i in -1\/2, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:02 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**3*l**3 + 5*d**2 + d*l**3 + 86*l**3 wrt d.\nAnswer: -15*d**2*l**3 + 10*d + l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from vqhyhvql.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/9 + 5215210*j\/3 - 15645632\/9 = 0.\nAnswer: -7822816, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-2)\/20). Suppose -4*o - o = m*v, -o + v = -10. Suppose x + 7 = 3*i, 2*i + o = 3*x - 2. Solve g = 3*j + 8, 10 = i*g + j - 2*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1520 by -4.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -401 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6423)\/9 + -3)*189\/(-18). Calculate the highest common factor of h and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*b + 13, 53 = 4*o - b - 0*b. Suppose 20 = 5*x - 3*h, -5*x = -4*h - 23 + 3. What is the lowest common multiple of x and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let b = -41 + 44. Suppose 5*w - 2*w - n*g - 5 = 0, -b = w + 4*g. Solve 24 = -5*d + j, d = 5*j + w - 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - r - 3*r = -32, -5*h = 3*r - 46. Which is the nearest to h? (a) 0.2 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, 3, -28\/73, 5, 10 in ascending order.\nAnswer: -1, -28\/73, 0.4, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-23)\/u*u**(-1\/20)*u**(-22)*u\/(u*u*u*((u*u\/u**5)\/u)\/u*u)*u assuming u is positive.\nAnswer: u**(-861\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.67 + 2.67. Let b = 1067\/80 + -67\/5. Let z = b - -11\/48. Put z, 3\/2, u in descending order.\nAnswer: 3\/2, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 15169308132?\nAnswer: 15169308130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/3769096 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/36 - 22\/12. Let v(m) = 4*m**2 + 2*m + 2. Let a be v(k). Let b = a - 14. Put 4, b, -1\/5 in ascending order.\nAnswer: -1\/5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 8. Let x = b - 6. What is the nearest to 0 in x, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144242388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 4\/7, -523, 6 in descending order.\nAnswer: 6, 4\/7, 3\/7, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*y**2 + 7*i**3*y + 171*i**2*y - 80041*i*y**2 + 2*i*y + 9*i - 2*y**2 wrt y.\nAnswer: -2*i**3 - 160082*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7710*a + 30531*a - 7378*a - 7738*a - 7709*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y = -18. Let b = 8 - y. Solve -n + 4 = b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 10:00 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 61, 123, 185, 247, 309?\n\"Answer: 62*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -344128753*f**3*p + f**2*p + 2*p - 9168025 wrt f.\nAnswer: -1032386259*f**2*p + 2*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1155\/43 + 27. Let k = y + 3987\/86. Calculate the common denominator of k and -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.45386 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 6:58 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-24))\/(-2*(-1)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 4, 1 in decreasing order.\nAnswer: 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 20040024*o - 33466880160048.\nAnswer: -3*(o + 3340004)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15743 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 45*b. Let a(u) = 130*u**2 - 2*u. Give s(a(g)).\nAnswer: 5850*g**2 - 90*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2234 - 775. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4 - 75*k**3 - 1970*k**2 + 4200*k = 0?\nAnswer: -15, 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3759634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4144 and 32368.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-9))\/(1\/9). Suppose 51 = p*i + 5*g - 24, 3*g = 9. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 224*w - 1150. Determine b(-69).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576, 1155, 1734, 2313?\nAnswer: 2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -488, -943, -1368, -1763?\n\"Answer: 15*o**2 - 500*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n**3 + 86*n**3 - 20 + 51 + 24 + 58 + n.\nAnswer: 67*n**3 + n + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5) + (-54)\/(-30). Suppose w - 4*g = 22, l*g + 16 = 3*w - 0*w. Which is the closest to -1? (a) w (b) 4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 8531650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -49*q + 43*q. Suppose -4*o + 2*o - 5*n = -9, 3*n - 70 = -q*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from lnnvvlvvlvlvnvvnn.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-1*2*6 + (-2*sqrt(931) - sqrt(931)) + 4)**2.\nAnswer: -264*sqrt(19) + 20707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4 - 2*k**3\/3 - 14*k**2 + 50*k\/3 - 4 = 0?\nAnswer: -3, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3915521l?\nAnswer: 391.5521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 871481011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 912*q**3 - 1456 wrt q.\nAnswer: 2736*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*m - 3*c, 5*m - 16 - 9 = 5*c. Suppose 512 = u + m*u. What is the greatest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 137*p - 135. What is w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608609219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6 + 35\/10)*-2. Let x(i) = i**3 + 6*i**2 + i + 3. What is x(m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = s - 2240, -2*s = -s - 2*u - 2240. Suppose 0 = 4*k + 4*w + 1792, 3*w = -0*k + 5*k + s. Let b = k - -688. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 - 4*a**4 - 2*a**4)*(-3*a + 0*a + 2*a + 1).\nAnswer: 5*a**5 - 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1986 and 5.\nAnswer: 9930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291746?\nAnswer: 2, 7, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {f: 8, b: 2, j: 6, s: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 571155 and 152308.\nAnswer: 2284620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -27 - 21*h**2 - 24 + 7*h**2 + 9*h + 38 + 7*h**2 + h**3. Calculate a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:39 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -17187452?\nAnswer: 17187465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.254 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-574)\/(-42))\/(3\/((-99)\/(-11))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1340 + -20203322?\nAnswer: -20210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1834\/9 + 204. Which is the closest to -0.1? (a) -4\/3 (b) -3\/7 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -433104, -433117, -433130, -433143, -433156, -433169?\n\"Answer: -13*n - 433091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/34 greater than or equal to 542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 21*m**2 - 43*m - 61. Let k be a(23). Suppose k = -c + 8. Solve 0 = 5*l - j, 4*l + c*j = -2*j - 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/((-9990)\/81))\/(4\/(-10))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1119520 = 84*r + 393844. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 51*y**2 + 48*y - 102. Let t be s(-50). What is the nearest to 5 in -7, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99) + 2 + sqrt(99)) - (sqrt(396) + 0 + -1 + sqrt(396)))**2.\nAnswer: 144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 3*g. Solve 3*w - 7 + 1 = g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/158763 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256 + 352. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (-3 - -7 - 5) + -14?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3\/2, -2, 2\/155 in increasing order.\nAnswer: -2, -3\/2, 2\/155, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - 1. Let a = 0.7 - m. Let s = -0.3 + a. What is the third smallest value in s, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-35)\/(-2))*(-855)\/38.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from fqqqqfb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-15)\/10 + 8\/(-4). Let h be 1\/6*78 + z. Factor -24\/5*t**4 - 72\/5*t**h + 66\/5*t**3 + 0 + 3\/5*t**5 + 27\/5*t.\nAnswer: 3*t*(t - 3)**2*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-2)\/(-20) - (-9)\/(-45). Let p be 28*(6\/(-4) - -2). Suppose 5*k - 6 - p = 0. Solve k*v - 2*v = z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 2*h**2 - 1. Let n be 12\/(-15)*15\/(-2). Suppose n*x - 4 = 2*x. Give s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = 13*d + 14 - 14. Solve d = 7*c + 6 + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50650, 50649, 50648, 50647?\nAnswer: 50646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2 - 1 + 0 + 35*n**2. Is 15 a factor of a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -4)*9\/(-27). Suppose u*d = d. Suppose d*m = -5*m + 60. What is the smallest common multiple of 14 and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 143*m + 903. Calculate j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 11:36 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 + 52*m + 272 = 0.\nAnswer: -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -567ba (base 14) to base 11\nAnswer: -133922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.538264 to 2 dps.\nAnswer: -77.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -5 (c) 1.5 (d) -0.049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.19, -50, -3\/7, -0.08, -0.02, -2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 12*l + 4. Sort 12, l, 3 in decreasing order.\nAnswer: 12, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566483.08 rounded to the nearest ten thousand?\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.01709, -4 in ascending order.\nAnswer: -4, 0.01709, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + 6*sqrt(76)*3 + 5)*-3 + 0.\nAnswer: -108*sqrt(19) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3\/3 + 4*s**2 - 7*s - 1. Let j be 0 - ((-9)\/1 - -2). Give p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -41, -43, -45, -47, -49?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 721494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167257 + 39639977\/237. What is the common denominator of v and -61\/9?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68841.59 millennia in centuries?\nAnswer: 688415.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/62733643 or 1?\nAnswer: -2\/62733643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 39, 60, 89, 126, 171?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (2 - -6))*16\/10. Let t(m) = m**3 + 8*m**2 - 5*m - 44. Let y be t(f). Sort y, 5, -3 in decreasing order.\nAnswer: 5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/(sqrt(9) - sqrt(81)) - sqrt(324)\/sqrt(192))\/(1*sqrt(36)*3).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4637*p - 4634*p + 18, -5*p = 5*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 221059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -60. Let k be (-3)\/(-12) + 33\/x. Solve 5*c - 7 = -4*g - 19, -k*c + 3 = -g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-45) - (-4)\/18. Suppose 4*l + 0*l = 4*p - 132, 3*p - 4*l = 103. Suppose -4*t - 3*j + 17 + p = 0, -2*t - 5*j + 16 = s. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 + 1 - 7*i + 8*i + 0 + i**2 + 771*i**3 - 850*i**3 in the form v*i**3 + c + y*i**4 + l*i + h*i**2 and give v.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 53 = -34*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 115*y - 582. Let x be 3 + 0 + (0 - 0). Solve -x*l = -5*l + y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -b + 342, 73 + 9 = c + 2*b. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560730 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.1 (b) -0.1 (c) 3\/2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -8\/103, -2?\nAnswer: -8\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 3, 4752 in descending order.\nAnswer: 4752, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9773*p**5 - 2*p**4 - 20*p**3 - 1108*p**2 + 1084*p - 2 wrt p.\nAnswer: 586380*p**2 - 48*p - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 35, 1, -3 in increasing order.\nAnswer: -3, -1, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 3*x - 12. Let d(n) be the second derivative of 3*n + 1\/20*n**5 + 0 + 0*n**4 + 0*n**x + 1\/2*n**2. What is the first derivative of d(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-1 + -3)**2 - (3 + -1*sqrt(147) + sqrt(147))**2.\nAnswer: 42*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a. Let u be (15 + -14)\/(2\/(-70)). Let o = 37 + u. Let k(i) = 2*i**o - i**2 + i**2. What is k(c(g))?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 9:43 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23815274 divided by 1\nAnswer: -23815274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9572*c**3 - 3172*c**3 - 5169*c**3 - 7*c**2.\nAnswer: -17913*c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4319 - 4318.99994747. What is j rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**2*p*v - 46*g**2 - 2*g*p**3 + 5*p**3*v - 3*p**2*v + 11*p wrt g.\nAnswer: -8*g*p*v - 92*g - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 8*u**2 - 6*u - 2. Let o be r(7). Let z(y) = -y + 38. Let p be z(38). What is the second biggest value in o, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 882 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561375, 1122753, 1684131, 2245509, 2806887, 3368265?\nAnswer: 3929643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 e, and 1 d when four letters picked without replacement from {e: 3, w: 4, f: 2, q: 1, d: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52169\/6 - -8695. Let -1\/2 + 1\/6*n**3 - 5\/6*n - p*n**2 = 0. What is n?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 28*z + 153. What is k(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11298 + -1016863\/90. Find the common denominator of v and -149\/204.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281481 divided by -1?\nAnswer: -281481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4167 and 16668.\nAnswer: 16668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1057 - 5*z**2 - 6*z + 1098 + 3*z**2. Give h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 - -377. Let o = 807 - t. List the prime factors of o.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 933, -315, -7, 2?\nAnswer: 933","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -36. Let u = i + -10. Suppose 3*l - 29 = -u*q + 1, -3*q + 2*l + 45 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)\/i**(-5))\/(i\/(i\/(i\/(i\/((i*i**(-8)*i)\/i))*i))*i**(-26)\/i) assuming i is positive.\nAnswer: i**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 23*g**2 - 21*g - 24. Calculate j(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 46*u**2 - u - 1222. List the prime factors of q(41).\nAnswer: 13, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 122*r**2\/7 - 208*r\/7 + 744.\nAnswer: 2*(r - 62)*(r - 6)*(r + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.142 to 1 dp.\nAnswer: 20.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4259043 + 3032784. Let n be (z\/24)\/((-12)\/(-2)). Let c = 8522 + n. What is the common denominator of -101\/20 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4367\/74 less than -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6466058 less than 2.737?\nAnswer: 2.0903942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x + 1. Let l(c) = 4*c + 1. Suppose h - 8 = -3*h. Let q(m) = -m**3 + 2*m + 1. Let z be q(h). Give z*i(n) + 4*l(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4415\/9724 - -5\/187. Find the common denominator of x and -79\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 69 = -2*k, 3 = 4*k - 5*k. Suppose z - 2*z + 86 = 3*y, -2*z = 5*y - 143. What is the remainder when y is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6315082663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*k - 1, 6 = 2*k + k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.11 + 0.11. Let z = -3.08 - -0.08. Let f = z - y. Which is the closest to f? (a) 2 (b) 0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -113.6.\nAnswer: 340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84909, 84908, 84907, 84906, 84905?\nAnswer: 84904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260834267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455.000268 + -455. Round y to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*t - 2*z + 1257, z - 178 + 87 = -2*t. Let v = -25 - -60. Calculate the remainder when t is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -55 (b) -5 (c) 1 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.13, 2\/9, -3, -2\/1271, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -220.9, -6, 4\/25, -0.4?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, -2, 9 in increasing order.\nAnswer: -20, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -29\nAnswer: -14\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1524\/60877?\nAnswer: 1524\/60877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-2))\/((-21)\/(-616)). What is the second derivative of 131*n + z*n - 256*n + 32*n**5 wrt n?\nAnswer: 640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 836.02731 to zero decimal places.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/3 + 4\/(-12). Factor -4*w**3 + 0*w**h + 13*w**2 - 9*w**2.\nAnswer: -4*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10884\/12 - 0\/(-10 + 5).\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.7, -7906, -585 in decreasing order.\nAnswer: 0.1, -0.7, -585, -7906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.11.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*c + 106*c + 107*c - 324*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 543\/8?\nAnswer: 543\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2341354712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, g: 1, c: 4, r: 1}. What is prob of picking 1 c and 1 o?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 4 + 4 - (-6 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -53. Sort p, -15, 5 in ascending order.\nAnswer: -15, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*u = 3627, 174*o - 2*u = 176*o - 2426. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-26) + 185\/65. Suppose r*q + 6 = 0, 4*n + n - 4*q - 28 = 0. Solve -6\/5*m**2 + 21\/5*m**n + 3*m**3 + 0*m + 0 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1 - -10) + (25 - 24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -84. Let b = 44 + a. Solve 3*d + 1 = -y + 5*y, b = 5*y + d - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 3876202?\nAnswer: 89152646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = 5*m, 0 = -0*m - 5*m - 5*k + 20. Let j(d) = -7*d**3 + 3*d**3 + 14 + 7*d**3 - 12*d**m - 2*d**3 + 2*d. What is the tens digit of j(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42607.75l in millilitres?\nAnswer: 42607750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 88, -2, 4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 2)**2*-1 + -5.\nAnswer: -162 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, 3, 11\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 10 = 3540*u - 3541*u, -161*u + 160 = 1126 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2 - sqrt(88) - sqrt(88))*5*2)\/(sqrt(32)\/(2*sqrt(4)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*s + 3, -s - 3 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 + 1)*(-2 - 1 + 4) + 0 + 1 - 5 - 15 + 26 + 19)*(7*k - k + 5*k + 3 - 3 + 2*k + (-1 - 2 + 1)*(-3*k + 2*k - k)) in the form s + p*k and give p.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 - -0.13. Let c = h + -4.3. Let w = 3.9 + c. What is w rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3421*f**5 - 138*f - 4*f**3 + 3424*f**5 + 0*f**2 - 2*f**2 wrt f?\nAnswer: 180*f**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.981 micrometers in centimeters?\nAnswer: 0.0544981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95828943 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 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: What is w in -2*w**3\/5 - 474*w**2\/5 + 247698*w\/5 + 62981226\/5 = 0?\nAnswer: -297, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 6:51 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 8:19 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 209880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 15*d + 9. Let f be h(10). Let y = 18 - f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - m - 131262 = 0, 47*s + 4*m - 78748 = 44*s. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 156 = -4*w, -41*w = -40*w + 5*o + 57 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 105*n + 3669. Calculate i(-35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10019 - 8264. What is the highest common factor of y and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1369.1 to the nearest 10.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-26)\/16 + 1). Let x = 4.925 - 4.965. Sort 0, -0.2, x, z.\nAnswer: -0.2, x, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*j = -32, -2*k + 7 = -3*k + 2*j. Solve -k*g = -3*g - 5*h - 23, 3*h + 11 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 11?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*d - 2786*t + 2788*t, -3*d + 4*t + 9 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -1\/24*c**6 + 5\/24*c**4 + 1\/210*c**7 + 0 + 0*c - 58*c**2 + 1\/20*c**5 - 2\/3*c**3. Factor h(l).\nAnswer: (l - 4)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 8 - 12 - 17*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(95)\/(sqrt(60)\/(sqrt(24)\/sqrt(2))))**2*-3.\nAnswer: -69 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8841*g**5 + 7*g**2 + 2*g + 75?\nAnswer: -530460*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9 - 6 + 11)*(-4*s + 4*s + 2*s) + 2 + 2*s - 2 - 2*s + 2*s + s + (0*s - s + 2*s)*(1 + 1 - 4) + 0 + 0 - s)*(-59*s + 50*s + 112*s).\nAnswer: -824*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13910597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k. Let o(r) = -4*r - 5. Let u(s) be the first derivative of s**2 + 2*s - 8. Let v(z) = -2*o(z) - 5*u(z). Determine y(v(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1257 - 4545 = 2*r, 0 = 2*d + 6. Find the common denominator of 1\/24 and ((-6)\/14 + (-618)\/r)*-18.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p**3 + 2*p - 2. Give m(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 8*t.\nAnswer: t*(t - 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 less than or equal to 17\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326502 and 143616.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = i + 84 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 + z - 109. List the prime factors of s(-34).\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*2\/16 + (-418)\/88. Let l be 4\/d*((-189)\/28 - -6). What is the closest to -1 in 3, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*(h*h\/h**(-2\/9))\/h*(h**(2\/7))**(-1\/11)*((h\/h**(1\/2))\/(h\/(((h\/(h\/((h*h**3)\/h)))\/h*h)\/h*h)))\/(h*h**2*h**(-2\/11)) assuming h is positive.\nAnswer: h**(8147\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*(5 + -20 + 6\/(-18)*-15)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 3*w - 1. Suppose 4*b - 6 - 2 = 0. Let h be m(b). Suppose -5*f + h + 102 = p, -14 = -f - 2*p. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.064 + 49.936. Let h = t + -82. Let x = h - -27. What is the closest to -1\/20 in x, 2\/13, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/551952493 and 43\/354.\nAnswer: 3311714958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -3. Let p = o + -10. Which is the closest to p? (a) -0.2 (b) -3\/5 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93437732\/235 - -397614. Let d = w + 8\/47. Is 6 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -452?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 26 = 9, 0*f + 4*x - 28 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19276, -19270, -19252, -19216, -19156, -19066, -18940?\nAnswer: -18772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2316639, -2316551, -2316329, -2315907, -2315219, -2314199, -2312781, -2310899?\nAnswer: -2308487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/10 + 4*x**3\/15 + x**2\/5 - 4*x\/5 - 8. Suppose d(m) = 0. What is m?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.9 (b) -29 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3402)\/(-8505)*((-5)\/3)\/1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8766 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/40169856 and 91\/3504?\nAnswer: 40169856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/9 - 11\/18. Let s(v) = 7*v + 25. Suppose 19 = 2*j - 3*f + 42, j - 1 = -f. Let y be s(j). What is the third smallest value in 0.1, 5, t, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + 1 + 5*(sqrt(3) - sqrt(9)\/sqrt(27)) + (0 + (sqrt(15)*1)\/sqrt(5))*3))**2.\nAnswer: -1216*sqrt(3)\/3 + 5968\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 18. Suppose -5*o + o = r - 16, -4*r = -5*o - 1. Which is the second smallest value? (a) -4\/7 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.257 (b) 0 (c) -0.1 (d) -73 (e) -4\/3 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.21 - -0.21. Let b = -5 + 3. Sort b, d, -0.2.\nAnswer: b, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -4\/21*r**3 + 55 - 12\/35*r**5 + 11\/14*r**4 + 16\/7*r + 1\/21*r**6 - 12\/7*r**2. Factor k(s).\nAnswer: 2*(s - 2)**3*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(650)*6)\/(-3*sqrt(16)\/sqrt(8)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -70976 divided by 34?\nAnswer: -35488\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36 - 15) + -19 - 10\/4. Which is the nearest to 2.5? (a) -3 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 1 f when three letters picked without replacement from zjfrfrf?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32870454487 - -1.34.\nAnswer: -32870454485.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 30. Let j be (9\/15 - 21\/z) + 77. Let h = 26 + j. Calculate the highest common factor of 42 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olllllllllllllllllll. Give prob of picking 3 l.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -128, -352, -686, -1136?\n\"Answer: -b**3 - 46*b**2 + 25*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -57. Suppose -39 = -w - 0*w - 3*d, 0 = 4*w - s*d - 71. Put w, 1, 2 in increasing order.\nAnswer: 1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5803560 and 193452?\nAnswer: 5803560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5272351 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048\/9 greater than or equal to 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -28 + 11 - (-13 + -6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 + 0.34. What is the second smallest value in q, 1, -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -350\/9 or 19394?\nAnswer: 19394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2829421\/4 + 703872. Let z = r - -3504. What is the common denominator of (114\/10)\/((-2)\/5) and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 6*s**2 + 9*s. Let t be o(-8). Let q = 151 + t. Calculate the highest common factor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**2*y**3 + 13543*v**2*y - 67533*v*y**3 wrt v?\nAnswer: 6*y**3 + 27086*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -484*x**3 - 13200*x**2 - 119700*x - 361000 = 0.\nAnswer: -10, -95\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 2266470?\nAnswer: -2\/226647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 21 = 12*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + l**2 + l - 3. Let c be s(0). Is ((-3)\/c)\/((-1)\/(-161)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -126334605 + -2?\nAnswer: -126334607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 452.92725 microseconds in hours?\nAnswer: 0.000000125813125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34013 or -33972?\nAnswer: -34013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10. Which is the closest to s? (a) -0.2 (b) 1 (c) -1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by 4700\nAnswer: -81\/4700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/2 - 90*z + 352 = 0.\nAnswer: 4, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-532)\/42)\/19)\/((-4)\/(-42)). Let l(r) = -r**3 - 5*r**2 - r - 93. Let s be l(k). Let z = -7 + 10. Calculate the highest common factor of s and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 13*k - 0*k. Let c(f) = -f**3 - 8*f**2 - 12*f + 3. Let u be c(k). What is the second derivative of 9*p**4 - 6*p**4 - u*p + p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -65\/3. Let a be (2\/6)\/(14\/170). Let l = a + o. Are 1\/2 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 - 10*o + 11. Let q be k(1). Suppose q = 6*c + 25. Suppose 3*v = -4 - 2. Put v, 1, c in descending order.\nAnswer: 1, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4544)\/284 - (0 - -4)*-1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.52412 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -18*j + 112 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.7142 and -0.4.\nAnswer: 3.88568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -78520666441+-0.04\nAnswer: -78520666441.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 245500259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*s - 9, -s - 2 = z + 1. Let l(u) = -1 + u - u**3 - 2*u**2 + 1. What is l(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-9)\/(-54))\/(44\/(-1452))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 817 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 0 (c) -1\/5 (d) 4 (e) 1\/27609\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 13*j = 2940. Calculate the common denominator of (-1806)\/j + 4\/(-10) and 2\/(-6)*(-6)\/(-22).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {h: 2, c: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2999308617 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 12 = 59*m. Let f(l) = l - 1. Let r(k) = 27*k - 5. Determine m*r(q) + 6*f(q).\nAnswer: -21*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:44 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -695*p**7\/42 + 2135*p**3\/3 - 2775*p. Find the second derivative of i(a) wrt a.\nAnswer: -13900*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236718957 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i + 2*i + 28 + 9. Let n be (-637)\/(-65) - 1\/(-1)*12\/(-15). What is the units digit of v(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1131 + 931. Which is the third smallest value? (a) 4 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -132, -232, -350, -480, -616?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -596, -5\/3, 2407?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1. Let a = -65 + 66. Let c(y) = y + 7 - 1 + a. Suppose 0 = q - 4*o + 17, 3*q + o + 11 = 3*o. Give q*c(v) - 6*n(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -12, -5, -4397 in descending order.\nAnswer: -1, -5, -7, -12, -4397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 6 = 38. What is the biggest value in -2\/73, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4490.5761 + -4428.5760934. Let w = -62 + g. What is w rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -6. What is the derivative of 7*i + o - 9 - 4*i - 2*i wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15972*a**3 + 22*a**2 - 44*a - 11. Let t(r) = -3195*r**3 + 4*r**2 - 8*r - 2. What is 6*l(j) - 33*t(j)?\nAnswer: 9603*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-18) - 437\/966. What is the nearest to q in -2\/25, 6, -4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -69*d + 2. Let u(j) = 2*j - 37. Let a be u(18). Is c(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10767 - 10752 + 8*h + 51*h**2 - 53*h**2. What is g(-6)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1169 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -1584) + 1*3. Suppose -24500 = -5*r + 3*j, 0 = -2*r - 5*j + u + 8219. Round r to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 12351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-690)\/207)\/((-68)\/918)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 300224.\nAnswer: 900672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 97*b + 6. Let f(p) = 32*p + 2. Let x(m) = -8*f(m) + 3*u(m). Is x(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 10*s**2 - 6*s - 39. Let c be ((-2)\/8)\/((49\/308)\/(-7)). What is the lowest common multiple of l(c) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14768688 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1845 - 2851.55. What is l rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-9))\/((-60)\/270). Let o(l) = 5*l**3 + 1 + 0*l**2 - l + 0*l**2. Determine o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.1. Let d = -40.5 - -43. Let p = -1.5 - d. What is the closest to j in p, -0.2, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 20 = -0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 - (-8)\/12. Suppose 5*l = -c + 5. Solve 3*j + 5 = -l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69895078 and 2706?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 25 = 2*z + 1, -3*v = -2*z - 22. Suppose a = v*c + 156, 5*a - 5*c = -0*a + 720. What is the highest common divisor of 28 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411613136?\nAnswer: 2, 11, 277, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 57636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -13 + -9 - 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1458)\/(-18)*(-15)\/(-15)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 116 = -18*i + 4*r, -3*r - 159 = -3*i. Suppose -3*l + s + 16 = 0, 2*l - 5*s - 10 = -4*s. Calculate the greatest common factor of l and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.54 + 20.06. Let v = 49 - q. Let n = 25.93 - v. Round n to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 0.04, -109\/1488?\nAnswer: -109\/1488","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 66, 133, 240, 399, 622, 921, 1308?\nAnswer: 1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132.693 - -0.307. Let t = j - 136. Let b = 8 - 16. What is the fourth biggest value in -0.3, t, b, 5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9857.084 milligrams in nanograms?\nAnswer: 9857084000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -420 or -423?\nAnswer: -423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6572 - -19717\/3. Let m(n) be the first derivative of p*n**3 + 0*n + 10 + 0*n**2. Let i(g) = 18*g**2. What is m(i(o))?\nAnswer: 324*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 18092*f**3 + 4*f**2 + 5*f + 3. Let g be q(-1). What is g rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, -1, -30, -79, -154, -261, -406, -595?\n\"Answer: -x**3 - x**2 - 5*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 209883 = -5*g + 209973, 2*n = 5*g + 8 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 10*c - 17. Let o be z(6). Suppose -2*n + o = 2*j - 1, 2*n + 4*j = 6. Solve 4 = -n*s - x, 2*s - 3*x + 5 = -0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -2)*(-190)\/30. Let r(u) = -u**3 - 18*u**2 + 20*u + 17. What is r(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4133*v - 4 + 4440*v + 31.\nAnswer: 307*v + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)**(-18)*(j*j*j**(2\/7)*j)**15 assuming j is positive.\nAnswer: j**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 89571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2643.\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13708 and 278001667?\nAnswer: 3427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65126000 rounded to the nearest one hundred thousand?\nAnswer: 65100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3464 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.3, 5\/3, 3, -2 in decreasing order.\nAnswer: 8, 3, 5\/3, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6)*4\/(-10). Let n = -1.2 - -2.2. Is n at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1469752 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(25)\/(-3*sqrt(5)) - sqrt(5))) + -2 + -1*(sqrt(125)*-4)**2.\nAnswer: -2002 + 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 38. Let s(k) = -k - 2. What is -a(w) + 6*s(w)?\nAnswer: -2*w - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51.1 - -1.9. Let r = u + -56. What is the third smallest value in r, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -65 (c) -9643 (d) -3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 15647422367?\nAnswer: -15647422367.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-189)\/15 - (-9)\/15. Let z be (543\/k)\/((-2)\/8). Suppose z = 3*x + 4*s, -x - 3*s = x - 119. List the prime factors of x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {j: 10, f: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3547?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, d: 9, c: 2}. Give prob of picking 3 w.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**2 + n + 4 - 281*n**2 + 2*n**3 + 49.\nAnswer: 2*n**3 - 265*n**2 + n + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 402*t**2 - 16*t - 31. Let n be q(-2). Suppose -7*b + n + 3186 = 0. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 + 4*r + 3. Let h(i) = -7*i**2 + 9*i + 5. Let o(j) = -4*h(j) + 9*p(j). Calculate o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 8) to base 13\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 w when four letters picked without replacement from {f: 8, o: 2, w: 2, k: 3}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*j + 102*j - 47*j - 2*j**4 - 3 - 3*j**2 + 2*j**4 + 3*j**2 + 27 - 27 - 10*j**4 + (4 - 4 + j)*(j**3 + 1 - 1).\nAnswer: -9*j**4 - j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*g + 228, 75 = 2*f - 4*g - 51. Calculate the remainder when 1823 is divided by f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*i + 25041, -6*i = 3*l - i - 37574. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 0*l + 7 - 3*l**3 + 3\/4*l**4 + 0*l**2. Find the third derivative of a(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 18*s. Let p be b(18). Suppose 3*c + 2*c - 465 = p. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2 (c) -1 (d) 2\/3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/350*(1 + 0 + -50) - 60102\/477\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 71*d**2 + 2*d + 31. Is 16 a factor of u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*l - 24 = -3*r, 2*r - 5*l = -17. Solve 0 = -4*o + i + 4, 4*o - r + 0 = -i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -1)*1 + 160 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 9*w - w**3 + 22*w - 4*w**2 - 14*w to r*w + t*w**3 + v*w**4 + l + k*w**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4163*9\nAnswer: -37467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 - -272. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3)*-2 + -1*sqrt(51)\/sqrt(3) + (sqrt(119)\/((sqrt(7) + sqrt(63) - sqrt(7))*-4 + sqrt(7) + sqrt(7)))**2.\nAnswer: -3*sqrt(17) + 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57874984.\nAnswer: 2, 73, 113, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -201853 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 3*x**4 - 3*x**4 - 4*x**5 - 4*x**5 + 0*x**5 + (1 - 2*x**3 - 1)*(-x**2 + x**2 - 2*x**2) - 43*x**5 + 15*x**5 - 32*x**5.\nAnswer: -65*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*n + 5595 = -0*n, 3*n - 15 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = -5*t + 286, l - 2*t - 161 = 0. Let m = l - 148. Solve -8 = u - m*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4585 (base 13) to base 11.\nAnswer: -1919a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuzrrzuzuuurrrrzr. Give prob of picking 3 z and 1 r.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 2:59 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4941, 9263, 13573, 17871, 22157, 26431?\n\"Answer: -6*c**2 + 4340*c + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010110100111110 (base 2) in base 6?\nAnswer: -1353010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452864?\nAnswer: 2, 3, 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 8*d**2 - 26*d + 86. Let o be a(6). Suppose 27 = p - 5*u, 44 + 42 = 2*p - o*u. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5274725.\nAnswer: 5, 101, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*c - 1104 = 0, -12 = -6*c + 10*c. List the prime factors of i.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**5\/5 + 4*h**4 - 46*h**3\/3 + 28*h**2 - 24*h - 31. Factor x(l).\nAnswer: -2*(l - 3)*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6425788308.\nAnswer: 2, 3, 535482359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 598895389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2531933317 divided by 2.\nAnswer: 2531933317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -353949, -707792, -1061635, -1415478, -1769321?\n\"Answer: -353843*w - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*t - 3, -2*h = -5*t + 19 - 31 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) - (2 + sqrt(300)*-1)) + (sqrt(300) - -3*(sqrt(300) + 0 - sqrt(300))) + 1*4*(sqrt(300) + 1))*-6)**2 + 1.\nAnswer: 10080*sqrt(3) + 529345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 15 - 2*o**2 - 430*o**3 + 12 + 2*o in the form b*o**2 + l*o + y + z*o**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 5*b**2 + b - 8. What is the remainder when 11 is divided by l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -11. Suppose -3*l - j = 3*y, -7 + 17 = -5*l - 2*y. Suppose -m + 6 - 1 = l. Sort m, 1, -1 in descending order.\nAnswer: m, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/96 + -571\/480. Which is the nearest to -1\/5? (a) -1\/3 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -9. Let m be -1 + -4*3\/x. Factor -1\/4*u**2 - 1\/2*u + 0 + 1\/4*u**m.\nAnswer: u*(u - 2)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*i = 11*y - 466*i + 51, 3*i = 15 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732 a factor of 1870933704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*0.036\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120271 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**4\/24 - q**2. Let m(p) be the first derivative of 2*p**3 - 3*p**3 + 20 + 7 + 0*p**3. Determine m(h(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 3*u - 1. Let l(n) = -n**2 - n. Let v(f) = d(f) + 2*l(f). Let o(m) = m**3 + 2*m**2 - m - 2. Let g(x) = o(x) - 5*v(x). Is g(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5277513123 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5115 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-1)\/(-15)). Suppose 0 = 3*a + u*p - 29, 0*a + 17 = -a + 5*p. Suppose 2*y - 10 = a*q - q, y + 3*q - 5 = 0. Solve 5 = 4*d - y*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y - 109. Let o be f(-10). Solve -c - t = 0, 2*t - o = -4*c + 5*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.957125 to two dps.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from zmzmzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 689228716*p**4 + 5*p**2 + 8567910?\nAnswer: 16541489184*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 15\/367957?\nAnswer: 15\/367957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 1445?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204969637 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 43261.54 millimeters?\nAnswer: 43261540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.9 - 3. Let g = -2 - -1. Let j = -14 + 13.5. What is the nearest to g in b, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -18. Suppose 17 = g*c - 7. Solve -c*h = -9*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-11)\/h))**(1\/15) assuming h is positive.\nAnswer: h**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 1145103?\nAnswer: 1145103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.519739 to 1 decimal place.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3930, -3929, -3928, -3927?\nAnswer: -3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -928 + 963 - (3 - -1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739135.\nAnswer: 5, 43, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + z**2 + 12*z. Let n(l) = l**3 - 4*l**3 + 101181*l - 101158*l + 2*l**2. What is 4*n(x) - 7*s(x)?\nAnswer: 2*x**3 + x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**3 + j**2 + 3*j + 2. Let o = -4787 + 4789. Let d(z) = -3*z**3 - 2*z - 2. What is o*r(k) + 3*d(k)?\nAnswer: -k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -59, -76, -87, -92, -91?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 14*b. Determine z, given that 2\/5*z**3 - 1\/5*z + 0*z**4 + 0*z**2 - 1\/5*z**5 + b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -34*m - 1. Let v(l) = 3*l. Determine f(v(o)).\nAnswer: -102*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 29 + 81 = 0. Calculate the remainder when 42 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 47\/72927?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -0.5. Let c = v + -2. Let k = 265 - 263. What is the nearest to 1 in c, -0.5, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, o: 15}. Give prob of sequence ooco.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 953223 is divided by 9827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 12*l - 10*l.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3168181\/540 + -5867. Let m(y) be the third derivative of -20*y**2 - o*y**5 + 1\/1080*y**6 + 0*y**4 + 0*y + 0 + 0*y**3. Solve m(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from erxoddehx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.08683 years to decades.\nAnswer: 1.408683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*n**2 - 5*n + 5*n - 2*n + 44*n**2 - 1 + n**3 as b*n + m*n**3 + a*n**2 + i and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2361 * -4.\nAnswer: -9444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j**4 + 2*j**4 + 3*j**4 - j**2)*(-5 + 1 - 4) in the form l*j**2 + s + y*j**3 + o*j**4 + m*j and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35304941197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 108 = -5*m. Calculate the remainder when 79 is divided by m\/((-2)\/(-2 + 4)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2 and -59\/3670?\nAnswer: 3670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206\/30 - 248\/(-1860).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.07, 1\/3, 12, -1853 in decreasing order.\nAnswer: 12, 1\/3, 0.3, -0.07, -1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 8*n**2 + 9*n - 1. Let w be h(-7). Let v = w + 12. Is (-1336)\/(-2 + -2) + v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - (192\/23)\/(-4))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 9\/6)*0. Suppose f = -2*a - 2*a - 24. Let i(t) = 7*t**2 + 5*t. Let k(o) = -6 - o + 16 - 10 - o**2. What is a*k(v) - i(v)?\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 + 2. Let w be s(-3). Let g = -61 - w. Calculate the remainder when 966\/4 - g\/12 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x**3 - 310*x**2 + 107*x + 159. What is t(-52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53852600 divided by -79900.\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) -6 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 340 or 43199\/127?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 11934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 9*l - 4 - l**3 - 12*l - 2*l**3 in the form d + s*l**3 + t*l**2 + j*l and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39\/10 + 21\/210. Suppose -l*f - 34 = -202. What is the remainder when 125 is divided by f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:42 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*d + 3, 5*d - 4 + 6 = -3*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**3 - 267680*y**2 + 21395200*y - 427776000 = 0.\nAnswer: 40, 66840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 - 1. Let x(r) = r**2 - 4*r**2 + 1 + 2*r**2. Let q(b) = -2 + 0*b**2 - 2*b + 10 - 4 - b**2. Let t be q(-3). Calculate t*h(f) - x(f).\nAnswer: -3*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1454273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -70726088480 take away -5?\nAnswer: -70726088475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Let c be (2\/m)\/((-2)\/(-18)). Suppose r = -2*w + 7, 0 = 2*r - w + c*w - 17. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44103151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 54 = 3*w, -5*v + 85 = -0*w + 4*w. Let n = -175 + 286. Suppose 14*j - n = v*j. What are the prime factors of j?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 7 + 27. Let b be ((-33)\/88 - (-91)\/8) + -5. Suppose -2*h + 6*h + 4*y = 24, t*y - b = 3*h. Solve -h*i = 8 - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294343.6 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 419700*u**6 + 15*u**4 - u**2 - u - 91006 wrt u.\nAnswer: 50364000*u**3 + 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37043 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/2 + 969*x\/2 - 38988.\nAnswer: -3*(x - 171)*(x - 152)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2973646 is divided by 198169?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let s(n) = -179*n**2 - 613. Calculate s(f(g)).\nAnswer: -179*g**2 - 613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2316 (base 10) to base 9.\nAnswer: -3153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**3 + 4*x**2 - x + 16. Let j be h(9). Let i = j - 2243. Suppose -10*s - 932 = -i. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10656868 by -5328434.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*h + 2*b - 6, -2*h + 4*b - 18 = 0. Let d = h + 1. Suppose d*a - 22 = -a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/65*58\/(-203)*(-7)\/(-4)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167408334.\nAnswer: 2, 3, 317, 29339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d - 16. Let w be v(-4). Let a = -301 + 303. Solve w = a*s - 18 + 22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 7)*(p + 2*p**2 - p) - 4*p**2 + 5*p**2 - 3*p**2 + 19*p**2 + 22*p**2 + 2 - 42*p**2 in the form b*p**2 + f + y*p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 8 (b) 16300 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 - -3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 5*p**2 + p - 2. Let d be j(6). Calculate the highest common factor of 60 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 (base 9) in base 7?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/24 + 7*d**5\/6 - 125*d**4\/24 + 10*d**3 - d**2 - 5*d. Let j(l) = 0. Calculate l.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1497.24 * 0.04.\nAnswer: -59.8896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 4996*v + 325680.\nAnswer: 4*(v - 1180)*(v - 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**7\/l)\/l*l)\/((l\/(((l*l**(-5))\/l)\/l))\/l))\/((l\/l**(-2\/3))\/((l*(l\/(l\/(l*l**8)))\/l*l)\/l)))\/(l**(-5\/6)\/l*l**(-2\/9))**(-32) assuming l is positive.\nAnswer: l**(-526\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15775 divided by -5.\nAnswer: 3155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 632126 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20694*m - 2*v + 25 = 20697*m, -3*v - 26 = -3*m + 4 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*d - 3179*d - 192301 - 88918 = 11311 for d.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*d - 60*d + 19*d**2 - 10*d + 19*d**2 wrt d?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 44*n + 119180. Determine d(-368).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-35)*(-330)\/(-66)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2597 and 826906.8908.\nAnswer: 829503.8908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-2227)\/(-262) - (-2 + 9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*o**3 + 4465*o**2 - 12445*o - 3390.\nAnswer: 5*(o - 3)*(o + 226)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.47, 5 in decreasing order.\nAnswer: 5, 3, -1.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 1.85. Let a = w + -0.2. Let c = -218 - -2396\/11. What is the second smallest value in a, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253401 - 1541469 = -222*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -869321, -3477277, -7823869, -13909097, -21732961, -31295461?\n\"Answer: -869318*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17\/29 + -2707\/116. Find the common denominator of h and -17\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*f + 27, 3*m - 2*f - f = 39. Calculate the remainder when 15 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 20. What is the second smallest value in 0.4, -2\/11, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -n - 4*s, -3*s = 2*n - 6*n + 1264. Suppose -8*x + n = 60. Let m = 36 - x. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*y - 3*p = 99*y + 3, 6 = -2*y - 2*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -477*c - 44. Let t be x(-1). Let r = -445 + t. Let k be -1 - 1 - (1 + 0). Are r and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwrw when four letters picked without replacement from rrrrrwrrwrwrwrrrrww.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -20 + (9 - 8) - (-8 - -8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 7:50 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -148, -2, -3, 2 in increasing order.\nAnswer: -148, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 3*q + 0*q)*(q**3 - 5*q**3 + 2*q**3) + (-6*q**3 + 2*q**3 + 2*q**3)*(-5 + 5 - q) to the form w*q**3 + r + b*q + n*q**2 + c*q**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, k: 3, u: 1, z: 4, e: 3, v: 8}. What is prob of picking 1 u, 2 v, and 1 p?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -188 - 244. Let k = -76 + s. Are k and 32 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 170?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.92, -0.05, -36 in increasing order.\nAnswer: -36, -3.92, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 605.46 and 12153394?\nAnswer: 12152788.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 24*f - 1437. Give u(60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)*y)\/y**(-12)*(y\/(y\/(y**(3\/2)*y)))**(-9) assuming y is positive.\nAnswer: y**(-99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2016 = 13*r - 21*r. Suppose -w + r = -61. What are the prime factors of w?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 5. Suppose 14*g - 51 = -3*g. Let y(t) = -t + 11. What is g*y(l) + 7*m(l)?\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v - 2*v - 4*v - 10*v + 23*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7865103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 621.7729579592 and -5.\nAnswer: 616.7729579592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = r, 4*s = -7*r - 584 + 635. Let b(v) be the first derivative of v**4\/4 + v**3\/3 - 15*v**2\/2 - v - 1. What is the tens digit of b(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13529083 is divided by 116630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -8 (c) -752 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -154184.46 plus -0.04?\nAnswer: -154184.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 6:40 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 6. Suppose 4*g - s*g = -75. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12)\/d)\/d**18*((d**(-5)\/d)\/d)**(1\/5) assuming d is positive.\nAnswer: d**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6. Let y(z) = 1. Let c(f) = f + 4. Let w(u) = t*c(u) - 6*y(u). Let d(n) = -1 - n + 10*n - n - 7*n. Calculate -2*d(g) + w(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 + 84 = -o. Let d = 237 + o. Which is the closest to d? (a) -0.04 (b) 1\/3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.024487?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 75710 * 10\nAnswer: 757100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k = -258586419 - 171483581. What is k rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:37 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12.7 * 0.748006\nAnswer: -9.4996762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**5\/20 + 5*f**4\/12 + 19*f**3\/6 + 9*f**2\/2 - 20*f. Is g(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 - 3*r**4 + 4*r**4)*(-1225 + 2376 - 1189) - 5*r**2 + 4*r**4 + 5*r**2.\nAnswer: 80*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 301ba5 + -4?\nAnswer: 301ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134040140 (base 5) to base 13.\nAnswer: -1b2115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 267126, 267144, 267176, 267222, 267282, 267356?\n\"Answer: 7*n**2 - 3*n + 267122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/21*((-833)\/(-105))\/17.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b - 236 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 18a?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-4) - 5\/(5\/(-68)). Are 1 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 2, s: 1, a: 1, j: 1}. Give prob of sequence jo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224763150 by -30.\nAnswer: 7492105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1188 and 1652*(-19)\/(-1368) - 19.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199764, -399437, -599022, -798519, -997928?\nAnswer: -1197249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (4 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6375 + 6602. Suppose 4*c + 226 = 5*n, 4*c - 188 = -2*n - 2*n. Calculate the remainder when x is divided by n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -62. Let f = 56 + n. What is the nearest to -2 in 0, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -2 + 11 + 3*o**4 - 5*o + 197*o**2 - 256*o**2. What is the first derivative of z(r) wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*2)\/sqrt(4))\/(sqrt(40)\/sqrt(4)*-5)*6.\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-20)*9\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56172 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ihfliiifiyiiiiyfbli?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 46.8. Let q = 21.7 - 24. Let l = g + q. What is l rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - 3*i**2 - 5*i**3 + (-i**2 + 2 - 2)*(-3*i + 5 - 5) + 10*i**3 - 13*i**3 + 38*i**3.\nAnswer: 33*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {a: 1, w: 3, p: 9, v: 2, s: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*q, -2*q - 3 = -5. Suppose 0 = 422*x - 34 - 1232. Put 33, x, t in decreasing order.\nAnswer: 33, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z = 16*z - 195 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {x: 4, u: 1, q: 6, t: 7}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -5. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2250 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zszzzszpjqzhpzjjpp. Give prob of sequence zpj.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6730678 - 6827*l - 6730678 - 2*l - 3 + 3 + (-3*l + 5*l - 4*l)*(-4 + 1 + 1) as w*l + c and give w.\nAnswer: -6825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*g + 3*g + 4*o, -2*o = -6. Let v = g + 3. Let h(s) be the third derivative of s**5\/60 + s**4\/24 - s**3\/6 - 3*s**2. What is h(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -7*h**2\/3 + 2015*h\/3 + 2312\/3 = 0.\nAnswer: -8\/7, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 3:42 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02 and -25971357615.\nAnswer: -25971357614.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (8 + -9 - -4). Solve -2*i - u = -13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -19603.\nAnswer: -2\/19603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 118067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*o + 22*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151889?\nAnswer: 67, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j. Let m(b) = 29*b. Let q(f) = -38 + 32 - f**2 - 21 + 14*f. Let o be q(11). Let n(k) = o*m(k) + 34*s(k). Let w(z) = 3*z. Calculate n(w(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 114 - 810 = 0. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 11*b - 6. Let o be z(-12). Suppose -4*c + 9*c = 0. Suppose c = -t - 5, 4*g + o*t + 17 = t. Solve 2*d = 3*q + g*q, 3*q + 16 = -2*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179846\/27 + -6662. Let a = -32\/27 + p. Find the common denominator of a and -13\/214.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/q*(q\/q**(-1\/5))\/q)**(-12) assuming q is positive.\nAnswer: q**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 + 750*q**2 + 5065*q + 8580 = 0. What is q?\nAnswer: -143, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70981, 1, -6346 in descending order.\nAnswer: 70981, 1, -6346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 44. Suppose v*y = 10*y. Suppose 5*p + 5 + y = 0. Put -4, 13, p in ascending order.\nAnswer: -4, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 10 - (0 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51414 + 86835. List the prime factors of u.\nAnswer: 3, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 13. Let n(i) = i + 2. Suppose -7 = -2*f + 9. Calculate the lowest common multiple of n(f) and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14988 > 15351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*n*t**3 - 738*n*t*v**2 + 304955*n*v + 4354*t**3*v**2 + 2*t**3 wrt v.\nAnswer: -1476*n*t + 8708*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6580 = -5*w + 2*w, -s = w - 1318. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 609*n**3*u + 14*n**2*u - 10*n - 4*u wrt n.\nAnswer: 3654*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5520309581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**1*t))**(-25)*(t*(t\/(t**(-2)\/t))\/t)\/t**(-2\/23) assuming t is positive.\nAnswer: t**(94\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 - 2*y + 16 + 24 + (-3*y + 0*y + 4*y)*(2 - 4 + 0) - 4*y + 0*y + 5*y + 3*y - 4*y - y.\nAnswer: -5*y - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6271214137 to the power of 1\/3, to the nearest integer?\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, b: 7, x: 1, z: 1, t: 1}. Give prob of picking 1 x and 2 m.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 123*a + 120*a - 37, 2*m = 2*a + 36 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (2 - (-16)\/(-3))*(-1008)\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {q: 1, w: 1, u: 1, j: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:04 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1700)*1*3*-6)**2*-4.\nAnswer: -79315200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = -81*g - 38. Solve g*s = v + 22, 0*s + s + v - 3 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 789*t**4 - 963 wrt t?\nAnswer: 3156*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 70 (c) 74762\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:25 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34300 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12893 divided by -12893?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 12*n**2 + 307*n - 1747. Calculate y(8).\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.041 less than or equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-1))\/(4\/64*4). Solve -f*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 1368*h**2 + 113468*h - 114840.\nAnswer: 4*(h - 1)*(h + 145)*(h + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.927, 4, -5.2, -0.3, -0.5, -43, 1\/2?\nAnswer: -0.927","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 5 - 23 - g**2 - 18 + 7. Give k(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 4, v: 2}. What is prob of sequence wfv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.416684 days in minutes?\nAnswer: 4920.02496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72\/5 of a meter?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6437, 12874, 19311, 25748, 32185, 38622?\nAnswer: 45059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 746, 749, 752, 755, 758, 761?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - c**3 - 31 + 2*c**3 + 23*c**2 - 10*c + 7*c**2. Is n(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3356.88kg to grams.\nAnswer: 3356880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 75*c - 1845. What is the remainder when 98 is divided by b(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10826493\/2 less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -29*x**3\/3 - 35*x**2\/2 - 23. Find the second derivative of w(s) wrt s.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 11. Suppose 0 = -9*w - 44 - 37. Let m be t(w). Solve 3*s = x + 5 - m, 3 = 3*s + 5*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52\/17 - 243\/85. Let f = -0.2 + -0.8. Let x = -7 - -4. Which is the closest to f? (a) x (b) w (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from {q: 1, z: 4, g: 2, y: 3, v: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**3 + 2*j + 24*j**3 + 20*j**3 + 2*j + 15*j**3 - 99*j**3 + 10*j**3.\nAnswer: -12*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2666 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + sqrt(2057))*-2 + 4*(sqrt(2057) + -1) - 3*((sqrt(68) - sqrt(17)) + -2 + 4))**2.\nAnswer: -380*sqrt(17) + 6241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let a = 0 - g. Suppose a = c - 89. Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1766447 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k - 30. Let d be a(7). Suppose 2*h - d*g - 16 = 424, 4*h - 836 = -g. Calculate the highest common factor of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -341701*a**2 + 1. Let d be n(1). Let z = d + -2158300. What is z rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/14)*v*(v\/((v*v**(-11\/5)\/v*v)\/v))\/v*v**(-1\/20)*(v**(9\/4)\/v)\/v assuming v is positive.\nAnswer: v**(243\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.99842544 to 3 dps.\nAnswer: 6.998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*f = -5*u + 357*f + 82, -f = -4*u + 65. What is the remainder when 46 - (2 + -1)*1 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-84)\/51) - 1. Which is the nearest to 1? (a) -2 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and 5369.\nAnswer: 225498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 14 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-56) - (165\/(-21) - (-12)\/4). Factor -a + 0 + 3\/4*a**3 - a**2 + 1\/2*a**4 - 1\/4*a**n.\nAnswer: -a*(a - 2)**2*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**3\/3 - 67. Let u(g) = -2*g - 23. What is u(z(m))?\nAnswer: -2*m**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Suppose -5 = -3*l - 5*q - 13, -l - 2*q - 4 = f. Suppose l*b + 6*i - 2*i = 0, -5*i - 30 = -b. Solve -2*n - b = -r, n - r + 4*r = 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*l = 0, -5*p + l = 1 - 13. Let u be (-5 + -1 + 4)\/(p\/4). Let t = 0.08 + 4.92. Which is the second smallest value? (a) u (b) t (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -13. Suppose 5*s = -3*p + 2, y*p = 2*s - 13 + 9. Is p less than or equal to 2\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 118*t**2 + 248*t**2 - 49*t - 35*t + 84*t. Let a(i) = 2*i**2. Give a(o(x)).\nAnswer: 267912*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from eetsheheehheshse?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 9*l + 6. Let d be y(6). Let k = 144 + d. Is 40 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10150509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z + 2*o + 47, -4*z + 0 + 18 = 2*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/3326 + 4849\/93128. What is the common denominator of 31\/3360 and j?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 550 and 16.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2 + 675*g - 682. What is l(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 7, q: 3, w: 2, l: 4}. What is prob of picking 1 l and 1 q?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3414 - -17068\/5. Suppose -1 = -p - 2. What is the nearest to o in -4, -3\/5, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.698173 millimeters?\nAnswer: 5698.173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 3. Suppose 2*s - 18 = p - 3*s, 0 = 5*p + 5*s. Let l be p\/2 + (0 - 3\/6). Calculate n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 19*w + 23. Let y be l(18). Solve -o + 10 = -0*c + y*c, c = 5*o - 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4136 = 253*r + 62*r - 50*r + 1959 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -667 + 175?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**3 - 7*a**2 - 21*a - 4. Let c(j) = 14*j**3 + 21*j**2 + 62*j + 11. Determine -4*c(y) - 11*v(y).\nAnswer: -y**3 - 7*y**2 - 17*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1105430079\/22 - 50255280. Let f = 8455 + l. Calculate the common denominator of 0 - (1 + (-93)\/36) and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12556054.\nAnswer: 2, 7, 31, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 8*s + 18. Let l be x(-10). Let b be (24\/(-5))\/l - (-14)\/(-35). Let p be (-6)\/(-12)*(-1)\/b. Is 5 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-12)\/7)\/((-16)\/392)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758880 a multiple of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227*r**2*t**3 + 2*r**2*t + 161*r*t**3 + 20338*r*t**2 + 2*t wrt t.\nAnswer: -1362*r**2 + 966*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/(-7) - 0) + -1. Let k = -364\/1557 + 2\/173. Let i = 0.04 + 2.96. What is the second biggest value in w, i, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-1 - 0)\/(-2). Suppose w = -3*n - 11 + 17. Let g(c) = -7*c**2 + c + 2. Give g(n).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-15.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-75) + 32\/210.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = -21 + 8571. What is the remainder when l is divided by 69?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 142993, 142997, 143003, 143011, 143021, 143033, 143047?\n\"Answer: t**2 + t + 142991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x - 9*x - 7 + x**3 + 1 + 3*x. Let f = 625 - 625. Calculate m(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73698*v**3 - 73697*v**3 + 221 - 221.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43554 divided by -2074?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*r - 8 = 0, 2*n - 692 = -r - 690 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/4 + 1701\/(111 - 30))*(-104)\/6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p**3 - p - 1. Let o(t) = 5428*t**3 - 7*t + 120. Let l(f) = -2*m(f) + o(f). What is the second derivative of l(w) wrt w?\nAnswer: 32676*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/12 + 43*l**3\/6 - 2*l**2 - 7*l. Let f be (-47)\/3 - (-4)\/6. What is the remainder when 127 is divided by q(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*p + 84 = 0, -7*p + 2*p + 58 = 2*m. Suppose 0 = -0*q - 2*q - y + m, 2*y + 52 = 5*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zznnnnnznznnnnzn. Give prob of picking 2 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3)*(-13648403*j + j**3 + 13648403*j + 2256*j**2) in the form t + v*j + i*j**3 + m*j**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9772 is divided by 1952.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 713\/(-92)) + (268\/(-16) - 4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -24788*f - 18251*f + 4286*f - 4. Let g be v(-2). Let y be -20*(g + (-1 - 1)). What is y rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by (-2 - -1)\/(3\/(-99)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 356 = -3*r, -r - 1159 - 252 = -4*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + 4)\/((-6)\/4). Put -1, 0.05, n, -0.3 in decreasing order.\nAnswer: n, 0.05, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2163315 divided by -33?\nAnswer: 65555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.166672457 rounded to five decimal places?\nAnswer: 0.16667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -534 - -536. Let j be 14\/6 - 2\/6. Suppose -j*c - a*l = -4*c + 450, -3*l + 1109 = 5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*f - 13. Let r be -6 - -5 - (0 - f). Differentiate -5*j**3 + 5*j**3 - 3*j**r + 1 wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {c: 11, v: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -28. Suppose -24 = -4*p + t. Calculate the greatest common factor of 88 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35\/(-21))\/(5\/(-6)). Suppose -2*u + 711 = u + n*g, 0 = -2*u + 5*g + 493. Round u to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 4*z**2 + 3*z - 6. Is y(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 629 and 2023?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:05 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2766.14 - 2766. Is 4\/29 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50614864 and 16?\nAnswer: 50614864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r - 4*r - r to h + f*r and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*g + 6, -90*k + 94*k + 9 = -5*g. Calculate the highest common divisor of k and 896.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19015 + 6017. Suppose 8961 = -2*c - 3*k + 33985, 2*c - o = k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/5)\/(44\/110) - 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30788069 to the nearest integer?\nAnswer: 5549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611.251 hours in milliseconds?\nAnswer: 5800503600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1483.9999918 + 1484. Round j to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 985803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131.21031 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 1\/5, -0.8, -166, -1\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 - (-210)\/18. Suppose 0 = 10*d - y*d + 24. Calculate the smallest common multiple of d and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*b - 18, 5*z - 251*b + 9 = -252*b. Suppose 4*k - 265 = -k. Solve z = 51*l - k*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 7*j. Suppose j*d = -d + 7. Suppose 0 = -w - 5*x - 3, 2*w + 3*x = -3*w + d. Solve 5*q - 2*h = h + 32, -20 = -3*q + w*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(-4)*z*z))**(-4\/9))**38 assuming z is positive.\nAnswer: z**(-152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -40, -87, -154, -247, -372, -535, -742?\n\"Answer: -v**3 - v**2 - 23*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82\/25 in 0.336, 10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105219 - 103274 - 22831 = -3244*t + 70368 for t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2599, -2602, -2607, -2614, -2623, -2634, -2647?\n\"Answer: -t**2 - 2598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) - (-4)\/12. Suppose 0*i + 4*i - 4*w + 8 = q, -4*w - 4 = 0. Let f = 2.9 + -3. Which is the smallest value? (a) i (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -611400*f*k - 19102*f - 2 wrt k.\nAnswer: -611400*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 60.\nAnswer: -37\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000011000 (base 2) in base 15?\nAnswer: -1108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/18 + (-2)\/(-6). Suppose s*z = 2, 2*d - 5*d - 5*z = -17. Let w(g) = g**2 - 4*g + 4. Let x be w(d). Let k(b) = -b**3 + 4*b**2 - b - 1. What is k(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8 and (-25)\/(6 - 0\/1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81364.9 centuries to years.\nAnswer: 8136490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -106856?\nAnswer: -106872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l. Let r(c) be the third derivative of c**5\/12 + 5*c**2. Determine r(a(q)).\nAnswer: 125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - -4 - (0 - 1580). Let m(x) = 111*x + 1. Let g be m(1). Let c = w - g. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5883, 5775, 5649, 5499, 5319, 5103, 4845, 4539?\n\"Answer: -m**3 - 3*m**2 - 92*m + 5979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9.6*-363\nAnswer: 3484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 256, 369, 456, 505, 504, 441, 304, 81?\n\"Answer: -2*k**3 - k**2 + 130*k + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -4. Let f(c) be the second derivative of -c**6\/720 - c**5\/30 + c**4\/12 + 389*c**2\/2 - 607*c. Let w(u) be the third derivative of f(u). What is w(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 2:08 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/224 and 121\/24.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i - 55. Let g be (-29 - -13)*2\/(-4). Suppose -q - 140 = -3*q. Calculate the remainder when q is divided by k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o + 1. Suppose 4*j = -4*x + x + 27, -x + 3*j = 4. Is y(x) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (500\/(-300))\/(-1*-10*4\/(-312))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 6\/(-9))*(-5 - -17). Suppose 12*o - 14*o + 1957 = 3*q, -3*q + 3917 = k*o. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**3 - 8*t**2 - t + 3. Let s(z) = 14*z**3 + 23*z**2 + 2*z - 8. Suppose 5*i = 3*b - 43, -22 = -59*i + 62*i + 2*b. Calculate i*j(k) - 3*s(k).\nAnswer: -2*k**3 - 5*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l**5 + 41802*l**4 - 92799*l**3 + 60300*l**2 - 9276*l = 0. What is l?\nAnswer: 0, 2\/9, 1, 1546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 0.374\nAnswer: 0.00748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -5) + (16 - (-2 - -1) - 0)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {n: 2, z: 6, k: 3, u: 2, a: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 + 0.21. Let a = -13 + 12.87. Let f = i - a. Sort 0, f, 5.\nAnswer: 0, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -478*a**3*p**4 + 9*a**3 + a**2 - 28*a*p - p**4 - 11*p**2 - 2*p wrt p.\nAnswer: -5736*a**3*p**2 - 12*p**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21534 (b) 23\/2 (c) -4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141762446097 + 4.\nAnswer: -141762446093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b9603 (base 12) in base 7?\nAnswer: 2035605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from otytotyoo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378186 and 33?\nAnswer: 4160046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 12*s**2 + 4*s + 134. Let w be a(13). Suppose -3*r - w*r = -2720. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 + 110. Let z = l - -29.89. What is the nearest to 0.2 in z, -2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 19, 32?\n\"Answer: 13*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x**2 - 2*x + 9. Let d(h) = 5*h**2 + h - 5. Suppose -2*t - 5*t = 35. Let i(l) = t*d(l) - 3*j(l). Determine i(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 2*l + l + 0*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945336 is divided by 1560?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 133 + -90 - (2 + 42)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15*x**2 - 1. Let n be y(-1). What are the prime factors of 1\/4 + (-156)\/n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-63)*23\/92*6*-154?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -1\/2 (c) 1\/6 (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppptrppppmpxppx. What is prob of picking 1 r and 1 m?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9523910?\nAnswer: 2, 5, 11, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 l when three letters picked without replacement from {l: 7, g: 6}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 + -0.47. Let k = 0.023 + -0.553. Let a = m - k. Round a to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38\/7? (a) -0.4 (b) -0.3 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = -51 + 131 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -66727242?\nAnswer: -66727242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 173*o - 5633. Give c(36).\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -60. What is the first derivative of -f - 27*m**3 + 11 + 22 - 5*m**3 wrt m?\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 10*u)*(-2*u + 3*u - 3*u - 2*u - 4*u + 4*u + (0*u - 4*u + 5*u)*(-1 - 2 + 2) - u + 0*u + 0*u + 0*u + 2*u + 0*u).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 2278\/(-144) - 4\/9\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371 + 3*f - 371.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c9d12 + 6?\nAnswer: 4c9d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19742, 39487, 59232, 78977, 98722?\n\"Answer: 19745*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-3*4\/(-96))\/(1780\/(-8544))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 255, 381, 507?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*u + 47*u - 64 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -995.86 - -996. Let g = 0.3 + -0.6. Let l be (-76)\/266 + (-8)\/(-126). What is the smallest value in l, o, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**21)**(-16\/9)*(b*b**1*b)**2 assuming b is positive.\nAnswer: b**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1114*h**2*v**2*z + 8*h**2*z - 3*h*v**2*z**2 + h*v**2 + 350*h*z**2 + v*z wrt v?\nAnswer: -2228*h**2*z - 6*h*z**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 11:25 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/6)\/((-2)\/(-2382))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1760\/2464*(-35)\/(-1125).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*a + 23, -a - 7 = 2*z - 0. Let x = -1 - 0. Let l = x - z. Which is smaller: l or 2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94916430?\nAnswer: 2, 3, 5, 7, 21523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.448 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 379215704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*u - 2*u = 7, 5*v + 2*u = 14. Let r(g) = g**2 + 8*g - 5. Let k be r(-9). Find f such that -3 + f**k + v - 2*f**2 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.2000064 + 27.2. Round d to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 263*p**2 + 19*p - 46. What are the prime factors of x(2)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 100.4. Let a = u + -11. Let y be -1 - (-26)\/16 - 1. What is the closest to -0.1 in y, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270833 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594 - (-13)\/((-39)\/(-18))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3920 is divided by 459?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095305129 rounded to 3 dps?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12954f (base 16) to base 10.\nAnswer: -1217871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1151 (b) -0.5 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 5*x + 2. Let w be 2\/7 - 99\/(-21). Suppose m = -0*m + 4*u + 25, 0 = -4*m - 5*u - w. Calculate g(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -395 - 88. Let d = -449.1 - b. Round d to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138 * -2.17\nAnswer: 299.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109252 + 329470. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 2 + 11 = 0. What is the lowest common multiple of ((-24)\/16)\/(y\/6) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2523750 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10518621 and -66.\nAnswer: -10518687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 8. Suppose 2*s + 3*s = -5*i + 10, -4 = s + 4*i. Suppose -2*n - s = -10. Solve 6 = -n*v + a, 0 = -v + 5*a + j - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-18 + (8 + -2 - 0) + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4263 + -4259. Let i = 61 - 22. What is the third biggest value in i, p, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -91 (c) 1.1 (d) -39\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1987426.6 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.46376ml in litres?\nAnswer: 0.02346376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -15. Let q = 6 - m. What is the closest to 0 in -0.4, q, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 z when three letters picked without replacement from {v: 4, a: 4, z: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.51 less than 17?\nAnswer: 5.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v + 2*f = 0, 0 = 4*v + 3*f + 20. Let a = v + 9. Solve 5*o - 7 = -n, a = 5*o + 2*n - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19170, 19169, 19166, 19161?\nAnswer: 19154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -141*v**2 - 7*v - 2. Let r(h) = -4*h**2. What is k(r(q))?\nAnswer: -2256*q**4 + 28*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*f + 4 = 3*b, 5*f - 2*b + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2 + 39*s + 3 - 1. Let h be b(1). Suppose k + 43 = 4*x, -4*k + h = 2*x - k. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 5*x)*(-3*x + 3*x + x**2)*(5*x**2 + 0 + 0).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.1. Let o be (-28)\/35 + 52\/90. Which is the nearest to o? (a) z (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 1. Let q be u(-2). Let x = 207483 - 207354. What is the highest common divisor of x and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 3. Let s(a) be the first derivative of a + 3. Let o(h) = -k(h) - 5*s(h). What is the derivative of o(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82.97 - -85. Let k = 0.03 - o. Let i = 1.99999984 + k. What is i rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 1, b: 1}. Give prob of picking 1 b and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = 5*h - 8, 2*h + 339 - 161 = 3*q + 158 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 381555641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkmfkkkuuqquku. What is prob of picking 1 f, 2 k, and 1 q?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(72)\/sqrt(4))\/sqrt(6) - sqrt(24)\/((sqrt(8) + sqrt(200))*-4 - sqrt(8)))**2.\nAnswer: 2028\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10749433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(692\/48 + -14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -551650\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4472919138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -433a37 + -5?\nAnswer: -433a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 + 9 - 9 + (0*s**3 + 2*s**3 - s**3)*(8*s + 31*s - 17*s).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*d - 30, 5*d - 11*f = -14*f + 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/3 + 725*d**3\/3 - 1828*d**2\/3 - 365*d = 0. Calculate d.\nAnswer: -365, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65900 and 400.\nAnswer: 263600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2583 - 2572.63. Let o = 9.97 - j. What is the smallest value in o, 1\/9, -2\/19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*t + 6, x - 3*t - 6 = 2. Solve x = -3*a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.328.\nAnswer: 1.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, s: 2, j: 1, q: 3, k: 2}. Give prob of picking 1 s, 2 k, and 1 j.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - 9)*1\/(-6))\/(30 - (-167550)\/(-5580))?\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/100 and -143\/350.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -207*p - 50. Is d(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01956 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 53 = -2*k + h, 14 = -9*k - 2*h - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1588*c - 77*c**4 - 240 - 1651*c**3 - 808*c**2 - 230*c**2 - 1102*c**2 = 0. Calculate c.\nAnswer: -20, -2, 3\/11, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (307 + 15 - 63)*(-4 - 2 + 3)*(-2*g + 2*g + g**4) + 4 - 4 - 2*g**4 + (g**2 + g**2 - 4*g**2)*(g**2 + g**2 - g**2) - 3 - 5*g**4 + 3.\nAnswer: -786*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-84)\/(-8))\/(-7))\/(3\/(-74)). Let k be (-1 + h\/(-5))\/((-60)\/400). What is the greatest common divisor of k and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 4:31 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 29.2, -0.2, 143, 5 in decreasing order.\nAnswer: 143, 29.2, 8, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 7}. Give prob of picking 3 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 59. Suppose 3*h + h = -3*u + 89, i = -5*h. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 666*v*x**3 + 100*x**3 + 2*x wrt v.\nAnswer: 666*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.005*-51.1662.\nAnswer: -0.255831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:23 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001101101 + -1011001011111?\nAnswer: -10110011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.12201627 - 329\nAnswer: -328.87798373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1527*c - 14340 = -2722*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 632.393 + 8.48.\nAnswer: 640.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 223430?\nAnswer: 223427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 0*m**2 + 0*m - 5*m + 4*m**3 - 2*m**2 + 3*m. Let v(z) = -9*z**3 + 5*z**2 + 5*z. Give -5*r(u) - 2*v(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = -6*o. Suppose -3 = -x - 4*m + 2*m, -4*m - 14 = -o*x. Suppose 3*a + 17 = p - 0*a, -a = x. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 4 + 3*o + 47*o**2 - o - 51*o**2 - 9*o**3 - 6 to the form m*o + t*o**3 + c*o**2 + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*1*sqrt(84))\/(sqrt(24)\/(-5*sqrt(32))).\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285215 and 609.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.2. Which is the closest to -2? (a) s (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 24*l**2 + 7*l - 29. Is f(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 41*p**2 - 26 + 14 + 10 + 7 to the form v*p**2 + q + w*p and give v.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -943*i - 4632 - 6366 + 23181 + 22708 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2454*t**4 - 40*t**2 - 3*t + 46?\nAnswer: 58896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-7 - 92\/(-23))\/3 - (26 - -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48\/19, 1\/3, 133, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(0*b**3 - 2*b**3 + 4*b**3) + 494*b**3 - 7314 + 7314.\nAnswer: 490*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**3 - 5*f**2 - 2*f - 3. Let w(o) = 5*o**3 + 5*o**2 + 2*o + 4. Calculate -4*r(t) - 3*w(t).\nAnswer: t**3 + 5*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let z(v) be the first derivative of -3*v - 3. Suppose 5 = -k + 6*k. Determine k*z(i) + 2*m(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (288\/(-45) - 4\/(-10)). Suppose n*a - a - 9*a = 0. Find the common denominator of -3\/4 and a - (-83)\/(-20) - (-45)\/(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -217, -249, -217, -115, 63?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-135)\/150*(-8)\/9*105705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1373*w - 15710 - 39210 = 0 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 5)*(2*a - 3*a + 2*a) + 40*a + 281 - 154*a - 282 + (-2 + 2 + 2*a)*(2 - 1 + 1) to s + w*a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -110210211111?\nAnswer: -110210212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5049502 rounded to 4 decimal places?\nAnswer: -1.505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-104)\/(-6) + (-4)\/(-6). Let b be (-2)\/(-9) - 176\/(-99). Solve -m + 5*a = -f, -m + 4*a + 18 = -b*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8139, 16277, 24415, 32553, 40691?\nAnswer: 48829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k = 17*k - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -406 - -417. Calculate the remainder when 174 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/36 - (-5494)\/18. Suppose 0 = 3*r - w - 10. Calculate the remainder when r is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u + 1. Let a be d(1). Let x = 515 + -467. Suppose 0 = k - 25*k + x. Solve -5*z = 15, a*z + k = 2*c - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1072\/25 - -27868\/475. Let q be (-4)\/12 + (-1105)\/76. Let p = q + b. What is the common denominator of 15\/16 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 + (-34 + 28 - (-4 + 4)) + (4 - 3)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4903 + -4903.3. What is the fifth smallest value in s, 0.1, -8, 0.5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6704 or 6708?\nAnswer: 6704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*r + 2*a + 424, -448 = -4*r - 4*a. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 times -0.034?\nAnswer: -2.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18232 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 3. Let v be l(-2). Suppose v = u + 4. Is u > -7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s**(-2\/7)*s)**(3\/2)*(s**1\/s)**1\/(s**1)**(-4\/17) assuming s is positive.\nAnswer: s**(-737\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -11 in descending order.\nAnswer: 7, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**25*r)\/(r**(-6\/11)*r))\/((r\/(r*r*r*r*r**6*r))\/(r*r**(26\/7))))**(-2) assuming r is positive.\nAnswer: r**(-6508\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-6 + 7 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 3 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/12)\/(3\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(5) - (sqrt(15)\/sqrt(3) - sqrt(5)))*-6)**2.\nAnswer: 12*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 396. Suppose 19*y + z = 22*y. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -87\/8 and -37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.054 + 0.971. Round x to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/14)\/(((s**33\/s)\/s*s*s)\/s)*s**32*s*s*s*s**(-2\/23)*s assuming s is positive.\nAnswer: s**(1191\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -730714 and 0.\nAnswer: -730714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 12:33 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 times -160?\nAnswer: -195200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6467 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = x - 185, 6*k + 4*x - 200 = 3*k. Let n = 182\/3 - k. Which is the third smallest value? (a) n (b) -80 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 2. Suppose 0 = -0*g - g + 3. Let l(v) = 1 - g - 10 - v - 1. Let r be l(-10). Determine t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66769951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 7) to base 16.\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15864440 and 20?\nAnswer: 15864440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2436 and 1130652?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ete when three letters picked without replacement from xxexextxeb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.374 * -1292.\nAnswer: -483.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4 + 52*c + 5 + 32*c.\nAnswer: 84*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69512, 139023, 208546, 278093, 347676, 417307, 486998, 556761?\n\"Answer: 2*z**3 - 6*z**2 + 69515*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**5 - 2*n**4 - 258254*n**3 + 358687334*n wrt n?\nAnswer: 120*n**3 - 24*n**2 - 1549524*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29851098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than or equal to 278\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103631466 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17990*s + 52654 with respect to s.\nAnswer: 17990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5070760502 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(5\/7)*i*i)\/(i*i*i**1))**(9\/2) assuming i is positive.\nAnswer: i**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 305, 480, 667, 866, 1077, 1300?\nAnswer: 1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 58 = 2. Let i = x - -83. Find the common denominator of 71\/6 and 1\/((-3)\/6) + i\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 - 7.6. Let s = l + 9.6. Let d = s + -1.6. Sort d, 5, 3 in descending order.\nAnswer: 5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 2*s + 6. Let y(o) = -16*o**2 + 11*o - 33. Let k(m) = -22*l(m) - 4*y(m). Let a(r) = 10*r. What is a(k(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakfffkkffgj. Give prob of picking 1 g and 1 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(44) + 2 + sqrt(44))*-1.\nAnswer: -4*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 12:13 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1275\/6*8\/10. Let l = w + -78. Suppose 4*i = 2*g - l, 5*g = 2*i + i + 195. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17090 - 11039. Is 69 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g**2 - 6*g - 46. Calculate c(-4).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**2 - 10*r**2 - 15*r**2 + 29*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:46 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15229 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 470*f - 465*f + 53, -3*f - 23 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7*i**(-8\/7)*i*i**(-12)\/i**(-9) assuming i is positive.\nAnswer: i**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/24209 in -10, -1\/8, -1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131879470?\nAnswer: 2, 5, 23, 37, 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 5)*(-5*w**2 + 3*w**2 + 3*w**2) + 31*w**2 + 33*w**2 - 25*w**2 - 3*w**2 - w**2 + 6*w**2)*(5*w - 3*w + 2*w).\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, 1 f, and 1 g when four letters picked without replacement from {x: 1, s: 3, g: 1, f: 1, z: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 3*l - 2*l**3 + 2*l**2 + 21*l**2 to r*l**3 + d*l + c + m*l**2 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)\/g*g*g**(1\/3)*g)\/((g\/(g**(-4)*g))\/(g\/g**(2\/13))) assuming g is positive.\nAnswer: g**(-77\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/23)*w*w**(-12)*(w**45)**(2\/5))**(-7) assuming w is positive.\nAnswer: w**(-1106\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -13*x + 32*x. Let t be 12*4\/3 + x + -1. Solve -2 = t*o - 15*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 115?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 5*v - 7. Let t be c(-5). Let g = 25 + t. Let z be (1 + -7501)*(-3432)\/g. What is z rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984280 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 0.4017561.\nAnswer: 0.7017561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15046 = -5*r - 4*u, 336*r + 5*u = 339*r - 9035. Are 3010 and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -111*t**5\/4 - 2718*t**4 + 12021*t**3\/4 + 21447*t**2\/2 - 11577*t + 594 = 0. What is t?\nAnswer: -99, -2, 2\/37, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3 - 8) + -29)*1. Sort 1, -5, -3, z in increasing order.\nAnswer: z, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-110))\/((-1)\/(-5)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-374 + 374 + 17*v)*(-3 - 2*v + 3) + 2*v**2 - 4*v + 4*v.\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, -9, -6, -3, 5 in descending order.\nAnswer: 5, 2, -1, -3, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3019282.999994 - 3019291. Let c = 0 - 8. Let s = c - o. Round s to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 177 = -6*l + 12*l - 3*l, -3*n - l + 45 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let p(t) = -6*t. Suppose -2*k = 4*k + 126. Let q(v) = k*n(v) - 4*p(v). Let b be q(3). Solve 0 = -5*o - z - 2, 3*o + 4*z - b = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - x - 2)*(1 - 2 + 3) + 4*x - 4*x + x - 2*x + 2*x - x + (-4 + 2 + 3)*(90*x - 406*x - 118*x).\nAnswer: -436*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = 0, 4*s + 4*n - 26 + 2 = 0. Suppose l - 18 = s*l. Let g(d) = -d**5 - 1. Let y(c) = 8*c**5 - 2*c**4 + 6. Let f(j) = l*g(j) - y(j). Factor f(o).\nAnswer: -2*o**4*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 360 + -144. What is the lowest common multiple of 7 and 23568\/l - (-1)\/(-9)?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4065*m - 25. Let k be n(-13). What is the units digit of (4\/10)\/(152\/k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -395 + 8687\/22. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134542.29*-4.4.\nAnswer: -591986.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2919)\/(-35) - (-6)\/10) + -3. Find the third derivative of -t*l + 81*l - 6*l**2 - 4*l**3 wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1)**(-50)*((q*q**(-1\/4)*q)\/q)\/q**(-10) assuming q is positive.\nAnswer: q**(-357\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 11. Let v(g) = g. Let c be 1\/((-8)\/(-10)) + 6\/(-24). Let q(j) = c*l(j) - v(j). What is q(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 33. Suppose -2*l - 8 = 0, h*y - 2*l - 41 - 12 = 0. Let v be 370\/y + 2\/(-3). Solve 2*g - t + 12 = 0, 3*g - t = -2*g - v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 415\/6. Let r(h) be the second derivative of v*h**3 - 3\/2*h**2 + 0 - 3*h. Give r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 53*a**2 + 4*a - 7. What are the prime factors of b(5)?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*l**2 + 36*l**2 - 76*l**2 - 3*l + 3*l**3 - 6.\nAnswer: 3*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -99*m - 112. Let g be x(-50). Calculate the greatest common divisor of 708 and g.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 2)*(b - 5 + 5) + 9*b + 9 - 9 + (-1 + 1 - 2*b)*(-2 - 2 + 2) + 4*b - 3*b - 2*b in the form k*b + y and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0*s. Suppose -3*w - w - 1932 = s. Let j = -272 - w. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/(18*(-8)\/80).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/238*2597\/1113?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -25, -4, 412, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 3 - (95 + -112).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531675286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-4*5)\/(-4). What is the common denominator of 306\/24 - d\/6 and 41\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -124*f - 405. Determine i(4).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b - b - 4*b)*(2*b**3 + b**3 - 6*b**3) to the form q*b**2 + s*b**3 + a*b + o + j*b**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, 10, -2\/3, -15, -20, -0.1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 313089*r**2 + r - 2*r - 313408*r**2. Let g(f) = -3*f. Give g(y(m)).\nAnswer: 957*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39691712 divided by 9922928.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-2 - 0) - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/24)\/(-2)*3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-137 - (-300 - -137)) + (2 - 33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*k + 4*k - 2*k)*(4 - 5 - 3)*(4 - k - 4) in the form p*k + t + b*k**2 and give b.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 3. Let z be l(4). Let n(x) = -x - 3. Let h be n(z). Solve 8*j = 5*d + 3*j - 15, -h*d - 19 = 3*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/8 + 890*v - 1584200.\nAnswer: -(v - 3560)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 855*134.\nAnswer: 114570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2529636477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 20 = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57935151.\nAnswer: 3, 6437239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 37772 = 3*u - i, -3*i = 3*u + 37740. Is (3 - u\/6) + 12\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000110000111110 (base 2) to base 11\nAnswer: 24a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -v + 3*r + 59, -v = -5*r - 97. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0733 times -0.92\nAnswer: 0.067436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26020, -52032, -78040, -104044?\n\"Answer: 2*r**2 - 26018*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183 and 1647.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/357*15)\/(50\/(-56))*-40\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 333, 864, 1659, 2748, 4161, 5928?\n\"Answer: 5*v**3 + 87*v**2 + v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1591 and 370.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 62*l = 11*l + 2301630. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1648138365 divided by -5\nAnswer: -329627673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 2. Let q(m) = 10*m - 11. Let h(f) = -4*q(f) - 22*s(f). Let z(p) = -38*p**2 + 13*p**2 + 9*p**2 + 9*p**2 + 11*p**2. Determine h(z(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/7 + 7912*i**2\/7 - 15818*i\/7 + 7908\/7 = 0?\nAnswer: 1, 3954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11212 (base 4) to base 16.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*x + 2*x**2 + 1 - 462*x**3 + 10 - 4*x.\nAnswer: -462*x**3 + 2*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -249.9111 and -4.\nAnswer: -253.9111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4039 divided by 2\nAnswer: 4039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -371, 3, -368.\nAnswer: -371, -368, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 15*u**4\/8 - 73*u**3\/6 + 61*u**2. Does 22 divide n(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-16) + 6\/(-4)*518\/(-111)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2.3. Let b = 0.8 - a. Let c = -0.1 + b. Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/5 (b) -2\/85 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -24*x + 36816. List the prime factors of x.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v - 53. What is f(0)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 74 - 106. Sort p, 1, -3 in ascending order.\nAnswer: p, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(125) + 3 + 4 - (sqrt(125) + 3)*5)**2*-2.\nAnswer: -4129 - 640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/10)\/(-6 - 217\/(-35)). Suppose 56 = -5*w + p - u, -w - 17 = 3*p. Which is smaller: -8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/21*(-33)\/(-11)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 11) to base 10\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62145.46 grams to kilograms.\nAnswer: 62.14546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 751560 and 98520?\nAnswer: 617030760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a = 2. Let t = -1 + 6. Let z be t - 0\/(2\/a). Solve 0*s - z = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*36\/(-567))\/(6\/(-21))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 464\/56 - 8 - (-2)\/(-7). Suppose 4*o - 64 = -4*z, 4*z - z + o - 48 = l. What is the remainder when ((-7)\/(-14))\/(1\/188) is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f + 4. Suppose w + 25305 = 4*g, -2*w = -3*w - 5. Let k be ((-3)\/2)\/(g\/572 - 11). Let u(q) = q - 1. Calculate k*u(d) - 6*n(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - 4*k**3 + 6*k**3 + (3 - 3 - k)*((-2*k - k + 2*k)*(2*k - k - 3*k) + k**2 + 2*k**2 - k**2 + k**2 - 3*k**2 + 0*k**2).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**3 + k**2 - 89*k**3 - 2*k**2.\nAnswer: -125*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l + 514*l**3 + 0*l**2 + 961 - l**2 - 959.\nAnswer: 514*l**3 - l**2 + 13*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208800, 417491, 626182, 834873, 1043564?\nAnswer: 1252255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/18)\/((-2)\/(-114))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 215*y**2 - y + 1. Suppose o - 23 = -5*n, 429*n - 2*o - 31 = 428*n. What is the remainder when b(1) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6623617399 to the power of 1\/4, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6483600 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 117 = -4*d + 163, 5*d - z - 350 = 0. Let v(o) = 9*o - 421. Calculate the remainder when d is divided by v(49).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7*p = 80. Let j = -17 + p. Let g(y) = y + 1. What is the units digit of g(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1071, 1069, 1067?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42596, -86663, -130730?\n\"Answer: -44067*g + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18163*c + 16272.\nAnswer: 18163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10222 is divided by 118.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13497*x = 13493*x - k + 26, 3*k + 7 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 896 + -869. Solve -48 = 7*b - a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -32*q**3 - q**2 + 1. Determine f(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3672496 is divided by 125.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2565920 and 10112?\nAnswer: 10263680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3418*m - 110 = -3429*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 619\/4479 or 1?\nAnswer: 619\/4479","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 12949217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(-4*(-3*sqrt(2448)*-1 + 1)*-5)**2.\nAnswer: -264396000 - 864000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009057 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 40 - 3*z**2 - 209 + 271.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y - 58*y = -120. Solve 2*q - 5*l = -5, -5*q + y*l - l = 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369928 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 85, 74, 69, 76?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319035.\nAnswer: 5, 331, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*v + 1073 = v, 4*h + 4*v = 1028. What is the remainder when h is divided by 58?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54140399.\nAnswer: 54140399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(2*sqrt(2)) + (sqrt(104) - (-1*sqrt(104) - sqrt(104)))\/sqrt(8))*2 + -3.\nAnswer: -3 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*d + 30 = -490*d. Let y(a) = 4*a - 6. Determine y(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3728*r**2 - 136*r**3 + 7459*r**2 - r - 3733*r**2)*(r**2 - 3*r**2 - 2*r**2) - r**5 + 0*r**5 + 0*r**5.\nAnswer: 543*r**5 + 8*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9 = -4. Suppose a + 9 - y = 0. What is the third derivative of -a*z**2 - 29*z**6 - 2*z**3 + 41*z**6 + 2*z**3 wrt z?\nAnswer: 1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*j - 74*j + 2760 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 minus -3537648051?\nAnswer: 3537648050.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Suppose 0 = -2*r + 4, 3*l - 15 = -w*r - 3*r. Suppose 22 = 3*f + l*g - 17, 0 = -4*f + 4*g + 36. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384.8 rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3344.0000143 + 3344. Round g to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r. Let d = 1 - 21. Let j(k) = -8*k - 10. Let o(v) = -v - 1. Let n(l) = d*o(l) + 2*j(l). Calculate i(n(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.383749cm to nanometers.\nAnswer: 53837490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/5 and -65\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(195) + sqrt(195) + -2*((sqrt(195) - -1*sqrt(195)) + sqrt(195)) + sqrt(195) + sqrt(195) - sqrt(195))\/sqrt(5))\/(sqrt(27)\/(6*sqrt(36))).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718 + 1396 + 429*j - 678.\nAnswer: 429*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*n**2 - 334*n**2 + 54*n**3.\nAnswer: 54*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 2802\nAnswer: -19614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07893 at least -1.285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-8)*(39 - 47)*1\/(-6). Let w(u) = 6*u + 3. Let a be w(4). Calculate the greatest common factor of k and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 35602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323265443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51.473 in -4.16, 1\/5, -4?\nAnswer: -4.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -254, -805, -1878, -3647, -6286?\nAnswer: -9969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 2)*(-27)\/84*24\/36\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2 - 1 - 3*a - a**2 + 0*a + 0*a**2. Suppose -2*l - 3*l - 11 = -g, 0 = 5*l - 2*g + 7. Let j be u(l). Let f(m) = -6*m**3 - 1. Determine f(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 14*v - 5. Let s = 7 + 6. Let c be z(s). Factor 4 + c + 4*g**2 + 4*g + 12*g.\nAnswer: 4*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 2*j - 3*j + (0*j + 2*j + j)*(0 - 1 + 3) - 3 + 2 - j - 2*j.\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311 + -318. Let n(p) = -2*p - 7. Determine n(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 23*u - 2*i = 4, -3 = -i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*-114.3\nAnswer: -114.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(2\/7)*z\/(z*z*z*z*z**11)*((((z*z**(2\/9)*z)\/z)\/z)\/z)**(-19))**(4\/15))**(-20\/3) assuming z is positive.\nAnswer: z**(-2512\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -1 - (-2064)\/8. Let m = -1\/4391 + -496163\/87820. Calculate the common denominator of m and (j\/(-40) - -2) + 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -15. Suppose 52*u = 14*u + 114. Suppose 5*d + o = 8, -l*d + u*o - 3 + 15 = 0. Solve -2 = 5*f + d*x + 2, -17 = f - 5*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17921920*s**6 - 241*s**2 + 13270?\nAnswer: -2150630400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1198, -2119, -3022, -3901, -4750, -5563, -6334, -7057?\n\"Answer: b**3 + 3*b**2 - 937*b - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28457, -1 in descending order.\nAnswer: 28457, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**3 + 6*g - 6. Suppose -3*t + 21 = 3*h, 3*h - h - t - 11 = 0. Let f be 2\/(8\/4) - 2. Let s(y) = -y**3 + y - 1. What is f*d(j) + h*s(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 6*r**2 - 5*r. Let n be d(-3). Suppose -39 = -2*y - n. Solve 3*x = 6*x + y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22362 (base 15) to base 7.\nAnswer: 632051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -143531, -143536, -143553, -143588, -143647, -143736, -143861?\n\"Answer: -s**3 + 2*s - 143532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (2*sqrt(170) - sqrt(170)) + sqrt(170) + sqrt(170))\/sqrt(10) + 3 + sqrt(17) + -5*(sqrt(17) + 0) + (sqrt(17) - (-2*sqrt(119))\/sqrt(7)) + 3.\nAnswer: 6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -343 + 549. Let q = -206.3 + g. Which is the closest to 2\/3? (a) 0.4 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45139632*d*y - 42686060*y wrt d?\nAnswer: 45139632*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2674626 (base 8) to base 12.\nAnswer: 303246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 25376\nAnswer: -7612.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*h + 23, 3*h + 1 + 11 = 0. Suppose -m + 15 = -z. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 85 + -81 + (-1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*o - 4*q - 29, -q - 4 = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 553379 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 2 (c) 2\/1279585 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -12012?\nAnswer: 12006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2 - 9 = 2*t, 30*t - 14*t = -l - 4*l + 17*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(1*(-4)\/52). Let o be (2\/3)\/(-3 - (-230)\/j). Which is greater: o or -17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30410315 and 2255?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6) + (-172)\/(-258) + (-7 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**2\/2 - 3*a + 2. Let c(m) = 5*m**3 + 10*m**2 + 7*m + 18. Let i be c(-2). Let r be z(i). Is r at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 10913572.\nAnswer: 10913572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.3. Suppose 0 = -0*g - g + 1. Which is the biggest value? (a) g (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*i - 5*w - 150, 4*w + 3 = -i + 8. Solve -i*s = 6*s - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**11\/b)\/b*b*b)\/b)**5*(b*b*b**(-11))**35 assuming b is positive.\nAnswer: b**(-265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 1, d: 1, b: 1, o: 1}. Give prob of sequence zb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479910726?\nAnswer: 2, 47, 241, 109469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 1423, 3208, 5699, 8890?\nAnswer: 12775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620968709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 11*v - 3*v + 6*s + 37 = 0, v - 8869 = 4*s - 8840 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight ninths of a hour in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 810, 812, 814, 816, 818?\n\"Answer: 2*v + 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 - -140. Let j be 3*(51 + z\/(-9)). What is the highest common factor of j and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -23391*s**3 + 1243*s**2 - 1243*s + 1243. Let p(m) = 113*m**3 - 6*m**2 + 6*m - 6. Determine -6*h(c) - 1243*p(c).\nAnswer: -113*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uquuuqquuxmu. What is prob of sequence qqmx?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42218 and 836583?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -37642\/15 and -2508 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5, -6*g + t = -g - 1. Let o = 2132.3 + -2485.3. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2280 or -15969\/7?\nAnswer: -2280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(153)*1 - sqrt(153)) - sqrt(153))\/(sqrt(63)\/sqrt(28)) + 2 + 3*(sqrt(85)*1)\/sqrt(5)*2.\nAnswer: 2 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18.71 * 2873.3\nAnswer: 53759.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/25*15\/2. Let b = -6 - x. What is the second derivative of -4*o**5 - o**5 + 5*o + 0*o**5 + b*o wrt o?\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*a = -103 - 115 - 1168 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 = 2*c - 3*t, -4*c + 32 = -4*t. Suppose 3 = 3*z + 3*d, z + c*d + 1 = -6. Suppose 6*y = z*y + 6. Solve y = -j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/8)\/(1 + 0). Which is the closest to 2\/5? (a) n (b) -0.5 (c) 13.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**2 + 0*d**3 + 0*d - 1\/8*d**4 + 1\/20*d**5 + 0. Find the second derivative of r(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c. Let l(f) be the third derivative of -1\/60*f**5 + 0 + 8*f**2 + 0*f + 0*f**4 + 0*f**3. Give l(d(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1019008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 788 - 804. Which is the nearest to z? (a) -3\/5 (b) -0.4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 365 - -29. List the prime factors of s.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 4. Let o(c) = -7*c - 8. Let z(m) = 6*o(m) + 13*t(m). Let x = -128 + 131. Determine z(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -5, -3\/52, -0.5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5743 = -5*a + 3*a, 0 = 4*z + a - 7650. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 6*p + 5. Let i be m(6). Suppose -2*f - 74 = -i*u, -46 = -4*u + 2*f - 7*f. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -42*i**2 - 5. Let g(x) = -10*x. What is z(g(o))?\nAnswer: -4200*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -2, -1 in descending order.\nAnswer: 10, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 7. Suppose 0 = -5*u - 0*u + 120. Let v = 43 - u. Let k(s) = 15 - v + 0*s + s. Give 3*g(z) + 5*k(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 1\/10, -42, 3\/5, -98, 4, -1\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4 + 6176*p**3 - 8363765*p**2 - 3721967054*p - 7410429624 = 0.\nAnswer: -348, -2, 3263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1117 by -20.\nAnswer: 1117\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2120 - -1239. Let w = l + 17627\/20. What is the common denominator of w and -43\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519509?\nAnswer: 3, 691, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -3 (c) 0.02 (d) -0.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 87. Let z(x) = 616*x - 64. Let b(i) = -56*i + 6. Let p(q) = 32*b(q) + 3*z(q). Give f(p(n)).\nAnswer: -3136*n**2 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127133 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**4\/2 - 21*r**3 + 96*r**2 - 171*r + 189\/2 = 0.\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvvvvuvvvvvv. What is prob of sequence uvu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2922 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-13) - -1*1. Let y be 6551 - (5\/(-1) - (-6)\/l). Suppose -y = -7*u - 1170. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13304 and 138784002.\nAnswer: 3326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 8, q: 2, k: 4}. Give prob of sequence qkv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64810.1 hours to microseconds.\nAnswer: 233316360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:54 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*6*(-5)\/165*-251. Which is greater: -136 or i?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -40. Let x be y\/(-99) + 76\/18. Calculate the highest common factor of 16 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 12. Suppose -q*n - 815 = -3*z, -5*z + 4*n = -991 - 368. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s - 10. List the prime factors of s\/((-10)\/192) + -4.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -168, -276, -378, -474?\n\"Answer: 3*u**2 - 117*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/((-213)\/3550).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 2*n + 1. Let w be f(-2). Suppose 4*k + w*r + 1740 - 6085 = 0, -2*k + 5*r + 2135 = 0. What is k rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -22. Let a(d) = -7*d - 5. Let j(n) = 15*n + 11. What is y*a(t) - 4*j(t)?\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + t - 1)*(146*t + 14*t**2 - 146*t) + t**3 - t**3 + 2*t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -3*a + 1\/4*a**4 - 2*a**3 - 2*a**2 - 3. What is the units digit of h(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/9))**(5\/3)*(q\/(q*q*(q\/(q\/q**(2\/33)))\/q*q))**(2\/27))**(-3\/10) assuming q is positive.\nAnswer: q**(-19\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from rpsr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*j + 2154 = 1419*j - 619*j - 56 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13455569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 - 1815*i**4 + 277218*i**3 - 813594*i**2 - 277221*i + 815409 = 0. What is i?\nAnswer: -1, 1, 3, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 7)*(-6 - 2 - -3). Does 12 divide (-40)\/(1*10\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.37908 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.13, -2, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3236183947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 a, and 2 u when four letters picked without replacement from fufnoanfoaufooefuf?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 150 = 10*j - 2*b, 6 = -6*b + 9*b for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1336 and 835?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -446 - -441. Let o = 4.92 + 0.08. Let n = o - v. Which is smaller: n or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(704) + -4 + sqrt(704) + -1))**2.\nAnswer: -640*sqrt(11) + 11364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 3905*o + 1792*o + 1888*o to the form u*o + g and give u.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(-3 - 2 + 4 + 3*r).\nAnswer: -6*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 18. Let f(n) be the first derivative of -18 + 17*n - 2 - z*n**2 - 3*n. Differentiate f(y) wrt y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -34807745?\nAnswer: 34807745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3966*r + 1188 - 1188.\nAnswer: -3966*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:18 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2 - 24*g - 9*g**3 + 39*g - 4*g**2 - 17*g. Let r(d) = d**3 + 5*d**2 - d + 1. What is the remainder when b(-2) is divided by r(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*v = -107*v + 4*u + 30 + 43, 4*v - 4*u - 76 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-8) - 11\/2. Let g = -6.4 - -6. Let m = -313\/4 - -77. What is the nearest to 2 in w, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**6*z - 2916*x**4*z**3 + 171*x**2*z + 8*x*z**3 wrt x.\nAnswer: 120*x**3*z - 69984*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.527 + -16.527. Let b = 8 - 11. What is the nearest to -73 in -1\/2, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4 = -8*g + 9*g, 4*u = -4*g + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, g: 3}. Give prob of picking 2 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 20*c - 12*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 8. Let o = -107493 + 107493.4. Let x = 0 + -0.1. What is the nearest to x in o, u, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, c: 1}. Give prob of picking 2 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10487 is divided by 74?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10548227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.053284 * 29.7\nAnswer: 1.5825348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 9. Let j = -29 - -49. Suppose -2*m - 1 = 4*t - 39, 0 = t + 4*m - j. Give f(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2090 and 36630?\nAnswer: 695970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 327.90307 times 2?\nAnswer: 655.80614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40488 and 14616?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/5 - 342316*h\/5 - 14647530482\/5 = 0.\nAnswer: -85579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 70. Suppose -r*g + 195 = -5*c, 2*c = c + 4*g - 39. Find the common denominator of -87\/8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrg when three letters picked without replacement from rgrggggrragggra.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3907 + -77741270?\nAnswer: -77745177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 347*b - 3*b**3 - 345*b + 2*b**2 - 3*b**3 in the form z*b**3 + c*b + w + s*b**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 112 + -1411?\nAnswer: -1277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Calculate the greatest common factor of b and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(4 + 2*f - 4) + 5 - f - 5)*(-f**3 + 15*f - 15*f).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**2\/3 + 556*a\/3 - 1064 = 0.\nAnswer: 6, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i - 188 = 13*i. Solve 5*t = a - 10, -i*t - 5*a - 34 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5*(sqrt(275) + 4 + sqrt(275)) - ((sqrt(275) + -2*(sqrt(275) + -4 - sqrt(275)) - sqrt(275)) + sqrt(275))) + -5)**2.\nAnswer: 3630*sqrt(11) + 34361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4988, -9982, -14976?\n\"Answer: -4994*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5848, 5, -9 in descending order.\nAnswer: 5, -9, -5848","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65940373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6735438 + -5.\nAnswer: -6735443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*j + 3*j**5 - 3 + 45*j + j**3)*(1 + 4 + 1).\nAnswer: 18*j**5 + 6*j**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6035a - 451?\nAnswer: 5bb09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/6 + -5\/24. Find the common denominator of i and 37\/6*3\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n. Let o(k) = -22*k. Let b(j) = -11*m(j) - 4*o(j). Let d(c) = c**2. What is d(b(z))?\nAnswer: 121*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1189 = -30*s + 1669 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.28, -0.1.\nAnswer: -19, -0.1, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779151404.\nAnswer: 2, 23, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14266529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21120 + 10?\nAnswer: 21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 9*h**2 - h. Let c(a) = -a**3 + 8*a**2 - 2*a + 1. Let j(u) = -4*c(u) + 3*l(u). Let r be j(4). Is 1\/3 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2547.42 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from mkmfffqkfe?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1173 + 1170. Solve -10*q = -m*q - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5276 divided by 43\nAnswer: 5276\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 189399866216.\nAnswer: -189399866216.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 61551 = -x, -28*z - 4*x + 41020 = -24*z. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/5 (c) 2\/9 (d) 1\/21 (e) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from yfykyfzqzzy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h - 100 = 30. Solve -2*a + a - h*x - 16 = 0, -3*a = 3*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73*w**3 - 387*w**3 + 2513*w**4 + 455*w**2 + 2518*w**4 - 5026*w**4.\nAnswer: 5*w**2*(w - 91)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**4*p + 20*j**3*p**2 - 4*j**2*p**2 + 18*j**2*p + p wrt j?\nAnswer: -144*j*p + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6498 + -6051. Calculate the highest common factor of 149 and z.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6*l - l = 194, 0 = 3*r - 2*l - 480. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 18. What is the units digit of 16\/10*15\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59377313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:02 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -38635604 - -54.8407\nAnswer: -38635549.1593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5 + 2*w - 3*w**2 - 3*w**3 - 6 + 5*w**3. Let l be m(3). Differentiate 46*s - 6 + l*s - 62*s with respect to s.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27816)\/(-1830))\/((2\/3)\/((-25)\/(-15))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*y - 4 - 19, 0 = -3*y - 9. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87.9, 0.3, -3\/8 in descending order.\nAnswer: 87.9, 0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(65))\/sqrt(5).\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/10)\/((-3)\/4). Let h = -6 + 19. Let l = h + -13.4. Put k, 0.2, l in descending order.\nAnswer: k, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2423 + 52?\nAnswer: -2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/6, -0.18, -3\/5, 6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(-11))*(q**(1\/6)*q)\/q*q)\/(q**(-4\/11)*q*q**(-12)\/q) assuming q is positive.\nAnswer: q**(233\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4921695 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/100 and -9\/100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x - 3. Let b be y(5). Round b to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.459 rounded to 1 decimal place?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -657, -635, -613, -591, -569?\n\"Answer: 22*y - 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5544 and 2851156.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**4 - 34500*v**3 - 8489340*v**2 - 560852640*v - 5567486400 = 0.\nAnswer: -114, -12, 7140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - s - 6. Let q be u(-4). Suppose 2*a + 9*r - 8*r - 21 = 0, 5*a - q = 4*r. Solve m = -4*m + a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 9 + 2. Suppose 1724 = -p*t + 11*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 3617600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 - 5*x**2 - 15*x - 8. Let j be l(-4). Calculate the common denominator of -39\/8 and ((-15)\/(-10))\/(j\/188).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -508381, -508282, -508121, -507898, -507613, -507266?\n\"Answer: 31*n**2 + 6*n - 508418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 78185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1744 greater than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3074163 is divided by 157?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 8 + 24 + -14 + 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 4*r**2 + 3*r - 3. What are the prime factors of o(4)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*((5*sqrt(40) - sqrt(40))\/sqrt(8) + 1))**2 + (-5*(4 + 2*sqrt(405) - sqrt(405)))**2).\nAnswer: 5424*sqrt(5) + 31818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67233 + 134465 - 67232 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 - 7*t**2\/2 - 7*t - 5. Let d be w(-5). Find the second derivative of d*p**4 - 5*p**4 + 0*p - 15*p - 12*p**4 wrt p.\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/823 - -62494\/7407. Calculate the common denominator of -42\/11 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1)\/(2\/3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2. Let m be (-2)\/3*12\/8. Let n be j(m). Let l = n - -1. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 65950*f + 197850. Determine p(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 122. Let w be (-281)\/(-9) + (-90)\/405. Let b be u(w). Solve 2 = -2*n - q - b, -5*n + 4*q = -16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -159 (b) 5 (c) 0.1 (d) -2546 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5350 + 58852\/11. Let -4\/11*j**2 + 4\/11 + z*j**3 - 2\/11*j = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 - -37)*(33\/(-40))\/(-11) and -53\/542.\nAnswer: 5420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 674*o + 19. What is y(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 25\/1694, 4 in descending order.\nAnswer: 4, 0.2, 25\/1694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.3, -26, -16.\nAnswer: -26, -16, -0.3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(5\/2)*u**(-5\/2)*(u**(-6))**31 assuming u is positive.\nAnswer: u**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 1488*o**2 + 1697280*o + 722508800.\nAnswer: -4*(o - 668)*(o + 520)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118281600, 118281595, 118281590, 118281585?\n\"Answer: -5*p + 118281605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 7) to base 15\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-620)\/(-10) + (-4)\/8*8. What is the highest common divisor of y and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17014 = -2753*v - 17049 - 96840 - 39783 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89316329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217460648 - -217460677.60000735. Let l = a - 29.6. What is l rounded to seven dps?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 9. Suppose 0 = 5*c + 2*i - 33, 3*c = c + 4*i + 18. Let m = c - f. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {w: 2, y: 1, m: 1, i: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37296 and 40626.\nAnswer: 2275056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -79322 divided by 2333\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51008 is divided by 4636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a62aa + -425?\nAnswer: -2a6724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 3*g - 2*g. Suppose 0 = 19*o - 3527 + 2463. Calculate the highest common divisor of o and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -12*f. Let z(v) be the third derivative of v**4\/12 + 14*v**2. What is z(j(r))?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*a + 80, 4*q + 54 = 7*q - 3*a. Suppose -2*o + 8 = 2*m, 22*o - 4*m - 29 = q*o. Solve 0 = 5*h + 3*z + 9, h + o*z + 15 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -175222*j**2. Let t(v) = -v. What is o(t(s))?\nAnswer: -175222*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17949668\/66*(-9)\/(-21)*(-28)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, h: 5, c: 7}. Give prob of picking 2 c.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2921109 divided by 3\nAnswer: -973703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -29 + 30 + 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v**4\/21 - 80*v**3\/21 + 50*v**2\/21 = 0. What is v?\nAnswer: 0, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146 + (-17)\/(32708\/290672)?\nAnswer: -66\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*c, 5*c = -2*d - 3*d. Let h(g) = g**3 - 2*g + 1. Let w be h(1). Solve 4*m + b + 4*b = w, 2*m - 2*b = c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61.1 - 54. Round l to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from unnununnnbu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kccc when four letters picked without replacement from kmkcmmkkmccmmkkcm?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(3*1*sqrt(209) - sqrt(209)))\/(sqrt(33)\/(1*sqrt(3)) + sqrt(539)*3).\nAnswer: -8*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -486 and 0.427.\nAnswer: -207.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 9:50 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 318, 325, 304, 249, 154, 13?\n\"Answer: -v**3 - 8*v**2 + 38*v + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*q - 3 = 0, -1493*q + 1492*q - 15 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131 + 137. Let m(z) = 2*z**3 - 11*z**2 - 7*z + 9. Let k be m(s). Solve -4*h + 0*h - k*g + 12 = 0, -5*g + 20 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 = 307\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638716895.\nAnswer: 5, 527743379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 155*f - 3453. Give n(28).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvzfjvf. Give prob of picking 1 f and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*y = 66*y + 28, 12*h - y + 0*y + 0*y = -2*y + 152 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10 + 0*z**2 - z**2 + 7*z + 13. Determine l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 take away -981539798173?\nAnswer: 981539798206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -11. Let j = 39 - s. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.6 - -17.8. Let k = r - 28.4. Which is the third smallest value? (a) k (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/17976 and -13\/20972.\nAnswer: 125832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 23 = 4*n. Solve -4*g = -2*i - 18, n = -i + 3*g - 0*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1012?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -119\/3. Does s = 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 284*q - 282. Put 2, q, 0.4, 32 in increasing order.\nAnswer: 0.4, q, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.27.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/30)\/((-8)\/(-12)). Let g = 0.0394 + -0.0394. Let q(p) = 3*p + 4. Let k be q(-3). What is the nearest to g in 0.1, b, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 12\/17 (c) 0.02 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182358453 by -60786151.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**4\/4 - 7*b**3\/3 - 4*b + 2. Suppose 3*g = -2*g + 135. Let m = -34 + g. What is q(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - 3)*(-148)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*r + 22, r + 5*k = -0 + 3. Let t be 246 - 6\/(-9)*-3. Let m = t + -130. Calculate the remainder when m is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9*m = 0. Suppose m = -3*a + 2*i - 264, 2*i - 441 = 5*a - i. Let v = a + 90. Solve v = -g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/2)\/r*r**(-20))\/(((r**(-3\/8)\/r)\/r)\/(r*(r*r*r**(-23))\/r)) assuming r is positive.\nAnswer: r**(-297\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -10\/3*f**3 + 2*f**2 + 21*f + 4\/3*f**4 - 22. Let c(n) be the first derivative of z(n). Suppose c(h) = 0. What is h?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**7\/2520 - 7*q**6\/720 - q**5\/40 - q**4\/24 + 4*q**2. Let m(a) be the second derivative of i(a). Calculate m(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 1. Let q be 10\/45 + (-86)\/(-18). Let g(t) = t - 2. Let l(a) = -1. Let c(v) = g(v) - 3*l(v). Calculate q*y(o) + 4*c(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*k + 20 = 0, v + 5*k + 41 = 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/132)\/(15*32\/24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (8 + -9 - 3)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/16 - (3 - 3). Let u = 8 + -14. Let x = u + 6.3. Which is the third biggest value? (a) -0.1 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.192, 4\/9, 3?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010111111011 (base 2) to base 5.\nAnswer: -302343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 14*c - 103. Suppose c*n = 57*d - 60*d + 749, 0 = -5*n - 2*d + 945. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 0*x + 2 + 1 + (-200 + 148 - 509)*(-x - x + 4*x).\nAnswer: -1123*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 1\/12*p**5 + 0 + 0*p + 0*p**6 + 0*p**3 + p**2 - 1\/168*p**8 + 0*p**4 + 0*p**7. Find the third derivative of t(c) wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -11. Suppose 1 = 2*c - u. Calculate the remainder when (-64)\/(-6) - c\/(-3) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**7\/70 - x**5\/30 - 11*x**4\/6 - x**3\/3 - 9*x**2 + 3. What is the second derivative of p(y) wrt y?\nAnswer: 36*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 at most -422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -6 - -32 - 3 - (-7 + (-2 - 0))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 113*z**4 - 30*z**2 - 56*z**4 + 3*z**3 - 231*z + 255*z - 54*z**4 = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -8. Let p be 2\/4*12\/s. Is p greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 145*z**3\/3 - 15*z**2\/2 + 35*z - 20. What is the remainder when h(3) is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96216 and 2774228.\nAnswer: 16645368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -28736474.\nAnswer: 5172565.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 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: Is 75860983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -626064504?\nAnswer: 626064507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13*17\/(2210\/(-20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 4. Suppose -r + b + 8 = 26, -2*b = r + 27. Is (2 + m)*(-18)\/r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1915, -16741, -57403, -136819, -267907, -463585, -736771, -1100383?\n\"Answer: -2153*n**3 + 245*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 1. Let j(r) = 36*r**2 + 3. Give -j(f) - 3*p(f).\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14688)\/(-119) - (-3)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 4. Suppose 0 = -4*q - q + 5, -4*u + 2*q = -10. Let s be h(u). Do 2 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 3*o**3 + 11 + 47161*o**2 - 47161*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Let o be ((-10)\/60)\/(3\/(-54)). Solve q + 3*a - 6 = s, -o*q + a + 2 = 2*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -11.41. Let h = n - 0.09. Let b be (2\/36)\/((-6)\/(-18)). Put b, h, 0.8 in ascending order.\nAnswer: h, b, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 7*s**2\/2 - 61*s\/4 + 85\/2.\nAnswer: (s - 17)*(s - 2)*(s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1106 + 1558 = 13*s. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5991512334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 22, -1\/261, 0.2 in descending order.\nAnswer: 22, 0.2, -1\/261, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/5 + 27*l**2\/5 - 243*l\/5 + 81.\nAnswer: 3*(l - 3)**2*(l + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*a - 81, 0*a - 1 = -a. Suppose 0 = -5*b + 1 + 4. Suppose -2*l + 5*v + 16 = b, -2*l + 24 = 4*v. What is the remainder when h is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 2\/15, -2, 130, -4 in descending order.\nAnswer: 130, 2\/15, -1.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182815539 to the nearest integer?\nAnswer: 13521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.108 and 0.01.\nAnswer: 0.01108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (12 + 3 + -18 - (7 - 56 - 9))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 12\/2351?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**3 + 4*y**2 - 4*y - 1. Let g(r) = -r**3 + r**2 - r. Suppose -2*j + 5*l = 2*l - 27, -5*j - l + 25 = 0. Let o = -5 + j. What is o*q(c) - 4*g(c)?\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-13980652.\nAnswer: 2796130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 > -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1314 + -2411?\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16563589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*z + 156, 6*f - 5051 = 5*z - 5255 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58180192 to the nearest integer?\nAnswer: 7628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*q - 15, -3*u - u = 2*q - 6. Let y be (-10)\/u*(-6)\/15. Suppose -55 = -y*r - 3*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28970515661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2. Let h(a) = 7*a + 5 - 10*a - 9*a. Let q(k) = 17*k - 7. Let d(o) = 7*h(o) + 5*q(o). Give d(j(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.98*55.1878\nAnswer: -219.647444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -18*h**2 - 108*h - 5. Let w be n(-6). Let p(g) = -g - 5. Let v(b) = -b - 3. Give w*p(x) + 7*v(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*v - 73, 0*v + 4*v = 4*z - 268. Let p = -67 + z. Let q be p - 1\/1*-4. Which is the nearest to 14\/9? (a) -3 (b) 2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {q: 1, v: 2, b: 2, m: 1, t: 2, r: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68357477*w**2 + 2*w + 46541084 wrt w?\nAnswer: -136714954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -275\/4 - -70. Let p = 31 - 157\/5. What is the biggest value in x, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 267 - 240864?\nAnswer: -240586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6565000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**2 + 12*n - 12*n)*(-5 + 3 + 5)*(3 + 1 - 6) as l*n**2 + s*n + a and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -4. Suppose 0 = -5*n + 4 - 29. Sort n, h, -1 in ascending order.\nAnswer: n, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 - 132.947. Let o = k - -0.347. Let q = 1\/95 + -39\/95. Which is the second biggest value? (a) 2 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002825286 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3127046127.\nAnswer: 3, 1042348709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -2*d. Let f be -3 + 3 - 0 - d. Let h(p) = 2*p**2 - 3*p - 3. Determine h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 4, z: 3, h: 3}. What is prob of sequence rr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-2*l + 7*l - 3*l) + 2 + 5*l - 3*l - 3*l.\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12 + 27 + 0 + -2. Let u = 10 - f. Put -4, u, 1 in descending order.\nAnswer: 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 2*n + 0*n + (0 - 1 + 0)*(n + n - 3*n) + (2 + 1 - 1)*(-26*n - 37*n - 15*n).\nAnswer: -157*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(84\/18) - (-299)\/2. Let v = g + -114. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-1 + 4 - 2)*(23907 - 23907 + 388*g**3).\nAnswer: -776*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80\/180 + (-58)\/9 - -2802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -542 (c) 0.4 (d) -237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821534585.\nAnswer: 5, 23, 59, 121081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2\/11, -1.521, -0.3, 0.1, -676, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 13*b = 40. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/32)\/(2187\/972*(-4)\/(-1))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 147*t - 178. What are the prime factors of n(3)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 7*j**2 - j - 4. Let i be k(-7). Solve -i*t + 0*t = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 233.797 and -935283.\nAnswer: -935049.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x - 6 = 0. Find the common denominator of (-352)\/280 - (-4)\/10 and x\/8*440\/16.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 539857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 - 532660*z - 1065328 = 0 for z.\nAnswer: -2, 266332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from iiqavorv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-14616)\/(-140))\/((-246)\/40) - -17).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 17. What is the tens digit of r(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168617.\nAnswer: 168617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1343.\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*t**2 - 103*t**2 - 3 - 129*t**2 + 224*t**2 to c*t + k*t**2 + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -f01c (base 16) to base 5\nAnswer: -3431333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = 5*k + 4253 - 4206, 0 = 4*k - 2*w + 30 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 462*q - 20628\/5.\nAnswer: -2*(q - 1146)*(q - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 676.149188 to 1 decimal place.\nAnswer: 676.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b. Suppose 0*q + 162 = -9*q. Let c be (4\/(-3))\/(12\/q). Let g(a) = 4*a**2 + 0*a**2 - c*a**2 + 0*a**2. What is g(r(n))?\nAnswer: 392*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.996841 litres in millilitres?\nAnswer: 6996.841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/39085 and -133\/6.\nAnswer: 234510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30809910 divided by 43702\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - 4*o + 110*o - 113*o + o**4 - 5 to r + h*o**4 + u*o + j*o**3 + n*o**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362*j + 364*j = 38578. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -16. What are the prime factors of (-16 - -3)\/(-1)*c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -674131*x**4 + 2*x**2 + 1503756 wrt x?\nAnswer: -2696524*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2340568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2672*s**2 + 5 - 15*s**3 + 0 - 2671*s**2 in the form y*s**2 + x + c*s + f*s**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.01, -2, -8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 9:36 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-16)*k)\/k*k**(2\/11))\/((k*k**(-1\/4))\/(((k\/((k\/(k**(3\/8)\/k)*k)\/k))\/k)\/k)) assuming k is positive.\nAnswer: k**(-1601\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23317 is divided by 148.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3492 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 56 = -44. Solve -s*a = 3*v - 34, -v + 2*a - 7 = -0*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -2 - (-5 + -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.166 - -0.066. Let h = 1.1 + w. Which is the smallest value? (a) -0.5 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-70 - 1) + (35154\/(-162) - -205)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 8*w**2 - 8*w - 59. Let p be a(-8). Let m be (-1)\/p - (-393360022)\/110. Round m to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -17*w - 1040. Calculate b(-19).\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/21 - (-1)\/((-6)\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.22, 9, 1\/4 in decreasing order.\nAnswer: 9, 1.22, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8 + -4. Let i = 0.3 + -0.5. Let b = i + y. What is the biggest value in -0.3, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 2*o - 81. Suppose 5*g + o + 98 = 0. Let m = 80 + g. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3*(2 - 2). Suppose -4*k = 2*m, -2*m - k = -y*m. Suppose 5*b + 2*n + n - 8 = m, 0 = b + 2*n - 3. Solve 3*d = 10 - b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33047232 by -4.\nAnswer: 8261808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2649975 and 6314550?\nAnswer: 6675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 11:52 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**8\/168 - n**7\/45 + n**6\/36 - n**5\/90 + 2*n**2 - 4. Let i(b) be the second derivative of c(b). Factor i(o).\nAnswer: 2*o**2*(o - 1)**2*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 43, 76, 109, 136, 151, 148?\n\"Answer: -f**3 + 9*f**2 + 7*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12137924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.028 - 67. Let u = s - -22.972. Which is the second biggest value? (a) -0.3 (b) -1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*k - 32*k = -3*k + 28*k - 2688 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*k**5*n**2 - k**5 - 3*k**2*n - 63*n**2 wrt k.\nAnswer: 4560*k**2*n**2 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1237 + 1875. What is the remainder when m is divided by 90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a3c8 (base 13) to base 11\nAnswer: -74427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 994759 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 22. Let v = -87 - -182. Suppose -3*u = 4*q - 61, 4*u + 4*q = v - i. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1336 to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 1\/3*j**4 - 35*j - 2*j**2 - 8\/3*j**3 + 0 + 1\/120*j**6 + 7\/60*j**5. Let k(c) = 0. Calculate c.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17854 = 199*a + 24023 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9722 (b) -0.001 (c) -98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.7 - 4.7. Let q = 1 + -1. Let g = q - 0.1. What is the nearest to g in 1, h, 3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 - -1)*1\/((-10)\/(-188))?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.4 - 32. Put k, -0.3, -2 in increasing order.\nAnswer: -2, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097720701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 69. Let q be u(25). Solve 24 = -4*s + 5*r, -q = 5*s - r + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213224 times -559?\nAnswer: 119192216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Suppose -f*q + 3*q = -8. Suppose -q*m = -1 + 5. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u*(u\/(u**(-3\/4)\/u))\/u))*u*u\/(u*u**(-1\/6))*u)\/(u**(1\/2)*u**4\/u))**47)**(-27) assuming u is positive.\nAnswer: u**(-7191\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000959 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*m + y + y, 4*y = 2*m - 14. Differentiate 8*g**2 + 8*g - 8*g - 2*g**2 - m with respect to g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5309 is divided by 73?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 6\/101, 0, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 less than -485\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10841, -10833, -10813, -10775, -10713?\n\"Answer: k**3 + k - 10843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 135 + 21 = -x, 3*s + 2*x = -156. Let j = -37 - s. Calculate the lowest common multiple of j and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1004158, 1004179, 1004200?\nAnswer: 1004221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 20 - 42 - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*z**2 + 9*z**2 - 12*z**2)*(-3 - 1 + 5 + (4 - 4 - 1)*(-4 + 5 + 0) + 2 - 3 + 3) to the form o*z + x*z**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*c - 7 = 9, 12 = -3*j + 2*c. Let p be (1\/(-2))\/(j\/8). Calculate the highest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29, -3 in descending order.\nAnswer: 1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.5 - 11508.\nAnswer: -11560.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 1564\/(-161))\/((-27)\/(-21))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 + -200.9. Let z = -1.35 + -0.35. Let q = z - 0.3. Which is the closest to 1? (a) q (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/21 + 1 - 2204\/10353.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*t + 9*t - 16*t + 11*t**3)*(2 - 3 - 1) as s*t**3 + d*t**2 + a*t + r and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 3*v**2 + 4. Let o(q) = q**3 + 3*q**2 - q - 3. Let g be o(-3). Suppose -s + 2 + 1 = g. Determine i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 3*u - 13. What is r(9)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(56))\/sqrt(8) + 3 + 4.\nAnswer: -3*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*r**5 - 41*r**2 + 18124*r.\nAnswer: 1660*r**3 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-3)\/(-6))*68. Let h be (-102)\/(-119)*7*4. Suppose -8*d + h = -n. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 - -0.03. Let t = 107.45 + x. Let h = t - 98. Round h to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56449 is divided by 236.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -309399442*m - 436434739?\nAnswer: -309399442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12291, -12125, -11847, -11457, -10955, -10341, -9615?\nAnswer: -8777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 11*l + 22. Let d be n(-9). Let a = -9 - -13. Suppose a*h = j - 9, 2*j + h = 3*j. Sort j, 1\/2, d in decreasing order.\nAnswer: d, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 1411.18.\nAnswer: -18345.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 10. Let a(x) = 12*x - 8*x**2 - 8 - c*x + x**3 + 4*x**2. Calculate the remainder when 122 is divided by a(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 317107 and 3738.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16029690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -3, -7, -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - ((-48)\/(-15) - (-3)\/(-15)). Is (680 + -3 - a) + 0 + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -17. Calculate the remainder when 38 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -238.963 to 1 dp.\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2 - 6. Suppose 0 = n*q + 14 - 82. Let y = -1 + q. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 404*m**2 - 12*m - 13. Let l be u(-1). Let r = l - 403. Factor -4\/3*z + z**4 + 5\/3*z**3 + r - 4\/3*z**2.\nAnswer: z*(z - 1)*(z + 2)*(3*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*y = 26, 1 = 5*y - 19. Let p(o) = o - 5. Let t be p(f). Let b = t + 7. Calculate the lowest common multiple of 10 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -5*r + 128, -3*j = 5*r + 34 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 34*y**3 + y**2 - y. Let m(v) = -34*v**3 - 2*v**2 + v. Let c(b) = -3*m(b) - 4*w(b). What is the units digit of c(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcymmmkkdcvccyc. What is prob of sequence yyvd?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 0.22335\nAnswer: -0.0067005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 9485?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.31 and -129.673.\nAnswer: -40.19863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/8)*n)**(-1\/18)\/((n*n**(-2\/3))\/(n**(2\/23)\/n*n)) assuming n is positive.\nAnswer: n**(-1207\/3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*i*r**2 + 21*a*i*r + 91*a*r**2 + 2*a*r - a - 2*i*r**2 - 3*i*r - 5*i - 10*r**2 + 8*r wrt r.\nAnswer: 2*a*i + 182*a - 4*i - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 4:38 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4095.248nm to kilometers.\nAnswer: 0.000000004095248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -16661.37\nAnswer: -166613.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -113, -4 in ascending order.\nAnswer: -113, -21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 277 - 272. Suppose -2*a = 4*z - j*a - 1589, 0 = 5*z + a - 2010. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101900364 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16461528 to the nearest integer?\nAnswer: 4057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20188*g - 1017679 + 1017679.\nAnswer: -20188*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 117658*i + 6477240.\nAnswer: -2*(i - 55)*(i + 58884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 + 6*q**2 - 6*q + 1. Let c = -7 - -33. Suppose -3*l + 5*l = -c. Let b(i) = 9*i**3 - 13*i**2 + 13*i - 2. Determine l*n(t) - 6*b(t).\nAnswer: -2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**10)*k)\/k**(-2\/15))**37 assuming k is positive.\nAnswer: k**(-4921\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 301 = -49. Suppose -4*j + 5 - 1 = 0. Calculate the remainder when 30 is divided by s\/8 - j\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.064 + -33.936. Let v = x + 30.1. Let o = v - -3.919. What is o rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*d - 10*o, 23*d + 57 = 13*d - 3*d - 5*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20392988 and 616.\nAnswer: 40785976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 9. Suppose -f + 15 = h*f. Which is the smallest value? (a) -0.4 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miiiiiiiimimiiiiii. What is prob of sequence iii?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**8\/56 - s**7\/15 - s**6\/5 + 16*s**5\/15 - 16*s**3\/3 - 2*s**2 + 68*s. Let p(x) = 0. What is x?\nAnswer: -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, v: 3, p: 10, m: 4}. What is prob of sequence vm?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14)**(-1\/15) assuming x is positive.\nAnswer: x**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 2*t - 5. Let g be m(-4). Let f(c) be the second derivative of 3*c + 0 + 0*c**4 - 1\/24*c**g + 0*c**2 + 1\/80*c**5. Factor f(b).\nAnswer: b*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 110. Determine o(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221114 (base 5) to base 13.\nAnswer: -3642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0*l**3 - 1\/20*l**5 + 0*l**6 - 6*l**2 + 0*l**4 + 0*l + 0*l**7 + 0 + 1\/56*l**8. What is the third derivative of h(q) wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*o = 71*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:57 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:42 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -706.7 rounded to the nearest ten?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 + 98 + 50 + (1 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + y - 5*y, -3*p - 4 = 2*y. Let z(t) be the second derivative of -1\/2*t**2 - 5*t - 1\/6*t**3 + 0. Calculate z(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/4 + r**3\/3 + r**2 + 20*r. Let x(o) = 4*o**2 + 3*o + 2. Suppose -2001 = 2*h - 1997. Give h*x(t) + 3*n(t).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -823*w**5 + 29245*w**3 - 1060879*w + 14.\nAnswer: -16460*w**3 + 175470*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 370574 (base 11) in base 6?\nAnswer: 20322250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*g - 308, 392 = 5*v - g - g. Let o = -1909\/84 + 162\/7. Find the common denominator of (-2)\/v*(-950)\/4 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16*20)\/(2625\/2100) is divided by 117.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 4. Let t be 38\/6 + 1\/(-3). Suppose -t + 2 = -2*a. Suppose a*c + 15 = -c. Calculate o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -166403155?\nAnswer: -166403157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 16) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a meter in centimeters?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*l + 22, 4*l - 8 = 4*r - 0. Let c = 8 - l. Differentiate 2*h**c + 7*h**4 - 6*h**4 - 2 + 3 with respect to h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**2 - 3*s. Let q be (6\/(-4))\/((-2)\/4). Let k(j) = 8*j**2 + 3*j. Let x(d) = q*k(d) + 4*t(d). Find the second derivative of x(c) wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-16*l + 15*l - 8*l).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 23*i**2 + 277*i + 257. Give k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -425*f**2 + 1670*f + 118. Determine z(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 464*b - 468*b + 121, 3*b = 5*r + 117. Put r, -2\/7, -5 in descending order.\nAnswer: -2\/7, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 8*b**2 + 8*b + 9. Let u be g(-7). What is the tens digit of u\/(-3*4\/(-192))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675923.2 litres to millilitres.\nAnswer: 675923200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1681 (base 9) to base 12.\nAnswer: 8b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-15)*2\/(-14)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -12*x**2 - 12*x + 6. Let g(j) = -5*j - j - 408*j**2 + 3 + 403*j**2. Let z(k) = -7*g(k) + 3*o(k). Calculate z(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-4))\/((-330)\/14300*-65).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*k + 8 + 2, 0 = k - 3. Let v = -53\/7 + h. Let j(x) = -x + 6. Let f be j(3). Which is the nearest to v? (a) 0 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from sbbktbtbts?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 3, -9\/67 in descending order.\nAnswer: 25, 3, -9\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*v + 521*v = 2278430. Calculate the highest common factor of v and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:39 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18980763?\nAnswer: 3, 89, 71089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2\/11, -3\/7, -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 217*m - 24666. What is a(-84)?\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-15))\/u)**(-20\/11)*u**(2\/23)\/u**(2\/53) assuming u is positive.\nAnswer: u**(-365040\/13409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 30. Let y be x(20). Suppose -3*m - 7 = -2*z, -m - m - y = -4*z. Suppose z*i = o - 83, 0 = -3*o - 0*o - 4*i + 249. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 4*k, -4*b - 4*k = -56. Calculate the least common multiple of 8 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26147 less than -496804\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*t - 56993391*b - 228532906*t wrt b?\nAnswer: 2*t - 56993391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 2. Let b = -1.046 - 3.954. What is the fourth biggest value in b, 2\/9, z, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -55*y**4\/24 + 4*y**3 - 30*y**2 - 52. Let v(l) be the second derivative of c(l). Find the first derivative of v(q) wrt q.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -65. Suppose -5*p + 158 - a = 0. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -7 - (-1 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1768 = -5*l - 258. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, -11, 3, 4 in descending order.\nAnswer: 4, 3, 2, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57821 is divided by 470.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1 = -4*d, 5*b = -5*d + 6*b - 4. Let s = 21.724 + -16.724. Put 8, d, s in descending order.\nAnswer: 8, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.075831 millennia to months.\nAnswer: 36909.972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stsstttsstst. What is prob of picking 2 s and 2 t?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-4) - (-1)\/4. Suppose 2*f = -r + 5, 2*r = 5*f - 2 - 6. Find the second derivative of -d - d**2 + t*d**2 - f*d**2 - d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*z + 6*b - 2*b, -4*z + 28 = 5*b. Suppose -5*w + 5 = -5. Calculate the remainder when 6 + w*1\/z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21555026?\nAnswer: 2, 3259, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 3*c**4\/28 + 6*c**3\/7 + 12*c**2\/7 + 167. Find f, given that v(f) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*60\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/1303 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-4)*((h*h**1*h)\/h)\/h*((h**(2\/9)*h)\/h)**(-26))**29 assuming h is positive.\nAnswer: h**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*15\/27 - (-45)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -780 - 1630. Suppose a*k - 474*k = -8. Let j(v) = 17*v**3 - v**2 - v. Calculate j(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 10*v**2 - v + 41. Let y be j(-11). Let r = -67 - y. Sort 11, 3, r in ascending order.\nAnswer: r, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -114.2. Let w(t) = t**3 + 10*t**2 + 9*t + 4. Let u be w(-9). What is the nearest to 1 in a, u, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13527 divided by -167\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 8 + 10 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 1b?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26990 at least 26991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 25*k**2 - 4986*k - 113065. Determine q(220).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 22. Let l be p(-17). Let s(a) = a**2 - 5*a - 4. What is s(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.42282l in millilitres?\nAnswer: 92422.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = -0*y - o, -2*y + 2*o + 4 = 0. Suppose -l + 129 = 4*l + 2*r, 0 = y*l + 5*r - 66. Calculate the greatest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.3, 2\/19, -38, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -52 + 18 + 34 - 11*v. Let m(z) = -2*z. Give m(b(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 1 v when three letters picked without replacement from ozozovhov?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5. Suppose l - 4 + 0 = s. Solve -5*y - 6 = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3626 and 4514.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220950 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26719 = g + 7374. Suppose -15*f + g - 329845 = 0. What is f rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -102 (b) -2\/5 (c) 1 (d) 4 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z + 60*z = 60. Let f(s) = 3*s + 32. Let v be f(-11). What is the smallest value in v, -2, 0.15, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/4)\/(n\/(n*n*n*n**34)) assuming n is positive.\nAnswer: n**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 5*u + 2077 - 2024, 3*u = -2*j + 25 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -416437 or -416457?\nAnswer: -416457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 - -82. Let g = -45.9 - x. Let b = 370069\/117 + -3163. Which is smaller: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 4*m + 6*m + 3*m - 4*m + 4*m - m + m + m + (4 + 2*m - 4)*(-1 + 5 - 5) + 15*m + 35 - 35 + 2*m - 4*m + 4*m to t*m + r and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, -84, -270, -530, -864?\nAnswer: -1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254499654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -535 - -583. What is the remainder when 56 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 + 363*w - 364. Let k be x(1). Let i(h) be the third derivative of h**5\/60 + 5*h**4\/24 - h**3\/3 - h**2. Calculate i(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w**2 - 2*w + 1. Let x be k(3). Suppose -x*v - 8 + 12 = 0. Let h = v + 25. What is the remainder when 103 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7942 or -0.1?\nAnswer: -7942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 145 = y - w, 3*y - 4*w = 99. Let x = 1448 + -1431. Let t = y - x. Calculate the highest common divisor of t and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t\/t**(-1\/25))\/t*t*((t**(-34)\/t)\/t)\/t*(t\/t**37)\/((t\/(t**(9\/7)*t*t)*t)\/t) assuming t is positive.\nAnswer: t**(-12018\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 - 19652994*j\/7 - 32186681097003\/7.\nAnswer: -3*(j + 3275499)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 19*p**7\/840 - p**4\/24 - 3*p**3 - 7*p**2. Let o(a) be the first derivative of r(a). What is the derivative of o(k) wrt k?\nAnswer: 57*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1467518.68 - -2979.32. Let l = n + -1470494.900015. Let z = l + -3.1. Round z to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 432 = -2*t. Let v = -6451\/10 + 647. Find the common denominator of (-195)\/t + (-2)\/(-9) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:53 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/381156 and 49\/5835?\nAnswer: 741348420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-20 - (-3 + -17))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.298563 years?\nAnswer: 0.7298563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 500761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 2. Let a be (4 + -3)*(-4 - 0). Let k(j) = -2*j - 2. What is a*c(s) - 3*k(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7873343?\nAnswer: 43, 283, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43360 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183 - 170. Suppose -5*s - d - b = -130, -s = 3*d - 29. What is the highest common factor of 299 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12385.\nAnswer: 5, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112111112 + -2?\nAnswer: -1112111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*d = 16 + 7, 2*d + 2 = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -245\nAnswer: -17.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613341?\nAnswer: 1129, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3824, -1, 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + (-50)\/10)\/((-10)\/4). Which is the second biggest value? (a) 0.19 (b) 0.1 (c) 2\/9 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18324627.3 seconds to weeks.\nAnswer: 30.29865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s - 1480 = 4*v, -5*s + 1844 = v. Suppose 0 = -3*j + 12*j - s. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p - 12. Let h be x(-6). Suppose -5*y + 3*y + h = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**3 - 6*x**2 + 5*x - 7. Let i be k(-5). Suppose 4*w = -i + 71. What is w rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*(o**(-18)\/o)\/o*o*o)\/(o**(-3\/4)\/o))\/(o**(2\/11)\/o)**(-27))**(-32) assuming o is positive.\nAnswer: o**(12792\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.103 (b) 0 (c) -0.5 (d) -1 (e) -101\/2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 bigger than -43.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3617728, -3617729, -3617730, -3617731?\n\"Answer: -l - 3617727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, -5.399, -28, 0?\nAnswer: -5.399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + -3 + (-249)\/(-51). Let u be (46 - 41) + (-126)\/24. What is the second smallest value in u, -0.11, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -13*u - 20. Let a = -11 + u. Let w be 62\/8 - a\/24. Solve 0 = -2*n + 3*t - 17, t + w = -5*n - 3*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176445.5ng in grams?\nAnswer: 0.0001764455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + o**2 + 4*o - 7*o. List the prime factors of m(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 34\/(-8)) + -3. Suppose 0 = 4*g + 7 - 3. Is b greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g**2 - 15*g**2 + 5 + 3*g**2 + 72*g)*(-5*g + 5*g - g).\nAnswer: -2*g**3 - 72*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 8\/5 (c) -0.3 (d) -6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 662 and 2.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-4\/3)*m*m**20 assuming m is positive.\nAnswer: m**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 14 - 10 - -1) + -13 + 2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i - 9*i + 24*i**2 - 2*i**4 - 5*i**3 + 20*i + 3*i**3 in the form k + a*i**2 + t*i**3 + j*i + n*i**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 2 + 1)*(-4*x - 2*x + 4*x) + 2*x + 2 - 2)*(-201*x**2 - 4245*x**2 + 36*x**2 - 1668*x**2 - 6422*x**2) as j*x**2 + c*x + t + g*x**3 and give g.\nAnswer: -75000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20434994 divided by 4738\nAnswer: -4313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*x**5 + 1134*x**4 - x**3 - 8*x**2 - 121409*x wrt x?\nAnswer: 480*x**2 + 27216*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*-2*140\/630*-1?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(1*sqrt(24)\/sqrt(2)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 1, o: 4, a: 2, w: 1, j: 2}. What is prob of sequence jjdo?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:34 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -498 to the nearest 10.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 2970213?\nAnswer: 2970213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -403 + -72. Let d = -475 - f. Solve b + 3 = -d*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -49*g - 250. Let k be f(-18). Suppose 2*r - k = -2*d, -4*d + 6*r - 2*r = -1232. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -20. Solve 2*s + 3 = -1, -g*l - 5*s - 22 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/323900 and 64\/5275.\nAnswer: 68342900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4621155 or -4621156?\nAnswer: -4621155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8 + d**2 - 1 + 5. Let j be 1\/((4 + -2)\/12). Suppose j = 5*y - 9. Calculate b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59\/4 or -14?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 85 - 15 = 0. What is the remainder when (-156)\/18 + 8 + (-316)\/(-6) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, h: 2}. What is prob of sequence rh?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1755, 2994, 4233, 5472, 6711, 7950?\n\"Answer: 1239*p + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x + 4. What is i(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((92\/(-644))\/(4\/14))\/((-3)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 48\/(-28) - (-363299994)\/(-21). Round r to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1082\/191 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4565 - 5373*t + 4565 in the form i + g*t and give g.\nAnswer: -5373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -u - 16, 3*u + 20 = 5*m. Solve 0 = -3*b + s - u*s - 12, 2*b + s + 13 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 3*c**2 - c - 8. Let j(q) = -4*q**3 - 1290*q**2 - 644*q - 40. Let l(v) = 5*b(v) - j(v). Find a such that l(a) = 0.\nAnswer: -1\/2, 0, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276804518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/15)*v\/(v**0*v))\/(v\/(v*v**(-2\/13))*v*v**(-2\/5)\/v))\/((v**0*v**(2\/21)\/v)\/(v**(-1)\/(v\/(v*v*v**(3\/8))))) assuming v is positive.\nAnswer: v**(8709\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71212, -71213, -71214, -71215, -71216?\n\"Answer: -w - 71211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/31 (b) -2\/3 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 795474769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1980) + (sqrt(1980) - (-1*sqrt(1980) + sqrt(1980))) - sqrt(1980))\/(-2*sqrt(99)) + 4)*-5 + 1.\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1129 by 69402.\nAnswer: 1129\/69402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2. Let o(g) be the first derivative of 0*g + 0*g**2 + 2\/3*g**3 - 2. Determine o(y(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 4*k**2 + 5*k + 2. Let m be x(5). Suppose m*q - 4*j - 30 = 0, 2*q - 15 = q - 3*j. Solve -7*u + 2*u + 5 = 0, -q = 4*o + 5*u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 u, 1 t, and 1 r when four letters picked without replacement from {b: 1, j: 2, h: 3, u: 2, t: 1, r: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -748*g + 8230. Let f be a(11). Solve 5*d - 13 - f = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 12. Let y be x(0). Suppose -o + 6 = 2*d, 2*d = -d + y. Let f be 2\/4*(0 - o). Solve -f - 1 = 2*h, -h = -v + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 - -5)) + (126 + -57 - 44).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18548e (base 15) in base 10?\nAnswer: -1182284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -182.3160474 to 1 decimal place.\nAnswer: -182.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2153312\/480 + (-1)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*f**2 - 89\/3*f - 30.\nAnswer: (f - 90)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8381, -15816, -23235, -30632, -38001?\n\"Answer: z**3 + 2*z**2 - 7448*z - 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319244584.\nAnswer: 2, 37, 829, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200139550.\nAnswer: 2, 5, 13, 163, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + -7 - (-1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/s*(s\/s**(2\/13))\/s)\/(s**(1\/10)*s**(1\/23)) assuming s is positive.\nAnswer: s**(-12849\/2990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**6 - 4*a**5 + 12*a**3 - 75263*a**2 wrt a?\nAnswer: 1680*a**3 - 240*a**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84.5 - -83.5. Let v = -56 - -227\/4. Sort v, -0.08, t in decreasing order.\nAnswer: v, -0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 91*w = -4*g - 95*w - 20, -55*g - 221 = 7*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 1777*v - 39571. What is q(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65177 + 45057 = -786*x - 6880 for x.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7739 = -68*c + 9507 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9625*l**2 + 140*l + 64. Let x(c) = 4816*c**2 + 70*c + 31. Let k(s) = -9*x(s) + 4*y(s). Find the second derivative of k(i) wrt i.\nAnswer: -9688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218221440 to the power of 1\/2, to the nearest integer?\nAnswer: 64948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -110.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12267 - ((19 - 58) + 19). Which is greater: -12248 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445751 is divided by 1315?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 5232*x - 533342. What is l(100)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-15.621908.\nAnswer: 93.731448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -701, 15, 39 in descending order.\nAnswer: 39, 15, -1, -701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-550) + (-4712)\/(-775).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72331.67 litres to millilitres.\nAnswer: 72331670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 237255 > 237270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 33*r - 188. Calculate the remainder when c(7) is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 11*j + 114 = 0, -9*c + 6*c - j - 2 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 472834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 126\/(-90) - (-4)\/10. What is the common denominator of (14\/105)\/(l\/(-2)) and 2\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4302 (base 5) to base 15\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029 divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*s + 32 = 0, -h - s - 3 = -4. Suppose -h*c + 568 = 3*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6968208 minutes in nanoseconds?\nAnswer: 41809248000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 990 divide 152293680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.01 (b) -5 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 156 = -4*u, 2*l = -1 - 7. Let s(c) = -c**3 - 34*c**2 + 35*c + 2. Let o be s(u). Solve 0 = 2*a - 5*i + o*i + 8, 0 = 4*a + 3*i - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 0*f + 0*f + (4 - 4 + 2*f**4)*(f - f + 2*f) - f + f + 2*f**5.\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433122422 to the nearest integer?\nAnswer: 20812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o + 6. Let w(z) = 4*z - 3. Let x(k) = 3*l(k) + 5*w(k). Let s be x(5). Calculate the remainder when 37 is divided by (15 - s) + -3 + 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (343\/(-7))\/(-49*39\/273)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 12*n + 2. Let u be (-35)\/15*-3 - (-14)\/7. Let j(y) = 12*y**2 + 49*y - 9. Calculate u*d(q) + 2*j(q).\nAnswer: -3*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 - 4*r**4 - 2*r**4 + (933*r**3 - 743*r**3 - 816*r**3)*(2 - 2 + 8*r).\nAnswer: -5010*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137536619 - q**2 + 68768306 + 68768313 + 5*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9660 - -9666. Let m(i) = -i**2 + 7*i. Let r(q) = 3*q**2 - 13*q. What is z*r(v) + 11*m(v)?\nAnswer: 7*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 722*b**4\/7 - 14592*b**3 + 21336*b**2 - 7840*b = 0.\nAnswer: 0, 14\/19, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z. Let l(a) = 331482*a**2. Determine l(g(j)).\nAnswer: 2983338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 276*m**2 + 349*m + 82*m**2 + 45*m**2 + 43*m**2 wrt m?\nAnswer: 892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 6 + 2*a**2 + 1 to s + z*a + w*a**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -3*c**2\/2 + 462. Let w(i) = 739*i**2. What is f(w(v))?\nAnswer: -2217*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6996.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1893075572 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 34. Calculate the remainder when 155 is divided by 4*(-40)\/(-16) - (-6)\/n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 60960*h + 185806080.\nAnswer: 5*(h - 6096)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 120 = -2*z. Suppose -z = -s - 5. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731 = 306*d - 969 - 1054 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 165, 2, -0.13 in descending order.\nAnswer: 165, 2, -0.13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5495*t - 1115476. Calculate u(-203).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c + 177. Let f be o(29). Let s = 9575\/8 + -1195. Are s and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**3 - 78*d**2 + 33*d - 18. Let f be z(11). Solve f = 5*w + 214 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q**2 + 12*q + 34. Let y(f) = -13*f**2 - 13*f - 42. Give 6*d(c) + 5*y(c).\nAnswer: 7*c**2 + 7*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*b = -650*b - 10719 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -16. Calculate the remainder when s is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37917.68859 - 2085.78569. Let h = 35829 - g. Let o = h - -2.9. Round o to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 153*x - 463 = -155*x, 4*x - 101 = -p. Let w be 2*10\/(-2 + 4). Calculate the greatest common factor of p and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**(1\/4))\/r)\/(r*r*r**(2\/3)*r)*(r\/(r*r*r**(-2\/3)*r*r))**31 assuming r is positive.\nAnswer: r**(-301\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) + 2\/(-6). Let v be 1*(0 + (0 - 1)). What is the second biggest value in v, a, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415 - 315*v - 208 + 2*v**3 - 211 - 919*v + 267*v.\nAnswer: 2*v**3 - 967*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -3, -18, 25, 1, 4 in decreasing order.\nAnswer: 31, 25, 4, 1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)*2*-1*-6)\/(-5*6*-1*sqrt(320)) + 5.\nAnswer: sqrt(7)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2288\/440)\/(((-364)\/(-1120))\/1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (3283825\/230)\/(5\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-52)*(-3 - 876\/(-308)) + 1244\/(-22).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2\/227 (b) -1 (c) -3\/4 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/5 (b) -1 (c) -18 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61750 and 42412750.\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-96 + 601 + 95)*(39*p + 72*p**3 - 39*p)*(0 + 0 + 1) to y*p + f + k*p**2 + u*p**3 and give u.\nAnswer: 43200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.907429 rounded to 1 decimal place?\nAnswer: -76.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 29, 46?\n\"Answer: 17*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -232634000 to the nearest one million.\nAnswer: -233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16)\/d)**(-48) assuming d is positive.\nAnswer: d**816","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4832007 to the power of 1\/2, to the nearest integer?\nAnswer: 2198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 - 97. Let t(f) = 28*f - 1. Calculate the remainder when m is divided by t(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 78 = 2*s. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13005 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -7. Suppose t + 0*a = -4*a + 21, -3*a - 220 = -o*t. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v + 10 - 52 = 0. Suppose 5*f = 7*d - v*d + 920, 0 = d + 5. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -384 + 384. Let s = 0.2 + -0.1. Suppose 22*m + 36 = 34*m. Which is the closest to -1? (a) m (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076725.\nAnswer: 5, 13, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*j = 487*j + 2317 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 90*l**2 + 21*l + 59. Is b(54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/3 - 50968*g\/3 - 649434256\/3 = 0.\nAnswer: -25484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44 + 22*h**3 - 67*h**2 + 67*h**2 - 8*h**3 with respect to h.\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2589 and 19.79?\nAnswer: 2608.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52773772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15919 + 12014 = -71*h for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 10) to base 4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c + c. Let y = 4 - 3. Are c and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, -13, -57, -139, -271?\n\"Answer: -2*o**3 - o**2 - o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + -1*sqrt(495))\/sqrt(5) + ((-1 + sqrt(11))*3 - (sqrt(110)\/sqrt(2))\/sqrt(5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17891775 divided by 45?\nAnswer: -397595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 73406.95 years?\nAnswer: 7340.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}