diff --git "a/data/dm_maths/full_data_1/1815_11255.jsonl" "b/data/dm_maths/full_data_1/1815_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1815_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -2534677007 minus 1182?\nAnswer: -2534678189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2270 is divided by 419.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45445*k - 208904.\nAnswer: 45445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 217804707.\nAnswer: 2\/217804707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by -6?\nAnswer: -89\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/12 - q**3 + 2*q**2 - 2. Let a(d) be the second derivative of v(d). What is the tens digit of a(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 49*b - 63. Let k(y) = -3*y + 4. Suppose -4*w + 331 = -5*n, -5*n - 2*w = 264 + 43. Give n*k(t) - 4*q(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 41. Let o be p(9). Let i(r) = -r**2 + 6*r + 1. Determine i(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 701*p**2 + 137667*p + 5025663.\nAnswer: (p + 47)*(p + 327)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 36 + 5 + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 4 (c) 108822\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -z + 13, z - 2*z + 3*o + 6 = 0. Solve -3*n + 0*n + z = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l*y**4 - l*y**3 - 1320*l*y**2 - y**4 wrt y.\nAnswer: -96*l*y - 6*l - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5*g**2 - 3180*g**3 + 3211*g**3 - g**2 - 1 + g**2 as q*g + h*g**2 + o*g**3 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 3*b**2 - 6*b - 12. Let y be q(6). Let n = y - 27. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 4*l + 1. Let o(t) = t**3 - 8*t**2 + 2*t - 12. Let p be o(8). Suppose -p*v - m = -39 + 14, -5 = -v + m. Let w = v + -10. What is g(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 h when four letters picked without replacement from hshhhoiohhhdoos.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tktv when four letters picked without replacement from qtzzkkkvvqkkkkkkvkt?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i. Let o(l) = -l**3 + 2*l**2 - l - 3. Let j be o(2). Let c = j + 10. Let y(z) = 1 + 4 - c + z. Give y(q(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468199 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + v - v + (2 - 1 + 1)*(-3*v - 4*v + 5*v) + v - 2*v + 0*v - v + 4*v - v)*(-1292 - 183 + 532) as c + m*v and give m.\nAnswer: 4715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -4.6682?\nAnswer: 13.3318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351150?\nAnswer: 2, 5, 59, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 128278099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 17, h: 1}. Give prob of picking 1 h and 1 f.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190395378 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 816?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -17*(-2 + -1)\/3. Calculate the highest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 623480 divided by 440\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(-3 + (((sqrt(720) - (2 + 1*sqrt(720))) + 5)*1)**2)*2.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1 + 4 - 3 + 4 + (-3 + 2 + 0)*(-1 - 3 + 3))*(-2*x + 2*x + x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -151, -149, -147, -145?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.2 + 25.5. What is the fourth biggest value in 1, -1, g, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4783703 rounded to one dp?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 235*f**2 + 4*f - 1. What is the hundreds digit of c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7485, -59809, -201831, -478401, -934369, -1614585, -2563899?\nAnswer: -3827161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169459327*v**3 - 72221752*v**2 + v wrt v?\nAnswer: 1016755962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640926189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.081 * 65954\nAnswer: 71296.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10606 and 908.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2 + n. Let k be 6*((-185)\/30 - -6). Let f(s) = 6*s**3 - 4*s**2 + 5*s - 2. Suppose 7*p + 12 = 10*p. Determine k*f(r) + p*o(r).\nAnswer: -2*r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y - 3*f, y = -112*f + 116*f - 2. Is -152\/59 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgvgggqlg. Give prob of picking 1 l and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-15))\/((143\/78)\/11).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 1. Let c be j(3). Let h(m) = -34*m**2 + m. Let x(k) = -33*k**2 + k. Let b(q) = c*h(q) - 5*x(q). List the prime factors of b(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -54, 0 in descending order.\nAnswer: 4, 0, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752202461.\nAnswer: 752202461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*1 - (3 - (-15)\/17). Which is the closest to -0.1? (a) j (b) 2\/3 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeoeloeqeeeoqe. What is prob of sequence le?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3*w**2 - 583*r**3 + 1211*r**2*w**4 - 4*r**2*w wrt w.\nAnswer: 4*r**3 + 14532*r**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267787 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 968751 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 14*w**2 - 16*w + 9. Give l(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 41 + 37 + 0*x. Let s(z) = 15*z + 21. Determine 21*o(d) + 4*s(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 1643433126?\nAnswer: 1643433124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**23*p*p)\/p)**(-1\/5)\/(p**(2\/7))**36)**9 assuming p is positive.\nAnswer: p**(-963\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/80*(-18 + 8)*(-28)\/16 and -53\/19688.\nAnswer: 39376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**2 - 10*l + 10. Calculate g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3 - 3 + 0 + 1 + 3 - 3 + 2 + (-5 + 2 + 1)*(1 - 1 - 2) - 1 - 5 + 5)*(28*p + 18*p**2 - 28*p).\nAnswer: 90*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8 + 22)\/((-6)\/(-4)))\/(10 - -2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/5814451 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 55. Suppose 2*v = 4*v - 2. Solve -a*f + v = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -31 - 11. What is the units digit of (-2191)\/(-70)*r + (-3)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 7. Suppose 2*k + 8 = a*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**2*g**2*l - 1511*b**2*g*l - 1337*b**2*g - 288072*b*g**2*l + 3*b*l - 4*g**2*l wrt g.\nAnswer: -10*b**2*l - 576144*b*l - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -337 divided by 5433\nAnswer: -337\/5433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7693, -7695, -7697, -7699?\n\"Answer: -2*w - 7691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317170 or -317171?\nAnswer: -317171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6724175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-3)\/((-45)\/(-50)). Let p = l + 12. Solve -4*z - 5*c = 0, 2*z + 0*c = p*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + x - x)*(426*x + 414*x - 92*x)*(4*x**2 - 5*x**2 + 4*x**2) in the form q*x + h*x**4 + l + s*x**3 + g*x**2 and give h.\nAnswer: -6732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/651 and -71*(5 + 19516\/(-3906)).\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (10 - (25 + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 561034574?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.05741 minus -196.8191?\nAnswer: 125.76169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (sqrt(208) + 1*sqrt(208) - sqrt(208)))**2 - (0 + sqrt(13) + 0).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -55*c**2 - c + 1779. Give l(6).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3428*b + 29802 = -79894 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 132\/17?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -2, -23, 3, -176, 0.\nAnswer: -176, -23, -4, -2, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 139. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 93, 4, -3, 3 in descending order.\nAnswer: 93, 4, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7) + sqrt(7) + 2)**2 + (sqrt(896)\/sqrt(8))**2.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -5*w**3\/6 + w**2\/2 - 96*w. Let b(m) = 4*m. Give 3*b(k) + 2*h(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/3 - (-4)\/6. Suppose -q = -4*m + 8. Factor -2*h + 3*h**3 - 1 + h**4 - m*h**3 + 3*h**3.\nAnswer: (h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26952714.66 rounded to the nearest one hundred thousand?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*r + 9. Find l, given that l**3 + l**3 - 2*l**r + 4 - 4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 smaller than 681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 7. Calculate the remainder when w is divided by (-25 + 776\/32)\/(1\/(-16)) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 481, 552, 603, 628, 621?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66821?\nAnswer: 66821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 335 and 162.\nAnswer: 54270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*7\/(-126) - (-13)\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 5*r**2. Let m be a(6). What is the lowest common multiple of (2\/6)\/(14\/m) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -5\/4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u + 6. What is the units digit of t(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -43. What is the smallest common multiple of d and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/23 + (-38)\/(-184).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 19*l**3 + 5*l**3 + 3*l**3.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + 0*b**2 + 2*b**2 + 2*b**2 + 5 - 5 + (0*b + 8*b - b)*(-2 - 2*b + 2))*(0 - 2 + 1) as y*b**2 + m*b + q and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/128 and 77\/24282.\nAnswer: 1554048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776*v**2 - 2245*v**2 + 2295*v**2 - 3*v - 1194*v**2 + 3*v.\nAnswer: -1920*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 41 + 7*f - 24*f + 16*f + 3 + 3*f. What is d(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -37. Let b = 371 + 69. What is the highest common divisor of b and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50473546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42307, -42286, -42265, -42244, -42223, -42202?\nAnswer: -42181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 2*a + 12*a to n*a + j and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + 1. Let l(t) = 12*t - 7. Let d(f) = -14*a(f) - 2*l(f). Let b(w) be the second derivative of w**3\/6 + w. Give b(d(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 18*w**2 - 70*w + 8. Let c be f(-12). Let d be (8\/c)\/((-6)\/36). Solve 0*m + d = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -9, -9.3, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 37. Let i = c - 19. Let g = -6 + i. What is the third smallest value in -0.3, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j**2 - 2*j**3)*(-13 + 18 + 7).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17295 - 17296. Let u be 4*1\/(-2)*-2. What is the third biggest value in m, -0.4, u, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 0.3 (c) 4 (d) 1\/151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70300 rounded to the nearest one thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16940159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (10\/(-25) - 66\/(-15)). Suppose -10*q + 764 - 244 = v. Calculate the greatest common divisor of 1404 and q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**3 - 9*k**3 + 10*k**2 - 10*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:45 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*q + 4, 2*q - 4 - 4 = 0. Let m(l) = -2*l + 3 - l**2 - 7*l + 2 + d*l. Let s be m(-8). Sort -4, 3, s.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/(-49)*14\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/5 and 4 + (-1242)\/315 - (1 - 0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3857988 is divided by 547?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 598*r + 112*r - 56 + 56 to y*r + x and give y.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 3*x**2 + 26*x + 14. Give h(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 5*s - b + 2, -s - b = -2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 0)\/3 + -33. Let b = w + 38. Let h = -3 - -26. What is the remainder when h is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 3680\nAnswer: 31\/3680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y + 228 = 38*y. Which is the second smallest value? (a) y (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1810*s - 269551 = 5923*s + 314250 + 73504 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 54 = -3*n, -122 = 4*m + 10*n + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*g - 3*g + 2931, 2891 = -2*v - 5*g. Let d = v + 2068. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 16*p**2 - 17*p - 22. Let j be v(-15). Let c(y) = y + 5*y + 7*y**2 - y**3 + 3*y - 4. Let q be c(j). Let d(i) = 4*i - 6. Determine d(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 + 325. Let n = m + -175. Calculate the remainder when 217 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 56*f**3 + 10*f**2 - 41*f + 32. Is k(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 2, 2\/39, 7 in increasing order.\nAnswer: -2, -1, 2\/39, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.5 + 7.5. Let i = -12080 + 12119.999. Let r = t + i. What is r rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/12 + 4*z**3\/3 - 3*z**2\/2 - 5*z. What is the lowest common multiple of a(5) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*k - 10, 0 = -5*k - 4*j - 7 - 1. Let b be (k\/2)\/2 + 3. Sort -4, 4, b in increasing order.\nAnswer: -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/126)\/(4\/84). Let o(a) be the first derivative of 10\/9*a**3 + 2\/5*a**5 + 1\/3*a**2 + 0*a - 2 + f*a**4. Factor o(d).\nAnswer: 2*d*(d + 1)**2*(3*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/l)\/l*l*l**(-8)*(l**(2\/3))**(3\/2))**(1\/30) assuming l is positive.\nAnswer: l**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 919 - 905. Let a be (-3)\/(6\/(-16)) - -1. Suppose -2*t + 21 = -a. Is j less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/9 - 20\/(-12). Suppose l = 3*h - z, 2*l = -2*l + 4*h + 4. Suppose l*k + 84 = -3*x, 0 = -2*k + 5*x - 124 + 40. What is k rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61950681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401734263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 119 + 131 = 0. Let o = n + 58. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 458778 - -8?\nAnswer: 458787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqqrqrkqrrqwqrqww. What is prob of sequence rk?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, -154, -370, -586, -802, -1018?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 + 5 + 6*x + 1 + 2*x**3 + 4*x - 3*x. Let m = -14 - -9. Let r(d) = d**3 - 6*d - 5. Calculate m*b(u) - 6*r(u).\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z + z - 4*z + (-1 - 2 - 1)*(-1 - 2*z + 1) + (-58*z - 63*z + 123*z)*(-1 + 2 - 3).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/20 - 183\/(-12). Solve -3*z - 3 = -4*v + s, 5*v - z = 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 21 + 11\/2*i**3 - 1\/2*i**4 + 1\/2*i - 29\/2*i**2 = 0.\nAnswer: -1, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54953, 4, -3, -1030, -2 in ascending order.\nAnswer: -1030, -3, -2, 4, 54953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + g + 3. Let n(f) = 30*f**2. Let p be n(1). Let t be 2\/(-5) + (-138)\/p. Is j(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1309 + 1284. Let u = 120 - 69. Let m = x + u. Calculate the remainder when 75 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-42)*-1*9\/6. Which is the third smallest value? (a) 5 (b) -2\/9 (c) -4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 4*s, -140 = -3*z - 4*s - 142 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 790 and 1264.\nAnswer: 6320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -62*h**2. Let a(x) = 229*x**2 + 238*x**2 + 227*x**2 - 703*x**2. Calculate a(c(s)).\nAnswer: -34596*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -933 (b) 0 (c) -1 (d) 2\/17 (e) -1.819 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2025 - -2012. Which is the smallest value? (a) -21 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -25. Let s be (l\/(6\/45))\/(-1). Solve s = y + 3*v, 4*y - 1 = -v + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166328 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n + 9. Suppose -5*k + k = 0, 2*s - k - 14 = 14. What is o(s)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1042200\nAnswer: 1\/521100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -16*w + 19*w - 23, 0 = -w + r - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2*4\/((-180)\/(-171)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164225589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = c - 38, 0 = 3*n - 9 + 6. What is the smallest common multiple of 25 and c?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 2*q - 44. Give y(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013404 to five decimal places.\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r**4 + 659*r + 1 + 275*r**4 - 687*r wrt r.\nAnswer: 3228*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4875 divide 2137079438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p*p**4)\/p)\/p**(-2\/3)*(p*(p\/p**1)\/p)\/(((p*p**(-2\/3))\/p)\/p))**(-24) assuming p is positive.\nAnswer: p**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6129 + 58?\nAnswer: 6186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22094 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 (8 + -9)*(16 - 1635)?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 66*l**3 - 7 + 4.\nAnswer: -66*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -5 (c) 0.265 (d) -3\/5 (e) 0.037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 92*f + 26. Let o be i(10). What is the greatest common divisor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2100*y - 2310. Determine v(1).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000614 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 721 = 257. Let n = -319 - l. Solve -4*g + n + 1 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4388955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/14? (a) -1\/7 (b) -2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.1. Suppose -5*s + 2 = 3*c - 27, -4*s = c - 19. Sort -1\/3, y, s.\nAnswer: -1\/3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-9)*(9\/2)\/(24\/(-16)). Solve -4*t - f*b = 20 - 14, 0 = -5*t + 3*b + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -268, -189, -22, 275, 744, 1427, 2366?\n\"Answer: 7*h**3 + 2*h**2 + 24*h - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2317547494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 2*r + 2*r. Let m be n(0). What is the first derivative of m - 2*j + 6*j - 4 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q + 9. Determine u(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 1, b: 2, t: 4}. Give prob of sequence tp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Let i(r) = -7*r**2 - y*r - 8 - 5*r + 0*r**3 - r**3 + 0*r**3. Let s be i(-6). Which is smaller: s or -8\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113322439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1363*i - 1 + 2 - 1 - 181*i.\nAnswer: -1544*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1095*x - 14. Let l be r(-10). Is (l\/(-10) - -1) + 54\/(-135) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30\/13 in 0.5, 5, 4, 20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-8))\/5*112\/462\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 14*i**5 - 2026*i**4 - 636*i**3 + 8104*i**2 + 2320*i = 0.\nAnswer: -2, -2\/7, 0, 2, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0060657 grams in tonnes?\nAnswer: 0.0000000060657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 3*c**7\/70 - c**3\/3 + 3*c**2. Find the first derivative of d(r) wrt r.\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 6*x - 47. Find the third derivative of 24*d**3 + 0 + x*d**2 + 66*d**3 - 4*d**2 - 3 wrt d.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*5*(-1)\/2. Suppose 2*a + 10 - 64 = -2*m, 0 = -n*m - a + 151. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 33*z**2 + 16*z + 19. Let m be u(17). Solve -m*v = 4 + 4, -3*i = 5*v + 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/150*(-1)\/(-1)*-2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1692\/81 - 20 - 1808\/(-72).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/12 - -7\/12. Which is the nearest to n? (a) -5 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i + (-1 + 0 - 1)*(i + 3*i - 2*i) + 2*i - 2 + 2 + 2*i - 5*i + 2*i - 2*i - 4 + 4)*(-11 + 1 - 1) - 38*i - 56*i + 7*i.\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*i + 118, 3 + 5 = 2*i. Suppose 4*t = -t - 3*x + 13, 2*t - s = 4*x. Sort t, -7, 1 in descending order.\nAnswer: t, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1537.3 - 110451590.\nAnswer: -110453127.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 17, 5, 3, 0, 1088 in ascending order.\nAnswer: 0, 3, 5, 17, 81, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 72 = 4*w. Suppose -q - w = m - 205, 0 = m + 4*q - 170. Suppose -5*g = -4*r - 349, 4*g = -r + 97 + m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 10 = -a, 0 = -3*k - 2*a - 74 + 66 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/10)\/((-6)\/(-150)). Suppose -y - y = -h. Solve p + 4*p - y = 0, 5*p = -2*b + 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 1, 29.\nAnswer: -6, 1, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 - 1 - 1 - u**4 + 35*u**2 + 4*u**3 - 31*u**2 to p*u**4 + y*u**3 + m + k*u + z*u**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1141, 1361, 1577, 1789, 1997, 2201?\n\"Answer: -2*l**2 + 226*l + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 - 0.24. Let n = k + 0.0844. What is n rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62824?\nAnswer: 2, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2 - 132915*s + 3717700 = 0. What is s?\nAnswer: 28, 26555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t**4\/t)\/t*t*t*t**3*(t*t\/(t*t**(-10)))**(3\/16) assuming t is positive.\nAnswer: t**(161\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + (3 - (-82)\/(-56)) and (411\/6 + 0)*(-3)\/36?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a + 1. Let h(p) = 3*p**2 + 22*p + 8. Let i be h(-7). Let d(n) = -10*n**2 - 3*n - 6. Give i*d(x) + 6*l(x).\nAnswer: -4*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tatataatatata.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 8 + 84*s - 10.\nAnswer: 84*s - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 20, -2, -3, 5, 72 in decreasing order.\nAnswer: 72, 20, 5, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 + -0.044?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18630 and 222295?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790577*k**3 - 3 - 790248*k**3 + 1580822*k**3.\nAnswer: -3*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 4*a + 2. Let h(z) = -z**3 + 17*z**2 + 361*z - 6082. What is the remainder when h(17) is divided by o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**7\/2520 - r**6\/80 + r**5\/20 + r**4\/8 + r**3\/2 + r**2 + 7*r. Let j(u) be the second derivative of x(u). Determine j(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j. Let r(i) = 3*i**2 + 55*i. Give r(q(l)).\nAnswer: 108*l**2 + 330*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -5.742206?\nAnswer: -22.968824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90408.76um to meters.\nAnswer: 0.09040876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29726 - -29739. Let g = 39 + 8. Let u = -24 + g. Calculate the remainder when u is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by 420.\nAnswer: -11\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 at most 847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 4. Let d be a(0). Let b be d\/18 + (-43)\/(-9). Suppose 4*j + 4*t - 1 - 163 = 0, b*j = 4*t + 178. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194065*f**2*k**3*t - f**2*k*t + 2*k**3 - 97213*k**2*t wrt k?\nAnswer: -1164390*f**2*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 9:28 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 23*j**3\/3 + 460. Let m(x) = 13*x**2. Give y(m(q)).\nAnswer: 3887*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233604914.\nAnswer: 2, 116802457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595 a factor of 284133300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38688, -1, -2, 7, 37 in increasing order.\nAnswer: -2, -1, 7, 37, 38688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - q + 2. Let u be o(0). Let z be u - 12\/((-16)\/4). Factor -2*n + 4*n - n**2 + 0*n**2 + 4 - z*n**2.\nAnswer: -2*(n - 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 20*y - 38. Let p = -272 - -274. Let u be f(p). Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 139 (c) 6 (d) -3 (e) -3\/2 (f) 15 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-10 + 8 + -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -2, -5490\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 5 - 8*w + 4*w**2.\nAnswer: 4*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 2 - (3 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 61 + 114 + 121)*(3 - 3 + 2*x)*(4*x**4 + 7*x**4 - 4*x**4).\nAnswer: 3248*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2502 times 0.4\nAnswer: 1000.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 85136332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 + 0.61. Let i = d - 3.8. What is the closest to 2 in i, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.47963 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z**2 - 240*z - z**3 + 240*z + 7. Is 21 a factor of b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 174, 309, 442, 573?\n\"Answer: -l**2 + 138*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4)*8\/(-6). Put 1\/6, 2, g, 0.4 in descending order.\nAnswer: 2, 0.4, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 12:54 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u - 1. Let o(d) = -3*d**2 - 5*d + 5. Let n(x) = o(x) + 6*s(x). Let f(l) = -7*l**2 - 3*l + 1. Let t(q) = 2*f(q) + 5*n(q). Determine t(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z**3 + 2*z**2 - 4*z + 5. Let d(p) = p**3 - 3*p**2 - 6*p + 11. Let i be d(4). What is the tens digit of j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c**2 + 525*c - 6348. Calculate g(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 32111 = 9308. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + 2d82?\nAnswer: 2d97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*g + 19. Suppose 2*r - 28 = 2*k - k, -28 = -2*r - g*k. Let q = -9 + r. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164 and 623?\nAnswer: 102172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 121*g - 7474. Let s be w(45). Let v(q) = -q - 61. Calculate v(s).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) - (-43)\/9. Find the third derivative of 2*r**2 + 72*r**5 - 7*r**2 - 65*r**w wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-3*((-8)\/3 + 3)). Let s be (1\/(-1) + u)\/((-3)\/21). Find the second derivative of 7*z**2 - s*z**2 - 26*z + 8*z - 21*z**5 wrt z.\nAnswer: -420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152074 (base 11) to base 6.\nAnswer: -5025115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(2*(-3)\/2). Let v = 3 - 2. Let c = l - v. Does -1 = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 230831134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15830762 divided by 23.\nAnswer: 688294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 4, d: 7, t: 6}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 397 (base 16) to base 6\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.27963208 - -1.2422?\nAnswer: -31.03743208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/3, 236, 3\/2, -0.3, -14, 57?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45661320 (base 7) to base 10\nAnswer: -3998169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -216272641*g*l - 71*l + 1665717 with respect to g.\nAnswer: -216272641*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -80*b**2 + 3*b - 2. Let r(h) = -1. Let d(w) = -m(w) + 2*r(w). List the prime factors of d(1).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/264455 and 1\/511901?\nAnswer: 581007635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 4:01 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b*b**(-1)\/b)\/b)*b*b**(-3))**(5\/8) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -d - 2*m, 16*m = 11*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 - -79. Suppose y = -7*k + 72 + 33. Suppose -k*i + 190 = -13*i. What are the prime factors of i?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -0.09\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23062499*b**2 + 23*b + 42. Let t be l(-2). Round t to the nearest one million.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*w - 2*w. Let q = 17 - w. Let m(h) = h**3 + 8*h**2 - 12*h - 9. Calculate the least common multiple of m(-9) and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228 divided by 76.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + 46924777177234\nAnswer: 46924777177234.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-16 - (12 + -17))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/7)*c**(-24))\/(c**(-1\/12)*c*(c**(-5\/3)\/c)\/c) assuming c is positive.\nAnswer: c**(-571\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4670 + 9938 = 0. What is the remainder when f is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*s + 1 = 0, -10*t + s + 33 = -5*t. Suppose 0 = -2*l + t*l - 36840185. Let p = -3768037 + l. Round p to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffbffffffffffbfbb. What is prob of picking 2 f and 2 b?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197 + -194. Suppose 0 = r*z - 265 + 280. Let o(u) = -u**2 - 2*u - 6. What is o(z)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75389.\nAnswer: 75389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 121150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78011 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 88. Suppose -23*f = 79*f - 15606. Calculate the highest common divisor of n and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -6847496?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 14 (c) -2 (d) -2\/19279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 9. Let j be i(5). Is ((-492)\/(-9))\/(j\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.073 to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -17 (b) -1 (c) -5 (d) 2 (e) 0.05 (f) 36\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - 2615?\nAnswer: -2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12658a (base 12) to base 10\nAnswer: 301498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.4255786 rounded to 3 decimal places?\nAnswer: 14.426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103221689?\nAnswer: 3, 367740563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3148, 5944, 8740, 11536?\n\"Answer: 2796*f + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*u - 158*u + 65*u)*(1 + 4 - 3) + (u + 3*u - 6*u)*(-2 - 3 + 6) + (2*u + u - u)*(1 + 4 - 1).\nAnswer: -390*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -x + 3*b, 4*b = 3*x + 2*b + 328. Let t = x - -114. Suppose 0 = t*n + 2919 + 2001. Round n to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 286*a + 205504.\nAnswer: -(a - 988)*(a + 416)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + o**3 + 5*o**3 - 726*o**2 + 729*o**2.\nAnswer: 3*o**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*x + 1 - 4*x + x + x + (1 + 2*x - 1)*(-1 - 5 + 4) - 2*x - 1 + 1 + 3*x - 4*x + 3*x + x + x - 4*x)*(4 + 0 - 2)*(7 + 3 - 5).\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 - -838\/5. Let s be 1 + 0 - (-10)\/(-6). Let q be 5*(3 + (-214)\/70). Which is the closest to q? (a) 0.1 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -55.7. Let o = 6 - 3. Which is the closest to 0.4? (a) -0.2 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25847020 rounded to the nearest 10000?\nAnswer: -25850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2299)*2 + sqrt(2299) + (sqrt(2299) - (0 + sqrt(2299))) + sqrt(2299) + 5 + ((sqrt(2299) + -3)*-2 + sqrt(2299))*6 + -4)**2.\nAnswer: -1408*sqrt(19) + 10220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -10\/7, -4\/3, 359, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 3) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let g(y) = -648*y. What is g(s(c))?\nAnswer: -648*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 841, 1672, 2489, 3286, 4057, 4796?\n\"Answer: -s**3 - s**2 + 841*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 40*n**2 + 110*n**3 + 54 + n - 107*n**3 - 38*n**2.\nAnswer: 3*n**3 - 78*n**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 2)*(-2)\/(-4). Let c(o) = -o + 7. Let d be c(5). Let w be (-11)\/(-7) + (d - 4). Which is greater: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 4*d**3 + 8*d**3)*(7*d**2 + 20*d**2 - 10*d**2) + (-3 - 2 + 6)*(d**5 + d**5 + 0*d**5 + (d**3 - d**4 - d**3)*(d + d - 3*d)).\nAnswer: 88*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 5)*(-2 - b - 7*b - 2*b).\nAnswer: -90*b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4545*b - 4 + 13626*b - 4541*b - 4544*b to the form y*b + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2 - 1241756*s + 6208830 = 0. What is s?\nAnswer: -620883, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let s(n) = -69*n + 69. Let c be s(-16). Let z(l) = -35*l - 587 + c - 587. Calculate z(d(h)).\nAnswer: 35*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/338 and -43\/6.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 26*i + 26*i + 2*i**2. Let s(u) = u**2. What is s(m(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 0 + 2 + (-35)\/7. Which is the nearest to 0.2? (a) x (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -157791.275 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 + 10 + 7*d - 2*d**2 + d. Let g be a(-7). Solve 7 - 8*w**5 + 6*w**g - 7 - 2*w**2 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 2. What is the smallest common multiple of 3 and k(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2479421 take away -249675?\nAnswer: 249675.2479421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -n - x, -n = -0*x + 5*x - 34. Let i = 24 + 0. Suppose -4*r = -7*r + i. Calculate the remainder when n is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*s - 293527 = -7234*s + 85823 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -3\/10 (c) 4 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1053*m**2 + m + 1 + 5064*m**2 + 0*m - 1396*m**2. Let n = 1 - 2. Is r(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.2167914 rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:54 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 261237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = s - 1, 3*s + 10 = -4*i. Suppose -s = g + g. Let r = g - -7. Calculate the least common multiple of r and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 10, -2\/11, 4, 2\/9, 31?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.2 - -2.9. Let y = w + -11.7. What is the third biggest value in y, 0.15, 5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 526 + 520 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 900 - 453 - 449 + 481*u + (-1 + 2 + 0)*(2 + 3*u - 2) + 3*u - 2*u - 2*u - 3 + 3 - 7*u to the form v*u + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 301, 3\/40, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -0.5.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*l + 7*l - 1018 = 716 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3465)\/(-6930)*(-6)\/(-111).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -333290 from 2.\nAnswer: 333292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 6. Let a(q) = -q + 7. Let p(m) = 6*a(m) + 7*t(m). Let h(k) = 5*k. Determine p(h(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/44 and 9\/968.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + 0 + sqrt(833))**2 + (-5*(sqrt(85) + sqrt(85)*2))\/(2*sqrt(5)*-3).\nAnswer: -23*sqrt(17)\/2 + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 - -301?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 551.7315 litres in millilitres?\nAnswer: 551731.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*q**3 + 46*q**3 + 1 - 10*q**2 - 11*q**2 - 27*q**3 as s*q**2 + f*q**3 + m*q + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4) + 3 + 1 + -12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:03 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3555652 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466 a factor of 3108131604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {r: 1, o: 2, d: 10, f: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 1\/60*c**5 - 7\/12*c**4 + 0 - 15*c**2 - 7\/3*c**3 + 0*c. Let u be h(15). What is the second smallest value in u, -1, -0.1, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + 2\/(-8). Let z be -5 + 3 + g + -2. Let q = z - -10. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/707 and 16\/11?\nAnswer: 7777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 759, 1105, 1399, 1623, 1759, 1789, 1695?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 523458.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o = -2*d + 20, -5*o + 20 = 0. Suppose d = -4*r + 3*v, 3*r - 5*v = 1 - 21. Sort 4, 1, -4, r in descending order.\nAnswer: 4, 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -5, -0.5, 1395?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -6 - 19. Let u(b) = -2*b - 4. Let n(v) = 0*v - 6 - 3*v + 1 + 1. Let o(l) = -5*n(l) + 6*u(l). Let p(f) = -4*f + 5. Determine q*o(s) + 4*p(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4275.368 - -4276. Is -4 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15004987*u**3 - 14025253 wrt u.\nAnswer: 45014961*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, m: 9, i: 4}. What is prob of sequence mm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -24. Put 5, 0.2, 2, z in descending order.\nAnswer: z, 5, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5211*j - 78197. Determine i(-15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1348 + 2886. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 28017?\nAnswer: -28016.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 443206, 886412, 1329634, 1772872, 2216126, 2659396?\nAnswer: 3102682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + (-1378)\/13)*-10267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/((-306)\/(-232)) - 1. Let p = z + -6. Let l = p - 59\/51. Which is the third smallest value? (a) -5 (b) l (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 31, 1\/4, -12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3033697.\nAnswer: 3033697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7948545463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jomexootxxjeeoj. Give prob of sequence ot.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166 and 56.\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 750261270 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49917152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.5 + 12.5. What is the third biggest value in -4\/7, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(-3*sqrt(567) + sqrt(567)))**2 - (-2*sqrt(2) + 4 - sqrt(4)\/(sqrt(4)\/sqrt(2))).\nAnswer: -647\/162 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 995301677, 995301684, 995301693, 995301704, 995301717?\n\"Answer: b**2 + 4*b + 995301672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17878*f = 17872*f - 5*k + 51, -3*k + 29 = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 3938*x + 163139.\nAnswer: -(x - 3979)*(x + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*m = -532 - 52, 0 = 5*p + 2*m - 730. Let w = -66 + p. Suppose -o + w + 299 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 214.18 - 218.18. Which is the smallest value? (a) -0.11 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 40604\nAnswer: -162416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233 (base 9) to base 6.\nAnswer: 4133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -639.564 rounded to the nearest ten?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/257472 and 55\/288?\nAnswer: 257472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:53 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 2*a**2 - 5*a + 4. Let l be w(4). Let n = -14 + l. Suppose n*g - 6*g + 5 = -3*d, 4*d = -4*g + 40. What is the remainder when g is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 59 = -b. Let r be 2*(-2)\/b*4. Put 4, 9\/5, 2, r in ascending order.\nAnswer: r, 9\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884052889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5944*o + 282.\nAnswer: 5944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 10*p**2 - 5*p + 9. Let k = 52 + -48. Suppose -5 + 37 = k*v. What is the units digit of d(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 75.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 400333 - 23?\nAnswer: 400310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 - 1008*s**4 - 16498*s**3 - 73608*s**2 - 120520*s - 62400 = 0 for s.\nAnswer: -10, -3, -2, -1, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**3 - 84*p + 174*p - 3*p**3 - 90*p.\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -33 - 42. Let o be 2\/(-4) + l\/(-10). Let j be 4\/7 - (1 - 0). Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**5 + n**2 - 2. Let v(w) = -2*w**5 + 3*w**4 - 10*w**3 - 3*w**2 + 6. Let x(i) = -3*k(i) - v(i). Let x(q) = 0. What is q?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7*v = -2*v - 27, 2*b = -5*v + 23. Suppose 4*w + 20 = 0, -4*q - b*w + 0*w - 20 = 0. Suppose -5*r + 90 = -q*r. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 2}. Give prob of sequence ul.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 take away 3762?\nAnswer: -3812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 2*r - 23. Suppose 2*k = 6*k. Let m be w(k). Let z be (-3 - m)*2\/5. Solve z*l = 3*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*l - 28 = 0, -7*s - 164 = -12*s + 4*l. Which is the third biggest value? (a) -0.27 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6 - 0. Suppose j + 3 = c. Is 1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6609\/1202 + 1\/601. Let q(i) be the first derivative of -x*i**2 - 1 + 0*i. Calculate q(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 172\/16 - (-1)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10205\/117 - 4\/18. What is p rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 3587166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 4*t - 7*t. Let c = -7 - t. What is the remainder when c is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3*3\/(-2). Suppose b*g - 46 + 16 = 0. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*p + 30 = -5*i - 93*p, -2*p = 3*i + 20 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i - 32*i - 178 = 0. Let o = -3 - -5. Are o and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from uxymmmvumxeeye.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6685*y + 1353. Let s(h) = -3344*h - 680. Let g(r) = -10*n(r) - 22*s(r). What is the derivative of g(a) wrt a?\nAnswer: 6718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 875 (b) 5\/11 (c) 0.1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l - 3*l + 0*l)*(-5 - 3 + 6) - l + l - 2*l)*(0 - 1 + 0)*(-1 + 3 + 0)*(3 - 2 + 3).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 135 = -360. Suppose 0 = 3*z + z - o - 132, -o + u = 3*z. Suppose 3*a - 3 + 42 = 5*r, 4*r = 3*a + z. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-2*k**2 + 2*k**2 - k**3) + 3*k**3 + k**3 - 3*k**3 - k**2 + k**2 - k**3 + (-3*k + 1 + 4*k + 0*k)*(10*k**2 - 5*k**2 + 6*k**2).\nAnswer: 12*k**3 + 11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 112*t - 1192. Calculate s(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 13*o - 276. Let i be d(-20). What is the greatest common divisor of i and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p - 1460 = -5*t, 4*p = -2*t + 584. Let b = t + -170. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/3 of a hour?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -61. Suppose 4*f - 120 = s. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3)*6)\/((-12)\/(-87))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 - (4 - 1 - 0) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 9*t + 15. Let a be b(15). Let r = -97 + a. Suppose -2*s + 1107 + 1699 = -m, 2*m - r = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29403245*j**4 + 13*j**2 - 44252*j + 4 wrt j.\nAnswer: 705677880*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26834 + 20?\nAnswer: -26814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*c**2 + 5*c - 5*c - 30*c**2 + 12*c**2 + 846*c**5 + c**4 + 26 wrt c?\nAnswer: 50760*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.239 + 33.639. What is d rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -13*c**3 + 4*c**2 - 3*c - 2. Let x(k) = -26*k**3 + 7*k**2 - 5*k - 4. Give -7*r(o) + 4*x(o).\nAnswer: -13*o**3 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 84*o - 1888. What is the remainder when i(24) is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1064\/513 + (-4)\/54. Suppose q*k - 13 = -3*j, -94 = -4*j - 5*k - 72. Let n(d) = -1. Let p(f) = f - 6. Let g(r) = -6*n(r) + p(r). Determine g(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**4 - 9 - 2*k + 2*k - k**3 + 8 to the form l*k + n*k**4 + s*k**2 + r + u*k**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-32)\/(-12))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/2064 and -167\/5820.\nAnswer: 1001040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1579.\nAnswer: 315.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-8)*l**(-3\/5))\/(l*l*l**1*l**5\/l))\/((l\/(l*((l*l**(2\/3))\/l)\/l))**5\/(l\/(l**(2\/7)\/l))**(-40)) assuming l is positive.\nAnswer: l**(-9013\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(245))**2 - (-5 + 3*sqrt(5) + sqrt(5)).\nAnswer: 10*sqrt(5) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = t - 3*t. Let d be (t\/(-3))\/(4\/(-6)). Suppose -3*c = -3*a - 91 - 17, d*c + a = 149. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -7*d - 141, 2*d - 1805*f = -1810*f - 368 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11506\/(-60) + 6\/(-15). Let j = 214 + s. Calculate the common denominator of j and 66\/(-28) + 14 + -11.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255 + 47380\/(-184) - (-318)\/124?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 - (1 - -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5993 - 3769 = 3*u. Let i = -1269 - u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/42*84\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 16*o**2 + 26*o - 32. Suppose 5*q + 30 + 65 = 0. Let a = q - -36. Is x(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -246 + 490. Let j = h + -241. Is -25 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 52\/(-12))*-18. Let h = 168 + l. What is h rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17788675 is divided by 8894332.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5. Let o be -2 - (-2 - (-5 + -1)\/(-3)). Which is the biggest value? (a) -3 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64886.1 - -64886. Let x = -1 - -2. What is the nearest to h in x, -0.032, 3?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -249, -233, -215, -195, -173, -149?\n\"Answer: f**2 + 13*f - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 130 = -7*a. Suppose o - 25 = 23. What is the remainder when o is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/20289609 and -20\/2254401?\nAnswer: 20289609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:56 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 - 3*x + 0 - 2*x**2 - 3 + (26*x - 4*x + 30*x)*(4*x + 5 - 5).\nAnswer: 210*x**2 - 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 130036301?\nAnswer: 130036322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-68 - -55) + (-1 - 13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -25. Solve 2*j - 16 = n*p, -p = 5*j - 1 - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19068mg in grams?\nAnswer: 0.00119068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9612)\/(-2670))\/(19\/(12825\/(-18))).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 77.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3358581 + -14.3358021. Let h = 14.25 + -0.25. Let k = h + a. Round k to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*b + 15 = -5, 0 = -2*b + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - x. Let w(q) = 1. Let r(m) = m + 6. Let u(l) = -r(l) + 6*w(l). Let c(z) = 2*u(z) - 2*y(z). Let b(j) = 1 - 1 + j**2. Determine b(c(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2613729373\/642159 - -51\/71351. Let h = l - 4075. Calculate the common denominator of h and 37\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(7))**2 - 6*(sqrt(7) + sqrt(343)) - (sqrt(343) - (1 + sqrt(343))*-1)*6.\nAnswer: -134*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-41443 + 0)*148\/(-148) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y + 1. Calculate the remainder when (18 + 125\/(-20))*12*4\/12 is divided by k(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.058 + 2.058. Put 7\/6, o, 0.1, 4 in descending order.\nAnswer: 4, o, 7\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*n = 60*n + 4186 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 193122 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + -1 + -2*(sqrt(500) - sqrt(5))).\nAnswer: -108*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7*n = -6200. Round n to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*j = 1627 - 1937. Factor 7\/8*r - 1\/8*r**j - 5\/4.\nAnswer: -(r - 5)*(r - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*n - 7. Let u = n - -67. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1023, 1052, 1079, 1104?\n\"Answer: -w**2 + 32*w + 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 2*h + 4*h**2 + 3 - 1 - h**3. Suppose -4*j + 2*j = -102. Let f(n) = -9*n**3 + 33*n**2 + 25*n + 17. Let r(l) = j*d(l) - 6*f(l). Factor r(z).\nAnswer: 3*z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1237641\/17630 - 3\/3526. Let d = b - 70. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23561*t**4 - t**3 + 88*t**2 + 2716903 wrt t?\nAnswer: 94244*t**3 - 3*t**2 + 176*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -26, -51, -94, -161, -258, -391, -566?\n\"Answer: -r**3 - 6*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + 5*sqrt(33)\/sqrt(3))*-3.\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4246429 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24654 + 4984.\nAnswer: 4983.75346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23922 + 74380 - 26539 + 52*x**2 - 23919.\nAnswer: 52*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-z + 1 - 1) - 3 + 14*z - 26*z + 60*z.\nAnswer: 47*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 33 = g + g, -4*g - 16 = 0. Calculate the remainder when 285 is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fccofwxorwxcwo. What is prob of picking 1 x and 2 w?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 32*j - 187. Let y(g) = 88*g + 5. What is the remainder when y(3) is divided by z(-15)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29859056683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61 - 68 + 70)*(3*j + 2*j - 4*j)*(2*j**3 + 2*j**3 - 3*j**3) to i*j + v*j**3 + l + b*j**2 + o*j**4 and give o.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*k + 135. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3071350110 to the nearest integer?\nAnswer: 55420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let x be 1 + 4 - 1 - 1. Let k(n) = n**2 + n + 1. Let c(l) = 10*l**2 + 3*l + 3. Let i(q) = x*k(q) - c(q). Determine y(i(u)).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/5)\/((-3)\/(-15)). Let p = -1311744 - -3037998517\/2316. Let j = p - -2\/579. What is the third smallest value in j, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(20\/7))\/(t*t*(t*t**(-18))\/t) assuming t is positive.\nAnswer: t**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 2121?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 51436.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491013 is divided by 37761?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/15 - 19\/45. Suppose -2998*i + 50 = -3008*i. Which is the closest to 1\/5? (a) 5 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.87 - 0.13. Let g = -3397.6 - -3398. Which is the nearest to -2? (a) g (b) -2\/5 (c) u (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55604256 or -55604251?\nAnswer: -55604251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f = -12. Suppose 0 = -c + f*c. Suppose -2*q + 9 + 3 = c. What is the highest common divisor of q and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6349, -12710, -19071, -25432, -31793?\n\"Answer: -6361*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 113 = 19. Let n be 1\/(-2 - w\/6). Let z = 11 + -7. What is the closest to 1 in n, z, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**21*m)\/m*m)\/(m\/(m**11\/m)))\/(m**(-3\/7)\/m**26))**(31\/4) assuming m is positive.\nAnswer: m**(6231\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, w: 6}. What is prob of picking 3 w?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 54*n**2 - 2*n - 1. Let y be k(-1). Let s be 1\/(-2) + (-1)\/(-2). Suppose -5*t = -s*t - y. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 16686989?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -512 bigger than -510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*((-349)\/6 + (-17)\/51) is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z - 72840 = 866*z + 1003*z for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s + 5. Let f be t(-6). Let a = -49 - f. Suppose -26*m - a = -27*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18024*w + 8 = 18027*w - 4*o, -24 = 4*w - o - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 132*h**4 + 744*h**3 - 1456*h**2 + 960*h = 0. Calculate h.\nAnswer: 0, 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 6*t + 1. Let h(b) = -5*b - 12*b - 4*b**3 - 3 + 2*b**3 - 3*b**3. Let s = -21 - -32. Give s*f(r) + 4*h(r).\nAnswer: 2*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10570, -20871, -31172, -41473, -51774?\n\"Answer: -10301*g - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 267428 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003315 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*y + 4. Let w = 8 + y. Solve d = -3*a + 3, d + 2*a = -w*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -572, -597, -660, -779, -972?\n\"Answer: -3*t**3 - t**2 - t - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23510 (base 6) to base 3\nAnswer: 11200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 4*f. Solve -2*g - 11 = -3*r - f*r, -4*r - g = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224 + 18. Let b = m - -205.714. Let k = -0.28599861 - b. Round k to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 - -2522.053.\nAnswer: 2521.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 14*l = 2*v + 21, 0 = v + 2*l + 8. Calculate the common denominator of -55\/12 and 1666\/924 + v\/(-3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10215062214 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -326*o**3 + o**2 + 2*o + 2. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6303*f**2 - 21*f - 4. Let y(n) = -6304*n**2 - 23*n - 7. Let x(v) = -4*h(v) + 3*y(v). What is the second derivative of x(a) wrt a?\nAnswer: 12600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -5. Let q(c) be the second derivative of -7*c**4\/12 - c**3\/6 - 194*c. Give q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36625.9 and 4.\nAnswer: -36621.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343741513?\nAnswer: 17, 1189417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/5 (b) -2698 (c) -4 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5124 by 3.\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-14)\/(-2) + 2. Let g be 92\/(-10) + k\/65. Let z(s) = -12*s + 9. What is the tens digit of z(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2198199264?\nAnswer: 2, 3, 22897909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-15 - -16 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:03 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71529091 rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 28*a**4 - 20*a**3 - 288*a**2 - 304*a - 64 = 0.\nAnswer: -2, -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z + 2. Let u = -12 - -11. Let x be z*((-6)\/3)\/u. Sort 1, x, 4 in increasing order.\nAnswer: x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54531475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 + 5*x - 5. Let j be c(1). Let v(w) = -51*w - 24. Is 36 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times -3093\nAnswer: 463.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10022)\/(-8) - (-15)\/60?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - w = -2*w - 9, -4*h + 10 = -2*w. Solve 6 - 2 = h*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*p**3 - 22*p**3 - p**2 + p**2 - 67*p**3.\nAnswer: -382*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16593\/742 greater than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -34*v**3 - 6*v**2 - 64*v - 161. Is t(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*v + 70 = 0, -5*r = 5*v - 2*v - 86. Let k be (4\/6)\/((-4)\/(-18)). Suppose -3*t - 1 = -r, -3525 = 3*c + k*t. Round c to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 23*f + 47. Calculate q(19).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose 0 = -z - 5*x + 7, -3*x = 2*z - 0*x - 7. Let d be (0 + 4\/(-6))\/z. What is the closest to d in 0, 0.2, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850 + 227485*d + 850.\nAnswer: 227485*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g - 29. Is 11 a factor of q(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j = 40*j + b + 10, 8*j - b = -45 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/3 - 33074*u**3\/3 - 596790*u**2 - 8063226*u = 0. What is u?\nAnswer: -27, 0, 16591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3757 + -3759. Which is the nearest to -0.1? (a) 3 (b) 6 (c) 2\/9 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (855 - -9 - -7)*2. Suppose -d + 3*w - u = -2*d, 1742 = d - 2*w. List the prime factors of d.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209\/(-399) - 6\/(-7)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ba97d + -6?\nAnswer: 4ba977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 151019*g**2 + 10*g - 1. Suppose 3*s = -0*s + 21. Let x be q(s). What is x rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1456.9*-0.16.\nAnswer: -233.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2897891.\nAnswer: 911, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 1, n: 2, h: 2}. Give prob of picking 2 o, 1 v, and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -176*c**2 + c. Let y(f) = -f. Determine s(y(k)).\nAnswer: -176*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-19)*v*v**31)\/(v**34)**(1\/53) assuming v is positive.\nAnswer: v**(2775\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 284\/1148579 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 11 - 19. What is the highest common factor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -70*z**3 + 213*z**2 + 66*z - 194. Calculate y(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (sqrt(495)*-1)\/sqrt(9) + sqrt(55))\/sqrt(11) + 1.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 59.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-5) - 2)*3*(-4)\/60.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -30*r**3 + 3*r**2 + 4*r + 1. Let d be f(-1). Suppose 3*v = -4*y - 8954, -d*y - 3*v + 8966 = -34*y. What is y rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -26. Let f = -1.5 + 2. Let y = f + 1.5. Which is the nearest to 1? (a) y (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10171681 to the power of 1\/2, to the nearest integer?\nAnswer: 3189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -1 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(110)*-2 - sqrt(110) - sqrt(110)) + sqrt(110) - sqrt(110)) - sqrt(110)*2*5)\/(sqrt(90)\/(sqrt(27)\/sqrt(3)) + sqrt(40)*-6).\nAnswer: -2*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 13*l**2 + l - 9. Let n be s(13). What is the highest common divisor of 64 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3948.2 + 3948. What is the nearest to j in -0.4, -4, -0.9, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/(-8)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i + d + 42 - 127 = 0, 5*i - d - 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/45 in 2, -1\/6, -3, -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/2, 0.5, -312.786?\nAnswer: -312.786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7*8\/(-28))\/(-6 - -3). Let j(h) be the third derivative of h**4\/24 + h**3\/3 + h**2. Let k be j(2). Which is the biggest value? (a) 0 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 4018. Let x(u) = -2*u - 3978. Determine 5*j(p) + 6*x(p).\nAnswer: -2*p - 3778","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5637438975?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 174*x**4 - 1 - 88*x**4 + 0*x**2 - 88*x**4 + x**2 + 3*x**3 as s*x**4 + p*x**3 + o + f*x**2 + n*x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, w: 5}. What is prob of picking 2 x and 1 w?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100979876.\nAnswer: 2, 47, 537127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxcxxxxciix. Give prob of sequence ccx.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence illl when four letters picked without replacement from pwlwplccliwqcp.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0 = 12. Suppose 4*z = k*s + 29, -2*s - 16 = -z - 5. Let c(n) = 3*n. Is 3 a factor of c(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 63, 0.03, -0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*v - 147 - 103. Sort 2, 469, v in ascending order.\nAnswer: 2, v, 469","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73731201 or 73731200?\nAnswer: 73731201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.047, 0.3, -0.4, -1647.\nAnswer: -1647, -0.4, 0.047, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18019377743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -587?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + (-124)\/(-24))*18. What is the units digit of (-466 + (l - 4))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*z**2 + 64*z**2 - 15 - 176*z**2 + 55*z**2 in the form i*z + n + l*z**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170480 or 170485?\nAnswer: 170485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171579739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -147510 - 5302?\nAnswer: -155012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117\/4 + 29. Which is the nearest to x? (a) -14 (b) -1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = -22*a - 10. Suppose -5*c - o - 2*o = -26, -2*c = a*o - 8. Let d(z) = z**2 + 15*z + 10. List the prime factors of d(c).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akpkpapkkkkpakkak. Give prob of picking 2 p and 2 a.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - -25. Let w = -181 - -181. What is the remainder when g is divided by w - ((-6)\/16 + 308\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 7*q**5\/5 - 47*q**4\/5 + 21*q**3\/5 + 59*q**2\/5 - 28*q\/5 - 12\/5 = 0.\nAnswer: -1, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 33*k - 1. What is the remainder when l(4) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 5*b + 11. Let p(i) = -i**3 - 51*i**2 - 5*i - 261. Let x be p(-51). What is u(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30870 + -30850 + (13 - (0 + 0)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7 = 3*v, 6 = w + v + 1. Suppose w*m = m. Suppose -t + 6*t + 10 = m. Which is smaller: -9\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9616116 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 131412086 a multiple of 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.6, -40, 3, -2 in increasing order.\nAnswer: -40, -2, -0.6, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**2*v**4 - 9*r**2 - 386*r*v**4 - 4*r*v - 3*v wrt v.\nAnswer: -36*r**2*v**2 - 4632*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7029\/11502 + 10\/(-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2497*n**2\/4 + 11081*n\/8 - 1093\/4.\nAnswer: -(n - 2)*(4994*n - 1093)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570924 = 134*j - 170*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-210 - -214) + 5 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 - 59. Let i = -50 + a. Put i, -69, -2 in decreasing order.\nAnswer: i, -2, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 - n**4 + 0*n**4 + (0*n**4 - n**4 - n**4)*(0 - 2 + 1) + 3*n**4 - 3*n**4 - n**4 - n**2 + n**4 + n**2 + 10*n**4 + 20*n**3 - 20*n**3.\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4 + 9824*n**3 - 9047904*n**2 + 3703608704*n - 568503936064 = 0. Calculate n.\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 10*w + 12. Let n be m(-8). Let r = -17420 + 17420. Put n, r, 8 in increasing order.\nAnswer: n, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/120 - 7*d**5\/30 + 2*d**2. What is the third derivative of h(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73466.899999 + 73467.5. Let f = -7 - -6.4. Let o = q + f. What is o rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + (-9)\/6*-2. Let k be s\/15*3\/(-24). What is the third biggest value in -4, 5\/6, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**3 - 6*a**2 - 12*a + 28. Determine s(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 2)**2 + sqrt(7) + (-2 + sqrt(252))**2.\nAnswer: -7*sqrt(7) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = 18*z - 17*z. What are the prime factors of z?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {s: 7, t: 4, e: 1, b: 2, r: 5}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/(12\/20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 663313484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 4. Let h(k) = k - 4. Let g be h(7). Suppose -5*l + g = -m. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2446*o - 15596 + 75534 = -2020 - 101924 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443250 (base 6) in base 14?\nAnswer: d6d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*q**2 - 4*q**2 - 6*q**2.\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*u - 84 - 159 = 0, -2*f = 3*u - 474. What is the greatest common factor of f and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {d: 4, e: 3, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 33193286?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 10766. Let u(o) = 2*o. What is u(d(p))?\nAnswer: -2*p + 21532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - -7) + -2 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7863906557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34744971 to the nearest integer?\nAnswer: 5894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4))**45*p*(p**(3\/2)*p)\/p*p\/p**3 assuming p is positive.\nAnswer: p**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*q = -1060, -2*q + 3*q + 2638 = 5*s. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 != 656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.172 and 0.08.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -234 + 653. Let p = i - 415. Which is the third smallest value? (a) -4 (b) 2\/7 (c) p (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 22*g = 24*g - 19 + 25, -54 = -2*x - 22*g for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 545343752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f - 5. What is the units digit of k(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1676*z - 1676*z - 9*z**3 - 12*z**2 - 10*z**3 + 16*z**3 - 18 to the form s*z**2 + i*z + p + f*z**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4624 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -439*w**5\/60 - 4*w**4\/3 - 13*w**3\/6 - 578*w**2. Find the second derivative of u(f) wrt f.\nAnswer: -878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 208, 405, 602?\n\"Answer: 197*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282282, 282283, 282284, 282285?\nAnswer: 282286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3945734 to 4 dps.\nAnswer: 0.3946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 20*x**2 - 20*x - 31. Calculate o(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84687402?\nAnswer: 2, 3, 97, 145511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let i(m) = -11*m**2 + 35. Give i(t(j)).\nAnswer: -44*j**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1000100010000010 (base 2) to base 3\nAnswer: -1202221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*b - 17, -10*b + 11*b - 4 = 0. Let n be (5\/(-15) + 10\/3)*l. Solve 5*h - 37 = -n*t, -5*t + 17 + 13 = 2*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(0 + 1 - 8)*(q**3 + 4*q**3 - 4*q**3) to the form u*q**2 + o + c*q + s*q**3 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3131 is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 8*j**2 - 2*j. Determine q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 32. Is 26 a factor of o\/(((-4)\/(-728))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-1\/3))\/n*n**(-10) assuming n is positive.\nAnswer: n**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1066, 8638, 29276, 69538, 135982?\nAnswer: 235166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 22 = 5*z, 4*z - 22 = 5*m + 13. Let o be -1*z - (-2 - -1). Which is smaller: -5 or o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/10 - 2\/4. Let z be (0 - -4)*1\/x. Let a(t) = -3*t**z + t**2 + 3*t**2. Let n(i) = -i. Determine n(a(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 9*n**2 + 8*n + 5. Let z be i(-8). Which is the biggest value? (a) -4 (b) z (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 4*m + 2. Let n(o) be the second derivative of -o**3\/6 - o**2\/2 - 2*o. Let r be n(3). Calculate the remainder when 4 is divided by g(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**3 + 84*f**2 + 80*f = 0?\nAnswer: -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.6 - -62.4. Let d = y + -34. Let z = d - 31. Are z and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 30\/4*37268\/385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/8)*a**(-1\/3)*(a*a**(2\/5))\/(a**7*a*a) assuming a is positive.\nAnswer: a**(-937\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 1230?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2347 and -29.\nAnswer: 68063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h - 1. Let k(b) = 9*b. Let v(o) = 50*o. Let z(t) = 11*k(t) - 2*v(t). Calculate -n(r) - 5*z(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11499 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*h + 9734 = 146*h for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.114 + -121.657. Let f = m + 158. Round f to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2 - 5*x + 6. Let w be i(4). Suppose 14 = -2*h - w. Is (-1)\/(-3 + 2) - h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -5*w**6\/12 + w**5\/5 + 5*w**4\/4 - 2*w**3\/3 - 5*w**2\/4 + w - 3469. Determine u so that b(u) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Let g(x) = -x**3 - 4*x + 5. Let c be g(1). Let t(h) be the third derivative of c*h**3 + 0*h - h**2 + 0 + 0*h**4 - 1\/30*h**5. What is u(t(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1607083 - 5?\nAnswer: 1607077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1028 by -64.\nAnswer: 257\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + sqrt(20)\/sqrt(250)) - (sqrt(14)\/(4*sqrt(1008) + sqrt(1008) + sqrt(1008)) + -5).\nAnswer: -15 + 283*sqrt(2)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 6)*(-6*z + 2*z - z) in the form a + n*z and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 - 1. Let b(a) = -5*a + 5. Let v be b(-5). Let j = 59 - v. Suppose -k = j - 28. Determine u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121*l**2 - 239*l - 324033.\nAnswer: 242*l - 239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39744807 is divided by 3312066.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, h: 3, m: 2, s: 3, k: 2, q: 1}. Give prob of sequence hq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:06 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 + 5*o + 4*o**4 + 9 - 6*o + 2*o**5 wrt o?\nAnswer: 40*o**3 + 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2239*y**2 + 8*y**3 + 2239*y**2 + 33*y.\nAnswer: 8*y**3 + 33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/5*(-1)\/(-6)*(-2)\/(-30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 17957891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - -504. List the prime factors of v.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 39. Determine y(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(sqrt(325) + 2) + 3)**2 + 4.\nAnswer: 550*sqrt(13) + 8250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/67)\/(2\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 0.5, -0.3 in increasing order.\nAnswer: -0.3, 0, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -899\/55 + 193\/11. Find the common denominator of (-588)\/104 - 2 - -5 and o.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 0. Suppose -g*p + 180 = -4*p. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13039 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -192 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.68706 days in seconds?\nAnswer: 7921761.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3792480 by 32.\nAnswer: -118515","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*4\/(-6). Let v = l - -3. Solve -5*z - v + 29 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -855 in -5\/4, -0.014, 0, -351?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -582 - -583.186. Let i = 5.884 + o. What is i rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 2. Suppose 6*y = y + 20. Suppose -4*o - y = 4. Determine p(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144.46 + 0.54. Let k = 145.00244 - h. Round k to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Let k = 25 + -28. Let w(o) = -2*o**2 - 2*o - 12. Let y(a) = -a**2 - a - 4. Let x(n) = k*w(n) + 8*y(n). What is 3*l(m) - x(m)?\nAnswer: 2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 407\/(-37)*81\/594?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 651\/2 + -339. What is the common denominator of b and -16\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - t**2 - t + 4. Let x be (0\/1)\/(-4 + 3). List the prime factors of y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-20)\/(-6))*(-8)\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 77 + 13 = 0. Let h = z + -19. Let r be 6 - h\/((-2)\/4). Solve 0*w - r*w = -12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**4 + 8*t**3 + 76*t**2 + 97*t + 55. Let i(g) = 2*g**4 + 10*g**3 + 76*g**2 + 98*g + 54. Let j(h) = 7*i(h) - 6*n(h). Factor j(q).\nAnswer: 2*(q + 1)*(q + 2)**2*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -83, -124, -113, -56, 41, 172, 331?\n\"Answer: -t**3 + 32*t**2 - 130*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1710)\/420)\/(-19)*14\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/11 - 380*k**3\/11 - 2352*k**2\/11 = 0?\nAnswer: -6, 0, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1873 - 1869. Let p = -31 - -58. Suppose 2*h = 4*u - 31 - p, -u + 1 = -5*h. Calculate the smallest common multiple of u and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, w: 2}. What is prob of picking 2 j?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284330947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 3*h - 2*h**2 + 4*h)*(-514*h + 39*h - 195*h).\nAnswer: -2010*h**3 - 670*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -126685 divided by -5?\nAnswer: 25337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10818284 - 4979.\nAnswer: -10823263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 3*o**2 + 193 + 5*o**3 - 191 - 3*o**3 - o**3. What is m(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-41 + 47 - (2 - 1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 32. Let p(d) = -8*d - 97. Let n(m) = -6*p(m) + 17*y(m). Let t be n(10). Suppose 4*c - t*c = -292. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 11*a + 13. Let y be l(10). Suppose -2*s - 32 = -4*g, -5*g + 63 = -s + y. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -26, -52, -86?\n\"Answer: -4*r**2 - 6*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -21013?\nAnswer: -21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8939 + 4449. Round i to the nearest 100.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38253 by -2.\nAnswer: 38253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -661 at least -675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.113 - 0.113. Let m be ((-2)\/20)\/(28\/(-210)). Let i = 0 - -5. Sort m, z, i in increasing order.\nAnswer: m, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 2. Let v(u) = -u - 4. Let r be 2*(18\/(-3))\/3. Let z be v(r). Let n(l) = 0*l + 3 + z + l + 3*l. Determine 4*n(q) - 5*y(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.84 - -32.84. What is the nearest to a in 0.2, -3\/7, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(1\/2))*z**(-9))\/(z**10\/z*z\/z**(-2\/63)) assuming z is positive.\nAnswer: z**(-2335\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/103 + -191\/1545. Which is the second biggest value? (a) -3\/4 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -179. What is the greatest common factor of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**4)\/u)*u)**(-3\/4)\/(u**(-11)*(u\/(u*u*u*u**(7\/2)))\/u) assuming u is positive.\nAnswer: u**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15194655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -915 + 924. Let c(y) = 61*y**3 - 2*y + 1. Calculate the remainder when c(1) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, h: 2, v: 3}. Give prob of sequence vuvu.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/3*((-3259203)\/(-152) - -9)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567743187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 515076389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**3\/2 + 83*g + 8. Let m(n) = 2*n**2 - 9. Determine m(x(b)).\nAnswer: 18*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/24255 and 68\/825.\nAnswer: 121275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3 - 28*u**2 + 60*u = 0. What is u?\nAnswer: -30, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -143*m**3 - 2*m**2 - 2*m - 1. What is the units digit of r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -2\/7 (c) -0.01 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26972715*x - 13486404*x - 13486314*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14752780 divided by -4?\nAnswer: -3688195","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 350 = 23. Let g = q - 37603\/115. Let d be 1\/(8\/(-2) + 5). Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/1 - 3 - 1. Suppose 0 = -j*z - z + 4. Let s be 19\/7 - (-68)\/238. Solve 2 = 5*d - 3*y - z, -y + 12 = s*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1006 + 1008. What is the third derivative of -34669*a**4 - a + 34508*a**4 + 17*a**j + 3*a wrt a?\nAnswer: -3864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*u = -10*u. Let z(o) = 2*o - 7 + u*o + 9 - 3*o. Let f(x) = x**2. Calculate z(f(s)).\nAnswer: -s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {e: 2, n: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 0, -1091, 1, -105 in ascending order.\nAnswer: -1091, -105, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5*(a\/(((a*a**(-2\/7)*a)\/a)\/a)*a)\/a*a*(a**0\/a)**(-4)*(a**(-6)\/(a*a\/(a\/(a*a\/((a\/a**(-1\/7))\/a*a*a)))*a))\/((a\/a**0)\/a**5) assuming a is positive.\nAnswer: a**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g. Suppose -b + 0*b + 23 = g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 3 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2. Let r(j) = 674*j**2 + 418*j + 209 + 114*j**2 + 979*j**2. Let y(l) = 17*l**2 + 4*l + 2. Let a(g) = 4*r(g) - 418*y(g). Give c(a(f)).\nAnswer: -4332*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2073246252 and 924.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15358813 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from jjjjxjjxjxjjjjjxjjjj?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**2 - 3*p**2)*((-4*p**2 + 3*p**2 + 0*p**2)*(1 - 1 - 1) + 6*p**2 + p**2 - 2*p**2).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 510844487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*u + 19, -2*x + 0 = u - 5. Let d = 74 - u. Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by 135\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 + -108. Let m be (-1)\/(-4) + (-2782)\/(-8). Let h = m - y. What is h rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737725551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18930 = 3*c + 3*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 420 = 6*y. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-12)*(-12)\/2. Let z be ((-2)\/1 - -2)\/(-1). Suppose z*u - d*u = -14. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1583388 and 37\/12139308?\nAnswer: 36417924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2, 10 in decreasing order.\nAnswer: 10, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 + -5 + 12) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870 and 805330?\nAnswer: 2415990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 421941674 and 1078?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -32*s. Let q(x) be the second derivative of -x**3\/2 - 19*x + 3. Give q(t(m)).\nAnswer: 96*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 35, 74, 133, 218, 335, 490?\n\"Answer: o**3 + o**2 + 15*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 11, o: 5}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from aoqoaoao.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 6. Let b(v) = v**2 + 8*v. Let s be b(w). Factor -15\/2*j**2 + 3*j - 3\/2*j**4 + 6*j**3 + s.\nAnswer: -3*j*(j - 2)*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Let x(a) = a + 7. Let y be x(f). Solve 2*j - y - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 1:19 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g + 128*g = -545*g + 2324 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (24\/8*-2)\/(-9 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 191*p + 1000. Let f be b(5). Solve 110 = -5*a + f for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:07 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 5*r**2 - 19*r - 16. List the prime factors of q(-5).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -470, -3 in increasing order.\nAnswer: -470, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 3*a**2 + 6*a - 3. What is u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z - 7. Suppose -5*f + 92 = -4*x, -x + 0*x = -2. Suppose 0 = 6*v - 2*v + f. Calculate n(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c25a (base 15) in base 13?\nAnswer: 158a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t**3 + 120*t**2 - 286*t**3 - 2*t + 122*t**2 - 244*t**2.\nAnswer: -313*t**3 - 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/120*-48*(2 - -23).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -200*i - 245. List the prime factors of d(-6).\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 14042249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0*b**1\/b)\/(b**(-1)\/(b\/b**3)) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1432*j**3*w - 9989925*j**3 + 7*j*w - 10*w wrt w.\nAnswer: -1432*j**3 + 7*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**4 - 355154664*m**3 + 14014981825157430*m**2 - 184351347085356103086336*m + 184351333070374633083567 = 0.\nAnswer: 1, 39461629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.447 - 0.427. Put 0.8, -4\/3, 3, x in decreasing order.\nAnswer: 3, 0.8, x, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Suppose -6*s + 4*f + 25 = -s, -20 = -5*s + 3*f. Solve m*l - s = -9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -32.7. What is the nearest to 0 in 0, -4, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5994217 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 9. Let y be w(-4). Let v = -15178 - -15177.8. Which is the second biggest value? (a) 0.23 (b) y (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, 65, -4, 4 in descending order.\nAnswer: 65, 4, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/10 - 74*d**2\/5.\nAnswer: d**2*(d - 148)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 32 - -1 - (7 - (12 + -18))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 141 - 213)*(-a**4 - 4*a**4 + 3*a**4) - 61*a**4 - 112*a + 112*a.\nAnswer: 521*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-462)\/28 - (-80)\/5. Let q = -23\/5 + 21\/5. Which is the nearest to 0? (a) v (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.115 + 0.215. Put 4, x, 8\/5, -2\/9 in descending order.\nAnswer: 4, 8\/5, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1697027959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - 2*y**2)*(-18*y**3 + 5*y**3 - 11*y**3) + (2*y**2 + 2*y - 2*y)*(4*y**2 + y**2 - 4*y**2)*(4*y + 11*y + 8*y) - y**5 - 4*y**5 + 3*y**5.\nAnswer: 92*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/31 (b) 4\/7 (c) 14 (d) -0.3 (e) 0.3 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 55*l**3 + 2091*l**2 + 34*l - 91. What is s(-38)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(20\/16) + 4. Let p be (3 + (h - 2))*1*30. Suppose -2*v + 6 = v, -2*x = -4*v - p. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275471b (base 12) to base 5\nAnswer: 4000403130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22935792 and 44528?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1863 by -40388.\nAnswer: 81\/1756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m - 742 + 294 = -2*o, -6*o = 4*m + 120 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4151 - -24907\/6. Which is the second biggest value? (a) d (b) -8 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2) + 2\/((-8)\/38). What is the third biggest value in -0.3, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4 - 453*d**3 + 3044*d.\nAnswer: -24*d**2 - 2718*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25\/((-3402)\/847 + 4)*-2.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(243)*-3*-3*-5 + 5)**2.\nAnswer: -24300*sqrt(3) + 17714725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1076.913 - -1077. Which is the third biggest value? (a) 0.3 (b) -0.5 (c) f (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297b2 (base 13) in base 2?\nAnswer: -10011000110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 79 + 7*d + d + 17*d + 7*d - 30*d.\nAnswer: 2*d - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-39) - (252\/52 + 0). Let d be i*(-3)\/(-6)*8\/(-10). Suppose -3*o - 5819 - 193 = 3*j, d*j = -8. Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -15 - (-27 - (-7 - 10)) - 11\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3402)\/30)\/27)\/(17\/(153\/54)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooxo when four letters picked without replacement from {y: 8, x: 5, o: 5}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 636 - 1029 = 0. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 1. Let d be x(-1). Let f be 1 - (-2 - d\/(-3)). Suppose 28 = 3*u + 2*r + f, -2*r = -u - 5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 7 - 4 + 1)*(-170*f + 170*f - 26*f**2).\nAnswer: 52*f**3 - 104*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47552 - 47504. Suppose 5*l + 9 - 169 = 0. What is the greatest common factor of l and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3910, -21921, -51940, -93967, -148002?\n\"Answer: -6004*n**2 + n + 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/92214080 and 99\/320.\nAnswer: 92214080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 37, 78, 153, 274?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 27 = -2*u, -g + 19209 = 43*u + 19724 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.389 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**29\/k)**(5\/8) assuming k is positive.\nAnswer: k**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, j: 7, n: 3}. Give prob of picking 2 j and 1 t.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3325 and 114.\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -21*m - 41. Let p(b) = 11*b + 21. Let l(w) = 3*d(w) + 7*p(w). Calculate the remainder when l(16) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -12. Let i(g) = 448*g**2 - 238*g**2 - 211*g**2 - 12*g - 10. Determine i(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*s - 3, -2*t = 24*s - 22*s + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + 6*y - 5. Let f be n(1). Let u(b) = b**2 - b + 1. Let z be u(f). Let h(s) = -s**3 + 9*s**2 - 5*s + 13. What is the units digit of h(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -48. Suppose u - n + p = 84, -4*n - 347 = -5*u. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 3\/4 (c) 45385 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 1, y: 1, k: 5, o: 2}. Give prob of sequence ukt.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (11 - 21) + 2 + 1 - -13.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 672596\/7 - 96783. Let s = a + 160631\/231. Calculate the common denominator of -32\/21 and s.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-462)\/(-11) + (1 - -5). Let n be (-60)\/f - 84\/(-16). Solve 0 = -n*u - 14 + 34 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 9:17 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:02 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -17 + 3. What is the tens digit of (-3)\/((-12)\/464*g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -66. Suppose 2*p = -r + 3*r + y, -52 = -4*p - r. Let i(x) = x**2 - 1. Calculate the remainder when i(-5) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*n - 7 = -42, -4*r = -3*n - 29. Let x = r - 3. What is y in -x*y**4 + 0*y**2 - 6*y**3 + 4*y**2 - y**4 + 5*y**4 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d - 4. Let f(b) = 31*b - 125. Let q(n) = -20*n + 91. Let z(i) = -5*f(i) - 7*q(i). Give 11*a(l) - 4*z(l).\nAnswer: 5*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 j when four letters picked without replacement from {j: 7, t: 5}.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*w = -80, -26*w + 8 = -24*w. Let p(l) = -l - 11. Calculate p(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 2*5\/2. Suppose 1645*r + 10 = 1635*r. What is the closest to -1 in 0.5, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:36 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6413043 is divided by 1068757?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*g**5*i**3 - 7225*g**3*i**2 + 103*g**2*i - 7475*g*i**3 wrt g?\nAnswer: -5160*g**2*i**3 - 43350*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -61 - 79) + 27.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 12 - 10*i**2 - 5*i**2 + 9*i**2 - 2*i to the form j*i**2 + g*i + u and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (29 - (-29 + 51) - (0 - -9)) + 10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 g when four letters picked without replacement from {g: 9, u: 11}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*8\/(-48))\/((-4)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 499 + -496. Suppose 0 = 5*f + j*x - 220036, 2*f - 4*x = 16651 + 71379. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1183332 divided by -186?\nAnswer: 6362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Suppose 0 = -5*y - o*k + 99, k - 82 = -4*y - 0*k. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {t: 7, z: 2, k: 7}.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -914 - -1829\/2. Which is the nearest to -1? (a) 2 (b) -7 (c) k (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 + 2*a**5 + 3*a**5 + (-11*a**2 - 15*a**2 + 3*a**2)*(-3*a**2 + 2*a**2 + 3*a**2)*(4*a - 4*a + a).\nAnswer: -45*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 14*n + 0*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 - 69.1. Let b = j + -6. Let d be 1\/10*(0 + 1). What is the nearest to b in d, -0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 749, 801, 939, 1205, 1641, 2289, 3191?\nAnswer: 4389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21, -1, 520, 5, -4 in decreasing order.\nAnswer: 520, 21, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 25)*(3 - (-10)\/(-4)). Suppose c - l = 8. Solve 4*k + c = -0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108 + 1.1.\nAnswer: -106.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*u**(-2\/41)*u*u\/(u*u**(4\/9)\/u*u*u)*u**(2\/29)\/u**(-12) assuming u is positive.\nAnswer: u**(155975\/10701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 67 - 5\/3*y**6 + 17*y**5 - 125\/2*y**4 - 95*y**2 + 325\/3*y**3 + 40*y. Suppose x(o) = 0. What is o?\nAnswer: 1\/2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*1.8.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s + 24. Let o(v) = -37*v + 121. Let k(d) = -11*n(d) + 2*o(d). What is k(12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 124 = 5*u. Suppose 3*g = 2*o + 46, -4*g + o + u = -2*o. Calculate the greatest common factor of 42 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-49)\/(-14))\/((-1)\/(-22)). Suppose -4*g + i = -11*g. Round g to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 3*m + 1. Let u(p) = -7*p**2 - 7*p + 2. Calculate 2*u(x) - 5*y(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286365514.\nAnswer: 2, 143182757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 - 20*t + 161. Give h(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + (-2 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/297*(-1740)\/1450.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*r - 213, -71 - 134 = -5*x + 5*r. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92334 is divided by 5008?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let v(c) = 2795*c - 1426*c - 1423*c - 3 + 3. What is v(p(l))?\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 322 + 339 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*b - 12689643359 + 3888107904 - 18452264545. Round b to the nearest 1000000.\nAnswer: 182000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {s: 1, p: 1, c: 2, q: 1, u: 1, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 + 137. What is the second derivative of -100*y - 7*y**5 + 17*y**5 + 96*y**4 - 97*y**4 + k*y wrt y?\nAnswer: 200*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:33 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/15*-10*1555\/10. Suppose 77*x = 79*x - v. List the prime factors of x.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 6*y - 4. Let j be o(7). Suppose -5*t + 8 = 3*l, -j*l = t + 2*l + 16. Which is the nearest to 2? (a) t (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 9*s - 2. Let x be u(-8). Suppose -2*w - 44 = -3*o, -3*w = 5*o - x*w - 73. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*d = -125*d - 26. Solve -d*b + 44 = -15*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 682*g**4 + 28*g**2 + 480947.\nAnswer: 2728*g**3 + 56*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = s, 0 = 3*s - u - u - 5. Suppose 0 = 5*j + s*g - 19, 2*j = -2*j + 2*g + 2. Let c = 2 - j. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = -4*n + 22, o - 15 = -5*n. Let l = -31 - -67. Suppose -3*p + 5*p = l. Solve -2*a + p = -4*u - 4*a, 2 = n*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 + 48. Let n be 21 + p - 2*3. What is the tens digit of 1\/n - 14988\/(-72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 4. Let c(w) = -2*w - 5. Determine 4*c(y) + 6*o(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 520585 != 520585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/54)\/(56\/(-210))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -46675*q**2. Let i(w) = -169*w + 1. Give i(j(r)).\nAnswer: 7888075*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -8*w + 21. Calculate the remainder when w is divided by 17\/4 + 3\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 72 (b) 3\/4 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 380910483 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 1. Let t(o) = 42*o + 47. Let r be t(-1). Let y(a) = 10*a - 2. Determine r*w(p) + y(p).\nAnswer: 5*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {q: 3, d: 3, o: 5}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - p. Let g be i(-1). Suppose -32 = -4*s - g. Let j(x) = -x**3 - 7*x**2 - 8*x - 2. What is the smallest common multiple of j(-6) and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 6\/(22\/40 - (-4)\/(-16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, z: 4, q: 7, k: 2, h: 1}. Give prob of picking 1 q and 2 k.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -254625 (base 12) in base 8?\nAnswer: -2245575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4261.\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 - 56\/9. Is (165\/h - 2)*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1269 + 20297\/16. Sort 0, -3\/4, 5, k in decreasing order.\nAnswer: 5, 0, k, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36164\/5 + 7237. Calculate the common denominator of r and -24\/683.\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 50*g - 165456 = 0. What are the prime factors of g?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03407 - 0.07407. What is the third smallest value in -0.166, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -155*a + 3040. Let d(o) = -89*o + 1521. What is -7*d(f) + 4*g(f)?\nAnswer: 3*f + 1513","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4*(-12)\/(-8) - 3) + -1. Suppose a + 175 = u*v, -39 = -2*v - 4*a + 141. Calculate the highest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2155 + -2154.81944. Let x = -0.18 + f. Round x to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/185208 and -27\/61736.\nAnswer: 185208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*f - 5*z, 3*f - 5 = 3*z - 26. Let w be -1 + 0 + f + (17 - 8). Solve 3*c + b = w, 3*c + 4*b - 9 = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14512 - -15432. Is l >= 916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.8 + 10.719. Let x = 0.141 + t. What is the third smallest value in x, -0.5, 0, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m + 8*m + 6*m - 6*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/7)\/5 - (1*-171)\/3. Calculate the greatest common factor of 133 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 3*c + 1823 + 7*c - 3565 + 1769.\nAnswer: 2*c + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 + 7985.\nAnswer: 8099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Let n be 14\/4 + 9\/(-6). Let q(j) = 4*j**n - 4*j**2 - j**2. Give u(q(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310284 and 17034.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47623.\nAnswer: 47623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) + sqrt(152)\/(sqrt(648) + sqrt(8)) + sqrt(19)) + -1.\nAnswer: -1 + 21*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 1100\/(-52)) + -4. Let k = y - 13. What is the second biggest value in k, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h**3 - 35*h**2 + 2*h - 5*h**4 + 13*h**3 - 77*h = 0 for h.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*l - 22, -4*z - 5*l - 9 - 2 = 0. What are the prime factors of 0 + z\/10 - 96\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 28\/40*(17 - 9)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 7*w**2 - 8*w + 4. Let q be 2 + 2\/(-6)*-6. Let j be d(q). Solve 2*z + j = -5*x, -3*z - 17 - 2 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-3600)\/(-140))\/(-18)*(-77966)\/4)\/1?\nAnswer: 5, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -2 - (-1 - -75). Let x be (-4)\/l*(-903)\/(-10). Let b = 19\/15 - x. Find the common denominator of -59\/4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -12. Is -1 + -2 + (10 - h) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -41. Let x = h + -7. Let j be x\/(-1) - (-20 + 20). Calculate the greatest common factor of j and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154473 rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 6. Let j(p) = -1. Let r(l) = f(l) + 6*j(l). Let n(a) be the second derivative of -23*a**4\/12 + 7*a**2\/2 + 107632*a. Determine r(n(y)).\nAnswer: -23*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1878*w = 1879*w - 6. Let j(x) = 35*x**2 - 18*x + 8. Let n be j(w). What is the highest common divisor of 40 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 + 2*f - 4)*(2*f - f - 3*f)*(8 - 2 + 10) to the form m*f + p*f**2 + u and give p.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -185, -202, -217, -230?\n\"Answer: s**2 - 20*s - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 30. Calculate the remainder when 35 is divided by h(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21571430.\nAnswer: 2, 5, 61, 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1325314205 (base 6) to base 8\nAnswer: 74623435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*l + 100. Put 3, l, -13 in descending order.\nAnswer: 3, l, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744 = -595*n - 132*n + 2198 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*w = -11 - 1, 3*w = -4*y - 2. Let c(m) = m**3 + 7*m**2 + 7*m + 6. Let h be c(-6). Let z(f) = -2 - f + h - f**2 + f**3 + 2*f**2. What is z(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**7\/840 - v**4\/24 - 11*v**3\/2 - 22*v**2. Let l(p) be the second derivative of m(p). Let n(b) = -15*b**2. What is n(l(d))?\nAnswer: -135*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-1 - -5 - 6). Let a be ((-2)\/m)\/(-1) - (-165)\/(-25). Let k(d) = d**2 + 8*d + 7. Let o be k(a). Solve -6*w + 2*w = o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7*(-24)\/(-84))\/((-1)\/(-2)). Solve -3*p - 2*p - 6 = -2*c, 3*p - h*c = -12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 18. Sort t, 0.03, 0.1 in increasing order.\nAnswer: t, 0.03, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Suppose 5*d = v*d + 8. Suppose 0 = 3*c - d*c - 550. What is c rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 26.3. Let k = -15 + z. Let v = k - 15. Sort 0, 6, v in descending order.\nAnswer: 6, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -6.61, 2\/11, -10\/3 in ascending order.\nAnswer: -6.61, -10\/3, 2\/11, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 627095401 to the power of 1\/2, to the nearest integer?\nAnswer: 25042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -4.\nAnswer: -8, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 130265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4640 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpw when three letters picked without replacement from {h: 3, l: 2, p: 1, d: 1, w: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*a**5 - 130*a**4 + 15*a**3\/2 + 95*a**2 - 65*a\/2 = 0. What is a?\nAnswer: -13, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - 3) + 1 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*h + 10, 4*t + 5*h = 9 - 14. Calculate the remainder when 23 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112859069 rounded to 4 decimal places?\nAnswer: 0.1129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7 - 10 - 3 + 6*n**2 - 4 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50980400*o + 33995636?\nAnswer: -50980400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-30))\/((-66)\/(-55))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/54 + c**3\/9 + 8*c. Factor b(h).\nAnswer: -2*h*(h - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 456 = 2*p. Let o(b) = 3*b + 19. Let k be o(0). Calculate the greatest common factor of p and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-90) + (-24)\/(-36) + 0. Is w not equal to -10.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 3, -4, 5, 66 in increasing order.\nAnswer: -15, -4, 3, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9059a (base 11) in base 3?\nAnswer: 20201201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19567787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u. Suppose 5*z = -2*x, u = 2*x + x + 2*z. Solve -5*c**2 + 10 + x*c - 12*c + 3*c + 4*c = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-276)*-2)\/((-16695)\/(-60102))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose 40 = -0*m + 2*m - 4*n, v = 3*m - n - 40. What is the remainder when 22 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 296005721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-9 - -4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -1 + 1*sqrt(1216) + sqrt(1216) - (-4*(1 + sqrt(1216)) + sqrt(1216)))**2 - (-3 + -1*sqrt(1216) - ((sqrt(1216)*-2 - sqrt(1216)) + -4)**2).\nAnswer: 488*sqrt(19) + 54748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/2056984?\nAnswer: 1\/2056984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/1641 and -9\/2.\nAnswer: 3282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*k = -7*h - 250, -2*k = 4. Let v = h - -55. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 7:22 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407105323?\nAnswer: 407105323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.025407179 + 0.025374. Round k to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 510995508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -613.9, 4, 0.05, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -9. Let j be 4\/(-12)*-3 - k. Let h be (-3)\/(-4)*j\/(-5). What is the smallest value in 0.3, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*2*-3 - (-2 + sqrt(162)*1)) + 1*sqrt(162)*2 + sqrt(162) + -5*sqrt(162)*-1 + sqrt(162))**2.\nAnswer: 72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10207961.\nAnswer: 3187, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 89*z + 209*z = -64*z + 3069 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w**(-2\/15)\/w*w*w**(1\/5)*w*w**(2\/7)*w)\/(w\/w**(-3\/8)*w**(-8)*w**(-2\/17)\/((w**(-3\/2)*w)\/w*w)) assuming w is positive.\nAnswer: w**(108457\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27084574 is divided by 592?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**6\/120 - 13*p**5\/60 + 11*p**4\/24 - p**3\/6 - 2044*p**2. What is z(12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 - -184.24. Round p to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 12:44 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 20966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d + 69. Let s(r) = -7*r - 82. Let p(l) = 7*j(l) + 6*s(l). Give p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.101 + 0.301. Let v = 4.2 + 0.8. Which is the nearest to 2? (a) -1\/8 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.2. Let m(q) = -q**2 - 6*q + 12. Let v be m(8). Let u be ((-8)\/v)\/((-9)\/(-15)). Which is the second smallest value? (a) -3 (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.747783 to 2 dps.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - n = 0, -5*n = -28*i + 25*i - 14. Let g = -74 - -74.2. Which is the closest to g? (a) 3\/7 (b) 5 (c) i (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -3*a - 639. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n**2. Let f(v) = -5*v**2 + 2615. Determine f(x(z)).\nAnswer: -320*z**4 + 2615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 841889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 0 + (-17)\/(-17). Suppose 0 = -m*c - b + 40, 5*c - 5*b - 74 = -3*b. Let o be (-6)\/9 + 23\/3. Calculate the greatest common factor of c and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -1)\/((7 - 4)\/3). Let y = -177 - -255. Suppose n*f = 3*f - y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o + 5 + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126\/17*d - 2\/17*d**2 - 1672\/17.\nAnswer: -2*(d + 19)*(d + 44)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1144 (base 6) to base 9\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose -33 = -7*k - 4*k. Solve -2*b = -k*b + i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 31*y**2 - 1. Let l(g) = 23*g**2 - 1. Let o(x) = 3*f(x) - 4*l(x). Let m(v) = -v**3 - 5*v**2 + 11*v - 5. Give -m(b) - 5*o(b).\nAnswer: b**3 - 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5032074501526*f**2 + 5032074501526*f**2 - 5*f**3 - 2.\nAnswer: -5*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 3*p**3 - p**2 - 24*p**3 + 0*p**3 - 35*p**3 + (-2*p**3 + 5*p**3 - 2*p**3)*(1 + 1 + 0) to the form r*p**2 + y*p**3 + a + x*p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5, -2*c - 2*c + 4*h = 0. Let z(j) = 387*j**2 + 3*j + 1. What is the units digit of z(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/12204 and 26\/165?\nAnswer: 671220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*x = -7*i - 11, -2*i + 3*x = -17. Which is the nearest to i? (a) -2\/5 (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 882.4734 days?\nAnswer: 76245701.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -48. Let g be (-15)\/(-3) + (b + 2)*-3. Solve q = g*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002898298988 rounded to seven dps?\nAnswer: 0.0028983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/3 - 272*m**3\/3 + 550*m**2\/3 - 92*m.\nAnswer: -2*m*(m - 1)**2*(m + 138)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 654984 divided by 3\nAnswer: 218328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2461 = -6331. Let g = z - -3117\/4. Find the common denominator of g and -17\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - 0.2. Let y = -446987\/11 + 40635. What is the nearest to y in k, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from {r: 5, z: 3, j: 1, a: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.3, 128.38, 0.06 in decreasing order.\nAnswer: 128.38, 0.3, 0.1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/12*16\/(-3). Let t(d) = d**3 + 8*d**2 + 7. Calculate the remainder when t(o) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*h + 4. Let n = 5\/2 - h. Let g be (-1)\/(-4) - (-34)\/24. Which is the second smallest value? (a) 2\/9 (b) n (c) g (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/5 - 548*o**4\/5 + 15952*o**3\/5 - 112672*o**2\/5 + 17952*o + 766656\/5 = 0. Calculate o.\nAnswer: -2, 6, 22, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4462843 and 172919.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104655 by 5.\nAnswer: 20931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x + 109*x**2 + 154 - 43 - 52 - 59 to d*x**2 + b*x + t and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 98\/36 - (-4)\/(-18). Let f = 1899 + -1899. Let w = -3 - -5. Which is the closest to 2? (a) w (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*a + 7 + 7 = 0, 0 = 5*a + 15. Let n be -1*o\/8*-5. Let w = 6.1 - 6. What is the nearest to w in n, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -231. Let n = -324 + v. Let l = -170.29 - n. What is l rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 113*k + 542. Let p be s(-5). Sort -5, -349, p in ascending order.\nAnswer: -349, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1398\/23 or -61?\nAnswer: -1398\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.246 + -49.514. Let c = k + 51. Let o = -1.240302 + c. Round o to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(24)\/(2*sqrt(12))) + 2*(-2 + sqrt(1700))**2.\nAnswer: -78*sqrt(17) + 3408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 + 1?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:22 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.4 + -22.1. Let j(r) = r + 5. Let v be j(-5). What is the third smallest value in m, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + 0.39. Let u = -0.105 + 0.205. Let y = -1267\/3 + 422. Which is the closest to u? (a) 0.03 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u + 16. Let i be k(24). Suppose i = 20*f - 132. Calculate the greatest common divisor of 209 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8435192 and 173116?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12462853 by 11.\nAnswer: -12462853\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 take away 9522038?\nAnswer: -9522036.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*w**2 + 15*w + 2 + 0*w**2 - 15*w**2 - 2*w**3 to the form m + x*w + d*w**3 + o*w**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*3 + -1)*-1 - (-5 + ((sqrt(76) + sqrt(76) + sqrt(76)*-1*1)\/sqrt(4))**2))*-1.\nAnswer: 13 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -678 - -1736. Suppose a - 158 = -4*v. Let u be v\/30*(-4)\/(-6). Is -5 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 11 - 15 = -k, -5*k = -o - 54. Let q = 35 + k. Suppose 0 = 3*y - 60 - q. What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*z = 382*z - 42 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13704, -28207, -43510, -59613?\n\"Answer: -400*r**2 - 13303*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 11:55 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 11*x - 5. Give i(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91.1 + 91. Which is the closest to d? (a) -0.4 (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 2. Let j(i) = -6*i - 5. Let k be (18\/(-27))\/(3\/18). What is k*j(x) + 11*f(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*r - 5*k, -3*r = -r - 4*k - 20. Suppose -2*c + 3*l + r = -l, -c + 4*l + 5 = 0. Suppose -3*u - s = 3*s - 15, c*u + 1 = 2*s. Sort -5, u, 3.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7224272 + 4.\nAnswer: 7224276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x*x**(-2)*x)))*x**1)\/(x*x**11*x**(-2\/5)\/x) assuming x is positive.\nAnswer: x**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19648572 by -6.\nAnswer: -3274762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -348 + 384 + (-46 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 + 133*n**3 - 1013*n**2 + 1631*n - 750 = 0. What is n?\nAnswer: 1, 6, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 20*j**3 - 2*j**2 + j. What is the remainder when 73 is divided by v(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 c, and 2 j when four letters picked without replacement from {z: 5, g: 2, e: 2, j: 5, d: 2, c: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2790)\/225*(-280)\/(-112).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 4*o**2 - 6*o + 11. Let l be 8\/36 - 86\/(-18). Let z be s(l). Let j(h) = -5*h - 4 + h**2 + 8 - z. Give j(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*p = 207*p - 1389420. List the prime factors of p.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*h - h + h + 243*h**2.\nAnswer: 243*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356 - 4*p**3 - 714 - 16*p**3 + 358.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 64 + 92 = -3*b, -5*m = -5*b - 285. Let s = 30 - b. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769396 is divided by 13989.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Suppose 31*w - 6 = 28*w. Let k(m) be the first derivative of 0*m - 1 + 1\/2*m**w. Give -5*k(y) + 4*n(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*h + 105*h - 1218 = 78*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31\/8 in 0.5, -4, 68?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 281710?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82 + 5?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 times -0.17?\nAnswer: 13.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*l - 88*l - h = -281, -701 = -5*l - h. Let g be (3 - 1) + -1*17. Let j = l + g. Calculate the highest common divisor of 25 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38 - (11 + 1)\/(-6). Suppose 11*c = 3*c + f. Suppose 150 = 3*t + 5*s - 25, 5*s = -4*t + 230. What is the greatest common divisor of c and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65, 72, 81, 92, 105, 120, 137?\n\"Answer: k**2 + 4*k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 + 7.87. Let y = m - 7.999. Round y to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 6*i**3 + 31 - 20 in the form z*i**2 + s*i**3 + t + c*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 + 61. Let n = k - -34. Calculate the remainder when 11 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 5*j**2 + 20*j + 4. Let b = 14128 + -14124. Let l(s) = -3*s**3 - 6*s**2 + 21*s + 5. Give b*l(k) - 5*t(k).\nAnswer: -2*k**3 + k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 2. Suppose k = z, -o*k = -2*k + 3*z - 15. Suppose -3*g + k = -3*y, -g - 2*y + 7 = -0*g. Which is the closest to 3? (a) g (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41539 - -41541. Which is the fourth smallest value? (a) -0.3 (b) 8 (c) u (d) -2\/17 (e) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45732160?\nAnswer: 2, 5, 241, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6098 bigger than -99740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 8132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5010 - -5009.9. Which is smaller: -7.6 or x?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-10))\/((-578)\/(-17340))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 191*y**4 - 2*y**3 - 2*y + 31. Let i(t) = -192*t**4 + t**3 + 2*t - 32. Let q(j) = -4*i(j) - 3*r(j). Find the second derivative of q(x) wrt x.\nAnswer: 2340*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 302220 and 39420.\nAnswer: 906660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 742 and 92962?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {t: 2, r: 2, o: 7, j: 4, y: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4674087?\nAnswer: 3, 11, 31, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 8*o + 2. Let v be h(8). Let c be (-65)\/(-2) + 1\/2. Suppose -5*a + c = -v*a. What is the highest common factor of 55 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-3\/7)\/z*z*z)*z)\/(z**(1\/3)\/z)*(z**3)**35 assuming z is positive.\nAnswer: z**(2207\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -112111220?\nAnswer: -112111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - f = 5*f - 16 + 62, 10*h - f + 230 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 3, h: 6, n: 2, t: 1, f: 2}. What is prob of sequence kn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.73 and -52274617.905.\nAnswer: -52274625.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -227*v + 456. Let x be k(2). Put 5, 291, x in increasing order.\nAnswer: x, 5, 291","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.4832?\nAnswer: -1.4496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 5*y)*(0*y + 2*y + 3*y + (3 - 1 + 0)*(-1 + 1 - y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 4*u**2 - 7*u + 2. Let s be c(-5). Suppose -2*o + s = o. Suppose -o*w = -35 - 1. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/2)\/((-6)\/40). Let i = 14 - y. Let s(c) = 3*c - 6. Let w be s(i). Solve h + w = 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + (-9)\/(-3))\/(-1). Suppose b = 18*n - 22*n + 392. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -287*o**3 - 4*o + 4. Let f be p(2). Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643304?\nAnswer: 2, 3, 13, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 65. Is -42*(-4)\/(-6)*i\/(-10) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 14) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102\/29 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 3:32 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 364*m - 9397. Give c(-31).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 9. Let h be s(12). Solve -y - h = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 108492, 216985, 325480, 433977?\n\"Answer: d**2 + 108490*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80\/28707 or 0?\nAnswer: -80\/28707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2520 and 270.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361 - 360. Let m = 2 + -1. Let o(n) = 3*n - 5*n + m + 3*n. Determine o(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.15, 5, -13, 0.5, -3.6?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/5 - z**4\/6 + z**2 - 2*z. Let l(u) = -5*u**3 + 3*u**2 - 3. Let o be -6*-1*(-2)\/(-6). Determine o*l(j) + 3*b(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 51. Let u be g(-12). Put u, -1\/9, 2\/19 in increasing order.\nAnswer: u, -1\/9, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let a be j(-5). Let d be (3352\/6)\/(a\/(-9)). Suppose 3*l - 5*l = -d. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (748\/(-429))\/(-17)*(-1 - (-303)\/(-6)). Which is smaller: -5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t - 1. Let i(s) = -19*s - 2. Let l(a) = -17*c(a) + 6*i(a). List the prime factors of l(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -902.15 and -14677.\nAnswer: -15579.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0477 and -0.314.\nAnswer: 0.0149778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -63 (b) 5 (c) -1.7195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 10. Let i be v(-8). Let x = 0.01 + 0.79. Let a = 0.3 - x. What is the second smallest value in a, 2\/11, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*g - 42, 14219*g = 4*i + 14223*g - 52 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 + -8 + 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.44 + 12.94. Let x = w + -11.4. Which is the third smallest value? (a) -13 (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*c + 16*c - 7*c)*(c + 3*c - 3*c) to the form o + g*c + t*c**2 and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9882 - (1\/(-2) - (-132)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.934 - 0.434. What is the fourth smallest value in 1\/29, n, 0, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 996 by 6.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 9 = 3*n, 0 = 9*a - 12*a + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1295, 0 in increasing order.\nAnswer: -1295, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -129*n - 773. Let w be s(-6). Are w and -22\/83 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/3 - 29\/6. Which is the closest to 2? (a) -1\/4 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -0.63. Let t = -0.645403 - -0.0454042. Let j = g + t. Round j to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205 and 662970?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14888428.998047 and -14.\nAnswer: 14888414.998047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*g**3 - 291*g**3 + 13 + 145*g**3 - g - g**4 in the form c*g**3 + t*g**2 + y*g**4 + v*g + s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 10 = -5*m. Let v be 105\/25 + m\/(-10). Solve s = v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102759583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sddd. What is prob of sequence dds?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**8\/1680 - f**5\/20 - 4*f**3\/3 - 4. Let a(s) be the third derivative of d(s). What is the second derivative of a(l) wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 11:45 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 9*l + 8. Suppose 0 = -0*c - 15*c - 105. Determine j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/21*1*-9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*j - 1276861 = -253453 + 651575. What is j rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8)*-24*8\/(-336). Which is the second biggest value? (a) v (b) 0.4 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29106280 divided by 5.\nAnswer: 5821256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 = -0*u. Let d be 1 + u - (-3 - 2). Suppose -33 = -d*h + 19. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -0.3, 9477, 3 in decreasing order.\nAnswer: 9477, 6, 3, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 7*q + 3. Let g be t(6). What is the tens digit of (4\/(-6))\/(1\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*r - 5*b + 27, -3*r - 5*b = -29. What is the remainder when (-20)\/r*(-28)\/5 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15*v - 3. Let o(i) = i - 5. Let a be o(3). What is the tens digit of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -643*r**3 + 157061*r + 157114*r - 314175*r.\nAnswer: -643*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.138 - -0.04. Let o = -0.138 - l. Which is the fourth smallest value? (a) 5 (b) -0.2 (c) o (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*b**3*w**4 - 12*b**3*w + 4972*b**3 + 5*b**2*w + 33614*w**3 - 1 wrt w?\nAnswer: -432*b**3*w**2 + 201684*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -32 (b) -27 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {w: 1, x: 4, c: 1, r: 4, q: 1, b: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + 15*j - 2. Let r(v) = -2*v**2 - 8*v + 1. Calculate -11*r(c) - 6*u(c).\nAnswer: -2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**3 - 5*h**2 - h + 10. What is the tens digit of v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 396 - 390. Is 12585\/(h + -3) + (8 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*z - 22, 4*v + 0*z + 3*z - 114 = 0. What is the remainder when 27 is divided by (v\/(-4))\/(8\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1447 + n**2 - 2686 + 1239.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) + 4)**2*5 + -4.\nAnswer: 270*sqrt(5) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 14*j**2 - 40*j - 30. Let d be o(5). Sort d, -4, -16.2 in ascending order.\nAnswer: -16.2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - u + 2*u + 1 + (-2 - 4*u + 2)*(-6 + 7 - 3) + 1 - 1 - u in the form t + m*u and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.2 and -0.0228?\nAnswer: 5.2228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 24455357?\nAnswer: 97821428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*b**2 + 241*b**3 - 127*b**2 + 61*b**2 + 566*b**3.\nAnswer: 807*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003317 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101000100000100001?\nAnswer: 101000100000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 + 143. Let q(j) = -4*j - 14. Let u(f) = -9*f - 29. Let s(y) = -7*q(y) + 3*u(y). Let k be s(o). What is the third biggest value in 4, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 279*x + 235*x - 336*x + x - 13*x + 10*x + 5*x - 2*x - x + (2 - 4 + 1)*(6*x + 0*x - 4*x) - 3*x + 2*x - x as i*x + a and give i.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3116 - -6740. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2. Let h(g) be the first derivative of g**4\/3 + 3*g**2 + 31*g + 17. Let c(n) be the first derivative of h(n). Determine i(c(d)).\nAnswer: 32*d**4 + 96*d**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -6, -45 in decreasing order.\nAnswer: -6, -18, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 + (1 - (-3)\/15*0). What is the greatest common factor of s and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7025 divide 1133076300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14668 + 14668.08. Let t be (-4)\/(-14) + 4\/(-14). Which is the closest to -0.1? (a) t (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 392949 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -113*r + 633. Give j(-7).\nAnswer: 1424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l + 2165. Let g be 0 + 1 - 73903*l. Suppose -2*j = 2*j - g. What is j rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*-1 - (-1394708)\/(-182560). Let g = r - -12\/815. Calculate the common denominator of -9\/62 and g.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3715*x + 3588*x + 5969 = 0 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 87.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104084697927 plus 244?\nAnswer: 104084698171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - -0.2. Let f = -5 - -4. What is the smallest value in -0.3, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 12 - (8 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 9. Let d be k(5). Solve -4*w - 17 = -3*o, 6*o = 3*o + 5*w + d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -0.005806.\nAnswer: -0.394194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/10*(208\/39 - 2). Let v(a) be the first derivative of -2\/15*a**3 + 2\/5*a - 1\/5*a**2 + 1\/10*a**4 - w. Factor v(r).\nAnswer: 2*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155 + 2100?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -571 * -0.07245\nAnswer: 41.36895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 345511113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 0.7, -2\/11.\nAnswer: -2, -2\/11, -0.1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/4 + 1\/2. Sort o, -1, -27, 2\/5.\nAnswer: -27, -1, o, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**5\/60 + f**4\/8 + f**2 - 4*f. Let l(y) be the first derivative of a(y). Find the second derivative of l(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 454896 and 49634208.\nAnswer: 446707872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*f + v - 14, 3*f - 32 = -4*v. Suppose -o + 45980 = f*a, 5*o - 230010 = a + a. Round o to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l - 300. Let c be i(38). Let t = c + -19. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1415, -2807, -4199?\n\"Answer: -1392*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*b + 37, 0 = -5*b + b + 8. Let m(j) = j**3 + 14*j**2 + 10*j - 6. Let d be m(-13). Calculate the greatest common divisor of w and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 17*n**2. Suppose 280 = 4*t + 4*t. Let m(d) = -12*d - 12*d + t*d - 2 - 14*d. Let c(x) = 13*x + 9. Let a(g) = 4*c(g) + 18*m(g). Calculate a(s(f)).\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31\/4 - 1\/(-4). Suppose 5*w - 2*d + 0 - z = 0, 4*d = 2*w - 16. Let y(l) = l + 2. Let p be y(0). Solve w*u - u = b, -p*b - 15 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*m - 148*m + m**3 + 2 - 2.\nAnswer: m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 3219\nAnswer: 3219.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-2*5\/30.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78 - -40) + -21 + 38 - -42?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q*q*q**1\/q)\/q*q)\/q)**12\/(q**6\/((q\/((q*q**5*q*q)\/q*q)*q)\/q)))\/((q*q*q**(2\/5))**44\/(q**(-1\/9)*q**2)) assuming q is positive.\nAnswer: q**(-4172\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/35)\/g))\/g*(g\/g**(-1\/5))\/g)\/((g*g\/g**6)\/(g**7\/g)) assuming g is positive.\nAnswer: g**(394\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 2. Let y be w(0). Let l = y + 12. Let h(o) = 10*o + 10. What is the remainder when h(3) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -16. What is the closest to 4 in i, -4, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1544 + 169833\/110. Calculate the common denominator of l and 45\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24854\/12 - ((-40)\/(-10))\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 11 = -34. Let r be 2\/(-6) + 30\/9. Solve p + 2*p = i - 12, r*p + 12 = -f*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/3, -4, -3\/2, 1090?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 302\/(-3624) + (-5)\/(-24).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701566.7cm to kilometers.\nAnswer: 7.015667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135515 (base 8) in base 4?\nAnswer: 10023231031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6555 + 20923. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3331032 + -2?\nAnswer: 3331030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 3*n**2 + n - 2. Let t be a(3). Let j(m) = -15*m**2 + 1 + 1 + 2 - t. Let b(x) = -2*x. Determine j(b(v)).\nAnswer: -60*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7325 - -7330. Solve 0 = -2*n - 2*m - 12, -3*m = -c*n - 30 - 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -20*m**2 - 11*m. Let r(b) = -7*b**2 - 4*b. Let q = -6 + -2. Let z(g) = q*r(g) + 3*t(g). Find the second derivative of z(a) wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 29 - (-30 + 16).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 678 + 810 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.078892, 0.1, 24 in increasing order.\nAnswer: -0.078892, 0.1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2 - 28737*d - 86184 = 0.\nAnswer: -9576, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1119, -2240, -3361?\nAnswer: -4482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64253928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*z = 60, 0*p - 5*p + z = -133. Suppose 4*o - 373 = p. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, a: 3, n: 2, b: 5, p: 1}. Give prob of picking 2 b and 1 a.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 2:21 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 934, 936, 938, 940?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + j**3 + 56 - 55 - 80*j - 3*j**3 + 5*j**3.\nAnswer: 4*j**3 - 80*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -41, -46, -51, -56?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-9)\/4))\/((-2868)\/103248)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85815 and 45.\nAnswer: 85815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*l + 589 + 43*l - 85*l to d*l + r and give r.\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850 a factor of 12626163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 0*o + 16 + 4*o**4 + 47*o**2 - 48*o**2 + o**3 - 6*o**4 as j*o**4 + z + n*o + i*o**3 + x*o**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*o + 2590 - 2056 = -2766 for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 != 322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1 - 2 - x + 0. Let i(m) = -4*m**3 - 2*m - 1. Let c be i(-1). Suppose g = 2*u + 5 - 2, g - c*u = 0. Calculate n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 456*-2422235\nAnswer: -1104539160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3806 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oovvoossosomssovomoo. Give prob of picking 1 o, 2 v, and 1 m.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2373241679 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*a + 262*a = 128*a + 9936 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2234 + 2248. What is the nearest to -1 in -2, q, 5, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 61. Solve -f - 9 = -y*x - 0, -2 = 2*x + 2*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2879604 and 30472.\nAnswer: 5759208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-5 + (6 - -26) - 16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/59)\/(((-4095)\/(-216))\/(-35)).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 12 = 39*j. Solve -6*z = -2*z + j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxt when three letters picked without replacement from xttxtx.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -22*r + 193. Let c(s) = -1 - 1 + 1 - 2*s. Calculate the remainder when r is divided by c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 + -13.14. Let a = -13.05 - g. Let d = 232\/9 + -26. Does d = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4\/9 + 78652*a**3\/3 + 471920*a**2\/9 = 0?\nAnswer: -2, 0, 117980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -25*a + 81. What is the greatest common factor of a and 450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u + 10*u + 8*u - 13*u. Let g(p) = -2*p. Calculate q(g(s)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497693.2ml to litres.\nAnswer: 497.6932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.61 + -0.61. Let a = c - 26.99999957. What is a rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(133\/(-1900)*-20)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + b - 7 = 0, 3*n = -2*b + 49 - 36 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19293, -38502, -57707, -76902, -96081, -115238?\n\"Answer: m**3 - 4*m**2 - 19204*m - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 - 118. Let l(u) = -u**2 + 6*u + 9. Give l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85450262 to the nearest integer?\nAnswer: 9244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*u - 15. Suppose 0 = 2*o + 5*p - u, p - 1 = -o + 5. Suppose 4*h = 4*n - 32, 3*h - o = 4*h. Calculate the greatest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738896 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: Divide 403279 by 16.\nAnswer: 403279\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 10) in base 11?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 844733 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 103145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -402134.3 to the nearest one hundred.\nAnswer: -402100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + k = -6, 3*k = 3*i - i - 10. Let u be 18\/4*20\/45. Solve i = -u*t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -697, -699, -701?\n\"Answer: -2*b - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -329*o + 363*o + o**2 + 821*o. Let w(x) = -4*x. Give w(m(y)).\nAnswer: -4*y**2 - 3420*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009478 rounded to 7 dps?\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - 4*n**3 + 3*n**3)*(-2*n + 2*n + 2*n**2) - 2*n**5 - n**3 + n**3 + 2*n**5 + 3*n**5 - 3*n**5 + 6*n**5 + 15*n**5 - 6 + n**4 + 7.\nAnswer: 19*n**5 + n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 7. What is the least common multiple of n and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1437*f - 6438 = -1611*f for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 12331473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.07 and 0.154.\nAnswer: 0.47278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61.23604 + 6.23074. Let r = p - -55. Round r to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i + 75. Calculate o(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11980 + 17863. List the prime factors of q.\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/4 + -31 + 38?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 22*p + 83. Let h be x(17). Sort 77, -3, -1, h in decreasing order.\nAnswer: 77, -1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.65*-6.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s - 5*s + 3765. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**3 - 6*d + 6*d + (-1 - 2 + 4)*(4*d + 0*d**3 - d**3 - d) as f*d**2 + c*d + w*d**3 + s and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57213807091 from -5.\nAnswer: -57213807096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(0 - g + 0)*(3*g**4 + 2*g**4 - 3*g**4 - 5*g**4 + g**4 + 2*g**4 + (3*g**2 - 7*g**2 + 2*g**2)*(-2*g + 2*g + 2*g**2)).\nAnswer: -12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + u**3 - 10463*u**2 + 10465*u**2 + 54 + (0*u + u + 0*u)*(-3*u**2 - 2*u**2 + 3*u**2) + 4 - 2*u**3 - 4.\nAnswer: -u**3 + 2*u**2 + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 106169.95?\nAnswer: 1061699.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 124332?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 7*u = 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9 - 2.7. Let d = k - 3.19999935. What is d rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11291*16.3.\nAnswer: 184043.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -584, -992, -1210, -1232, -1052, -664, -62, 760?\n\"Answer: s**3 + 89*s**2 - 682*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 - 514. Let s = y + 1312. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3990)\/(-9310))\/(((-19)\/(-14))\/(-1)*4)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 - 3.31198559199.\nAnswer: -3.52198559199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8\/21 + 65\/21. What is the common denominator of (4\/(-14))\/(117\/2275) and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 26. Let y be (-1)\/(1*3\/(-222)). Let a = y - t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5204, 20861, 46970, 83531, 130544, 188009, 255926?\n\"Answer: 5226*m**2 - 21*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - j + 3*j)*(-4*j - 3*j + 5*j) - j**2 + 0*j**2 - 2*j**2 + (-j - j + 0*j)*(-2 + 2 + j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3596634 to 4 decimal places.\nAnswer: -0.3597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 677, 3, -0.2, 48.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d + 2. Calculate the smallest common multiple of 2 and n(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m - 8. What is the common denominator of ((-178)\/15)\/(m\/(-10)) and -19\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**5\/60 + l**4\/4 + 7*l**3\/6 - l**2 - 10. Let p(k) be the second derivative of y(k). What is the units digit of p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540989448.\nAnswer: 2, 3, 22541227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6)*-1*(-10)\/35.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 624 and 15800?\nAnswer: 1232400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 40 = 4*g, 5*g = -2830*u + 2835*u + 45 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icgeyngyyeyye. Give prob of sequence cgn.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41702565 take away -182?\nAnswer: 182.41702565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3 = 15. Suppose -i = -3*k + 9. Which is the smallest value? (a) -5 (b) k (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2736)*2 - (sqrt(2736) - (((sqrt(2736) + 0)*2 - sqrt(2736)) + sqrt(2736))) - -3*((sqrt(152)*-2)\/sqrt(8) + -3)) + 4)**2.\nAnswer: -300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1424596, -1424594, -1424592, -1424590, -1424588?\n\"Answer: 2*y - 1424598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3380 and 8788?\nAnswer: 43940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-15)\/h)*h*h*h*h**(2\/15)*h)**1\/((h**(-1\/4)*h)**(-7\/10))**(-46) assuming h is positive.\nAnswer: h**(-181\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2774 (base 12) to base 16.\nAnswer: 11c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2090\/33)\/(-19)*(-9)\/(-36)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/7)*r*r**(-1\/13))\/(r\/(r*(r\/((r**(-2\/25)\/r)\/r))\/r)*(r\/(r*r*r**2))\/r))**(-3\/2))**34 assuming r is positive.\nAnswer: r**(-845682\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006009 rounded to six decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205 + 441 + 2*q**2 - 225.\nAnswer: 2*q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-4 - g + 4) + 224 - 224 - 26*g + g - 2 + 2 - 2*g + 4*g - g as v*g + s and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 735205*b + 32358700.\nAnswer: -5*(b - 147085)*(b + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*o - 3 + 74, -5*u - 4*o + 58 = 0. Let q be 3\/u + (-6)\/(-21). What is x in 1\/2 + 7\/4*x - 1\/4*x**5 - 1\/2*x**4 + q*x**3 + 2*x**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800685 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 23.4, 3, 27, 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33026?\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 50\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 1. Let u be l(2). Suppose -u*c - 18 = 9. Is (-4776)\/16*30\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159177 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 y when four letters picked without replacement from oooooooooyoooooyooo.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-1\/14)\/(x\/(x\/x**(1\/4)))**(1\/4))\/((x**0)**31)**(2\/19) assuming x is positive.\nAnswer: x**(-15\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-15) - (-4)\/10. Let d be 1\/a - (0 + -1). Let u be 15*(d + (-21)\/15). Solve -4*x - 2*l - 9 = 3, -3*x + 3*l = -u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66503 and 584.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 + 121. Let m = -566 - -571.6. Is m <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*16699 - 12\/(-12). Round s to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2440 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2*u**3 + 2*b**2*u**2 - 2*b**2*u - 9*b*u**3 - 98*b*u**2 wrt u.\nAnswer: -12*b**2 - 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -1\/5*v**3 + v**2 - 2\/5*v - 8\/5 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1328970013 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 8, 19, 36, 59?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39590515?\nAnswer: 5, 7918103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4054 + 10253133?\nAnswer: 10301231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 0*c**2 + 29\/12*c**4 - 35\/6*c**3 + 1 - 3*c. What is the second derivative of m(p) wrt p?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 10*w**2 - 11*w**2 + (1 - 2 - 3)*(-2 + 2 - w**2).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 12, f: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5 - 5. Solve -5*h + 6*h - 4 = z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 449047052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -33, 4, 2 in descending order.\nAnswer: 4, 2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142969020 is divided by 1161.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3031140 (base 7) in base 11?\nAnswer: 2269a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -10 + 5 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 47, -2, -6, -1 in descending order.\nAnswer: 47, 5, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60995943061792838 + 60995948617889254.00000062. Let d = c - 5556096366. Let y = 50 - d. What is y rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8330 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2532, 5, 0 in increasing order.\nAnswer: -2532, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68720786*h**2*u**2 - 134*h**2*u - 19*h**2 - 44*h*u - h + 2*u + 1 wrt u?\nAnswer: -137441572*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.808875 rounded to 1 dp?\nAnswer: 670.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-3 - (-7 - -14)) + (-3 - -10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 < -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u - 4*u**3 + 3*u + 2*u**3 + 6*u**3 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -11. Suppose r*t - 19*t = -8. Let q(g) = 2*g**3 - g - 2. Give q(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/2 - 13*q**2\/2 - 9*q. Let u be f(4). What is the remainder when (-86)\/u + (-9 - -12) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -3. Let r(m) = m + 1. Let c(n) = 14*n + 28. Let h(g) = c(g) - 28*r(g). List the prime factors of h(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i**1*i)\/i))\/i*i)**(5\/2)*((i\/i**(-3\/4))\/i)\/(i\/(i*i*i**3)))\/(((i*i**(1\/6)*i)\/i**(-5\/4))\/(i**(-1\/4))**(-1\/22)) assuming i is positive.\nAnswer: i**(355\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 592024 by 2.\nAnswer: 296012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3044.52 + -3045. Let z = -604.153 + 604.632931. Let i = g + z. What is i rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + 11*o - 10. Calculate the remainder when r(-5) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27693967*q**4 - 31600*q**2 + 4*q + 7.\nAnswer: 664655208*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - -1*(-45)\/18. Put 12, -4, t in increasing order.\nAnswer: -4, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t + 112. Calculate the greatest common factor of t and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22156 and 1910.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18718 + -18700. Let t(y) = y**2 - 5*y + 4. What is the remainder when j is divided by t(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107713615.654719424 + -846289.454719154. Let t = j - 106867331. Let y = -4.8 - t. Round y to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -0.7. Let f = 0.499 - -0.101. Let i = -0.3 + f. What is the third biggest value in p, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 574, 2247, 5058, 9031, 14190, 20559?\nAnswer: 28162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20902880, -20902845, -20902786, -20902703?\n\"Answer: 12*j**2 - j - 20902891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 g when three letters picked without replacement from wwwmlwgg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 471 = 8*a, 119088*a - 119093*a - 5*n = -270 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-3)\/(-5) - (-158)\/395. Solve 0 = 2*h + h - 12, -3*h + s = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21359671 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 35, 42, 51, 62?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -438*d - 23 - d**2 - 6*d**2 - 9*d**2 - 2*d**3 + 436*d + 30 to a*d**3 + w*d**2 + q*d + v and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4075472 is divided by 995.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 + 8*s. Suppose 3*x = b + 7*x + 24, 5*b + 20 = 5*x. Let h(o) = o**2 + o. What is b*h(l) + i(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -0.75. Let h = 33.45 - 33. Let g = h - p. Which is the closest to -1\/4? (a) 2 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53307445 to the nearest integer?\nAnswer: 7301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6903935024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - s**3)*(-1 + 1 + s**2)*(107 + 231 - 1506).\nAnswer: 1168*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84.195 + -84. Let c = -0.286 + h. What is c rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - -0.3. Let u = f - -1. Let j be 0 + (3 - 1) + 0. Which is the second biggest value? (a) -1 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**7\/840 + h**6\/90 - h**5\/24 - h**4\/12 - 54*h**3 + 79. Let o(k) be the third derivative of j(k). Determine o(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*((-6)\/4)\/(-3). Let y(t) be the third derivative of -1\/120*t**6 - 1\/10*t**5 - 4\/3*t**3 + 0*t - t**2 - 1\/2*t**4 + x. Let y(o) = 0. Calculate o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1740 and 435?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, -366, -368, -370, -372, -374?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okuxqktkuouqo. What is prob of sequence xu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -161 and -0.34?\nAnswer: 54.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -258990, -258984, -258968, -258936, -258882, -258800?\n\"Answer: g**3 - g**2 + 2*g - 258992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10 - 3\/(-15). Suppose d = 6*t - 0*t - 22674. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256665791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**3 - 4*s**2 + 4. Let k(i) be the third derivative of i**6\/20 - 7*i**5\/60 + 7*i**3\/6 - 31*i**2 + 2*i. Give 7*d(c) - 4*k(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h - 5*h**2 + 0*h + 4*h**2 + 2 + 2*h. What are the prime factors of o(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32764532 at least as big as -32764530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*p + 2784 = -117*p. Calculate the remainder when 1042 is divided by p.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 247557275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-80)*12*10\/5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/10 - 2\/(-5). What is the remainder when 21 is divided by ((-33)\/9)\/(k\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231330223 (base 5) to base 12.\nAnswer: -423403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1459635 + 15?\nAnswer: 145964a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 206 or -8836603?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*p + 12, 4*s + 3*p + 4 = 2*p. Suppose 12*l - 6*l - 318 = s. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11254 + 11224.945. Let c = 107 + -78. Let x = y + c. Round x to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10530*r**2 - 4 + 21071*r**2 - 10435*r**2.\nAnswer: 106*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1377112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*i = 125*i - 182*i + 980 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**2 + 4*m**2 - 3*m**2 + (-7*m + 20 - 20)*(0*m - 4*m + 2*m) as f*m**2 + y*m + x and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8848*k**2 - 17718*k - 4. Let o be t(-2). Let s be 1279 - (-2 - (-1)\/1). Calculate the greatest common divisor of s and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-65 - -60)*(18*-1 - -1). Suppose -13*m + 30*m + w = 0. Sort -2, -0.4, -48, m in descending order.\nAnswer: -0.4, -2, m, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 4, k: 6, l: 1, u: 3}. What is prob of sequence lg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 19199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/70)\/(10\/25).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 - -7.8. Sort 1, 5, 0.3, l.\nAnswer: 0.3, 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2 + 1)\/(-1). Let d be (-1)\/((-3)\/(-9)*y). Solve -2*o - 3*l + 4 = 0, d*l = 5*o - 27 - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3 - 6 + 6*n)*(-1 + 1 + 8*n**2)*(28 - 33 + 19) as o*n**2 + d*n**3 + q*n + h and give d.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/234248 and 149\/404950.\nAnswer: 76130600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, 1, 150247, 3 in descending order.\nAnswer: 150247, 5, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(72) - (sqrt(72) - -3*(sqrt(72)*1 - sqrt(72) - sqrt(72))))*-4)**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/28 and 35\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -550\/7 not equal to -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6649 + 14137. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t - 61. Let y = t - -21. Let o = 522\/13 + y. Is o smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 4*g**2 + 3*g**2 + 29 + 117881*g - 117964*g.\nAnswer: g**2 - 83*g + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24587891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -9\/20*i**5 - 1\/4*i**4 + 0 + 0*i**2 - 1\/14*i**7 + 0*i**3 - 3\/10*i**6 + i. Solve w(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 6. Let w = n + -1. Let r be (24\/57*(-4)\/(-16))\/1. Are w and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 20*t + 12. Solve 2*f - t - 7 = -4*z, 2*z - 8 = -4*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2721*w**3 + 15*w - 6?\nAnswer: 16326*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185 and 10262246?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3028 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 0*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 d when four letters picked without replacement from {z: 5, d: 2, g: 4, x: 4, w: 2}.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdv when three letters picked without replacement from vdddvdv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + y - 34 + 1 = 0, 2*q = -4*y + 34. Let p(z) = q*z + z**2 - 1 - 3 - 1. Let w(s) = s**2 + 8*s - 6. What is 6*p(l) - 5*w(l)?\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3*u**3 + 2*f**3*u**2*w - 2*f**3*u**2 - 18057*f*u**3*w + 2*u**2 + 1980*u wrt w?\nAnswer: 2*f**3*u**2 - 18057*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10892750 is divided by 544628.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 3*f + 2. Let y(r) = -r**3 + 6*r**2 - r + 8. Let b be y(6). What is the units digit of n(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 11136.34793186.\nAnswer: -11128.34793186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10781*f**5 + 23366*f?\nAnswer: 215620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 254, 568, 1008, 1574, 2266, 3084?\nAnswer: 4028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 649 + -645. Suppose -5*j = -3*p - 3*j + 4, 3*p - 4*j - 8 = 0. Solve 0 = t*m - p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/56 of a week?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -70 + 59 + 82?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q - 35. Let m be a(-9). Suppose -4 = -t + 2*j, 3*t + 4*j + m = 6*t. Suppose -5*r - 31 = 4. Sort t, r, 4 in decreasing order.\nAnswer: 4, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a hour in seconds?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1011001100000011100000 (base 2) to base 15\nAnswer: -3ce05a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -92*r. Let s(v) be the first derivative of v**2 + 28. Calculate b(s(h)).\nAnswer: -184*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12710, 12807, 12878, 12911, 12894, 12815, 12662?\n\"Answer: -2*p**3 - p**2 + 114*p + 12599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*p + 2428 = 591*p - 320*p + 338 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3 - 3. Suppose d = -z + 29 + 4. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 22*c. Let n(g) = g + 1. Give -j(m) - 4*n(m).\nAnswer: -26*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) -110 (c) -4 (d) -7 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, 72, 109?\n\"Answer: 37*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 23, -0.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -280, -559, -850, -1159, -1492, -1855, -2254?\n\"Answer: -v**3 - 272*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06322 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.9506959 rounded to two decimal places?\nAnswer: -17.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*11\/297*-9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -270545730?\nAnswer: -270545735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 151*v + 2506. Let r be i(-19). Which is the nearest to -0.02? (a) 0.01 (b) -6\/17 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a kilometer in meters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146574 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeedeebeeeeeey.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324783 = 25*n - 147*n - 16733. List the prime factors of n.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1871*t + 945*t - 9579*t - 7117*t + 2298*t as r*t + a and give r.\nAnswer: -15324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64044252 or 64044251?\nAnswer: 64044252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2313 - -224?\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.4, -0.4, -44\/3?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 - 2*v + 2. Suppose -100 = -6*s + 206. Let c(w) = 25*w**2 + 17*w - 17. Determine s*z(f) + 6*c(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 5*g - 2. Let h(u) = u**3 + 277*u**2 - 12*u - 4. Determine h(x) - 3*m(x).\nAnswer: -2*x**3 + 277*x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/500)\/(36\/110). Let m = -5449\/600 + w. Calculate the common denominator of -37\/22 and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8654199 is divided by 8028?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/14 - 155\/(-90)*-3. Let j = 612.8 + -613. What is the smallest value in -0.4, s, j, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -19. Suppose 0*h = -h - s. Let i be ((-10)\/6)\/(5\/h). Does 5 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132 - -228. Let d(a) = a**2 + 10*a - 8. Let i be d(-6). Let h = t + i. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -96, -214, -380, -594?\n\"Answer: -24*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18466?\nAnswer: 2, 7, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23539 is divided by 120.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**4\/12 - 31*b**3\/6 + 51146*b**2. Suppose 3 - 15 = -t. Determine f(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/45 and 57\/419560025.\nAnswer: 3776040225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 55093 and 55101 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*g = -5*g, -5*t - 4*g + 45 = 0. Let q = 6 + -4. Which is the nearest to -0.3? (a) t (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 25 - 22. Let c be 6\/(3 + -6) + d\/1. Sort -5, 3, c in descending order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*g**2 + 3 + 2*g**3 - 85*g**2 + 38*g**2 - 36*g - 4*g**3 to the form p*g**2 + v*g**3 + a + k*g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2 (b) -2562 (c) -4 (d) 0 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*v - 129 - 215 - 206 - 217 + 769 - 17*v.\nAnswer: 126*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**18\/m**0)\/(m**18\/((m**(1\/5)\/m)\/m)))**(4\/23) assuming m is positive.\nAnswer: m**(-36\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 5. Let i be m(3). Suppose -i*x + 484 = f, 0*x - 4*f + 363 = 3*x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406701345.16255 - 5\nAnswer: -406701350.16255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.031793 centuries?\nAnswer: 4838.1516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdt when three letters picked without replacement from xxdnxxntnnddhntnthn.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1831088 - 1831088 + 2*k**2 + 3*k**2. Let s(w) be the third derivative of -w**5\/20 - w**2. What is z(s(d))?\nAnswer: 45*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 12*p - 9. Calculate the least common multiple of k(10) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + 209*t - 100 + 17*t + 197 - 97 in the form i + j*t + v*t**2 and give j.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 - 8*s**2 + s - 11. Let t(i) = -4*i**3 + 7*i**2 + 12. Let p(y) = -5*h(y) - 4*t(y). Is p(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -976609.17*0.4.\nAnswer: -390643.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26144 and 1971808?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 17. Suppose 0 = -4*s + 8 + 8, -23 = 3*t + s. Let y be d(t). Let n be 2\/y - 78\/(-13). Solve v = -2*w - n*v + 16, 0 = 2*w + 3*v - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Let p be (-5)\/(10\/(-6)) + g. Solve -2 = -2*x - p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3729 + 3728.9. Let i = -1 - 0. Which is the second smallest value? (a) 1\/3 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84512 + -55101. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let p(z) = -3419*z + 19800042 - 19800042. Determine o(p(j)).\nAnswer: -11689561*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 227051413 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(1\/6). Suppose z + j*l + 6 = 0, -3*z - 4 + 11 = 4*l. Suppose -3*q + 9 = -z. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90.3 + -90.4. Which is the third smallest value? (a) 3 (b) w (c) 519\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 202 - 200. Let b(x) = 48 + 12*x**w + 50 - 104. Let i(n) = -11*n**2 + 5. Give 5*b(u) + 6*i(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 782, 476, 150, -202, -586?\nAnswer: -1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpc. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1861*z**4 + 85*z**2 + 23*z - 22. Let c(n) = 620*n**4 - 29*n**2 - 8*n + 8. Let h(i) = 11*c(i) + 4*l(i). What is the third derivative of h(k) wrt k?\nAnswer: -14976*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 25. Suppose 0 = 5*i + 3*q + q, -5*q = -o. Which is the closest to 1\/4? (a) -8 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.2 less than 0.0424?\nAnswer: -112.1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.66 + -8.64. Is 2 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 51*g + 228. Let w be r(46). Sort 8, 31, w in decreasing order.\nAnswer: 31, 8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) - (-10)\/(-16). Let w = 55 - -1. Let h be 86\/w - 2\/7. Which is the biggest value? (a) -0.1 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10845626968 minus -100?\nAnswer: -10845626868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/(-187) - 68\/(-11). Solve w = 4*w + p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + ((sqrt(363) - (sqrt(363) - -4*sqrt(363)*-1))**2 - (2*sqrt(363)*-5 + sqrt(363)))).\nAnswer: -29055 - 495*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -56 and -282\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1859*-0.153.\nAnswer: -0.1814427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43456497 - -6906.11.\nAnswer: -43449590.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49416?\nAnswer: 2, 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5 + 0*q**5 + 0*q**5 - 5*q**5 - 20*q**2 wrt q?\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 19504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 8*m**2 - 10*m + 14. Determine n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxxuuxmm. What is prob of picking 1 m and 1 x?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 1490*w + 50995.\nAnswer: -5*(w - 31)*(w + 329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 16*w + 13*w + 10*w - 52 - 11*w + 2 - w**2. Give f(23).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648 + 595 + 137 + 7*x.\nAnswer: 7*x + 1380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 65*w**2 + 1601*w + 11524. Calculate c(-7).\nAnswer: 3502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 1. Let o be z(1). What are the prime factors of o - ((-2 - 15) + -1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/4 - 3245961*h\/4 + 1622981\/2 = 0?\nAnswer: -3245962, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -285338 < -49\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 n, and 1 g when four letters picked without replacement from {n: 2, p: 4, g: 3, b: 8}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1098 + -649. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1398856.23 microseconds?\nAnswer: 0.000016190465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(3\/5)*m*m*m*m*m**(13\/4)*m*m\/(m*m\/(m*m\/m**(1\/21)*m))*m*m**26 assuming m is positive.\nAnswer: m**(16297\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693022687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*f + 15 = 0, 17286*p - 17291*p + 5*f = -40 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-225))\/((-3)\/(-30)). Let p be (4\/10)\/((-1)\/10). Which is the second biggest value? (a) p (b) v (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 51*y**2 - 53*y - 140. Give v(-52).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 + -13?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2682 and 4671150.\nAnswer: 14013450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 191b21 (base 15) to base 16\nAnswer: 12a111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18468765 and 14364595?\nAnswer: 129281355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 2, q: 2, n: 3}. Give prob of sequence znqp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 500631368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 + 2*h**4 - 149*h**3 + 642*h**2 - 720*h = 0. What is h?\nAnswer: -15, 0, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c3903 (base 13) in base 2?\nAnswer: 111000000001111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s**4 - 54925*s**3 - 41205*s**2 = 0.\nAnswer: -3\/4, 0, 2747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/3 - -5\/6. Let h be 0\/(3*(-4)\/(-6)). Is h less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.600681? (a) 4 (b) -2\/17 (c) -4 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a + 3*a - 1 - 2*a)*(2*a**2 - 5*a**2 - 2*a**2) to c*a + w*a**2 + z + b*a**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 113, 3219, 8411, 15695, 25077, 36563, 50159, 65871?\n\"Answer: r**3 + 1037*r**2 - 12*r - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13025*s**5 - 135*s**4 + 6*s**2 - 179626 wrt s?\nAnswer: 781500*s**2 - 3240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y*y)\/y*y*y**(2\/5))**(-45) assuming y is positive.\nAnswer: y**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -19, 1\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) + (-553)\/63. Let l be (-12)\/(-18) + 10\/3 + 2. List the prime factors of (4 - 28\/l)*k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7043 - -10076. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7801*l - 7792*l - 955*l**5 - 2028*l**2 + 2*l**3 + 15593*l wrt l?\nAnswer: -57300*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2224631 (base 11) to base 9\nAnswer: 7304538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 80 (b) -2\/85 (c) 4\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 22 = 5*a - 0*u, 0 = -4*u + 4. Let n be -2 + -1 - 75\/(-15). Let o be ((-7)\/14)\/(n\/(-8)). Solve c = -0*g - g, o*c = a*g - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -3 + 0*w + 0*w**2 + 1\/4*w**4 - 2\/3*w**3. What is the third derivative of n(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488583850531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1157, -20, 20?\nAnswer: 1157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5.1. Let m = l - 0.1. Which is the second smallest value? (a) -0.4 (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 12. Let o be g(5). Suppose -10 = 5*y - o*y. Suppose -2*z = -3*z - 3*q + 16, -z = -y*q + 16. Solve -z*k + 2*d - 17 = d, -3*d = k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50963118 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Are w and -1\/24 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90152.3 rounded to the nearest 1000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -54, -53, -52, -51, -50, -49?\n\"Answer: r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + t)*(-t + 2*t + t) + 3*t**2 - 3*t**2 - t**2 + (3709 - 89*t - 3709)*(-t - 2*t + 2*t).\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8\/(-9) + 89110\/315 and 42?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 62740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9*h = 78, -38*h = -4*x - 40*h + 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -6, -0.1, -1\/21, 15, 0.4 in increasing order.\nAnswer: -6, -0.1, -1\/21, 0.4, 15, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(3*m + 2*m - 4*m) + 2*m - 3*m + 2*m - 104 + 104 - 78*m + (3*m + 2*m - 4*m)*(0 + 2 + 0).\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 798 and 6924759?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3370846479.\nAnswer: 3, 7, 11, 13, 17, 66029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 16*l - 24. Suppose 0*c + 2*c = -5*q + 36, -c = -5*q + 27. What are the prime factors of q\/12 - (-145)\/l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Solve 3*n - 8*n - 19 = 4*o, -n = j*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 2*v**7\/315 + 91*v**6\/360 + 337*v**5\/180 - 5*v**4\/4 - v**2 + 1162. Suppose g(j) = 0. Calculate j.\nAnswer: -18, -5, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1630, 1495, 1360, 1225, 1090?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + p + 4, 0 = 5*g + 4*p - 7 - 4. Suppose -5*x + 6 = -g*x. Suppose -x*o + 75 = -438. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b**3 + 40*b**2 + 40*b. Let p(z) = 3*z**2 - 1103704 - 2*z**2 + 1103704 + z. Give -a(n) + 40*p(n).\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82492.1 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153341 is divided by 30630?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 20 = 5*i, 15345*t - 15343*t = 4*i + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -44812 to the nearest one thousand.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 - -265. Let g = a + -111. Put -4\/7, 3, g, 4 in descending order.\nAnswer: 4, 3, g, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 866 and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79*c**2*p - 15*c**2 - c wrt p?\nAnswer: 79*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/17 (b) 1\/4 (c) -3 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 0*d**3 + d**3 + (-2*d**2 + 2*d**2 + 3*d**2)*(2 - 2 - 3*d) + 3*d**3 - 4*d**3 + 0*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d. Let o(c) = 2*c + 23121. Calculate o(s(a)).\nAnswer: -4*a + 23121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Suppose -5*o + 3 = z, -s*z + 2*o + 0 = -9. Suppose -3*q = 3*v + q, -z*v = -2*q + 18. Which is the smallest value? (a) -3 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-350)\/15))\/(6\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (146*p - 5 + 5 - 118*p)*(1 + 9*p - 1) to k*p**2 + b + h*p and give k.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -230*v - 843. Let p be a(-4). What is the highest common factor of 1771 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((-2)\/18*3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((2 + (-1*sqrt(1872) - sqrt(1872))*3 + 4*(1 + sqrt(1872)) - (0 + sqrt(1872) + 0 - (sqrt(1872)*1 + 0))) + 5))**2.\nAnswer: -19008*sqrt(13) + 273924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479712050.\nAnswer: 2, 5, 233, 41177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 4*b + 3529 - 3549 = 0, -2*b = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-5\/6)*n*n)*n**(-3\/2))\/(n**1)**(1\/40) assuming n is positive.\nAnswer: n**(-323\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 20562943.03 to the nearest 1000.\nAnswer: 20563000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332066.\nAnswer: 2, 7, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19)*w*w**(2\/11)\/w*(w**(9\/5))**(2\/55))**(4\/11) assuming w is positive.\nAnswer: w**(-20628\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -1 + -10 + 9. Suppose y*m = -40 + 151. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 13\/5. Let z = 0.047 + -0.047. Which is the nearest to z? (a) u (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27640002)\/(-4) - (-11)\/(-22). What is f rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + (sqrt(539) + sqrt(539) + 1)**2 - (sqrt(77) - 4*sqrt(77))\/sqrt(7).\nAnswer: 38*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10910 + 10909.9999980734. Round t to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 15*y**2 + 57*y - 660. Calculate p(14).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/35 and 19\/609?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d - 3. Let h be j(6). Suppose 10 + 8 = u. Let x = h - u. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-10)*13288\/44847*(-4)\/((-8)\/21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {y: 2, n: 4, k: 6, r: 1, b: 1, e: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*b + 234*b + 49764 + 16701 = 2482*b for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327 - 135. Let y(h) = h**3 + 3*h**2 - 5*h + 3. What is the remainder when c is divided by y(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731.3667km in centimeters?\nAnswer: 73136670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p + 2. Let g(k) = -4 - 5 + 9*k**2 - 4*k + 7 - 2. Is g(p) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 47*l**2 + 26*l - 32. Give s(24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000568 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/7, -0.07, 4\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*m**6 - 2646*m**2 - 33*m**6 - m**4 - 2*m**4 + 34*m**6 - m**4 wrt m.\nAnswer: 21000*m**3 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 31, 53, 79?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 68.04908?\nAnswer: -0.6804908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212 + -207. Solve -4*t + 20 = -0*t, 0 = -5*x + v*t - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t. Let x(p) = p + 1. Let s(d) = -u(d) + 4*x(d). Let z(g) = g. Let n = 6 + -4. Let v(q) = n*z(q) + s(q). What is v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + f - 32. Let c be t(0). Let o = c + 54. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002637 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y + 9. Let q(t) be the first derivative of -t**2\/2 - t + 2. Let u = -9 + 27. Let j(a) = u*q(a) + 2*p(a). Let x(c) = -3*c**2. What is j(x(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-26) - (30\/(-26) - -1). Suppose c = -2*a - 3*a + 450. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*y + 4 - 2, 0 = -2*y + 2*z + 4. Suppose y*i - 1182 = -1162. Sort i, 1, 11.\nAnswer: 1, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2. Let p(b) be the second derivative of b**5\/60 - 5*b**2\/2 + 3*b. Let z(h) be the first derivative of p(h). Determine m(z(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 333.33 - 333.33. Let r be 3*-6*2\/(-9). Let x be (-14)\/r - 2*1. Sort u, -5\/2, x in decreasing order.\nAnswer: u, -5\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from papp. Give prob of sequence ap.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) 3 (c) 0.1 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11430*x - 5542. What are the prime factors of u(-6)?\nAnswer: 2, 43, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2314480, -4628864, -6943236, -9257590, -11571920?\n\"Answer: b**3 - 2314391*b - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3\/3 - 5490*n**2 - 22621536*n - 135531648 = 0.\nAnswer: -8232, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*l - 325*l - 140*l = 8645 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 32. Let k be x(29). Let a = k + 277. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 3*r + r + (-184*r + 113*r + 122*r)*(-4 - 2 + 5) - 2*r - 2*r + 5*r + 0 + 0 + 5*r)*(-2 - 4 + 5) to g + t*r and give t.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-3)\/108)\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2257 by -5.\nAnswer: -2257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 5) to base 13.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 15}. Give prob of picking 2 t.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(3\/2)\/n)**(-2\/109))**15 assuming n is positive.\nAnswer: n**(-45\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 2*a**2 + 5*a + 27. Suppose r - 5*f = -4 + 18, 3*f = 5*r - 4. Let l = 6 + r. What is the remainder when c(0) is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/6 - 1)*-266*1683\/(-22). Is r less than -6782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z. Let q(h) = 2*h + 7*h - 7*h. What is q(j(u))?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1534554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d. Let j(v) = 6*v**2. Calculate f(j(c)).\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239 = -15*i + 314 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/10 + 16398*m**4\/5 + 242501*m**3\/2 + 1382577*m**2 + 24111392*m\/5 + 25158912\/5 = 0. What is m?\nAnswer: -32759, -16, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a + 2. Let v be p(2). Is 32 a factor of (-903)\/v - (-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4804360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22010, -88047, -198122, -352235, -550386, -792575?\n\"Answer: -22019*z**2 + 20*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 15*r. Let j(y) = 22*y**2. Calculate j(z(d)).\nAnswer: 4950*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*f = 60, 36 - 56 = -4*a + 3*f for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74444 and 9936765?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 277\/2 - 4159\/30. Let w = -40.8 - -57.7. Let f = w - 17. Which is the nearest to f? (a) 7 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00601677 to four decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25397 - -25399. Determine r, given that 12*r**l + 9*r**3 - 9*r - 27\/2 + 3\/2*r**4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q + 66 = 0. Suppose 0*s - q = 3*s. Let f = 37 + s. Calculate the greatest common factor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.2 + 6. Let n = 20 - 19.8. Which is the closest to 3? (a) y (b) 2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10782?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d = 46*d + 57*d - 5*d - 6552 for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129383 is divided by 711?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 23*n**2 + 1354*n - 42. Calculate p(-59).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 54. Let v = -12 - q. Calculate the least common multiple of 16 and (-725)\/(-65) + -3 + (-2)\/v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.48 minus -5?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14524 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 4. Let r be l(-7). Suppose -3*v - r = -0. What is the second biggest value in -0.1, v, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.019 and -1.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416006 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-6))\/(1 + -2). Let o(t) = -5*t**2 + 11*t**2 + s*t**2 + 2*t**2. Let i(b) = b. Calculate o(i(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -2, -1, -395084, 4 in decreasing order.\nAnswer: 4, 3, -1, -2, -5, -395084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(4\/(-384)*-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21 (b) 39022 (c) 7 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-18)\/8) + 834\/(-834). Let x(d) = -d**2 + 5*d + 6. Suppose 0 = -2*t + 3*n + 24, 0*t = 2*t - 4*n - 28. Let f be x(t). Does f = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 411561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - z**3 + 5*z + z**2 - 3*z - 1. Let d(a) = a**3 - a**3 + 2*a - a**3 - 2 + 2*a**2. Let v = -1 + 2. Determine v*d(l) - 2*t(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.868809 hours?\nAnswer: 112.12854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 - 1)*(h + 4*h - h) as i*h + r and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - n**2 + n + 1. Let a(u) = -11*u**3 + 8*u**2 - 6*u - 7. Determine -a(w) - 6*i(w).\nAnswer: 5*w**3 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.43 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + sqrt(245) + sqrt(245) + sqrt(245))*-3 + (-1 + sqrt(245))**2*-3 + 4 + -3)*1 + 4.\nAnswer: -739 - 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1 - -5*1. Let m(k) = k**3 + 3*k**2 + 2. Let i be m(-3). Let x be ((1 - 1)\/(-1))\/((-19)\/19). Solve x = -3*o - 2*y, -5*o - i*y + 0 = b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2014*s**2 - 1007*s**2 - 1008*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 7*h**2 + 8*h - 2. Let f be d(8). Is 1\/f - (-262)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 2*x - 4*x)*(2 - 4 + 1) + x + 1 - 1 + (-1 + 0 - 1)*(3*x + 0*x - 4*x) as y + m*x and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 55580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, -3, 0.5, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 + 6*p + 46. Calculate k(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/(1496\/8976)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -752, -1 in decreasing order.\nAnswer: 7, 2, -1, -752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2 + 4 + h**2 - h - h**2 + 7*h**2. Let s be z(0). Suppose -w + s = -b + 11, 5*w = -b - 23. Solve 5 = 3*m - b*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 206283639 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 21828?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 18. Let h be -3 + 0 - (-2 - p). Is 15 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (1 - -4 - (-3 - -1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {v: 4, b: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:38 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1492 * -0.39.\nAnswer: -581.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4207 - 4208. Which is the nearest to -2\/3? (a) 52 (b) -3 (c) 0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/55*(-44)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufte when four letters picked without replacement from {e: 4, t: 3, u: 3, f: 10}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6246522 by 183.\nAnswer: -34134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 11:24 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 831973470 divided by -6\nAnswer: -138662245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3387\/4516)\/((-3)\/228).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -23. Let r be -3 - (-2 + (-4)\/3). Let y = -0.272 + 2.272. Which is the third smallest value? (a) r (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(3\/2)\/a)*a*a)\/a)\/a)\/a**(-34) assuming a is positive.\nAnswer: a**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.210705?\nAnswer: -0.042141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 10:35 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u + 13. Let f be a(2). Factor 0 + 0*y - 24\/7*y**f - 2*y**4 + 8\/7*y**2.\nAnswer: -2*y**2*(y + 2)*(7*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5097.7 - 5098. Put 0.5, 154\/9, g in descending order.\nAnswer: 154\/9, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530953358 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: Let w be (-111)\/(-6) - 21\/14. Let g(t) = t**3 - 12*t**2 + 15*t + 8. Let b be g(11). Let r be b\/12 + (-3)\/9. Solve o - 10 = r*h + 3*o, 5*h + 4*o = -w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 40 = 23*i. Let u be 3\/(-2)*(-4)\/6. Let f be (-20)\/(-1100) + u\/(-5). Sort f, i, -0.3.\nAnswer: -0.3, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k**2 + 5*k + 67*k**3 + 5*k**2 - 3*k.\nAnswer: 67*k**3 + 32*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*j**2*r**2 - 834327*j**2*r*x**2 - 11*j*r**2*x - 111926*j*r*x**2 + 3*j wrt j?\nAnswer: 14*r**2 - 1668654*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 2015 in decreasing order.\nAnswer: 2015, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 1.2000002. What is q rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18423?\nAnswer: 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -13357 <= -26713\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -527*d**4 + 147*d**3 + 376756*d.\nAnswer: -6324*d**2 + 882*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -53*m**3 - 15*m**3 - 14*m**3 - 56*m**2 - 62*m**3. Let h(d) = 13*d**3 + 5*d**2. What is 56*h(i) + 5*p(i)?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.08, 5, -331, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 - 109 - (-2 + -32).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 + 31 + 632*p - 70 + 215*p in the form u + m*p and give m.\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1 - 2)\/(-7). Let b = -3712\/2145 + -2\/715. Let s = 7\/3 + b. What is the second smallest value in -4, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 6*s**2 - 6*s - 4. Give o(-5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8*o + 4*o + 1 in the form p*o + q and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6 and -61\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-5063472)\/(-4))*1. Let z = h + 27843579\/22. Let p = z + 250. Calculate the common denominator of 1\/10 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -63, 4, -5 in decreasing order.\nAnswer: 4, 3, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.029 - 0.029. What is the closest to y in -2\/3, 0.4, -7\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 37, 2\/9, 2\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3675)\/18 - 3\/(-18))\/1. Let q = p - -356. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -32. What is the smallest common multiple of p and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 1 d when three letters picked without replacement from dniyv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 665 - 433. Suppose k = x - 619. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40724 (base 11) to base 5\nAnswer: -3400222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.3 (c) -7.69 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10821 (base 10) to base 3\nAnswer: -112211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let w be n(-2). Let v(p) = 3*p - 4*p + p**3 - 5*p**3 - 2*p**w. Suppose -2*j = 8, -3*f = -5*f - 5*j - 22. What is v(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.185 plus -266617664?\nAnswer: -266617723.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4436 = -3*q, 6*q - 2*q = 3*n - 2679. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 18*c - 12. Suppose -1122 = -23*d - 75*d + 32*d. What is v(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 - (-198 - -226) - -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.934489*-0.36\nAnswer: -0.33641604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -12. Let x be n\/5*25\/(-10). Suppose 7*p = x*p + 30. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 (base 7) in base 12?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 11:12 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 16 - 10. Let v be -6*2\/(-8)*-2. What are the prime factors of (-82)\/v + i\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55930?\nAnswer: 2, 5, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4 - 107*b**2 + 97.\nAnswer: 4*b**3 - 214*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j - 12. Suppose 1332*z - 265 = 1067*z. Let a(l) = -l. What is z*g(u) - 4*a(u)?\nAnswer: -3*u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ded when three letters picked without replacement from {q: 2, e: 1, o: 1, d: 9}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-139)\/(-5) + (-1)\/(1*-5). Let m = -30 + x. Let a be m\/(-4)*-2 + 4. Solve -2*c - 5 + a = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-87948)\/(-210) + (-4)\/5. Calculate the highest common divisor of h and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maaaamamnmannmmmaa. Give prob of picking 2 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 204886217*t**2*u**6 + 4*t**2*u**2 - t**2*u + t*u**2 + 27*t*u - 45*t - 40*u**2 wrt u?\nAnswer: 24586346040*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018.209 millilitres in litres?\nAnswer: 4.018209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126395 divided by 7435.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30.3 * 0.19\nAnswer: -5.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-46 + (-6118)\/(-95))*(-10)\/(-8)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4 - 2) + (0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-6 + z + 4 + 6) + (-3 + 1 + 1)*(-1 + 1 - z).\nAnswer: -z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57669 = 40*f + 59469 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 15. Let s be n(-2). What is the greatest common divisor of 952 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j + 6*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18262971?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -54*(-67)\/((-15075)\/100)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 197.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) 26 (c) 51 (d) -0.3 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 131, 177, 259, 389, 579, 841?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**8\/2016 + f**6\/180 - 17*f**2. Factor m(q).\nAnswer: -q**3*(q - 2)*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7260\/3872)\/((-1)\/8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5604 smaller than -5596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -4. Suppose -4*l = -f*l + 74. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1085478784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1808053790?\nAnswer: 2, 5, 277, 652727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2.6\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -419.21 (c) 7 (d) -15\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1639 is divided by 104?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 367 + -121. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31 and -104.88.\nAnswer: -135.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -1224333740?\nAnswer: 1224333742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8500, -8502, -8504, -8506, -8508, -8510?\nAnswer: -8512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72 + 37 + 66*j + 42 wrt j.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 27 and 34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**3 + 168*u**2 - 940*u = 0. What is u?\nAnswer: -47, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(152) + sqrt(152)) - 3*sqrt(152)*-1)\/(sqrt(24)\/((sqrt(324)\/sqrt(9))\/sqrt(12))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 39 = -5*j + 21, 27 = 2*j - f. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k - 206. Let m = k + 189. Suppose 7*n + 30 = m. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 - ((-1116)\/868 + (-4)\/(-14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061269106576 minus 1?\nAnswer: -1.061269106576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -71 times 661550\nAnswer: -46970050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9))\/((-1)\/(-267)). Suppose -2*j = -2*y - m - 17, y + 3*j + 69 = 0. Let o = 180 + y. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3141.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 670180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -27. Let k = 5 - 3. Put b, k, 4\/7 in descending order.\nAnswer: k, 4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/2 + 5*s**2\/2 + 4*s + 3560. Give v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*3\/(-18)*243\/24)\/((-3202)\/(-25616))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4186.\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 285431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2465004 - 5?\nAnswer: 2464666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {i: 1, u: 4, k: 1, b: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from lqklllklwskx.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10001011111010110111000 (base 2) to base 7\nAnswer: -53654010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -25. Let c = 17 - r. What is the tens digit of c\/(14\/8) - -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -229*t + 233*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 120*h + 1256. Determine c(-11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (44 + -14 - 25)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 - 657*y + 29760 = 0. What is y?\nAnswer: 64, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckccckckckkc. Give prob of sequence kcc.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676 (base 8) in base 3?\nAnswer: 1022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {n: 2, g: 2, j: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48381.\nAnswer: 3, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 0 - 1 + 8 + 60*a to the form y + w*a and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*i - 30, 2*i + i + 4*l - 35 = 0. Which is the closest to 2\/7? (a) -1\/3 (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -52, -51, -50, -49?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 3*z. Suppose 8*o - 3*o = -2*d + 3395, z = -3*o + 4*d + 2063. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*i, 5*t - 2 + 5 = i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56043 is divided by 3759?\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6192 and 0.4?\nAnswer: 2476.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2)*52\/39. Let t be ((-1)\/2)\/(13\/(-78)). Let r = o + t. Solve 0 = 4*s + r*c + 19, -6 = s + 2*c + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210 or 27528\/73?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1) + (-55 - -51) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000202212 (base 3) to base 4.\nAnswer: 21233321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5544 or -441?\nAnswer: 5544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 + 0 + 2 + c wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 116*c**2 + 117*c**2 + 121*c**2 - 15*c - 356*c**2 as u + t*c + x*c**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-1 + 3) - -71. Suppose 5*z - t = -5*i, -i = -0*z - 3*z + 22. Let s = -7 + z. Is s at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Find the third derivative of -3*y**5 + 6*y**2 + 3*y**5 + 3*y**d + 4*y**5 wrt y.\nAnswer: 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = i + 1, -6*r + 9*i - 7*i + 7768 - 7750 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 0*c**2 + 2*c**2)*(0*c**2 + 2*c**2 - 4*c**2) + (28 - 3*c**3 - 28)*(-3 - 2*c + 3) + 368*c**4 + 0 + 0 - 19*c**4.\nAnswer: 359*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 - 27*j - 540*j**2 - 195*j + 161*j - 471*j.\nAnswer: -4*(j + 1)*(135*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -70?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 710015419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 4*c - 5. Suppose 5*a = 37 + 23. Suppose -3*o - a*n + 10*n + 54 = 0, 4*n = 0. What is the lowest common multiple of f(-4) and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2.4. Let z = -1.1 + -2.7. Let o = z - -4.3. Which is the third smallest value? (a) 0.1 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (25 - (-2 + 1))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2093 = -z + 2104, 8 + 17 = 5*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 5*s + 4*s)*(-17347*s**3 + 700 + 6493*s**3 - 700).\nAnswer: 32562*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1411*o**2 - 694*o**2 - 5*o**3 - 717*o**2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5132*q - 615836. Determine i(120).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -277*p**2. Let t(g) = -3*g**2 + 805 - 402 + 5*g**2 - 403. Calculate t(n(o)).\nAnswer: 153458*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 35*o**2 + 322*o + 14170. Give t(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 100111?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u)**(9\/7)*u*u*u\/(u*u\/u**(2\/3)*u)*u*u**5\/u)**(16\/7) assuming u is positive.\nAnswer: u**(2336\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1009 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.1307011 plus 109?\nAnswer: 145.1307011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 19. Sort -4, 1\/3, w in increasing order.\nAnswer: -4, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d - 106. What is h(-23)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 16\/(-12) - (-2014)\/(-114).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4751, -18925, -42503, -75443, -117703?\nAnswer: -169241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6352 and 467056.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2341*z = -2344*z - 3*y - 48, z - 2*y + 22 = 0 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 37125.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 + 267*t + 878. Calculate m(-41).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhmmhhhmhhhhhhm. What is prob of picking 3 h?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64198 is divided by 655?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*n - 121 = 0, -4*p + 5*n = -3*p - 49. Suppose -p = -5*r - 14. Solve -4*y + t - 3 = 0, -3*t + 2*t = r*y - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 275185 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = 7. Let u(o) = 2*o - 4. Let v be u(-8). Let k = n - v. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehspk. What is prob of picking 1 s, 1 k, and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -200? (a) 4 (b) 34.27 (c) 1\/2 (d) -5 (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1088812?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/((-14)\/21*3). Let p = 403\/54 + a. What is the common denominator of p and -64\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(sqrt(13) + sqrt(325)))**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(176) + 1))**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5244 + -5236. Suppose -17 = -6*r + 7. Solve -r = a*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 3. Suppose -14*r = -g - 16*r - 15, -g - r - 9 = 0. Let u(j) = -5*j + 10. Determine g*u(s) + 8*p(s).\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = 4*w, -4*m + 2*w - 2 + 14 = 0. Suppose 316 = r - m*f - 825, -4*r - 5*f + 4629 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -810418*d*h - 14*d + 4342 wrt h.\nAnswer: -810418*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 8:27 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2664926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -3*a + 299. Suppose -2*t + a = -0*t. Solve -4*k + 7 = -3*q + t, 0 = -5*k - q - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*(-2)\/4 + 12.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2234931\/2431 - -11949\/13. Let g = w - -2\/187. Which is the fourth biggest value? (a) -0.2 (b) g (c) 0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -329*m**3 - 6*m**2 - 13*m - 7. What is the hundreds digit of z(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5917, 3001, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1127 (base 8) to base 15.\nAnswer: 29e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 20*b + 69. Calculate v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 28 = 2*a. Suppose -2*m = -0*m - a. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -145*f**2. Let v(b) = 3132*b. Determine v(h(a)).\nAnswer: -454140*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.82, -0.04, 2\/3, -55, -2.\nAnswer: -55, -6.82, -2, -0.04, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/7719 and 59\/15996.\nAnswer: 1327668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -774180 divided by 153\nAnswer: -5060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (5 - (5 - (0 - 12)) - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 97. Let f be (-14)\/(-18) - 4\/6. Which is the nearest to j? (a) f (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(1\/5)*g\/(g*g**(2\/9))*g**(-1)*g*g**(-3\/4) assuming g is positive.\nAnswer: g**(-31\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-3))\/(((-65)\/(-1625))\/(6\/20)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 6)\/((-4)\/8) - 42\/11. Sort -2\/3, b, -8, -0.08, 3.\nAnswer: -8, -2\/3, -0.08, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 2*t**3 + 34 - 73 - 2*t**4 + 38 in the form y + l*t**3 + z*t**2 + u*t**4 + w*t and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**2 + 31*q + 11. Let x be j(11). Let r = 908 + x. What are the prime factors of r?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109216288 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 10. Let s be m(-7). Let w = -31 + 27.9. Let l = -3 - w. What is the second smallest value in s, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6985 - 63*x + 6985 + (18*x + x + 26*x)*(-2 - 2 - 2).\nAnswer: -333*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m**2 - 5*m**2 + 4*m**2 - m**3 + 2*m**3 - 5*m + 2. Let d be q(3). Suppose 0 = d*x + 2*p - 10, 2 = 4*x + p - 6. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 4*x = 0. Let i be -29 - (1 - x - 4). Let g = i - -80. Calculate the greatest common factor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55216)\/(-204)*(-396)\/(-924)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - 0.3. Let v = -3.1 + 3. Let w = -0.3903 + 0.4903. What is the second biggest value in w, v, d, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Let l = z - 1. Let a = 0 - -3. Solve 3 = l*g + 7, a*g = -3*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-18) - (-6522)\/27. Let l = 368 - n. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489485, 489488, 489491?\nAnswer: 489494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-245)\/28 - -9)\/(2\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10405 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: Is 46992770 a multiple of 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 + -139. Suppose 5*a + 3*s = 16 + 22, 5*a = 4*s + v. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98102.8 minutes in milliseconds?\nAnswer: 5886168000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -5*y**4\/12 + 95*y**3\/3 + 195*y**2\/2 + 2*y - 375. Factor o(q).\nAnswer: -5*(q - 39)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332038411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - c**3 + 53*c**5 - 55*c**5 + (-2*c**3 + 2*c - 2*c)*(0*c**2 - 5*c**2 + 3*c**2) + 11*c - 13*c - 6*c + c**5.\nAnswer: 3*c**5 + c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 3\/2*r**2 + r + 6 - 1\/3*r**3. Calculate a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(7 - 1 - 4). Let p(v) be the third derivative of 0*v + v**2 + l + 0*v**3 + 1\/12*v**4. Let w(g) = 4*g**2. Calculate p(w(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4 - 5 + 0 + 6 - q. Let g be n(0). Suppose g*k = k + 5*m + 94, -2*m - 67 = -3*k. Solve -4*h - k = -2*h + 5*p, -h + 9 = -4*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 12871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2002, -2932, -3872, -4822, -5782, -6752?\nAnswer: -7732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -371*u**3 - 2*u**2 + 5*u - 14. Let h(z) = -186*z**3 - 2*z**2 + 2*z - 7. Let k(g) = -2*f(g) + 5*h(g). Find the third derivative of k(y) wrt y.\nAnswer: -1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154426619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 27*r**2 + r - 2. Let i be p(1). Suppose -5*v = 3*m - 1415, 0 = -3*v + m + 795 + 68. What is the highest common factor of i and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*(1\/1)\/1. Suppose -3*j + 9 = -n*d + 2*d, 0 = 5*d - 5*j + 15. Suppose d = -v + 11084979 - 36384979. Round v to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219 + 131. Suppose -612 = -3*p - p. Let w = p + k. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 58.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8194 * 11\nAnswer: 90134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 25*r**2 - 30*r + 150. Let f be s(24). Solve -7*a + 4*a = -f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(69\/(-46))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 10*p**2 + 6*p - 115. Calculate the remainder when 77 is divided by d(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*w**6 - 2*w**4 - 172*w**2 wrt w.\nAnswer: 4680*w**3 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 6420.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 4*j + 2. Suppose -3 = -3*v - 3*n, 3*v + 1 = -n - 2. Suppose -a = -0*a + 1. Let p = v + a. Determine l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 943 + -690. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2267, 4513, 6759, 9005, 11251?\nAnswer: 13497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 38*r + 144. Let f be l(32). What is the common denominator of 161\/f + 62\/372 and 83\/408?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqqcqqqclllllc. What is prob of sequence qc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/21, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1159, 1141, 1117, 1087, 1051, 1009, 961?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48261, 44766, 41259, 37734, 34185, 30606, 26991, 23334?\nAnswer: 19629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27932 is divided by 89.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 230768 not equal to 231233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/2? (a) 0.5 (b) -0.2 (c) -335 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*r + 1925 + 620 = -379 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 2, s: 2}. Give prob of sequence sbv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*t = 4*n + 75*t - 78278, 4*n + 5*t - 78267 = 0. List the prime factors of n.\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31489, 62987, 94491, 126001?\nAnswer: 157517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 16 (b) -1\/891 (c) -0.8 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*c + 1, 0 = -5*z - 0*c - c + 7. Let i = 2 - z. Let x be (0 - -10)*6\/15. Solve i = x*l + 20 - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14311341201 + 103?\nAnswer: 14311341304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -263 - -787\/3. Let i = 0.01 + -0.11. What is the nearest to y in 2\/11, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 196*p**2 - 2. What is the remainder when k(1) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198 + 261*d + 198)*(4 + 0 - 2) - 2*d - d - 2*d.\nAnswer: 517*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 - 59988*z**4 - 224939800*z**3 - 221881008*z**2 + 11241121568*z - 10794240768 = 0 for z.\nAnswer: -7498, -8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = -48. Let j be 2\/8*y\/(-54). Which is the third smallest value? (a) 0.3 (b) 1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8443*p**2 + 5*p - 2. Let b be q(3). Suppose -19*s + 17*s = l - 18, 3*s + 18 = l. Suppose -13*v + l*v = -b. Round v to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3 + -3 - -1 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 = 20. Let g = 303 - 304. What is the nearest to -2\/3 in l, -0.04, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.94 plus 72949?\nAnswer: 72962.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfnl when four letters picked without replacement from nnnmfnfnoofnolo.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/8 - 25*r**4\/12 - 65*r**3\/12 + 55*r**2\/2 - 197*r. What is d in k(d) = 0?\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 6*o**2 + 7*o - 7. Let z be j(5). Solve 0 = -z*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(10)\/(sqrt(2)*2) + 2 + -5 + 5*sqrt(5) + (sqrt(5) + 1)*-4.\nAnswer: -8 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 3*l**2 - 99*l - 206*l - 61*l + 3*l**2 to d + m*l + p*l**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1040)\/240 + (-112)\/(-12). Let p(w) = -11*w - 16. Let g(m) = -17*m - 24. Determine a*g(t) - 8*p(t).\nAnswer: 3*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8970?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 677236616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 0 + 0 + sqrt(11)*2 + sqrt(11) + (sqrt(11) + sqrt(396) + 0)**2*5.\nAnswer: 4*sqrt(11) + 2695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 + 3*s**2 + (-2 + 2*s + 2)*(-4*s - 11*s + 4*s))*(-4*s**2 - s**2 + 0*s**2).\nAnswer: 95*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c + 28. What is the units digit of m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -630 or 945?\nAnswer: 945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*5*3\/30. Let r = t + 4. Solve r*n = 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-5)\/(-80) - (-6 + -2 + 9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/(10\/4995). Suppose 0 = -5*y + 47 + q. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.32 - -0.14. Let x = -1.26 + y. What is x rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(1872) - 2*(sqrt(1872)*2 + sqrt(1872)))\/((sqrt(3888)*-1)\/(((sqrt(132) - ((sqrt(132)*-1 - sqrt(132)) + sqrt(132))) + sqrt(132))\/sqrt(11))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50\/9 + -44\/9. What is the closest to g in 1, -2, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/4, 5, -12\/11, -2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193351, 773362, 1740045, 3093400, 4833427, 6960126?\nAnswer: 9473497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/3)\/1)\/(12\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:02 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10255\/6 + -1688. What is the common denominator of (-6)\/(-15) - 442\/180 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961 = -189*k - 173 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50424*h**3 - 53830*h**2 wrt h?\nAnswer: -302544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i + 2240 = -91*i - 56*i - 8032 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/15*((-10)\/25)\/(108\/45)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - f**2 + 1. Let o(d) = d**2 + 5*d + 6. Let y be o(-4). Give t(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 3 + 3)*(3 + 3 - 4 + (2 + 0 - 1)*(0 - 1 + 3)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7137064415.\nAnswer: 5, 13, 89, 727, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-10) + (-5537)\/(-565) + -6 + 0. Solve -23 = -s + 2*n - 13, 3*s = d*n + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/30 - (-20)\/100. Let x = -3 - -2. Is b > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1239.8 + -1191. What is p rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l - 77. Let n be h(-11). Suppose v = 3 + 1. Calculate the remainder when (v + n - 2) + 2 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 29423804*q**2. Let n(i) = 12*i. Determine n(d(v)).\nAnswer: 353085648*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5*s = 2, 3*m + 2654*s + 47 = 2650*s for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 + -2?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7371774 is divided by 297?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/5)*o**(-21)*o)\/(o**(4\/9))**(1\/3) assuming o is positive.\nAnswer: o**(-2558\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12*u - 456. Calculate d(-38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/7 + 292*z**2\/7 - 2444*z\/7 - 1760\/7.\nAnswer: -(z - 88)*(z - 10)*(3*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -77, -148, -213, -272?\n\"Answer: 3*t**2 - 80*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105 divided by 3?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 654789 and 919203?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/60 + 5*a**4\/12 + 11*a**3\/6 - 11*a**2 + 58*a. Determine b(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1. Let o = 1 + -2. Let n(d) be the third derivative of -d**4\/24 + 9*d**2. Let p(q) = o*n(q) - 2*z(q). What is the first derivative of p(l) wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10371 is divided by 5136.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l**2 - 542 + 542.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u*u**2)))\/u)\/u)\/(u\/(u\/u**(-1\/9)))*u**12*(u*u**(-1\/5))\/u assuming u is positive.\nAnswer: u**(581\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5553 (base 7) to base 2\nAnswer: 11111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*2\/4*20\/(-275). Which is the nearest to 1? (a) n (b) -0.5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 0.3 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxf when three letters picked without replacement from {z: 12, x: 3, f: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*f - 1, 24 = 3*f + 57*g - 61*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f = 0. Suppose 5*u - 45 = -5*h, f*h + 18 = 2*h - 4*u. Let z = 14 - h. Solve z*y = y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2daca0 + 0?\nAnswer: 2daca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**6\/45 + 7*y**5\/30 + 14*y**4\/9 + 20*y**3\/9 + 133*y. Suppose o(x) = 0. What is x?\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 5*b**2 - 5*b + 5. Suppose -4*c - n = -2*n - 17, 5*c - 4*n - 13 = 0. Suppose c*u - 23 + 3 = 0. Let m be r(u). Is -1\/17 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 906815221 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -28. Let p(x) = -x**2 - 11*x - 9. What is the remainder when t is divided by p(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-144)\/(-42) - (-3)\/(-7). Let u = 17 - j. Let h(p) = 10*p + 25*p - 4*p - u*p. Let w(g) = -2*g. Determine h(w(o)).\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -71*i + 9. Suppose 6*n + 18 = 6. What is the units digit of v(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -95 + -1?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/(-4))*96\/(-640)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 108*c**2 - 3034*c - 15562. Give g(-65).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -1 + -5 + sqrt(17) + 2)**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + s + 1. Let m(l) = -7*l**2 - 4*l - 3. Give -m(x) - 4*u(x).\nAnswer: 11*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1907, -2, 7, 3, 2, -4 in decreasing order.\nAnswer: 7, 3, 2, -1, -2, -4, -1907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f - 57. Let h be n(5). Sort 2, 10, h.\nAnswer: 2, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -57, -0.1, 1\/2, -8, -4, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/6640829 and -44\/9815?\nAnswer: 33204145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -371, -752, -1129, -1502, -1871, -2236, -2597?\n\"Answer: 2*p**2 - 387*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45420 and 105?\nAnswer: 317940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36851?\nAnswer: 43, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-5))\/(2502\/278*2\/12)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -108 in 0.3, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*b - w, -5*b = -4*b - 2*w - 10 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 1. Let n be u(7). Let c = -3 - n. Solve 6 = c*x + 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -44. What is the third derivative of 2*j**6 + 22*j**2 - 37*j**o + 10*j**6 + 17*j**2 wrt j?\nAnswer: 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16933 + 6879. What are the prime factors of z?\nAnswer: 2, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25239 + 126953\/5. Let x = i + -151. Let a = 77\/10 + -15\/2. Put x, a, 4 in increasing order.\nAnswer: a, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3882, 2737, 1700, 825, 166, -223?\n\"Answer: 9*g**3 - 1208*g + 5081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**30*g*(g\/((g*g**(-44)*g)\/g))\/g)**6)**50 assuming g is positive.\nAnswer: g**22200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*a + 20 = -190*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111059651*q**4 + 5668575*q**2 wrt q.\nAnswer: -2665431624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176800 and 97682.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1026075*d**3 + 672590*d**2 wrt d.\nAnswer: 6156450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 277503.7?\nAnswer: -1387518.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 718594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*u - 10 + 37, -u - 2*x + 14 = 0. Suppose 7*g - u*g - n = -1771, g - 349 = 5*n. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 2, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 8:57 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -7*g**2\/2 - 45*g - 35. Let y be x(-7). Solve -3 = d + 4*k, -4*d = -3*k + y + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -11, -1, 4, -0.1, -0.3, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 31292*d - 62588. Calculate t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/7, 0.1, -5\/3 in decreasing order.\nAnswer: 0.1, -5\/3, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(28\/((-3024)\/(-12))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:43 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - 25 - (0 + 65)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 2*t. Let y(c) = -c**2 + 1. Let i(k) = r(k) - 2*y(k). What is the remainder when 86 is divided by i(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674 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 comes next: -11062795, -22125614, -33188435, -44251258, -55314083?\nAnswer: -66376910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5249 + 5279. Let r be (-3)\/2 - (-23)\/2. Let u be 4\/r*90\/6. Calculate the highest common divisor of w and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.26 + -0.26. Let h = 15 - t. What is the nearest to -3 in h, -4, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 614516055?\nAnswer: 4301612385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a + 139 = -299 + 110 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 20 + -31 + 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -275 + 506. Suppose 0 = -5*t + j + 44. What is the greatest common divisor of 22 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 1\/5, 277, 5\/2 in decreasing order.\nAnswer: 277, 58, 5\/2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 - 1. Suppose -2*v + 5*v = -2*k - c, -12 = -3*k. Let o = 65 + v. What is the highest common factor of 92 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 392 + 392 + (-2*w**3 - 2 + 2)*(3 - 3 - 2*w) - w**4 - w**4 + 3*w**4 + w**4 + w**2 - w**2.\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = 0, n + 2*h - 9 = h. Suppose n*o + 3 = -4*c, 0*o = -4*c - o + 9. Suppose -c*l = -4*r - 200, -l - r + 55 = -0*r. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 3\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -430.33 + 430. Let n = c - -0.43. What is the closest to n in -0.1, 4, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422662685?\nAnswer: 5, 1223, 69119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33408503899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8508 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 23*n - 92 = -8*q - 35, -n + 9 = q + n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 2 + 6*g**2 - 3*g**2 as q + s*g**2 + x*g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 613\/10011 (b) -1 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*o**2*q**3 - 87*o**2*q**2 - 4*o**2*q + 41*o*q**3 + 3*o*q - 419*q**3 wrt o.\nAnswer: 56*q**3 - 174*q**2 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154 (base 10) in base 13?\nAnswer: -6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152812.9097 + -152790. Let a = 22.9 - y. Round a to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 4*x + 5 = 0. Let l(m) = -4*m**3 + m**2 - m - 1. Let b be l(x). Suppose -3*o = -3*p + 63, p - b*o = -2*p + 57. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by -68703.\nAnswer: -47\/68703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*p + 39 = 45*p. Let i = p + 16. Suppose 79 = i*z + 28. Calculate the highest common divisor of z and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 - 9 + 0*w**2 + 0*w**2 + 0*w**3 as y*w**2 + h + u*w + z*w**3 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 77414163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 15. Suppose l*p - 16 = -4. Find the first derivative of -5*t**p + 7 - 9 + 8 wrt t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*j - 10 = 0, 5*y - 3*j = -0*y - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 351130806 to the power of 1\/2, to the nearest integer?\nAnswer: 18738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -25*m**4\/72 + 55*m**3\/9 + 605*m**2\/12 + 2133*m. Determine i so that q(i) = 0.\nAnswer: -11\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204974 and 55902?\nAnswer: 614922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - o - 5 = 4, 5*q + 2*o = 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*w + 3*t - 48, -22 = -2*w + 3*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/12*(-44)\/594.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(78)\/sqrt(6) + 2.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -404*d**3 - 398*d**2 - 3*d - 9. Let f(t) = 101*t**3 + 100*t**2 + t + 2. Let a(v) = -9*f(v) - 2*p(v). Factor a(x).\nAnswer: -x*(x + 1)*(101*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096223521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-2\/7)*m))**19)**(2\/23)*((m\/((m\/(m\/(m\/((m\/m**(3\/2))\/m)*m)))\/m))\/(m*m*m**4*m))\/(m*m**(2\/7)\/m)**(-1\/5) assuming m is positive.\nAnswer: m**(-12833\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/3 + 16*m**3\/3 + 30*m**2 - 2*m + 113. Factor z(h).\nAnswer: 4*(h + 3)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 152*o**2 - 2\/15*o**6 + 2\/3*o**4 + 0 - 8\/3*o**3 + 2\/105*o**7 + 0*o + 1\/5*o**5. Determine w, given that y(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 1, k: 1, w: 2, i: 3, n: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 + 4*t**2 + t - 11. Let i(p) = -7*p**3 - 8*p**2 - p + 21. Let f(l) = -3*i(l) - 5*w(l). Is f(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 9540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 236*43 + 2\/(-4). Let s = w - 9042. Let f = s + -1078. What is the common denominator of -23\/22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 386, 471, 558, 647, 738, 831?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11374 + -6415. Suppose 22*s = -1637 + r. Let h = 8 + s. What are the prime factors of h?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -39. Let l(c) = -c**3 + 5*c**2 - 5*c. Let a be l(f). Suppose 0 = 3*z - 4*t - 110, -125 = -4*z + a*t - 2*t. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12942603 to the nearest integer?\nAnswer: 3598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 12414?\nAnswer: -12413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(-7)*j\/(j*j**4)*j*j**(1\/4)*(j*j**(-2\/9))\/j*((j\/((j*j*j*j*j\/(j*j*j**(-3)))\/j))\/(j**(-1\/6)*j))**(2\/53) assuming j is positive.\nAnswer: j**(11153\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 3*g**2 - 23*g. Give i(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 5 - 6 - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022221 + 10?\nAnswer: 1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-294)*-7)\/(84\/(-98))*12\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 2*a + 8. Let t(c) = -c. Let n(g) = -p(g) + 2*t(g). What is the first derivative of n(s) wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h + 1 + 104*h + 61*h - 2.\nAnswer: 131*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3348\/11 + -66509\/220. Let c = -26775 - -481823\/18. What is the common denominator of c and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 23. Let n be z(-12). Let u = n + 18. Let m(c) = u*c**2 + 13 - 13. Let x(i) = -i**2. What is m(x(t))?\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 6:26 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 17026 + 17026)*(-4*s + 7*s - s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 4) to base 11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 8. What is the smallest common multiple of w(-2) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 252 = 5*p, -p - 5*j = -3*p + 114. Let o = -99 - 12. Let v = o - -189. What is the highest common divisor of p and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 14*h - 2. Determine u(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1068)\/(-3738))\/(1\/(-28)*-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-18))\/(47\/(-15) + 3). What is the remainder when 411\/f - ((-30)\/(-25))\/6 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/30 and 59\/1485.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 3. Let i = 6 + -4. Let b(a) = 7*a + 2. Calculate the remainder when b(i) is divided by c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/140 - 208*j**5\/105 - 229*j**4\/28 - 274*j**3\/21 - 153*j**2. Find i such that x(i) = 0.\nAnswer: -137, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {z: 2, v: 4, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, n: 3}. What is prob of picking 3 x and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b*l**3 - 16*b*l - 2*b - 24*l**3 - 19 wrt l.\nAnswer: -48*b*l - 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332357363?\nAnswer: 13, 43, 457, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -14*r - 788. Suppose -4*g + 3*v + 22 = 0, 0*g - 20 = -4*g + 2*v. Suppose -8 = -g*j + 48. Calculate the lowest common multiple of l(-59) and j.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*2*6 + (-4*sqrt(847)*-4)**2.\nAnswer: 24*sqrt(7) + 216832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(171) + (sqrt(171)*2)**2 + sqrt(171) + 0 + sqrt(171)) - 1*sqrt(38)\/(sqrt(12)\/(sqrt(36)\/sqrt(6))).\nAnswer: 26*sqrt(19) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:07 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - n + 2. What is k(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 + 3*p**3 - 5*p - 13*p + 18*p**2.\nAnswer: 3*p**3 - 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2135*y**2 + 6*y + 11. Let m(g) = -1060*g**2 + 3*g + 6. Determine 11*m(s) - 6*x(s).\nAnswer: 1150*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53739 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 7\/4*c**4 + 4*c**3 + 3\/2*c**2 - 2*c - 4. Suppose y(u) = 0. Calculate u.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/5)*q*q**(-3\/11)*q\/(q\/q**8)*q**(-1\/6))\/(q**(3\/13)\/(q\/(q**(-1\/5)*q)))**(-2\/5) assuming q is positive.\nAnswer: q**(196759\/21450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 44233*l + 398016.\nAnswer: (l + 9)*(l + 44224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(1\/21). Suppose 3*w + 20 = 5*c, b = 3*c - w + 2. Let u = c + 0. What is the greatest common factor of 24 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15760 and 120.\nAnswer: 47280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Let p(r) = -r**2 + 6*r - 5. Let d be p(4). Let s be (56\/35 - (-6)\/(-10)) + d. Sort x, -2, s in increasing order.\nAnswer: -2, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**5)\/z)\/(z\/(z**(-2)\/z))*(z*z\/z**(-1)*z)**29)**(-1\/7) assuming z is positive.\nAnswer: z**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = 5*m - 0*m, 0 = -2*m - 5*w - 23. Suppose -2*t = -7*t. Suppose 6*g = -t*g - 12. Put -3, g, m in decreasing order.\nAnswer: g, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44115*r**6 + 2032*r**2 wrt r?\nAnswer: 5293800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-170)*-1)\/((-5236)\/(-39270)))\/((-3)\/4)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - t + 245, 154*t - 158*t + 492 = 4*f. What is the closest to -2 in 0.2, -9, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 22 = -5*w, 10 = -2*w + 3*w - 4*g. Let c be 1 - 1 - 3\/w. What is the nearest to c in -2\/9, 3\/5, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 129. Let q = h - 55. Let u = q + -1.9715. Round u to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-46))\/(4\/48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2.923, 2, 4, 7, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3592 + 3619. Calculate the greatest common divisor of v and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -491900 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 + 157. Suppose g*n = 7*n + 4. Calculate the least common multiple of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41012241 (base 5) in base 14?\nAnswer: 87cd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 0 + 5\/3*i**4 + 46*i + 0*i**2 - 2\/3*i**6 + 5\/42*i**7 + 3\/4*i**5 - 10\/3*i**3. Suppose t(v) = 0. Calculate v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.087 + 49.913. Let a = 2.8467053 + -52.8466133. Let g = a + w. What is g rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7400, -14786, -22170, -29552, -36932, -44310, -51686?\n\"Answer: u**2 - 7389*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1154 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 5*z + 19. Let m be w(7). Solve 1 + 14 = -m*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 2*t**4 - 5 + 6*t**2 - t - 2*t**3 - 8*t**2 + 3*t**3 in the form w + u*t**3 + f*t**2 + l*t**4 + k*t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 20\/(-12))*3. Let x be -4 + (u - (-124)\/4). Let d = 45 - x. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12716 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10 and -4 + 85\/2 + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2148 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(1\/((-6)\/(-3))). Let u be (-4)\/(-6)*(-60)\/k. Suppose 9 = -u*a + c + 67, -3*a = -3*c - 42. Calculate the highest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 r when four letters picked without replacement from rtrrtrttrrrt.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 57. Let n = 52 + j. Let l be (n + (1 - -2))*(-11 + 6). Which is bigger: l or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 o when three letters picked without replacement from oaoaoooo?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36488 + 36492. Let z = 75 - 157. Let n = 78.3 + z. What is the biggest value in h, -1, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 3*j. Let q be s(-4). Suppose -3*a + 2*t + 155 = 0, 0 = q*a + t - 49 - 165. Calculate the remainder when a is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 6*n**2 - 79*n + 453. Calculate v(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 divide 283121575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 414 by 1.\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 259073457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/5280623 and 35\/16871.\nAnswer: 5280623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5200424?\nAnswer: 2, 37, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.1914458?\nAnswer: 0.5743374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8208) - (sqrt(8208)*1 + sqrt(8208)))*2)\/(sqrt(576)\/sqrt(12) - (sqrt(3) - (sqrt(24)\/sqrt(2))\/sqrt(4) - sqrt(3))).\nAnswer: -24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -3.7. What is the third biggest value in l, 6, 4, -2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + sqrt(44) - (sqrt(110)\/sqrt(2))\/sqrt(5)).\nAnswer: sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = z + 15, 2*u - 5*z = -3*u + 30. Suppose -5*f - 2*x = -u, 5*f + 0*f + 3*x - 6 = 0. Suppose 0 = 4*g - f*g - 34. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -261*w**2 + 5*w - 5. Let k be u(1). Let h = -257 - k. Find l, given that -1\/2*l**5 - l**2 + 1\/2 - 1\/2*l + 1\/2*l**h + l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17*c - 155. Let p(f) = -4*f + 39. What is 26*p(t) + 6*y(t)?\nAnswer: -2*t + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6695.09662 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/20 and (-6)\/(-21) - (-395)\/14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 125. Which is smaller: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -66, -76, -86, -96, -106?\n\"Answer: -10*b - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 19 = 2*m. Suppose -5*x + 5*f + 5 = 0, x + 5*f = 2*x + m. Suppose -x*r = -3*r - 12. Solve n = -s + 3, -n + 6 = r*s + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 + 2 - 1 + 0*l**2. Give w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 + -62)*(-694)\/8. Suppose -19785 = -3*m - 3*f, m + 5*f - o = 2084. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/39 + 18\/13. Suppose -2*u + 0*u + 60 = 0. Let g be (-2)\/4 + 19\/u. What is the third smallest value in g, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 1200 + 2853 = 0. Let x = w + -557. Is x at most as big as 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11462.84 + 11463. Which is the biggest value? (a) z (b) -1\/10 (c) 2 (d) -1\/4 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134120620 divided by 1411796.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37674)\/(-1495)*-5*9\/21.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f - 263. Let t be d(-32). Put t, -3, 4 in increasing order.\nAnswer: -3, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1907, 1940, 2047, 2264, 2627, 3172, 3935, 4952?\nAnswer: 6259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 35*m**2 + 15*m + 3. Let o(i) = -5*i - 1. Let p(t) = -3*o(t) - q(t). Let y(w) = w - w - 2*w. Calculate y(p(l)).\nAnswer: 70*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3329 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2125551 is divided by 572?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 - 218 = -27*u - 294 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 5*x**2 + 11*x - 1. Give q(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2577727*q*t**3 + 5*q*t**2 + 20763575*q - 4 wrt t.\nAnswer: 7733181*q*t**2 + 10*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0, 6617 in descending order.\nAnswer: 6617, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1987437?\nAnswer: -1987437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147416.\nAnswer: 2, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -3*y. Differentiate -r**4 + y - 3 - 2*r**4 with respect to r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1376.41 and 3.694.\nAnswer: -5084.45854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 take away 21254693?\nAnswer: -21254262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26468683 is divided by 996.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000100111000111001 - 1110111?\nAnswer: -110000100111010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -3*g**5\/10 + g**4\/12 + g**3\/6 + g**2\/2 - 5*g. What are the prime factors of z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {z: 1, p: 1, m: 1, q: 3, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 6.9. Let x = s - -0.1. Let u = -0.6 + 3.6. What is the nearest to x in u, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1139 + -1130. Which is the second biggest value? (a) -3\/7 (b) 4 (c) -5 (d) h (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350, -348, -346, -344?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005792558 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 86*i**2 + 2*i - 83. Let f be k(43). Solve 0 = -w + f - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*f + 48 = -2*g + 252*f, 0 = -9*g + 4*f - 188 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4767, -21641, -49765, -89139, -139763, -201637?\n\"Answer: -5625*h**2 + h + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -83875 (base 13) to base 12\nAnswer: -b4a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4\/13 + 94*w**3\/13 + 28*w**2 + 374*w\/13 + 108\/13 = 0. Calculate w.\nAnswer: -2, -1, -1\/2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -542 + 0.6474070658.\nAnswer: -541.3525929342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 - 6?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 370, 474, 620?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 0 + 770 + -722 + 11\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9422228 to three dps.\nAnswer: -4.942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 13503.04955.\nAnswer: 13503.24955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06842354 and 3.\nAnswer: 0.20527062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose x*t + 12 = 8*t. Let r be 15 + (19 + -16 - 19). Sort 9, -5, t, r.\nAnswer: -5, r, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 10. Let a be u(-7). Suppose 0 = -a*p - 7 - 1. Is p >= -7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5 = -2*g, -3*t + 1027*g - 1023*g = 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i + 1\/84*i**8 + 0 + 0*i**5 + 0*i**7 - 6*i**2 - 1\/12*i**4 + 0*i**6 + 0*i**3. What is the second derivative of n(y) wrt y?\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8233 - 222266\/27. Calculate the common denominator of d and 133\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z + 5. Let w(q) = 35*q + 15. Let x(k) = 11*n(k) - 4*w(k). Differentiate x(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/10)\/(22\/(-1265)). Let a = -277\/6 + d. What is the second smallest value in a, -2, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -1\/12*k**4 + 0*k - 7*k**2 + 5\/6*k**3 + 0. Differentiate u(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35*(-9)\/(-135))\/(-42)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Suppose -1 = -o + t*k, 8*o - 3*o = 5*k + 15. Solve -1 = o*w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 91694 and 5?\nAnswer: 91689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -97, 115, 499, 1055, 1783?\nAnswer: 2683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 1\/2*i**3 - 1 + 0*i + 1\/24*i**4 - 3\/2*i**2. Let d(w) be the second derivative of g(w). Differentiate d(a) with respect to a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -565.9 - -522. Let s = -5.8 - v. Round s to 0 decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -84 + ((-3)\/(-3) - 1). Let n = 89 + f. Solve -9 = -x - 2*d, 3*x + 12 = n*x + 2*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 17*n - 13. Let p be u(-16). Suppose 6 = -p*d + 6*d. Suppose 2*l + 8 = 0, 0*h - d*l + 163 = 3*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8577 is divided by 2125.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**5\/10 - 3*f**4\/8 + 3*f**3\/2 - 111*f**2. Let k(y) = 3*y**2 + 4*y - 4. Give -9*k(b) - 4*n(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 3*n = 1650. Suppose -3*f + n = 2*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 5*c - 5. Let v(m) = 5*m. Let r be v(1). Let z(p) = 2*p**2 - 2*p**2 + 2 + 3*p**2 - 2*p - 4*p**2. Calculate r*z(y) + 2*o(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*i**5 + 19*i**5 - 22*i**5 + (0*i**2 + 0*i**2 - i**3)*(3*i**2 - 4*i**2 - i**2) + (-3*i**2 - 3*i + 3*i)*(2*i**3 + 2*i**3 - 6*i**3).\nAnswer: 19*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + r**2 + r - r**3 + 21 - r. Let q be w(0). Suppose 4*s = q + 231. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/6 - h**3\/3 + 3*h**2\/2 + 14*h. What is l(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2, 0*z - 2*z + i = -367. Suppose 5*c = -3*j + 173, -5*j = -2*j + 3*c - z. What is the highest common divisor of j and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -15761132\nAnswer: -3\/15761132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -409 + 397.3. Let k = i + 11.3. Which is the second biggest value? (a) k (b) -3 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1 - 77 + 7 - 3*k + 32. Let b be r(-13). Let -8 - 8\/3*i + b*i**3 - 2\/3*i**4 + 6*i**2 = 0. What is i?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1474*25742.\nAnswer: -37943708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4524, -20625, -47466, -85053, -133392, -192489, -262350, -342981?\nAnswer: -434388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1)*(8 - 85\/10). Suppose -5 = -u, 0*p - 4*p + 3*u + 249 = c. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {v: 2, e: 2, w: 1, x: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/72 and ((-14)\/(-24)*220\/9394)\/(20\/(-285)).\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*m**3 + 188*m**2 + 2*m wrt m.\nAnswer: -978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*l*v**3*y**2 - 5*l*v**2 + l*y + 3305*v**3*y**2 + 20*v**3*y + 3*v**2 wrt y?\nAnswer: -44*l*v**3 + 6610*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14957 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 328295 + 0.167\nAnswer: 328295.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.67 - 86.07. Let o = 78 + n. Let j = o + 2.2. Round j to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.53 - -1.5369. What is t rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672 + 675 = -58*i - 2250 + 465 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 90960.59ng?\nAnswer: 0.09096059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(51) - ((sqrt(612)*3)\/sqrt(12) + sqrt(51)))\/(5*sqrt(12)\/sqrt(4)) + 1.\nAnswer: -4 - 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160 + -143 + (50 - 2) + 30?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*t + 4*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35\/69 + -4\/23. Is m > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 13*y + 12. What is l(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2 - 2)*(u**2 - 3*u**2 + 0*u**2) - 6*u - 41478*u**3 - 3*u + 41493*u**3.\nAnswer: 17*u**3 - 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100192 is divided by 675?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.8874 - 0.1126. Which is the closest to -2\/5? (a) 0.15 (b) -1 (c) k (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 4*q**2 + 2*q - 3. Let r be k(-3). Put r, -1, 3 in decreasing order.\nAnswer: 3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/11)*p*p**(1\/6))\/(p**(-1\/2))**(8\/19)*((p**2)**(3\/13))**13 assuming p is positive.\nAnswer: p**(9479\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6289 - 6195 - (1 + 52).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -13*r - 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103879793?\nAnswer: 4051, 25643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38\/9 in -44\/5, 4.2, 1\/4?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (75\/(-10))\/15*-8. Solve i - 2*g = -4*i + 7, -y*g + 31 = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = -4*j, 2*b = -j + 3. Suppose -3*r - 3*w = -12, 5*w - 12 - b = 0. Sort -4, r, 3.\nAnswer: -4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 1, -3, -10 in increasing order.\nAnswer: -10, -6, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15 + -34 + 48)*5*(-29622)\/2.\nAnswer: 3, 5, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*64*60\/(-40). Suppose -3*i = -i - n. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Suppose c*o = 4*o - 34. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 - 64. Suppose -45 = -6*g + w. Let m be 3\/(g\/(-20)) + 616004. What is m rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/((-39)\/(-18)) + -1. Which is greater: l or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 16)*(62\/4 - 9). Let k be 6\/9 + i\/(-39). Solve 25 = k*l - 5*x, 6 = -4*l + 4*x + 26 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195158 is divided by 2009?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*c + 1 = 79*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 4*o**2 + 3*o - 2. Suppose -8 = 4*p - 0*p, 20 = 5*u - 5*p. Let i be c(u). Solve -6 = -2*y - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 63\/42*(-12)\/(-45). Which is the closest to 0? (a) m (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/63 + 73\/56\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x + 3*k, 0 = -5*x + k + 10. Let c(q) = -x*q**2 - 3*q + 3*q - q**2. Let z(d) = 2*d. Calculate c(z(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18201, 72802, 163803, 291204, 455005, 655206?\n\"Answer: 18200*r**2 + r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjww when four letters picked without replacement from jzzzzwzwjzzcjjwzzh.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96348 - 96336.7582. Let g = 0.0382 + i. Round g to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101220100200 (base 3) in base 10?\nAnswer: 214587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*f + 118 + 26, -t + 76 = 3*f. Let n = -70 + t. Let j(h) = 2*h**2 - 3*h. Give j(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.78 - 2.08. Let u = b - 17.3. What is the nearest to -0.1 in u, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4015 + -32221\/8. Find the common denominator of j and -111\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(833)))**2 + sqrt(34)\/(sqrt(2)*-1 - sqrt(2)) + 4.\nAnswer: 1007*sqrt(17)\/2 + 30028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*j + 269443, 39*k = 43*k + 3*j - 215555. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364, -659, -926, -1165, -1376, -1559, -1714?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14994, -33492, -51990?\n\"Answer: -18498*c + 3504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -346, -673, -1000?\n\"Answer: -327*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91 - -2) + -2 - (2\/(-8))\/((-176)\/9152)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12)*((-433)\/39 - (-341)\/(27 - -4)).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 8*k + 3. Suppose 6 = -c - c + 4*m, -4*m - 29 = 3*c. Calculate n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - (53 - 57) - -27.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2352)\/392 - (66\/(-14) + -1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**6)\/i**7*i*i**(-4)*i*i**4*i*(i*i\/i**3*i)\/i**(3\/7)*i**(-2\/27)*i\/(i**(-2\/23)*i) assuming i is positive.\nAnswer: i**(11234\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 301 - 174. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185 by -5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2025, 4050, 6075, 8100?\nAnswer: 10125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*f**3 - 2*f + 2 + 0 in the form x*f + h*f**2 + w*f**3 + o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-4)\/40). Let s(f) = -3*f - 19. Let m be s(c). What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234 divided by -5?\nAnswer: 1234\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 35 = 23. Solve -7*x + w*x + 7 = -3*p, 25 = 4*x + 3*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)*h**(-2\/53)\/h)\/((h*h*h**(-11)*h)\/h*h)**(-37) assuming h is positive.\nAnswer: h**(-16538\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**3 + 3*j**2\/2 + 6*j. Let w be (-80)\/(-30) + (-1)\/(-3). Suppose 2*u = -w*x - 8 + 3, 0 = -2*u - x + 1. Determine d(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113.798 + -0.202. Let i = p + 113.99825. Round i to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1533.39 + 1517. Round f to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 19*t**2 - 7*t - 14. Let r be y(9). Let v be ((-6)\/r)\/((-3)\/(-8)). Does v = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1013.5 - 244.5. What is the closest to -1 in 1, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eww when three letters picked without replacement from eewewewwwwwwe.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, 14, -65323 in descending order.\nAnswer: 25, 14, -3, -65323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*sqrt(5)*3*1 - (sqrt(640)*5)\/(-5*sqrt(32)).\nAnswer: -73*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*j - 260 = 0, -3*a + 51*j - 46*j - 391 = 0. Which is smaller: -5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -43955*q**2. Let b(x) = -129*x. Calculate b(o(i)).\nAnswer: 5670195*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.53, -98, 0.3, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 252258745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 5 - 12*i**5 - 4*i**5 + (0*i**4 + i**4 - 3*i**4)*(-70 + 70 + 26*i).\nAnswer: -68*i**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 72688*h**2 - 668223488*h - 140965097472.\nAnswer: -2*(h + 216)*(h + 18064)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 215482968 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -5\/2*j**2 + 1\/3*j**3 - j - 4. What are the prime factors of x(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 - 163*q**2 - 17*q + 282*q**2 - 117*q**2 + q**3 - 1 as h*q**4 + t*q**3 + y*q + a + w*q**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1447*i = -4*j + 1446*i - 16, 2*j - 2*i - 22 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -3*k + 3*a + 147, 5*a = 4*k - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zozp when four letters picked without replacement from pppoopppopopoooozz.\nAnswer: 4\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 1 = -26. Sort 4, f, 1 in decreasing order.\nAnswer: f, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.4 - -0.4. Let m(h) = h**3 + 3*h**2 + 4*h + 2. Let j be m(-4). Let p be (-5)\/2*9\/j. Which is the second biggest value? (a) p (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/9)*(u*u*u**(2\/61)*u*u)\/u assuming u is positive.\nAnswer: u**(1421\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 15*t + 7. Let q be k(8). Which is the biggest value? (a) -0.4 (b) q (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75*v + 136*v + 282*v)*(-v - 5*v + 4*v + 2*v + 0*v - v + (-4*v + 4*v + v)*(1 + 5 - 4)) to l*v**2 + h + j*v and give l.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + -21. Let z = y + 338. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 8 = -4*r + 7, -4*k = -4*r + 24 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -7*j - 15 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -533, -560, -587, -614, -641, -668?\n\"Answer: -27*j - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 4.2. Let r = -6 + 5.9. Let v = 1.4 - -0.1. Which is the third smallest value? (a) r (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2. Let z(g) be the third derivative of -7*g**5\/20 - 29*g**2. Give v(z(h)).\nAnswer: 1323*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-1440) - 51*(-11)\/594.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197876816*y**3 - 17904*y**2 - 22*y + 2.\nAnswer: -1187260896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 4*q. Let p = -1 - -5. What is the nearest to 0 in 2, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) -0.3 (c) -208\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 - -254. Suppose 762 = 11*m + s. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1051 - 2?\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1634?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 348 divided by 2369\nAnswer: 348\/2369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 799180 or 799181?\nAnswer: 799181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from xxcxcdnddaecdeeeccac?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3017 + 3039. What is the greatest common divisor of i and 825?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, u: 7}. What is prob of picking 2 u and 1 g?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u + 4*u)*(-2 + 2 + 1).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 619a44 (base 12) to base 5.\nAnswer: 342441042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.049 - -0.512. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*3 - (1 - -1). Suppose 0*z = k*z. Let n = -22 + 18. Which is the second smallest value? (a) 4\/3 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550127 to the power of 1\/2, to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-120)\/(-18))\/2*(-24)\/(-10). Let w(v) = 15*v + 7. What is the hundreds digit of w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5 - 14*p**4 + 18*p**3 + 118*p**2 - 80*p - 168 = 0.\nAnswer: -7, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from emeefeemefmffeem.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 153?\nAnswer: -55\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:21 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 38*b**2 - 4*b + 64. What is k(19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 466913 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636307?\nAnswer: 7, 90901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 930 - 929. Is p bigger than 1.627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/72 and 79\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40663389?\nAnswer: 3, 13, 113, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 79 - 22 = l, 0 = z + 5*l. Calculate the highest common divisor of 90 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175963013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:58 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from omom?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l. Let j(g) = 4*g**2 - 5*g + 5. Let c(k) = -6*k**2 + 8*k - 8. Let r(b) = -5*c(b) - 8*j(b). Determine h(r(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 375035 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5831719?\nAnswer: 23, 253553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(88)\/(1*sqrt(8)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -13. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64\/28 + (-6)\/21 and ((-30)\/(-9))\/((-2)\/(-12))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*z - 8008 + 6845 = 23847 for z.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -3*z + 342. Does 30 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4 - (2 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = -u - 82, 135 = -5*j - 2*u. Let m = j - -58. Let v = 91 - m. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*u**5 + 27*u**3 - 21*u**2 + 180339*u wrt u.\nAnswer: 3240*u**3 + 162*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 13*o + 20. Let s be q(19). Suppose -b = -5*f - s, 3*b = 4*f - 3*f + 458. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (96\/(-80))\/(2\/5). Let k be -4 + 4091*(2 - 3). Is q\/12 - k\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 6. Suppose 3*u - 3 = 9. Let f(z) = 1 - 2 + 3 - 2*z + 3. Give u*p(q) + 5*f(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z. Suppose -g = z, y = 2*y - g - 7. What is the smallest common multiple of y and 37\/7 + 8\/(-84)*3?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 2*c - 5. Let l be d(4). Suppose -5 = -f + l*x, 0*x - 2*x - 6 = 0. Sort -6, 8, f in descending order.\nAnswer: 8, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -104*h**3 - 42*h**2 + 46*h - 3. Calculate k(1).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8767*c**5 + 31*c**2 + 3060459*c wrt c?\nAnswer: -175340*c**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, -74, -215, -412, -665?\n\"Answer: -28*g**2 - g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5575dcb + -5?\nAnswer: 5575dc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 9.985754195538?\nAnswer: -10.485754195538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652109544.\nAnswer: 2, 206513693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 + -8.22. Let f = 13 + o. Which is the closest to 1? (a) -1\/7 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*d - 2343 = -f + 44*d, 5*f = 4*d + 11639. What is the smallest common multiple of f and 7?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364640.\nAnswer: 2, 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 9. Let x be d(-13). Let l = x + -8. Let v(i) = i**2 - 5*i + 1. List the prime factors of v(l).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16*(-9)\/180)\/((-14)\/(-10))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1532 - 1532 + 9090*l.\nAnswer: 9090*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329076 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2593, -2600, -2617, -2650, -2705, -2788, -2905?\nAnswer: -3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100021333133 (base 4) in base 2?\nAnswer: -10000001001111111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -4332849.\nAnswer: 20\/4332849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1540 and 280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4066 divided by 1.\nAnswer: -4066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13233 and 8844?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.72144444 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-27)*(-567)\/(-63))\/((-1)\/7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdg when three letters picked without replacement from {r: 1, g: 4, v: 1, d: 3, j: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 9*s**2 - 9*s - 12. Let f be w(10). Let x be -10*3*f\/12. Factor -x*r**2 - r + r.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62338 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -87. Let d = -1 - -1. Suppose d*x + 2*x = 5*m - f, -3*x + 18 = 5*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*l + 40, 5*m + 5*l = -0*m + 40. What is the remainder when 29 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/8, 614588, 0 in increasing order.\nAnswer: -1\/8, 0, 0.4, 614588","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2. Let t(k) be the third derivative of k**4\/12 - 4*k**2. Give t(h(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17, -1, 0.\nAnswer: -17, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-3) + 11*-1. Let o(s) = 2*s**2 + 5*s + 3. Let w(v) = -2*v**2 - 4*v - 3. Let a(p) = -5*o(p) - 6*w(p). Is a(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g = 17*g + 73224. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34258 + 9*q - 17058 - 17200.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 60 + 96. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 13*d + 3. Let h be g(-4). Suppose 4*m - 38159997 = -3*y, -h*m + 21*m - 5*y = -19079995. What is m rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -8*h. Solve 5*b - 5*m = -15, -4*m + h = 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 34*d = 1104. Which is smaller: d or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132*l**4 + 50 - 64*l**4 + 90*l**4 + 88*l**4 wrt l.\nAnswer: 984*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620178 rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1961, -3912, -5829, -7694, -9489, -11196?\n\"Answer: 3*l**3 - l**2 - 1969*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -13110?\nAnswer: 13103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4257 + 4224. Which is the smallest value? (a) 2\/19 (b) -0.02 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)\/(m**4\/m)*(m*m**1)**(-2\/3))**(5\/2) assuming m is positive.\nAnswer: m**(-185\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 1278294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10643*t**3 + 45*t**2 + 22*t - 2?\nAnswer: 63858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/60 + 4*m**2 - 54. Let s(a) = a + 1. Let x(v) = 36*v - 9. Let j(i) = -45*s(i) - 5*x(i). Determine r(j(t)).\nAnswer: 50625*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 - 52 = 0. Suppose 5*c = f*c - 72. Let l be 33\/c - (-1 + -2 + 4). Which is smaller: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662 take away 1?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**4 + q**3 + q**2 - 47*q. Let z(j) = j**3 + j**2 + j. Let c(r) = -u(r) + z(r). What is the second derivative of c(f) wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*y + 5*o + 82, 4*o = -13 + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-210)\/(-4)))\/(19\/(17290\/1001))?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 242 (b) 8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 950, 718, -2, -1480, -3986, -7790, -13162, -20372?\n\"Answer: -45*n**3 + 26*n**2 + 5*n + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 3*j**2 - j - 5. Calculate the remainder when 70 is divided by h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 3*x)*(3 - 2 - 4) - x - x + x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/24 + (-95)\/(-15). Suppose 2*g - 7 = f, -f = 2*f - 2*g + 9. Put y, -5, f in descending order.\nAnswer: y, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2153, 2020, 1887, 1754?\n\"Answer: -133*l + 2286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (-14 - -29) + 6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/133)\/((-12)\/(-126)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 23 - 2*w - 5*w + 5*w - 2*w. Let p be u(5). Suppose 5*l + 2*f = 1257, 0 = 13*f - 16*f + p. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 58*s**2 - 55*s + 252. What is n(-59)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*y - 8, -96*g - 2*y + 23 = -99*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -845c6 (base 15) to base 14\nAnswer: -acdc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -6, -4, 0.3, -6319?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2 + 4 + sqrt(192) + sqrt(192) + sqrt(192) + 2 + sqrt(192))**2 + -5 + -3)*2 + 2.\nAnswer: 896*sqrt(3) + 6228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1680 = 4*y - 8*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0*m**2 + 0*m**3 + 3*m + 37\/20*m**5 + 1\/3*m**4 + 3. Find the third derivative of j(q) wrt q.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 0) + 1 + -2. Let g = 1.8 + -5.8. Let p = 0.02 + -0.32. Sort o, g, p in increasing order.\nAnswer: g, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/211 - -55322\/1055. Which is bigger: 52 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 4*g**2 - 4*g + 2. Let r be h(2). Suppose -4*z - 2 = -r*z. Put z, 3, 3\/8 in decreasing order.\nAnswer: 3, 3\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416661 (base 7) in base 8?\nAnswer: 562351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62.9999942 + -63. What is z rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -383 + 83. What is a rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -46 + -2 - (-729 - -723) - -5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 2*p**2 - p**2)*(20289*p - 10140*p - 2973*p**2 - 10149*p).\nAnswer: -2973*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, r: 6, k: 2, e: 3, n: 1}. Give prob of sequence rkrr.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - b - 1, -s + 38*b = 35*b + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011110010111 - -1100?\nAnswer: 1001011110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4115, -4448, -4999, -5768, -6755, -7960?\nAnswer: -9383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiixblxlbybxxyxxbb. Give prob of picking 1 y, 2 l, and 1 i.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 21 = 3*t, 0 = -5*i - 10 - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1640, -3202, -4778, -6374, -7996, -9650, -11342, -13078?\nAnswer: -14864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-714))\/(1041\/(-47192)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4611720 and -113\/310.\nAnswer: 142963320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 2*m. Let p(d) = -114*d**3 - 2*d**2 - 221*d. Let b(l) = -2*i(l) + p(l). Find the second derivative of b(k) wrt k.\nAnswer: -696*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11043436 or -11043465?\nAnswer: -11043465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*u - 1. Suppose 2*m - 4 = 2*l, 0 = l - 5*l + u. Suppose -p - 10 + 1 = -3*q, -p - m*q = -9. Solve 0 = 3*a + 4*s + 11, 0 = 2*s - p*s - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 31*m**2 + 2*m + 65. Let i be d(8). Suppose o + i = -2*t, t - 5*t - 4125 = o. Round t to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-2\/27))*u**(1\/5))**(-28))**(9\/14) assuming u is positive.\nAnswer: u**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 5*r + 9. Let k be h(7). Let p be 0\/(6\/2) - k. Suppose -4*i - q = -64, 3*q + 38 = 2*i + p*q. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 21. Suppose -o*k = -p - 104, -k - 3*p + 260 = 4*k. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/19, 6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3572493.\nAnswer: 4\/3572493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 67 - 225. Let z = l - -215. What is the tens digit of (-6)\/(-8) - z\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 3*m**2 - 6*m - 1. Let b be 18\/4 - (-7)\/14. Suppose -9 = -2*t - b*f, -2*t + 5*f = -0*t - 19. Suppose -5 = -t*v + 8*v. What is h(v)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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 the next term in -9, 0, 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 364*m + 476*m - 7 + 95*m to the form b*m + y and give b.\nAnswer: 935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 - 3*g + 4. Let p be x(-3). Suppose -17 = -3*u + p. Let o = -9 + u. Solve -o*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9164*b. Let s(d) = -174*d - 3. Calculate m(s(f)).\nAnswer: -1594536*f - 27492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 139*v**2 + 4. Is 13 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (sqrt(70) - (sqrt(70) + -2*sqrt(70)*1 - sqrt(70)))\/sqrt(10) + 6*(sqrt(343) + 1*sqrt(343) + sqrt(343))*-3)**2.\nAnswer: -9000*sqrt(7) + 3937536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, s: 16}. What is prob of picking 3 j?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -563, -4, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -81938*f**3 - 424*f**2 - 424*f. Let h(s) = -964*s**3 - 5*s**2 - 5*s. Calculate 424*h(x) - 5*k(x).\nAnswer: 954*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j - 3. What is c(10)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w = 288. Let u = w - -163. Is 25 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 1. Suppose d = 4*s - 1. Solve s*h = -u - 10, -5*h - u + 8 - 30 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.21 - 0.19. Which is the closest to -2\/5? (a) 0.3 (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) + sqrt(28)\/sqrt(63) + sqrt(4) + sqrt(4))*6.\nAnswer: 9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195707 + -125284. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 151369\/770 or 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1.7. What is the nearest to -1\/4 in -2\/5, a, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from ggggjjgggjggggg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 - 7*j**2 - 6*j + 7. Let d(t) = 3*t**3 - 5*t**2 - 4*t + 5. Let p(c) = 7*d(c) - 5*i(c). Let n(m) = 3*m**3 + 7*m. Give 2*n(o) - 7*p(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26888 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 15. Let r = -6.8588867 - -1.8588951. Let v = r + f. Round v to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p - 72. Let n(y) = -14*y - 219. Calculate -8*g(h) + 3*n(h).\nAnswer: -2*h - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 20000?\nAnswer: -13331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109037*g**3 + 2*g**2 - 860797 with respect to g.\nAnswer: -327111*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**1)**(-3\/46)\/(x\/((x\/x**(-1\/3))\/x))**(-9\/7))**23 assuming x is positive.\nAnswer: x**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250985?\nAnswer: 5, 7, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24469364 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 454*j - 113048. Determine l(249).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7582 = 158*w - 96*w + 139*w - 19843 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.90024 + 44.9. Round f to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**3 + 3*v + 5. Suppose 17*q + 10 = 15*q + z, 3*q + 15 = -z. Let s(m) = m + 1. What is q*s(k) + t(k)?\nAnswer: -7*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17688269*k**2. Let q(t) = 25*t**2. What is l(q(m))?\nAnswer: 11055168125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Suppose 39992723 = -r*v - 103772441. Let i = 52941291 + v. Round i to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 2, a: 8, l: 3, y: 2, r: 1}. Give prob of sequence yxyu.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 20664?\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133210, -1, 7 in descending order.\nAnswer: 133210, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/182*(-44)\/385\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 15, f + 130 = o + 44. Let q = 187 + f. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26199)\/(-639) + (-1402)\/34?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296743\/171 or 1736?\nAnswer: 296743\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650649769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-76))\/(306\/2907)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 8*x - 4. Let q = -2\/97 - -204\/485. What is the third smallest value in x, -15, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -176 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 163 - 35 - 40 - 100*m.\nAnswer: -100*m + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 16 = v, 0 = 5*v - 2*h - 4 - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*p = -589*p + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*a**2 - 341*a**2 - 1 + 3 - 1 to the form v*a + g + k*a**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + o**5 + 0*o**4 + 3*o**5 - o**5 + 0*o**5 + 0*o**5 + (2*o + 2*o - 3*o)*(0*o**4 - 4*o**4 + 3*o**4).\nAnswer: 2*o**5 - 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1682, 3363, 5044, 6725, 8406?\nAnswer: 10087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/89, 1, 1255?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4740015 and 61\/3675?\nAnswer: 23700075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15434527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 156 = 2*i - 0*i, -228 = -4*r - 4*i. Suppose 5*t + 3*x - 64 = 26, -3*t + x + r = 0. Solve t = 5*k - 3*h, 2*k - 3 = -3*h - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j*j**12)\/j*j*j*j)\/j)\/j)\/(j\/(j*j**(-1\/15)))*j**10\/(j\/(j\/(j**(-4)\/j))) assuming j is positive.\nAnswer: j**(449\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -51.73. Let u = w - 0.72933. What is u rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -34. Let w be (3 - (-55)\/x)*24\/2. Solve 15 = -w*r - 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27496322 to three dps.\nAnswer: -0.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89415 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**6\/6 - 7*z**5\/4 - 55*z**4\/12 - 25*z**3\/6 + 3*z - 1. What is o in b(o) = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2246306 and 2?\nAnswer: -4492612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 15*n + 10. Let o be k(-16). Let x be (4 + -3)\/(-1) + o\/(-6). Solve l + 3 = -x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/24 + 3*x**2\/2 + 3*x. Let s(w) be the first derivative of q(w). Let v be s(5). Solve 0*t - v = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 9*m + 24)*(2 + 1 - 5)*(-4 + 6 - 1)*(3*m - 4*m - 1 - 2).\nAnswer: -18*m**2 - 54*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 14 = 30*d + 3*x, -27*d = x + 133 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135064710 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1091, 1737, 2389, 3047, 3711, 4381?\n\"Answer: 3*a**2 + 637*a + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -291*k**3*y**3*z**3 - 2*k**3*y**3 + 2*k**3*z**2 - 1317*k**3 + 155*k*y**3*z**3 + 17*k*y**2*z**2 - 3*k wrt z.\nAnswer: -1746*k**3*y**3 + 930*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 9*k**2 - 6*k - 2. Calculate m(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 16*f. Let j(l) be the third derivative of l**4\/24 + 160*l**2. Determine n(j(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-22)*(-35970)\/(-2180)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*c - 104*c + 28. Let h(w) = -w**2 - 8*w - 12. Determine h(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256914 times -1?\nAnswer: -2256914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20114, 5.\nAnswer: 1, 5, 20114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2 - (-1062)\/(-19) - 36\/342\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t - 27. What is the remainder when r(-10) is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 - 3. Let d = -5 + 5.4. Which is the nearest to -1\/2? (a) q (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/21)\/(2*2\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1531473\/(-12) + 1\/(-4). Let a = 377623 + q. What is a rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175254*i**6 + 416397*i**2?\nAnswer: 21030480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 181, 275, 377, 487, 605?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7900 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewdc when four letters picked without replacement from {d: 1, y: 1, c: 1, w: 1, e: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*n + 85*n = 5*f + 15, -2*f - 10 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*-50*(-38)\/1. Round g to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -235, -4, 1142.\nAnswer: -235, -4, 1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1532082 or -1532070?\nAnswer: -1532070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 - 118 = -3*w. Suppose a + w = 2*a. Let j = a - -54. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/25 or 0.20095?\nAnswer: 0.20095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 2*y + 3. Suppose 2*f - 4*f = -6. Suppose -k + i = 1, f*k - 5*i = -i - 5. Let t(m) = m + 1. Let v(d) = k*a(d) - 4*t(d). What is v(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2*w**3 - 2*w**2)*(-2 + 3 + 1) - 3*w**3 + 2*w**3 - w**3 + 2*w**2 - 2*w**2 - w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*h - 3880 - 710 = 8295 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -19, -4, 39 in decreasing order.\nAnswer: 39, 2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -982289, -1964575, -2946865, -3929159, -4911457, -5893759?\nAnswer: -6876065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -101*u**4\/12 + 1005*u**2\/2 - 2453*u. What is the derivative of c(m) wrt m?\nAnswer: -202*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134\/(-14) + (-6111)\/(-693) + (-4)\/(-22)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 15) in base 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 42*i - 17*i - 238 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = -3*a. Suppose s = -5*c - a*s + 199985, -4*c + 3*s = -160009. What is c rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**0)\/z)**(-9\/4)\/(z**(-2)*z*z**(-6)))\/(((z\/(z\/(z\/(z*z\/(z*z**(-3\/7))*z))))\/(((z\/z**(-4))\/z)\/z))\/(z\/(z*z**(2\/9))*z**(-2))) assuming z is positive.\nAnswer: z**(580\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -15 - 3) + 29 + -31\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**3 - 8704*c**2 + 1056764*c - 1048064 = 0?\nAnswer: 1, 128, 2047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -1 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/(-12))\/(((-17820)\/72)\/55)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140566 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 526?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 31 + -55 + 62?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11250 - 20672 = -3*d - 19*d. Calculate the remainder when d is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.48408 - -0.18408. What is the fifth smallest value in 9\/4, -1, -2\/13, -1\/2, o?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.088557 days to weeks.\nAnswer: 2.012651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 5 (c) -1\/5 (d) -1\/4 (e) 154\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + sqrt(204)\/(sqrt(300)*-2) - 4*-1*sqrt(1700)*-3).\nAnswer: -1201*sqrt(17)\/10 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = -16*i + 214. Which is bigger: 16.8 or i?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2 + 3 + (-28)\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 66, 43, 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16642059?\nAnswer: 3, 7, 792479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -34*w**2 - 2*w + 1. Calculate g(2).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 151096?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + (9401\/34 - (-6)\/(-4)) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633669378 to the power of 1\/3, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*i - 268, -4*q + 149 = i + q. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {o: 6, i: 2, q: 3, a: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 + 144*u**2 + 771*u + 630 = 0.\nAnswer: -42, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149734485 to the nearest integer?\nAnswer: 12237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 702.513 + 0.4.\nAnswer: 702.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 411651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/28 - 6 - 46\/14 - 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 27*l**2 - 3*l + 3. Let g be c(3). Suppose -2*m + 4 = 0, 2*m - g = 5*h - 38. Let x = -20 - h. What is the remainder when 55 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*w + 4*w - 4*w - 2*w**3 + w to l*w**2 + x*w**3 + v + u*w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -420, -445, -482, -537, -616, -725?\n\"Answer: -v**3 - 18*v - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 9*u - 9. What is the remainder when 16 is divided by z(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -1\/4 (c) 5 (d) -5 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3655 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by -455.\nAnswer: 101\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3968933714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*d + 323 - 395 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -502, -1, 2 in decreasing order.\nAnswer: 2, 0, -1, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -303*z**4 - 97 + 2*z**4 + 114*z**4 - 30 + 23 wrt z?\nAnswer: -748*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0053764 rounded to four dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -438 - -744. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 439*g**2 - 439*g**2 - 585*g**4 + (3*g**3 - 3*g**3 + 2*g**4)*(-5 - 1 + 3) in the form n*g**3 + s + o*g**4 + x*g + w*g**2 and give o.\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*n**3 - 205*n**3 + 2*n - 2*n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265656 is divided by 148.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 5 - (sqrt(350)\/sqrt(2) - sqrt(7)))**2.\nAnswer: -30*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -179*n. Let b(k) = 20*k**2. Determine g(b(d)).\nAnswer: -3580*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 2501133133?\nAnswer: -2501133131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.1 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 43807 times 482\nAnswer: 21114974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -599, -0.48?\nAnswer: -599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -219*v**2 + 2*v - 8. Let m be y(2). Let o = m - -882. Suppose 3\/4 + 1\/8*k**o + 5\/8*k = 0. What is k?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 691179 times -0.5\nAnswer: -345589.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 8666718?\nAnswer: 5\/8666718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = -14*p - 20, 0 = -2*w - p + 32. Solve y + 2*y = 5*h - w, 4 = 2*h - 2*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 38*o**2 + 37*o - 72. Calculate m(37).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 2*y**2 - 2*y - 2. Give o(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 84, 72, 56, 36, 12, -16?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)\/(sqrt(9)*2 - sqrt(9)) + -4*(0 + sqrt(3) + sqrt(3)))*-2)**2 + ((sqrt(33)\/(sqrt(33)\/sqrt(3)) + (sqrt(75) + 2 - sqrt(3)))*6)**2 + 5.\nAnswer: 720*sqrt(3) + 3437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 3.8\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + 90\/100. Let v(w) be the second derivative of -w**3 + 0 + x*w**2 - w. Give v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 669 and 312821501.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29974 - -29978. Find c such that -c + 4\/3*c**3 + 0*c**b + 2\/3 - 1\/3*c**5 - 2\/3*c**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -413.9 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 22 + 5 = 0. Solve -1 = s*x - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + m = -11, 0 = 4*a - 2*m + 8 + 18. Let s(g) = 3*g**2 + g + 6. Let z be s(a). Suppose c - 12 = 2*n, -4*c - n = 3*n - z. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-45)\/(-2)*(-10 - 814\/(-33))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/2)\/((x\/(x\/x**(1\/8)))\/x))\/(x**10\/(x*x**8\/x*x)))**(1\/15))**(-18\/13) assuming x is positive.\nAnswer: x**(-9\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117982 is divided by 1117936?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {j: 2, l: 2, g: 8}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33742.59 rounded to the nearest 100?\nAnswer: -33700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2 = 3*s + 3, -b = -s - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Suppose 36*y = 20*y - 128. Calculate f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11125, 33654, 71189, 123718, 191229?\nAnswer: 273710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 1. Let v(h) = h - 2. Calculate -4*i(q) + 3*v(q).\nAnswer: -5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 124\/3 + 3\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 386 - 385. Let q be 4\/(-6) + 10*10\/15. Let z(o) = -o + 0 + 4 - 3 - q*o**2. What is z(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*26\/65.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/15 + ((-1068)\/(-5))\/4?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - 17*q**4 - q**4)*((3 - 2 - 4)*(-3 + 3 - 1) - 1 - 1 + 0).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*w + 100 - 22, -5*w - 130 = 51*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 20247578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2a87 (base 14) to base 7\nAnswer: 31030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x + 5. Let y be -10 + 16 - 2*x. Solve -4*n + 4*q - 12 = 0, -2*n - q - 9 = -y*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1337543, 2675088, 4012633, 5350178?\nAnswer: 6687723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + h + 12 = 0, -p - h = p - 8. What is the remainder when 19 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 + -91. Suppose 4*j = -2*d - 2*d + t, 0 = 5*j + 2*d - 88. Suppose -4*y = -2*y + 3*q - j, -4*y - 5*q = -34. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let g(b) = -4*b. Let q(c) = -6*g(c) + 40*y(c). Let m(v) = -2*v. Determine q(m(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -284*c + 24 - 24 to the form j*c + o and give j.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-66 - -32 - (2 + 63))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-4)\/(-64))\/((-25)\/100)*-17\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e7 (base 15) to base 13.\nAnswer: 3c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56823329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 75 (b) -1 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:04 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971997 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -859 equal to -857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5807195 + -24?\nAnswer: -5807219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.64 - 13025.\nAnswer: -13024.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 128 - 20 = 4*k + 3*b, -2*k - 50 = 2*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 15 = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + j**4 + j**4 + (-2 - 2*j**2 + 2)*(-4*j**2 - j**2 + 3*j**2) in the form y*j**2 + o*j**4 + k*j + a + g*j**3 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143 - 77. Suppose 0 = 5*i - 3*x - 86, 3*i + 22 = -2*x + d. Calculate the lowest common multiple of 18 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/5)*i**39*i)\/(i**(-2\/3)\/i*(i*i**(-24)*i)\/i))**(-17) assuming i is positive.\nAnswer: i**(-16643\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101121100 (base 3) in base 8?\nAnswer: 65426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -2\/15 (b) -2\/13 (c) 5 (d) 3 (e) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 264 = 3*d. Let n = d + 8. Suppose 20 + n = 5*h. What is the remainder when 35 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58574.\nAnswer: 2, 29287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -15, -121 in increasing order.\nAnswer: -121, -15, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -4659\/1672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 - 33231103?\nAnswer: -33232030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 253584.\nAnswer: 5\/253584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 8*w**2 - 5*w. Let u be g(-8). Is 6 a factor of 12\/8*u\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2174, 8, -96 in ascending order.\nAnswer: -2174, -96, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynnsynlynnsuqyn. Give prob of sequence lyyu.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*a**3*r**4 + 118*a**3*r**2 - a**2*r**3 + 2*a*r**4 - 47*a wrt r.\nAnswer: 1512*a**3*r - 6*a**2 + 48*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -12, -6, 18, 66, 144, 258?\n\"Answer: r**3 - 13*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 13 in descending order.\nAnswer: 13, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + p)*(0*p - 3*p + 5*p)*(14155*p - 5 + 1679*p**2 - 14155*p + 5).\nAnswer: -6716*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00751035 to four dps.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8809.23 (b) -6\/13 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2537706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7276 + -7269. Let v(p) = 4*p**3 - 4*p**2 - 1. Let l(t) = -7*t**3 + 9*t**2 + 2. Let z(d) = -3*l(d) - 5*v(d). Give z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q**3 - q)*((-26 + 8 + 6)*(q + 2*q - 4*q) + (-5 + 0 + 4)*(2*q - 7*q - 12*q)).\nAnswer: 58*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.4 and -0.5.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/66*2*(-279)\/8*2. Solve 97*t + 32 = a*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(176) - (sqrt(176)*-1*-3 + sqrt(176)) - sqrt(176)))\/(-5*(sqrt(144) - sqrt(144)*-2)))**2.\nAnswer: 176\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9)\/(7\/42).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -599781, -1199613, -1799445, -2399277, -2999109, -3598941?\n\"Answer: -599832*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 398, 796, 1194, 1592, 1990, 2388?\n\"Answer: 398*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 9*j - 3 = 4*j, f = 5*j + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34107 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose -32 = 29*m - 45*m. Factor 21*l**m - 14*l**4 - 8*l**2 - 24*l**3 - 5*l**r.\nAnswer: -2*l**2*(l + 2)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66423665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 642412059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 8 - 27 - 970*m**3 + 5.\nAnswer: -970*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42172102*t**4 - 176430185 wrt t?\nAnswer: -168688408*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)\/v**(2\/3))\/(v**(-1\/2)\/v**(1\/2)) assuming v is positive.\nAnswer: v**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702 + 702 + 42*n**3.\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1998 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 0 + 1\/24*j**5 + 1\/72*j**4 + 0*j**3 + 0*j**2 + 9*j + 7\/180*j**6 + 1\/84*j**7. Factor z(m).\nAnswer: m**2*(m + 1)**2*(3*m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 11*r**2 - 11*r - 16. Let j be a(12). Let i(w) = -2*w**2 - 10*w - 5. Let o be i(j). Suppose 0 = -6*k + o*k + 447. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570098.\nAnswer: 2, 285049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14218, 28561, 42904, 57247, 71590, 85933?\nAnswer: 100276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1689\/68 + -418\/17. Let n be 4 - -1 - (-6 - -10). What is the nearest to n in r, 3, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9289 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2027)\/(-7) - (405\/(-63) - -6). Suppose 0 = w - 54 - t. What is the third derivative of -344 + w - 2*a**2 - 39*a**6 wrt a?\nAnswer: -4680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 26*l**3 + 2*l**2 - 4*l + 2. What is j(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552680 divided by -40.\nAnswer: 13817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.879*-2.\nAnswer: -1.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 992.0757 millilitres in litres?\nAnswer: 0.9920757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3128*c + 91335 = -8812 - 52820 + 5951 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1977302565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-116)*(-56)\/(-4) - (-438)\/62\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34677*z**3 + z - 16532?\nAnswer: 208062*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**18)**(-6) assuming g is positive.\nAnswer: g**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -79*p**2 + 2*p + 1. Let m(o) = 159*o**2 - 4*o - 1. Let i(w) = 5*a(w) + 3*m(w). What are the prime factors of i(1)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((2\/(-2))\/((-364)\/(-56)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322 + 102?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6021.632 and 0.2.\nAnswer: -6021.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/2 + 7*p**3\/2 - 3*p**2\/2 - 55*p\/2 + 25 = 0. What is p?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*w + 2\/5*w**2 + 90.\nAnswer: 2*(w + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(-150 - -149).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9360016 + 9 - (-1 - 6). What is o rounded to the nearest one hundred thousand?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-18)*j**(6\/11)\/j assuming j is positive.\nAnswer: j**(-203\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 5*f - 155, 4600*z = 4*f + 4595*z - 103 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -186.788 to zero decimal places.\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1890, 4208, 6934, 10068, 13610?\n\"Answer: 204*d**2 + 1706*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62461, 124933, 187413, 249907, 312421, 374961?\nAnswer: 437533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723439 is divided by 861718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1089572437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -12.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:02 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-368)\/(-28) + 0 + (-12)\/84.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 154?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -280 and 1.95.\nAnswer: -278.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 29 = 81. What is the least common multiple of 16 and k?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2183, 4, 21505, -3 in increasing order.\nAnswer: -3, 4, 2183, 21505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 7 - 27. Suppose 4*v + v + w*q - 262 = 0, -6 = 3*q. Calculate the greatest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6742 divide 5848120790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2359\/4 + 11791\/20. What is the nearest to 1\/3 in h, 3\/5, 4531?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4254566 rounded to the nearest 10000?\nAnswer: 4250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4334359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.46907 and -2047927?\nAnswer: 2047927.46907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -3*o**8\/28 - 77*o**6\/30 + o**5\/10 - o**4\/12 + 538*o**3\/3 - 10686*o. What is the third derivative of q(u) wrt u?\nAnswer: -720*u**3 - 1848*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 6 = -3*r. Suppose -4*n - t = -7, 8*n + r*t - 5 = 3*n. Suppose -3*g - n + 15 = 0. What is the greatest common divisor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 26 = -4*t, 0*t - 2*t - 4*a = -18. Solve -h = -t*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 4740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 38*z - 5. Let g(m) = 13*m - 2. Let w(y) = -17*g(y) + 6*x(y). Let u(q) = -q**2 + 19*q + 6. Let t be u(18). Suppose -t*o + 17 = -55. Give w(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/90 + ((-1)\/(-12))\/((-10381)\/651 + 16).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.1 + 3.1. What is the fourth biggest value in 2\/13, 0.2, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 4, j: 2, o: 2, s: 3}. What is prob of picking 2 j and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 29. Let d = -182 + 229. Let t = d - 33. What is the remainder when m is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53.14 - 1.14. Let l = t - 52.57. What is l rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.72 - 0.28. Let o = -16 - n. Let l = 4 + o. Sort -1\/3, l, 0 in decreasing order.\nAnswer: l, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 2*l**2. Let z = -7 + 7. Suppose -3*o - 4 = c, -c - 2*c - 4*o - 7 = z. Let u(g) = g**2 + g. Calculate c*s(v) - 2*u(v).\nAnswer: -2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -511 + 525. Suppose 1289 = a*s - 13. Calculate the highest common factor of 62 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 10*q + 36*q = 2242. Let i(w) = w**3 - 6*w**2 + 3*w + 7. Let v be i(5). Which is the third biggest value? (a) 0.1 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(-45)*(-27)\/(-5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*q - 300*q + 97*q + 95*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2 + 3*k + 2 - 2. Is d(4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -4)*(2 - 6). Let r = 27 + -16. What is the least common multiple of r and (-1)\/2 - (-84)\/k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -284*c + 283*c. Put 3, c, -9 in ascending order.\nAnswer: -9, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(637) - sqrt(637)) + -3)**2*-4 - (4 + (-2*sqrt(117))\/sqrt(9) + (1 + sqrt(13))*-5)*6.\nAnswer: -190 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 32. Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126970 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 520033.1 tonnes?\nAnswer: 520033100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 + 784*g - 12172 = 0. What is g?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3792, 3753, 3714, 3675, 3636, 3597?\nAnswer: 3558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24840 and 37260?\nAnswer: 74520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086432152?\nAnswer: 2, 13, 43, 83, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82440132 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -133, -150, -187, -250, -345, -478, -655?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162634.2 months to years.\nAnswer: 13552.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 1\/3*y**3 - 5 + 0*y**2 - 4*y. Solve w(o) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 86, 213, 402, 659, 990, 1401?\n\"Answer: x**3 + 22*x**2 - 2*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, d: 2, f: 5}. Give prob of sequence ii.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75240)\/176)\/15*(-16)\/(-42).\nAnswer: -76\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.05 - -386.05. Let j = 379 - x. Which is the closest to -1? (a) 3\/4 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v = -68*v - 485 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**5 + 3*s - 3*s)*(0 + 0 - 2)*(1 + 5 - 4).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2)\/a)**(17\/4) assuming a is positive.\nAnswer: a**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2381700776 to the nearest integer?\nAnswer: 48803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6\/(-4)*1\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2. Let b(d) = -11*d. Let n = 5 - 6. Let g be b(n). Let j(z) = -g - z + 11. What is m(j(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 743684264 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 2*a**2)*(-6 + 13 - 3).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**5 + 9*k**4 - 8*k**4 - k**4 - 3*k wrt k.\nAnswer: 140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45539482082791 - -45539449570626.800067. Let z = k + 32512148. Let l = z - -16.2. What is l rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Suppose -3*l = -n*t - 30, 2*l + l + 2*t = 9. Suppose 0*a + 3*a - 6 = 0, -a = l*p - 7. What is the greatest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7884 - -4?\nAnswer: -7880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 34*o + 142. Let n be z(1). What is the highest common divisor of n and 1892?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 + 120. Let p = n - -54. Suppose 2*m = 6*z - 3*z - 19, -m = 3*z - 4. Solve j = p*r + 7, -10 = 2*j - z*j + 5*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 786 - 789. Sort q, -2\/9, -53\/2.\nAnswer: -53\/2, q, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3 * 150\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 30 - -4 - (-451 - -434)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*c**3\/4 + 947832*c**2 + 1354035*c.\nAnswer: 3*c*(c + 180538)*(7*c + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3011402\/93)\/((-2)\/(-3)).\nAnswer: 48571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/10 + (-3)\/(-3). Let n(o) = -o**2 - 2*o + 5. Let q be n(-3). Suppose -6 = -2*s + 4*h, -2 + 10 = -4*s - q*h. Is s less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 4*r**2 - 2*r**2 - 2*r**2 - 14*r**3 to the form w*r**3 + a + h*r**2 + q*r and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 673 in decreasing order.\nAnswer: 673, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2330647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*(-457)\/(-3))\/(-6). Let v = x - -76. Let o = 1 - 0. Which is the nearest to 0? (a) 0.5 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 539885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*u**3 + 99*u**3 + 78*u**3 + 101*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -955 - z**2 + z**2 + z**3 + 952 - 4*z in the form g*z**2 + p + w*z**3 + v*z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 64. Let m be p(-11). Solve 2*q - 5*w + m = 0, 4*q + 24 = 2*w - 0*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -238.68 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174089 + -2.\nAnswer: -174091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 a when three letters picked without replacement from {v: 3, a: 2, x: 1, m: 4, p: 3, d: 6}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -80. Is v a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 9*y**2 - 13*y + 13. Let n be c(13). What is n rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -2\/3, 1, 180, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -7.7 (c) -0.4 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 = -u. Let b(s) = -s - 2 - 5*s**3 + 3 - s**2 - 3 + 1. Is 2 a factor of b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011202112 (base 3) to base 14.\nAnswer: 49b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -698128 and 107.\nAnswer: -698021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 238343 less than 238130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3091 = 6*d - 3*d, -5*d + 3*f = -5173. Calculate the highest common divisor of d and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 160a - -18?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 112 = 5*f + 94, 24 = 4*v + 5*f. Let c(j) = -63*j + 385. What is c(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135081 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*v**3 + 8*v**2 - 84 + 84 - 3*v**3 - 4*v**4 = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -261*c**3 + 3*c**4 - 36*c**3 - 12*c**3 + 2 - 122*c**3 to v*c**3 + l*c**2 + r*c**4 + q + b*c and give v.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -13*z**3\/6 + 3*z**2 - 1663*z. What is p(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(4\/(-28)))\/(487347\/(-6054))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31647 and 693?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 81. Let w = 27 + -15. Suppose -h = 2*h - w, 5*y - h = m. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 93 + 48 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14585178 + 0.09.\nAnswer: 14585178.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + 1) - sqrt(13)*2*-6) + -1 + -5*(sqrt(65) - -5*(sqrt(65) + (sqrt(65)*-2 - sqrt(65))))\/sqrt(5).\nAnswer: 5 + 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -41*z**2. Let t(k) = 21*k**2 + 2*k + 6. Let b(w) = -111*w**2 - 11*w - 33. Let a(g) = 4*b(g) + 22*t(g). Determine a(f(s)).\nAnswer: 30258*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10185 - -10177. What is the third smallest value in p, 0.03, -34\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*r - 38 = 94, 3*d - 96 = 3*r. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32\/57 in 0.1, -0.09, 0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1819 + -958. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/5)*o)**11*(o\/(o\/o**(1\/4))*o)**33 assuming o is positive.\nAnswer: o**(1177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-2070\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 116*v - 2896. What is the remainder when 718 is divided by c(26)?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -56 - (12\/(-2) - (-2 + 0)). Let d = 83 + z. Suppose -26*q + d*q - 2000000 = 0. What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26607793 or -26607795?\nAnswer: -26607795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25419, 50841, 76263?\nAnswer: 101685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-62)\/(-5) + (-763)\/545. Suppose 2*o + o = -v*o. Suppose -8\/9*g + o + 1\/9*g**5 + 2\/3*g**3 - 4\/9*g**2 + 5\/9*g**4 = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(-24)\/(-90)*((-27)\/(-12))\/9.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65809, 65661, 65429, 65107, 64689, 64169?\nAnswer: 63541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**3 + 3*a - 3. Let f be 0 - (-2 + -4)\/3. Is i(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4331462.13951 and -61.\nAnswer: -4331523.13951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 333, -39, 96?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j**(-2\/19)\/j))*j*j)\/j*j**0)**(4\/9)\/((j**1)**(1\/21)\/((j*(j*j**4)\/j)\/(j**2*j))) assuming j is positive.\nAnswer: j**(583\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 14*z**2\/3 - 4*z - 48.\nAnswer: 2*(z - 3)*(z + 4)*(z + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*c + 3724, -3*y + c + 2982 = -7*y. What is the units digit of (-3 - -3) + 6 - 2*y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 9 + -21 + 22\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**3\/2 + 177555*y**2 + 12069405*y\/2 + 51288830 = 0.\nAnswer: -70988, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1855360 and 728.\nAnswer: 12987520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -51. Suppose 0 = 3*r - o*r + 402. List the prime factors of r.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0096525 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.88932cm in millimeters?\nAnswer: 268.8932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3 = -5*h, -4*h - 693*g = -688*g - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62 + -14506?\nAnswer: -14568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/212 and 89\/143524.\nAnswer: 143524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11805273217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 12*w + 23. Let k be 38\/(-4) + (-2 - (-18)\/12). Let f be d(k). Solve -5*s = -4*l - 12, 0*s - f*s - 3*l = 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 21405757?\nAnswer: 21405762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12501254 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = -5*q + i, -9 = -3*i. Let g be 26\/(3 - 1) + q. Suppose 155 = 3*r - g. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00053 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -210223201?\nAnswer: -210223201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -101?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2060 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 + 6*a**2 - 4*a + 10. Let p = 44 - 49. Let s be b(p). Let y = -33 - s. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, 10\/9, 0.07, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(54 + (-10695)\/207).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 509796 and 3060.\nAnswer: 2548980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r - 10*r + 0*r**2 + 1 - r**2 - 10*r. Suppose -n - 2*n = 2*y + 2, -5*y - 5 = n. Determine c(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, o: 2, l: 1, e: 3, v: 4, a: 3}. Give prob of picking 2 y and 1 e.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843054 is divided by 2735.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bokokkkob. Give prob of sequence bk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 3 = -13*v - c, 4*c - 17 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + d + 17 = 2*d, d - 4 = 0. Solve -n = 5*z - 3*k, z + z = 5*k + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30029*g + 30004*g - 500 = 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*h*l*r - 24*h - l*r**2 + l + 3*r**2 with respect to l.\nAnswer: -10*h*r - r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 40*q - 7493*q**2 + 5155*q**2 + 2338*q**2.\nAnswer: -6*q**3 + 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5 - 423*b**4 - 4386*b**3 - 12564*b**2 - 10920*b = 0.\nAnswer: -130, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.8 and -38.3130951?\nAnswer: 40.1130951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 61 (b) -0.3 (c) -0.17 (d) 1 (e) 171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -496\nAnswer: -14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/((-5)\/20). Let y = 0 - a. Let w be y - (-2 - (-6)\/(-3)). Solve 0 = 3*f + w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-4) + 5)*12. Let h(s) = 2*s**2 - 27*s - 57. List the prime factors of h(d).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389, 413, 437, 461, 485?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(1584))**2.\nAnswer: -192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - m + 2*m)*(18 + 1 - 3) + 2*m - 2*m - 2*m + 2*m + 0*m - m to the form r + s*m and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 23 = -7. Suppose 5*z + 3*u + 15 = 57, -u - 20 = -l*z. Suppose 2*x - z*x - 23 = -5*j, -j + 5*x = -13. Is 3 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*l**5*t**2 - 12*l**3*t**2 + 2*l*t**2 + l + 2064*t**2 wrt l.\nAnswer: 2460*l**3*t**2 - 72*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n + 11. Let p(r) = -4*r - 5. Suppose -2*z - 2*z = -20. Suppose -3*j - 4 = -2*o - 2, -2*j + 2*o = 4. Give j*t(v) + z*p(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - -2)*(45\/(-42) - -1).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 1 = -v - 4*s, -4623*v - 28 = -4628*v + 4*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0*p**2 + 0 - 7*p - 1\/6*p**3. Let d(n) = 2*n**2 - 9*n**2 + 2*n**2 + 4*n**2. Give h(d(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {q: 2, t: 1, h: 4, i: 1, b: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23961\/5 + 4792. Suppose -4*w + 99 = -33. Sort z, -0.4, w, 3\/7 in descending order.\nAnswer: w, 3\/7, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10986027, 10986026, 10986025, 10986024, 10986023?\n\"Answer: -n + 10986028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in 6, -2\/5, 0.5, 95, -1\/3?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -38*1\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 27*w**2 + 3*w + 22. What is the remainder when h(-3) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -8*p - 6. Solve -2 = r + 2*v, 2*r - 5*v = -p*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-3)\/9)\/(19194\/(-4113))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 829721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*t - 46*t + 17*t + 22*t + 18 as v*t + f and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 - 7*m + 7. Let w be q(5). Let u(n) = n**3 + 5*n**2 + n - 3. What are the prime factors of u(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 6) in base 2?\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 22 = 4*v, -v + 10*l + 13 = 6*l. Suppose 0*s - 4*s = -20, 22 = -2*a + 4*s. Put -5, 4, a, v in descending order.\nAnswer: v, 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gycgggy. What is prob of sequence gc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1321 - 10663\/8. Let z = 91 + -103. Let m = z - i. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.065 - -1.135. Let h = -102 + 102. Which is the nearest to h? (a) q (b) -2 (c) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/108 and -35\/18.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -10 (b) 2\/17 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 50*f - 46*f. Let i be ((-6)\/(-18))\/((-1)\/(-78)). What is the greatest common factor of f and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 8\/(-64)*4*16 - -27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1535198)\/69748 + 3\/282\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h + 5*u - 5, 0 = u - 1. Let p(o) = o**2 + 1. Calculate the least common multiple of p(0) and 3 + 20\/4 + h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4*i - 15 = -5*q, 2*i + 5*q = 18. Let k be (((-12)\/(-9))\/(-4))\/(-3). Is k at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18497 is divided by 134.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56333581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3298 - 3159. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 4, 9\/5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12075 - 7*v**2 + 14*v**2 - 12075 - 13*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 3098 = -9582. Calculate the remainder when m is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1300) + 1 + sqrt(1300))**2 + sqrt(1300)*-1 + 4 + ((sqrt(208) - (sqrt(208) + sqrt(208)*-1 + 1)) + sqrt(208))**2*5.\nAnswer: -90*sqrt(13) + 9369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -80. Let h(r) = -59*r - 8. Let m be h(u). What is m rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exxxxeexxxxejxjaxzx. Give prob of picking 3 z and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.252612527 + -2859.257794527. Let v = l - -2859. Round v to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q = 15. Suppose q*n = -28 - 57. Is 1*((-4)\/2 - n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 262. Let g(q) = 10*q**2 - 3*q - 3. Let m(d) = -14*d**2 + 4*d + 4. Let a(z) = -4*g(z) - 3*m(z). Determine s(a(k)).\nAnswer: 2*k**2 - 262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 1, n: 1, q: 3, i: 4}. What is prob of sequence iii?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2. Let m(d) be the second derivative of d**3\/3 + 493*d**2\/2 + 9060*d. Calculate m(z(g)).\nAnswer: -4*g**2 + 493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 21*z**2 - 587*z - 12. Calculate v(28).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38064?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 4\/((-80)\/(-60)*3\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-3))\/((-4)\/(-18)). Let m(i) = i**4 + 7. Let f(o) = -o**4 - 3. Let p(q) = y*m(q) - 13*f(q). Find the first derivative of p(z) wrt z.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5230, 3.\nAnswer: 3, 5, 5230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*c - 50*c - 51*c + 42*c in the form t*c + u and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 37*g**2 - 53*g + 149. Is 46 a factor of j(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 106 - 80?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - 10*z**2 + 10*z**2 + (5*z**3 - z**3 + 7*z**3)*(z**2 - z**2 - 2*z**2) + 2*z**5 + 3*z**5 - 6*z**5.\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -129*0.13\nAnswer: -16.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -29. Sort -6, b, 4.\nAnswer: -6, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8) - (-1)\/(-2). Let j(u) = u + 2*u - 2 - 2*u + u**2. Let b be j(c). Solve t + w = 10, 4*t - 8*w + 4*w = b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2 - 3 + 2 + 2*n + 6. Let t be w(6). Calculate the greatest common factor of 45 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 77574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, g: 18}. What is prob of picking 3 g and 1 q?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 - 197. Let f be (-52)\/(-286) - z\/(-11). Let n = -1 - -5. What is the highest common divisor of n and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/3))**(-1\/19)\/(u*((u*u*u**(-10)*u)\/u)\/u*u**4\/u) assuming u is positive.\nAnswer: u**(280\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1074*t**6 - 3*t**3 - 2*t**2 + t + 1184 wrt t?\nAnswer: 128880*t**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 17 - 5. Suppose -y + r = 4*y + 3*f, -4*f + 3 = -5*y. Which is the nearest to -2\/5? (a) 5 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133285.276 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y + 84372 = 93*y - 350628. Does 29 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2998 (b) -1\/7 (c) 0.2 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(2\/15)*w*w**(4\/5)\/w*w**(1\/4)*w**(-1\/4) assuming w is positive.\nAnswer: w**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 41260*p - 247568. What is l(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 31*x**2 + 47*x + 33. Does 11 divide p(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1231*d + 3. What is x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -941909.0940113 - -941909. Let q = -0.094 - m. Round q to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-36)\/(-1))\/(-4)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10849 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -q + 13, -4*q + 0*q - 8 = -4*c. Let z = 69\/244 - 2\/61. Let o be (13\/39)\/(5\/3). What is the nearest to 1\/4 in c, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**4\/12 + y**3 - 5*y**2\/2 - 2*y. Let m be i(5). Let f = -192\/455 - -2\/91. Is m > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*c + 11 = 2*c, 3*t = 5*c + 7. Suppose 3*v + t*z - 596 = 0, 0*v = 5*v + 5*z - 990. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.281 + -0.381. Let f = -18 + s. What is the smallest value in -4, f, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 7 - 32 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15341, 61392, 138151, 245624, 383817?\n\"Answer: o**3 + 15348*o**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 1368801.\nAnswer: 13688010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/12)\/(125\/(-750)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**4 - 2*k**4 + k**4)*((k + 0*k - 2*k)*(2 - 1 + 0) + 2*k + 3*k - 7*k - k + 2 - 2 + 0*k + 2*k - k - 32*k - 2 - 68*k + 21*k).\nAnswer: -164*k**5 - 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - r. Let z(o) = -o**3 - 2*o**2 + o. Let x be z(1). What is the least common multiple of t(x) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 11) in base 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00095991 rounded to 6 dps?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/5))**(40\/9)\/((v**0*v)\/v**0))**9 assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 - 6*r - 8. Let s be h(-1). Let v(c) = -3*c + 5. Let u(b) = -b**2 - 5*b + 9. Calculate s*v(m) - 3*u(m).\nAnswer: 3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 131422176959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(4\/3))**(-2\/19)*t**(2\/13)*t**(-1\/11) assuming t is positive.\nAnswer: t**(-1489\/8151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 17*f - 10*f - 2*f + 5 = 3*f - 46, -5*f = 0 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/22748 and -47\/4598.\nAnswer: 432212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1520 + -1026. Suppose 0 = -4*m - 150 + s. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 14, i: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -265 divided by -271\nAnswer: 265\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 122, 270, 474, 734, 1050, 1422?\nAnswer: 1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = m + 6*l - 941, 0 = 5*m - 3*l - 4593. Let u = m - 506. Suppose 6*c = c + u. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 96 = -0*r. Suppose 7*q - 62 = -5*y + 3*q, r = 2*y + 2*q. Let z(w) = w - 5. What is the units digit of z(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {c: 2, j: 11, u: 2}?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 317 = 5. List the prime factors of a\/253 + ((-6816)\/(-22))\/1.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y + 16. Let c = -6 - y. Let z = 0.46 - 0.06. What is the third smallest value in z, 19, c?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 - -527. Let m = w + -406. What is the third biggest value in 0.01, m, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/17*(-35275)\/8300\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/1941264 and -67\/336?\nAnswer: 13588848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -77*z**3. Let p(y) = -39*y**3. What is -5*p(d) + 2*u(d)?\nAnswer: 41*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 33. Let s = x + 23. Let c(u) = 2*u**s + 0*u**2 + 3*u**2 + u**2. Let k(v) = -3*v. Give c(k(w)).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 - 1)*(-1 - 31 - 2) - 4 + 0 + 3 - 7 + 3 + 1)*(4*n + 2 - 2)*(4*n - 4*n + n) to u*n**2 + h*n + q and give u.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1501581 or -1501617?\nAnswer: -1501617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)\/sqrt(4))\/sqrt(7))\/(sqrt(12)*2))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.025 - 16.425. Let d = 16 + w. What is the closest to -1\/2 in d, 6, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 50906*o**3 - 101815*o**2 - 50908*o.\nAnswer: o*(o - 50908)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l**3 - 10*l**2 + l - 2. Let d(t) = 2*t**3 + t**2 - t. Let p = -218 - -219. Let b(i) = p*s(i) + 5*d(i). What is b(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51281 - 31049. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r + 2. Suppose -3*j - 3*f = r*j - 12, -2*j - 3*f + 3 = 0. Let g(x) = -x - 10. Let p be g(j). Does p = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2982552 divided by 453\nAnswer: -6584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -153423330 (base 6) in base 5?\nAnswer: -1313104414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-10)*(4 - 379). Let s = k + -173. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 7*u**2 - 29*u - 6. What are the prime factors of g(-5)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 22. Let z(m) = m + 7. Let l be z(f). What is the units digit of 2 + (0 - 0) + l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/12 (b) 472\/9 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggbg when four letters picked without replacement from bigggggiii?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-9)*-4*6\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 36*v**3 + 44*v**2 + 40*v. Let u(g) = -7*g**3 - 9*g**2 - 8*g. Let n(f) = 3*s(f) + 16*u(f). Factor n(k).\nAnswer: -4*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 + 761*w - 34395. Let h be s(74). Let l(i) = i**2 + 2*i. Let q be l(4). Solve -h = -3*c - q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87159 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-2)*1)\/1. Let q = 7944\/19 - 176877\/418. Calculate the common denominator of -97*(-2)\/(-32) + z and q.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -4. Let h = 0.565 + -5.565. Is h bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**7\/21 - 7*g**6\/3 + g**5\/5 + 35*g**4\/3 - g**3\/3 - 35*g**2 + 1036*g. Suppose d(j) = 0. What is j?\nAnswer: -35, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h + 89*h + 23*h + 20574. Which is smaller: h or -156?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115336545 less than -0.3?\nAnswer: 115336544.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q**3 - 3*q**2 + 11*q - 3. Let n(m) = -18*m**3 - 5*m**2 + 23*m - 5. Let k(h) = -3*n(h) + 5*t(h). What is the second derivative of k(v) wrt v?\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 4*d + 6. Let b = -7 + 3. Let a be i(b). What is the units digit of 16\/a - (-2)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + u = -320. Let k be 30\/u - 3\/(-12). Which is smaller: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208 - -211. Suppose -2*g - 10 = 0, 3*g - 4689 = -u*t + 2625. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5184*s = -6576*s + 112350 + 275730 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/18 and 99\/244.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*(-9)\/(-12))\/((-5)\/(-2820)). Suppose -29*p - b = -32*p. Is 47 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((18\/(-4))\/(-3))\/((-5)\/50). Find the common denominator of -1*(-79)\/18 + (-5)\/i and -23\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8523 + -5837. Calculate the remainder when g is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -690a (base 15) to base 6\nAnswer: -251101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 72. Suppose d*b + 3*s - 48 = 0, 3*s - 2*s = 2. What is the highest common factor of b and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79 and 495883.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 10*p - 21. Give j(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4903.359 centuries to millennia.\nAnswer: 490.3359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/2 - -6)*1. Suppose 0 = -i*w + 9*w - 112. What is the least common multiple of w and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -1a?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose l*t = a - 0*a + 45, -5*a + 111 = 4*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/616)\/(4\/(-476))*11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528765923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007299 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*s - 24*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e4 + 19e?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23343676, -23343677, -23343678, -23343679?\nAnswer: -23343680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3683048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/22 + -59\/198. What is the smallest value in -0.3, z, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5529788?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -156 + 507. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (25\/(-1395))\/(((-2)\/3)\/(-2)). Let w = -29\/155 - o. Which is the second smallest value? (a) -4 (b) 5 (c) w (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.964 - -0.036. Let t = u - 16. Let x = t - 4.088. Round x to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20122 (base 9) to base 4\nAnswer: 3032213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/120 - 3*a**5\/20 - 11*a**3\/6 - 1216*a**2. Give p(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 8, 0.03, 1, 0, -1\/2 in decreasing order.\nAnswer: 8, 1, 0.03, 0, -1\/2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50553, 101202, 151875, 202578, 253317, 304098, 354927, 405810?\nAnswer: 456753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695845553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -50) + (-1295 - -1235)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 + 2. Let x be p(6). Suppose -r + 6 = -0*r + 3*t, x*r - 4*t - 42 = 0. What is the units digit of 35\/r - 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r + 24*r = 3*f - 23, 12*f - 56 = -r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 25*n**2 - 17*n - 33. Calculate q(26).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.185 + 0.178. Let y = 0.093 - b. Let l = -22\/7 + 65\/14. Sort y, l, -3 in decreasing order.\nAnswer: l, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322794565 is divided by 7710.\nAnswer: 7705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -86. Let r = 84 - u. Solve 4*h = 2*c - 8, r*h + 4*c = c + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 23*i**3 + 6*i**2 + 3*i**2 + 0*i**2 - 12*i - 12 - 22*i**3. What is the units digit of s(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -776 and 4711.\nAnswer: -3655736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -12*a**2. Let m(n) = 11*n**2 + n. Determine m(s(x)).\nAnswer: 1584*x**4 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -1\/108, 20, 2\/15?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150*v - 5 - 421 + 162 with respect to v.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.012, 2\/3, -2, 0.04, -65?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x - 16. Let k be n(-10). Let y = k + 226. Suppose 76 = 4*h - y. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -90*v - 3677. Let z be o(-101). Does z = 5414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*t = -108 - 423, 4*t = 5*m - 528. Is 36 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -36\/11689 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g + 15. Let c(l) = -2*l - 8. Let f(i) = 7*c(i) + 4*m(i). Let x be f(3). Suppose -o - 3 = -x. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26292095.1s to days.\nAnswer: 304.30665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 9*p + 240. Suppose -p = 5*t - 35. Sort -5, t, 2, -7 in ascending order.\nAnswer: -7, -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 410 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1827794268?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 181, 208, 245?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 - -225. Suppose -w - z*w + 100 = 0. Calculate the greatest common factor of 50 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.38 + 43.38. What is the nearest to 0 in p, 0, -0.5, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-9\/5)\/g))\/g)\/(g*g\/(g**(-6\/11)*g))*g**(18\/5)\/(g*g**(3\/17)*g))**(3\/2) assuming g is positive.\nAnswer: g**(3756\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z + 8*z - 2*z + 2*z + 2. Let m(o) = -2*o**3 - o**2 - 2*o - 1. Let a be m(-1). Determine b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/60 + 7*h**4\/12 + 2*h**3 - 3*h**2 + 5*h. Suppose w(o) = 0. Calculate o.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -29. Suppose 3*t - 5*l = 135, -2*t + 0*t + 2*l = -86. Let m be (t\/(-12))\/((-2)\/(-6)). Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by ((-5)\/(-5) - 13)*22\/(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8309890, -16619780, -24929670, -33239560?\n\"Answer: -8309890*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8*m + 1\/6*m**3 - 8\/3*m**2.\nAnswer: m*(m - 12)*(m - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = 4*z + 1, -3*z + 7 = 2*v. Let w be -7 - (0\/2)\/3. Let x(b) = b + 3. Let c be x(w). Put 4, c, z in ascending order.\nAnswer: c, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) + 3*sqrt(200)).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**4 + 1645*h**3 - 15210*h**2 = 0.\nAnswer: -338, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 + 24*x + 21. Let t be f(-3). Which is the nearest to 1? (a) t (b) 2.777 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 32. Let s be w(-22). Let h(t) = t**3 + 12*t**2 + 4*t + 44. Let y be h(s). Which is the biggest value? (a) -10 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6\/23, 2, -2, 2\/9?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/16 - (-69)\/(-12). Let t be 6\/8 + (-132)\/(-16). Calculate the remainder when u\/(-2) + t - 3 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/(-7)*2\/2. Let d be (0\/3)\/(-2 + s). Let r(u) = -u**3 + 9. Determine r(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -1 in increasing order.\nAnswer: -6, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 3*-13)*(-5)\/15. Calculate the common denominator of (92\/36)\/((g\/(-9))\/(-4)) and 58\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 u, and 1 a when four letters picked without replacement from jaauauju.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 245\/4*s**2 + 0*s - 35\/2*s**3 - 5\/4*s**4.\nAnswer: -5*s**2*(s + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8602360 take away 1776819?\nAnswer: -10379179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + v - 7 = -2*v, -4*f = 5*v - 17. Let b be (-2)\/f + 21\/4. Solve 4*u - b = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 3, 12, 25, 42, 63, 88?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 337260318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 4:59 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/8))**4*(g**(-7)\/g)\/g*g**(-1\/3) assuming g is positive.\nAnswer: g**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -36*r**5 - 32*r**4\/5 + 41*r**3 + 6*r**2 - 5*r + 2\/5 = 0.\nAnswer: -1, -1\/2, 1\/10, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 2 + -7)*-1. Solve -v = -x, 5*b - 4*x + 14 = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 827.\nAnswer: -5\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (2 - 5 - -6). Let j(p) = -p**2 - p - 1. Let l be j(-1). Let m be (-5)\/(-5) + (h - l). Solve 5*b - 3*r - 22 = 0, -2*b + r + m = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 13. Let j be k(-11). Solve l = 3 - j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 6142609?\nAnswer: 40\/6142609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*n - 69*n - 161*n + 111*n.\nAnswer: -279*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 112\/16*(-4)\/(-14). Calculate the remainder when 34150\/125 - b\/10 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7084 (base 12) to base 11.\nAnswer: -9188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4701*p**3 - 1046 wrt p.\nAnswer: 14103*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1539) + 2)*-3 + 4)**2 + (sqrt(1539) + -1*(-2*sqrt(1539) + sqrt(1539)) - ((sqrt(1539) - (sqrt(1539) + 4) - sqrt(1539)) + -2 - sqrt(1539)))**2.\nAnswer: 216*sqrt(19) + 80068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 6\/4*-2. Which is the nearest to -1? (a) 1\/3 (b) k (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 146239, 146241, 146245, 146251, 146259, 146269?\n\"Answer: q**2 - q + 146239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 48, -2.\nAnswer: -2, 6, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q. Suppose q = -t - t + 38. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 = 2*k, -5*k - 5*t + 11 = -t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47 * -5236.\nAnswer: -2460.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, z: 2, c: 1, e: 2, u: 3, w: 1}. What is prob of sequence uzwz?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -7 (b) 0.4 (c) 183.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65214461 and 8177?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-17)\/1020*15*(-2)\/4?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 520 = s + 5*a, 0 = 4*s - a - 1058. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-45) + (-5)\/(-15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*m = -64, -3*f - 24 - 11 = -5*m. Let u = -12 - f. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*y**2 - 76*y + 28.\nAnswer: 4*(y - 1)*(12*y - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 14*u**2 + 56*u + 11. Calculate m(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*y - 104. Let p be (-1)\/2 + y\/4. Solve 4*l - 2 = -p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -3\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54664.02l?\nAnswer: 54664020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 25. Sort 6, r, 1 in increasing order.\nAnswer: r, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52809 + 52814. Let b be 2\/7 - 20\/(-28). Solve -x + 1 = -l*m + 2, x + b = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -403 - -504. Is 103 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 30 = g. Let b be (21\/(-7))\/(g\/(-176)). Suppose 61 = j - b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j**2 - 5*j. Let a(u) = -45*u**2 - 21*u. Suppose 11*t + 25 = -206. Determine t*l(k) + 5*a(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98001 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10760*a**3 - 3603*a**2 + 39*a. Let z(s) = 5379*s**3 - 1802*s**2 + 18*s. Let l(n) = -6*q(n) + 13*z(n). Find the third derivative of l(w) wrt w.\nAnswer: 32202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:48 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 379 = n, 0*n + 5*a + 818 = 2*n. Let h = 716 - n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1587304 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-5))\/x)**0\/(x\/(x\/(x**14\/x))*x*x)**(2\/155) assuming x is positive.\nAnswer: x**(-6\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7. What is the second derivative of x**i - 3*x - 2*x - 4*x**2 + 3*x wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-28)*18\/45.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 p when three letters picked without replacement from {f: 12, a: 2, p: 5}.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - j**2 - j. Let w(i) = -3*i**3 + 6*i**2 - 2. Let c(l) = 5*l**3 - 12*l**2 + l + 4. Let q(d) = 6*c(d) + 13*w(d). Give 6*o(k) + q(k).\nAnswer: -3*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -722, -2048, -4254, -7334, -11282, -16092?\n\"Answer: k**3 - 446*k**2 + 5*k - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*5\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -443 + 437. Let l(c) = 16*c + 144. Calculate the remainder when l(b) is divided by 2\/(-8) - (-138)\/8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*11\/66 - -10*((-104)\/(-48) - 2). Factor -u*x**3 - 16\/3 + 4\/3*x**2 + 8\/3*x.\nAnswer: -2*(x - 2)**2*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24\/61 + 2133\/305. Let j be (-6)\/(-2)*(-19124)\/47985. Let a = -2\/457 + j. Calculate the common denominator of t and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 - -374. Let q = w + -1359\/5. Let f = 1.3 + -0.3. Which is the second biggest value? (a) -1\/8 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2245405 + 11122?\nAnswer: 2300531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 23 = -5. Suppose p = 5*w - 21. Let b = w + -5. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + 4*u)*(4*u**4 + 0*u**4 - 6*u**4 + (5*u - 3*u - 3*u)*(-u**3 + 4*u**3 - 4*u**3)).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:31 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16524615449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2851850143 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2106 and 2157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153635, -307273, -460913, -614555, -768199, -921845, -1075493?\nAnswer: -1229143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-78)\/(-8) + 4\/2 and 62\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 6, n: 1, i: 1, q: 1}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*((-8)\/2)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(539) + -1.\nAnswer: -1 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f**2 - 1\/3*f**3 + 4\/3*f + 0 = 0. Calculate f.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 18. Suppose n + 0 = 3. Suppose 5*v = -y + 14, 5*v + 16 = n*v + l*y. Solve -a - 3 = 4*s + 19, v*a + s = -9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -167803, -335631, -503449, -671251, -839031, -1006783, -1174501?\n\"Answer: o**3 - o**2 - 167832*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19505, 38389, 57273, 76157, 95041?\n\"Answer: 18884*s + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 1. Let x(v) = 7*v + 128. Give -4*m(g) + x(g).\nAnswer: -g + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/249 and -65\/254478.\nAnswer: 254478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 84*r + 43*r + 0 in the form l*r + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*a + 112*a - 19*a - 2 - 8*a + 149*a to p*a + r and give p.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38876.\nAnswer: 2, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(2\/(-4) + -18 + 18). Let i(k) = 12*k**2 - 4*k - 8. What are the prime factors of i(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 4*f + 2. Let r(s) = s - 10. Let k be r(0). Let n = 14 + k. Let c be 84\/(-49) + n\/(-14). What is p(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 227 + -132. Let s = 6319226.000043 + -6319131. Let i = s - v. What is i rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/2 + 595727*g - 354890658529\/2 = 0.\nAnswer: 595727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -76, 4, -4, -4970, 5 in decreasing order.\nAnswer: 5, 4, 1, -4, -76, -4970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 3:32 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*i**2 + (i + 3 - 5 + 1 + (2 + 0 + 0)*(2*i - 2 + 2))*(2*i + i - i) in the form v*i + l + y*i**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 7*l**2 - 8*l - 3. Suppose 13 + 11 = 3*s. Let d be a(s). Let c(x) = 2*x**3 - 6*x + 3 - x**3 + 3*x**2 + 4*x. Determine c(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 9846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((33\/4)\/11)\/(6\/16). What is the greatest common factor of x and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 8*b = -8055. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93297576014 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 6*v - 2. Let z be q(-5). Suppose -z*k - 15 = 0, -t + 2*k + 268 = 7*k. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 4653?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-125)\/(-110))\/(-5)*(-18)\/15*2.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 78\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -7. Suppose 0 = w - 9 - 79. Calculate the greatest common divisor of a and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c + 1. Let z(m) = 19 + 12 - 55 + 18 + 13 - 7*m. What is 7*u(h) - z(h)?\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 487870?\nAnswer: -29\/487870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*i + 3 + (i - 2 + 2)*(-4 + 4 - 2) - 5*i - 6 + 6 + (-1 + 3 - 1)*(-3*i - 4 + 4) - 6*i + i + 2*i to the form p + b*i and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 65, -0.2, -45\/46?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 + 2*f**4 - 4*f**3)*(-2*f + 2*f + f) + (-3*f + 0*f + 4*f)*(-1 + 1 - 3*f)*(0*f**3 - 3*f**3 + 2*f**3).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32229 - 8722. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2. Let c(u) = -2329*u**2 - 2168*u + 4333*u + 100*u**2 - 2165*u. Give c(k(z)).\nAnswer: -8916*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -180, -657, -1480, -2655, -4188?\n\"Answer: -b**3 - 167*b**2 + 31*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Suppose 0 = -2*y - d + 5, g*y - 10 = -4*d + d. Suppose 2 = -y*p - 23, 20 = 5*a + 4*p. Solve -i + a = -2*t, -3*t + 0*i = -i + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16565578, -33131155, -49696732, -66262309?\nAnswer: -82827886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - k + 7 = -0*k, 1 = -4*w - 3*k. Let r be (4\/(-10))\/(w\/(-1120)). Calculate the greatest common divisor of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 12. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -146*x - 4. Let a(l) = 402*l + 11. Let v(q) = 4*a(q) + 11*i(q). Let j(t) = t**2 - 1254*t. Determine j(v(n)).\nAnswer: 4*n**2 - 2508*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366434558?\nAnswer: 2, 7, 17, 1539641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(5 + 1) - 0. Find the third derivative of -9*h - 3*h**d + 16*h - 7*h + 16*h**2 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnznzzl. Give prob of picking 1 l, 1 n, and 1 z.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b*v**2*w**2 + b*v*w**2 - 14*b*w**2 + 4*b - 7*v**2 with respect to w.\nAnswer: -8*b*v**2*w + 2*b*v*w - 28*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 78. Let j(x) be the second derivative of 0*x**3 - 9\/40*x**5 - 1\/12*x**4 + r + 3*x + 0*x**2. Factor j(d).\nAnswer: -d**2*(9*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -517 in ascending order.\nAnswer: -517, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 7519.63238?\nAnswer: -7519.55238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 - 13*c**2 + c**2 - 90463*c + 90463*c - 13*c**2.\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.7 + 2535.\nAnswer: 2553.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (-26 - (-8 + -10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8063577662 rounded to the nearest one million?\nAnswer: 8064000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*b**2*l**3 - b**2 - 6*b*l**5 + 185*l**2 wrt l?\nAnswer: -144*b**2 - 360*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 5:07 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*v - 17, 0 = -1722*v + 1719*v - 3*r + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/5664 and 67\/472.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*w + 124 = 0, -k + 2*w + 28 = -0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + -5*(-2*sqrt(76) + 2 - sqrt(76))*-5 + -5)*1.\nAnswer: -150*sqrt(19) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2826*s + 3 = w - 2824*s - 4, -2*s = 5*w + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -97854 greater than -99935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 5*i**4\/12 + 17*i**3\/6 - 10*i**2. What is the derivative of z(u) wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43453 + -43461.9895. Let r = k - -9. What is r rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*j - 52*j + 3*j**3 - 50*j - 42 - 4*j**3 - 7*j**2 to the form v + g*j + a*j**2 + y*j**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, p: 3, t: 4}. What is prob of picking 1 g and 3 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 5*a - 4*x, 0 = 3*a - 5*x + x - 115. Let r = 44 - a. Solve 0 = 2*o - 3*g + 17, 0 = r*o - 8*o - 5*g - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - 4.1. Let m = 11 + -21. Let l = g - m. Which is the third smallest value? (a) -0.4 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10)\/(-84*23\/(-828))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5764130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Let t be 45\/12 - i\/4. Suppose u - 7 = -4, -21 = t*z - 3*u. Which is smaller: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-7)\/(-2)*91\/(-49))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000863278918 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -16. Suppose -5*f - a = -319, r*a + a + 197 = 3*f. Suppose -4*h = -3*w + 95, 5*h + f = w + 14. What is the remainder when 74 is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6084 + 652 = 7*d. Let l = d - -1435. Differentiate -329*i**4 - 327*i**4 - 7 + l*i**4 wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-45) - (-32)\/18. Suppose -s*i = -4*k + 20, k - 5 = -i + 3*i. Is i at most -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 20 = -0. Let k = -16 - c. Let u be 2\/k - (-20)\/12. Sort u, 3\/4, 5 in ascending order.\nAnswer: 3\/4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -60. Suppose 0 = x + 2*x - 45. Suppose 5*b - x = 2*b. Solve 2*c = 0, 3*c + i + 2 = -b*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10830815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 0\/(-2))*-1. Let t(b) = 1. Let z(i) = -i - 10. Let k(o) = -6*t(o) - z(o). Let m be k(-4). Solve l*w = p + 14, m = -3*p - 2*p + 3*w - 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and ((-375)\/(-10))\/(10\/140*35\/60)?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 1349\/465?\nAnswer: 1349\/465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -19, -1, -191?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4992\/(-312)*10\/(-8)*2\/(-5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -5200*r**3\/3 - 11553*r - 10986. Differentiate t(b) wrt b.\nAnswer: -10400*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20000 (base 3) to base 14\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 216, 151.\nAnswer: -9, -4, 151, 216","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5612 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1, -13, 3 in increasing order.\nAnswer: -13, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.97 + 24. What is i rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1538 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*l = -4, 19 + 5 = 4*f + 2*l. Let u(c) be the third derivative of 0*c - c**2 + 0 - 1\/24*c**f - 1\/6*c**3. What is the derivative of u(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/13*s**3 + 222\/13 + 446\/13*s + 226\/13*s**2 = 0.\nAnswer: -111, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let i(f) = -11*f - 18. What is i(s(p))?\nAnswer: 11*p - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131991438 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6\/13))\/y*y\/y**(2\/15)*(y\/(y\/(y*y*y**0)))**1 assuming y is positive.\nAnswer: y**(469\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 14252 (b) 13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 2. What is the closest to 1 in v, 5, -1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3113\/5 + -623. Is m at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(448) + 3 + sqrt(448))*-6 - sqrt(448))**2 + (sqrt(448)*-4 + 4)**2).\nAnswer: 17440*sqrt(7) + 416100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**(2\/9))**(19\/3)\/((f**(-1)\/(f*f**(-1)))\/((f*f*f**2)\/(f**(-2\/9)*f))) assuming f is positive.\nAnswer: f**(133\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 1. Let c be z(3). Let i be (-1)\/3*c*3. What is the second derivative of -2*o - i*o**4 - o + o wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 8:41 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67729207.\nAnswer: 7, 13, 17, 43781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4344511 - 3?\nAnswer: 4344505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5\/3 + 29*k**4\/3 + 104*k**3\/3 - 244*k**2\/3 - 400*k\/3 + 512\/3 = 0. Calculate k.\nAnswer: -4, -2, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**3 + 7*f**3 + f**3)*(32*f + 29*f + 10*f) in the form v*f**4 + d*f + s + u*f**2 + i*f**3 and give v.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 275 + -143. Let s = 30 + -31. Let a be (25 - 19)*(s - -3). Calculate the greatest common divisor of n and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 12*h + 10. Let i be s(5). Let c = i + 217. What are the prime factors of c?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, n: 2}. What is prob of sequence nl?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70\/30*18\/21. Let r(p) = -2 + 5*p**2 + 2*p**2 - 3*p**2 + p. Let o(q) = 9*q**2 + 2*q - 5. Give d*o(k) - 5*r(k).\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - o. Suppose 2*t + o*t = 32. Suppose t*k + 10 = 9*k. What is the highest common divisor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.21 in -0.5, 0, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + s**2 + 3)*((-4*s + 0*s + 2*s)*(-s + s - s) + (-s + 1 - 1)*(-186*s - 2032 + 2032)) to the form x*s**2 + z*s + f + o*s**3 + d*s**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.999769 + -27. Round s to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005075943 rounded to 7 dps?\nAnswer: 0.0000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4*u + 8, 0*o - 5*o + 2*u + 4 = 0. Let n = 0.03 + 0.27. Let f = n - 0.31. Which is the nearest to o? (a) -3 (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdddbdsddbpq. What is prob of sequence qdb?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/(-2)*1. Find the second derivative of -3*u - 3*u**4 + t*u**4 - 2*u**4 - 3*u wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 34, 11 in decreasing order.\nAnswer: 34, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + -1 + (-4 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l - 216. Let f be x(32). Let n be -12*((-5)\/3 - -1). Let c = 48 + n. What is the highest common factor of f and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**2 - 3*d + 4*d + 2 + 13*d**2 - 2*d**2. Suppose 3*f - 64 = -5*i + 4*f, -42 = -3*i - 3*f. Calculate the remainder when w(-1) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6) - (75\/(-18) + 3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 24. Suppose 4*w - p = -2. What is the third derivative of -3*b**2 - 2*b**4 + b**w + 3*b**4 wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 30. Suppose -m*i - 49 = -39. Put 5, -4, i in decreasing order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000000100100 + -11?\nAnswer: -1101000000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109935126 to the nearest integer?\nAnswer: 10485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {y: 5, w: 1, b: 3}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17480, -34957, -52434, -69911?\nAnswer: -87388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10 = 79. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(2) - sqrt(70)\/(sqrt(60)\/sqrt(6)))*3*6.\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dudsddssssssd. Give prob of sequence du.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251171 + 26843 = 22*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -15. Let w = 12 - h. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxdkkdxkkrrdordoddkx. What is prob of sequence oxr?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -319212.9 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -33, -48, -79, -132?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - t**2 - 3*t**2)*(-178 + 178 - t**2).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.217794933 less than -24.8?\nAnswer: -5.582205067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20455 to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12115732?\nAnswer: 2, 137, 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 430*t - 429*t + 2*t**2 - 3*t**3 + t**3 - t**2 - 6 as q*t + w + j*t**2 + f*t**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*z**2 - 2 - 1 + 3*z**2 + z**2 - 2*z**2 + (-z + 0*z + 3*z)*(z + 2*z - z) - 3*z**2 + z - z + z**2 + 2*z**2 - 5*z**2 to g*z**2 + n + t*z and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151 + -298. Let h be -7*(-35)\/s*-3. Which is smaller: 25\/6 or h?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 1, -11650 in decreasing order.\nAnswer: 1, -53, -11650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -3*q - b + 52, 3*q + 10 = -5*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39839.\nAnswer: 39839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/5, 1, -1, -2, -43, -1\/3 in ascending order.\nAnswer: -43, -2, -1, -1\/3, -1\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 + -70)\/(-1 + 4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f**3 - 2*f - 2. What is v(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30185\/196 + 154. Are -4\/5 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(96))\/((sqrt(3) - (sqrt(75) + -2*sqrt(75))) + sqrt(3)))**2 + -2)*-3*-6.\nAnswer: 540\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-24) - (-57)\/(-36).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**4 + 0*b**4 + b**4)*(0*b - 4*b - 5 + 5*b) + 2*b**2 - b**5 - 2*b**2.\nAnswer: -3*b**5 + 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:07 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 12*h + 40.\nAnswer: -4*(h - 2)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -455 + 479 - (20 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14552 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 o when three letters picked without replacement from {w: 1, z: 1, a: 2, o: 1, j: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 920360*t + 1840721. Calculate y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)*k*k**5)**(5\/2)\/((k**1)**15\/(k*k*k**(-1)*k*k)**(2\/101)) assuming k is positive.\nAnswer: k**(-89\/202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 - 4*i + 8. Let z(d) = 859*d**2 - 863*d**2 + 5*d - 3 - 6. Calculate -5*m(h) - 4*z(h).\nAnswer: h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 693543360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1602353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6*a + 5. Let v(h) = -h**3 + 1. Let u be v(a). Which is smaller: u or -8\/15?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w + 242. Give v(-35).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -283 - -286 - (14 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from {u: 14, s: 1, t: 2}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 191424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a second in milliseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.47 + 1.53. Which is the closest to 1? (a) m (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.3 - 0.7. Let k = 45 + -49.8. Let h = b - k. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2. Let y(g) be the third derivative of 2*g**5\/15 - g**3\/2 - 85*g**2 - 2. What is y(h(k))?\nAnswer: 72*k**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4713, -9425, -14137, -18849, -23561?\nAnswer: -28273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*s - 1 - 57*s + 8*s)*(-s + 0 + 0).\nAnswer: 23*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 711527*-5.\nAnswer: -3557635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3518, -3517, -3516?\nAnswer: -3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f**2 - f - 54. Let a(m) = -4*m**2 + 1. What is -3*a(c) - n(c)?\nAnswer: 2*c**2 + c + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -64\/5 - 36\/5*d - 2\/5*d**2 = 0. Calculate d.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = -2*l - 5, 2*f = -2*l - 10. Suppose k - 2*k + 2 = f. Let g = -1.5 - -0.6. Which is the second smallest value? (a) g (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.49 less than -2?\nAnswer: -28.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64050 and 2403870?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 36 + 513*s**2.\nAnswer: 513*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(4*n - 3*n - 4*n) + (-n - 2 + 2)*(-2 + 6 - 3) + 4 - 2*n - 4.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/5, -37\/7, 81\/7, -10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(13) + (sqrt(13) + sqrt(13) + -1*sqrt(13))**2*6.\nAnswer: sqrt(13) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65999?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -16*k + 229. Calculate w(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 286 = 24*d. What is the smallest common multiple of d and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 0 - 1\/3*x**3 - x + 0*x**2. Let d(y) = 2*y. What is d(k(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 216 - 54 - 182*x + 159*x - 71 - 61.\nAnswer: -23*x - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000096884 to 7 decimal places.\nAnswer: 0.0000969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 2*m**2)*(-5*m**2 + 2*m**2 + m**2) + (-m**2 - m**2 + 3*m**2)*(-70*m**2 + 45*m**2 - 92*m**2).\nAnswer: -113*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -728 divided by -182.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 6*w - 78. Is w + (-3)\/(-3) + 1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 + 283\/2. Is z > -1\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 22*n**2 + 42*n + 67. Determine g(-20).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210022222122 + -1?\nAnswer: -210022222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0 + 9. Suppose 8 = -3*s + p*a + 2*a, -20 = -5*a. Calculate the greatest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6144 = -16779*a + 16715*a for a.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - -1. Suppose 7 + 4 = 4*h + v, 4*h + 3*v = 17. Which is the second biggest value? (a) h (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2 + sqrt(1053) + sqrt(13))*-1.\nAnswer: -11*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 21. Let y be (p\/(-3))\/((-2)\/(-18)). Calculate the greatest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plcnpnp. Give prob of sequence pl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*d - 30 = 2*v, -2*v - 25 = 5*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 2. Let t be p(-6). Suppose -y - y = -t. Solve j + 6 = v + v, y*v + j - 22 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-2 + (-1 + -11 - (3 - 4)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 854245260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 7 + 23. Suppose 4*b - 3*a - 103 = 0, 3*b = -2*b + f*a + 129. What is the remainder when b is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 19 = -5*o. Let u be o\/2*4\/(-70). Let s = 908\/3913 - -30\/559. Which is the third smallest value? (a) 2\/11 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -5. Suppose 0 = -5*f - t + 33. Suppose f*v + 0*v + 4 = 0. Is v < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*7 - (-457 - -441). Let k(s) = -s**3 - 2*s**2. Let z be k(-1). Sort 57, 2, z, n in ascending order.\nAnswer: n, z, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/10)\/(12\/(-360)*-6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 - 5131*k + 93644. Give p(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6)*(2 - 25\/(-1)). Solve 4*m = k + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66.2 * 2.3\nAnswer: 152.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59, 115, 195, 305, 451?\n\"Answer: v**3 + 6*v**2 + 31*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/64977585 and 23\/3.\nAnswer: 64977585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {r: 2, b: 1, z: 2, q: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 280754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 73 + 6*a - 30*a**2 + 220 - 77 + 0*a.\nAnswer: -30*a**2 + 6*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 595431 or -3?\nAnswer: 595431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8664 - 8629.38. What is j rounded to one dp?\nAnswer: 34.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -486 - -635. Let u(v) = d + 19*v - 270 + 121. Let r(f) = -f. Give u(r(g)).\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -558, -842, -1126, -1410?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -18. Let l(u) = -p*u + 5*u**2 - 2*u - 13 + 8*u + u**3. Let h be l(-6). Solve -5*z - 3*j + 7 = 0, -3*z + h*z - 6 = -2*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1670.02 + -1771. Let a = 101 + x. Let i = a + 0.48. What is the third smallest value in i, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 132.22103.\nAnswer: 132.22103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/3 - 4*q**3\/3 + 2*q**2 + 13*q. Solve y(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -89. Let h = 17 - y. Suppose 5*a - 87 = -c - 4, 4*a = 2*c + 72. What is the remainder when h is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.006 + -49.506. Let a = g - -62. Let b = a + -13. What is the closest to -2\/5 in 5, -5\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 560, 838, 1118, 1400, 1684, 1970?\nAnswer: 2258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077642373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -1\/210*j**6 + 19\/42*j**4 + 0*j - 67*j**2 + 0 - 2\/105*j**5 + 40\/21*j**3. Solve w(d) = 0.\nAnswer: -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117 - 147. What is the common denominator of (2 + 11\/(-4))*(-12 + v) and -9\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8)*12\/(144\/(-30)). Let f = -0.15 - 1.55. Let l = f + 2.1. Put -1\/5, l, x in decreasing order.\nAnswer: l, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1475\/4 - -369. Sort 2\/3, 1, 3, 2\/7, q in increasing order.\nAnswer: q, 2\/7, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5591.187 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, n: 2}. Give prob of picking 3 v.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x + 28*x + 6*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 425158 at least 2976098\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4302775 and 4737.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + (2*sqrt(19) + 0 - (sqrt(57)\/sqrt(3) + 1)))*-2)**2.\nAnswer: -24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-20)\/576))\/(666\/1665)*(-8)\/(-9)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2 = g + 16, f - g = -11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 692668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 634600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -11.6 (c) 590.4 (d) -2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from mfmadffmffdfdf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2. Let p(s) = 669*s. What is p(f(b))?\nAnswer: 2007*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 63 + 9 = 0. Suppose 4 = -f*r + 58*r. Suppose -3*n - n = 3*v + 5, -2*v + 3*n = -25. Solve -4*w = r - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5909927 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.5169 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 4*z**2 + 4*z - 3. Let i be k(3). Suppose -2*q - 3*o + 25 = i, -2*o - 20 = -2*q - 0. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67249.1 and -0.9?\nAnswer: -60524.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*4\/(-6)*(-183)\/732.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 79*x - 38. What is the thousands digit of d(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 - 279*z - 1566 = 0.\nAnswer: -87, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 342 - 441 + 93 + 21*i. Let v(b) = 7*b - 2. What is 3*o(q) - 8*v(q)?\nAnswer: 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/42*1\/(-1)*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -103554 (base 6) to base 5\nAnswer: -234023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868332 is divided by 434152?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1580 = 4*q - q + 4*r, 0 = 3*r + 12. Suppose -8*i = -q - 44. Is i a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 21. Suppose r = 7*x + 233 - 807. Suppose 3*q - x = j + 1045, 0 = -3*q + 2*j + 1123. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4\/7 - 66*p**3\/7 - 414*p**2\/7 + 1250*p\/7 + 228 = 0?\nAnswer: -7, -1, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74828521 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 7:12 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -217*g - 412. Determine z(-4).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 45 = -39*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a factor of 2647083105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -31*n**6\/6 + 106*n**3\/3 + 5385*n**2 - 6022. Find the second derivative of p(f) wrt f.\nAnswer: -620*f**3 + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from {f: 2, s: 1, y: 1, m: 1, i: 1, g: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 150\/(-8) - (-21)\/28. Let b be (-45)\/w*(-8)\/(-5). Suppose -b*c = -0*c - 8. Solve c*j + 11 = -5*n + 5*j, 2*j - 2 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*v**2\/13 - 60*v + 32\/13.\nAnswer: -2*(v + 8)*(49*v - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 255*o**2 - 4*o - 1. Let p be -3 - 21\/(-9) - 2\/6. What is the units digit of m(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 99\/2 + 12\/8. Let n = -26 + q. Let s(g) = g**3 + 3*g - 1. Calculate the remainder when n is divided by s(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + -3 + 5 + (-1*sqrt(114)*1 + sqrt(114) + sqrt(114))\/sqrt(6).\nAnswer: 2 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2093047*s - 1046461*s + 2 - 1046585*s - 2.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524*x + 524*x - 6*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bc (base 14) to base 8.\nAnswer: -1362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -2, -45, 2.\nAnswer: -45, -2, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 321*j**4 + 2093*j**2?\nAnswer: 7704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/12, -0.1, 3\/4.\nAnswer: -2, -0.1, -1\/12, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.973959g in micrograms?\nAnswer: 8973959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 744263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + 73?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-21 - (-33 + 21))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1080400 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010 greater than or equal to 3008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:45 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 842.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-8))\/1)\/((-78)\/208)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21460 divided by 16.\nAnswer: 5365\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/17))\/q**6)\/(((q\/q**(-2))\/q)\/(q**(-3\/2)\/q)) assuming q is positive.\nAnswer: q**(-325\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.389 to zero dps.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112220160 greater than or equal to 112220158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5017\/7 - -717. Let r be 50\/75 + (0 - 1). What is the biggest value in -7\/2, r, -1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 7, q: 6}. What is prob of sequence xz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/4 - 108131*s**2\/4 - 730756056*s + 730783089 = 0. What is s?\nAnswer: -54066, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 0*n + 0*n + (2 - 3 + 3)*(-3*n + 4*n - 2*n))*(0 + 1 + 1)*((4 + 0 - 2)*(2 - 5 + 1) + 16 + 3 + 7) in the form t + z*n and give z.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 5*b**2 + 5*b + 3. Give f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:17 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = -4*o - 2, o = -3. Suppose -u + 2 = -7. Calculate the remainder when u is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1190743, 2381486, 3572229, 4762972, 5953715?\nAnswer: 7144458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 645370 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.3 - 24.5. Let n = -21.200000348 - f. Round n to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/sqrt(10)*-6)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -35. Suppose 2*a + 6 = i. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10233 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24\/11590231?\nAnswer: -24\/11590231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - ((-3 - (10 - 18)) + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*s - 0. Let b be ((-1 - -2) + s)*-1. Suppose b*p + 255 = 3*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -47. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/42)\/((-2)\/12). Let t be 0 + 6\/(-3 + 0). Suppose 0 = -w - 5*q - 3 - 3, 0 = 4*w + 3*q + 7. Which is the nearest to t? (a) w (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + o - 1 + o**4 - 8*o**2 + 10*o**2 to the form g*o**4 + x*o**3 + j*o + c*o**2 + n and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 294*x**2. Let u(l) be the first derivative of -3*l**2\/2 + 1778. Determine u(v(o)).\nAnswer: -882*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:02 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**3\/2 - 3*p. Let h(d) = -21*d**2 + 126*d - 18. Let n(a) = -a**2 + 7*a - 1. Let w(x) = h(x) - 18*n(x). What is w(c(b))?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2772217, 2772224, 2772235, 2772250?\nAnswer: 2772269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 3240?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 11:46 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - 19*v**2 + 30*v - 5. What is the remainder when k(-11) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -14*u + 131. What is m(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/40 - 87\/(-5). Let d be ((-24)\/q)\/(1\/(-3)). Suppose d*y = 3*y + 14. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -79\/6*j + 23\/3*j**2 + 7\/3 - 5\/6*j**3 = 0. Calculate j.\nAnswer: 1\/5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3078 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**5 - 565*t**4\/2 + 62705*t**3\/3 + 64410*t**2 + 64980*t - 279. Factor h(v).\nAnswer: 5*(v - 114)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*q - 4171 = 0, -5*u + 2*q = q - 6963. Suppose 8*p - u = p. List the prime factors of p.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -82*f - 980. What is the smallest common multiple of 158 and r(-12)?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7752 smaller than 54272\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022124?\nAnswer: 2, 3, 19, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.37 + 894.\nAnswer: 914.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 2*f + 10. Let m be i(-2). Suppose 5*n + 130 = -o, -4*o + 2*o = -m*n - 52. Is -26 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 36*o + 3. Let f be d(1). Is (-1264)\/(-6) - (-13)\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:57 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j**2. Let x(f) = -55*f. Let l(s) = -14*s - 15*s + 40*s - 16*s. Let a(o) = -45*l(o) + 4*x(o). Give i(a(k)).\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*w - 2, -4*o + 2 - 6 = -2*w. Let y be (-6)\/w + (-3)\/(-2). Suppose -3*r - 2*q = r - 212, -5*r + 267 = y*q. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6976*l**2 - 62 - 100*l + 101*l + 64 to the form w + c*l + i*l**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 3*o + 10. Suppose -2*v = 2*b + 54, -o = 2*b + v + 13. Let n = b + 51. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 0. Let l be (1 - -2)*w\/(-28). Which is greater: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkkkdkdk. Give prob of sequence dkd.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*y + 140 - 188. Let t be ((-3)\/(-6))\/((-64)\/(-6)). Let v = 207\/320 - t. Which is the smallest value? (a) v (b) y (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192000 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*k + 2*p + 2*p, 4*p + 16 = 0. Suppose 84 = 2*l + k*l. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5045, -9564, -14083, -18608, -23145?\nAnswer: -27700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1. Suppose -177 + 159 = -9*q. Let b(j) = -2*j + 1. Determine q*x(i) + b(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 9:50 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 84, 176, 270, 366, 464?\n\"Answer: a**2 + 89*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-26 - (10 - 28)) + (-9 - -76)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -347209.7 rounded to the nearest one thousand?\nAnswer: -347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 41 (b) 0.2 (c) -0.5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 846072238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 562577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.068, 11, 1\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48568302?\nAnswer: 2, 3, 899413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a microgram in nanograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 288402 - 288402.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by 276454?\nAnswer: 95\/276454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 + 8356*l**4 - 33436*l**3 + 33440*l**2 = 0. What is l?\nAnswer: -8360, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k + 28 = 0. Let f be (18\/21)\/((-1)\/k). Let i be f\/(-10) - 6\/35. Which is the closest to 0.1? (a) i (b) -2\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = 2*o - 5*n, 0 = -o + 5*n - 35. Let z = 13 + o. What is the first derivative of -3*j**3 - 5 + 0*j**3 + j**z wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 - 156 + 17*s.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 43 - 5 - (-22 + 31).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -12 + b - 6*b + b**2 + 8*b**2 - 3*b - b**3 + 16. Let f = -5 + 13. Calculate i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 8 - 8)*(-63 - 62 + 122).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 4, -0.4, 3 in ascending order.\nAnswer: -0.4, 3, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 89.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/4)\/(-18 - (-148)\/8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + (-1694)\/25850*-47\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2975662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1035 + -450. Let k = j - 584.999999346. What is k rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**4. Let p be (2 - 3)*-3 - 6. Let m(x) = 12*x**5 - 3*x**4 + 2*x**2 - 27*x. Let j(n) = p*i(n) + m(n). What is the third derivative of j(o) wrt o?\nAnswer: 720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11280, -22469, -33658, -44847, -56036, -67225?\n\"Answer: -11189*v - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(56\/(-6)))\/(3\/24). Solve -2*w - t = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + t**2 + 5 + (2*t - t - 3*t)*(8*t - 10*t - 8*t) + (-22*t + 31*t + 9*t)*(10 - 10 + 13*t).\nAnswer: 255*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (-138)\/15 + 10 - 5238\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 72\/5*u**5 + 43*u - u**3 + 0*u**2 - 170 + 0*u**4. What is the third derivative of j(g) wrt g?\nAnswer: 1728*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.125 - 0.025. Let s = i - 2.87. Round s to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6937 is divided by 6897?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdq when three letters picked without replacement from {d: 3, q: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) -13 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1901 + -1902. Let v(q) = q**2 - 1. Let f(n) = -15*n**2 + 3. Determine c*f(o) - 3*v(o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:42 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*p. Suppose 3*i - 7 + p = 0. What is the derivative of 73*g**i + 3*g**3 - 1 - 73*g**2 wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 319\/4 (b) -3\/31 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 0 + 4*p - p - 3. Let m be 0 + 3 + -3 + 2. Suppose 0 = -5*u - m*t + 11, -3*t = -4*t - 2. Calculate i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 0*x**2 - 35 + 67 + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 4*n**2. Let i be (-5)\/5 - (-3 - (-204 - 4)). Let x = i - -209. Give w(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 3*k + 2. Let a be u(-4). Let p(o) = 2*o - 2. Let t be p(a). Suppose 40 = 16*m - 12*m. What is the greatest common divisor of m and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5024735562315.12 and -1.\nAnswer: -5024735562316.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2733820 to the nearest ten thousand.\nAnswer: 2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*t - 5, 6 = -t + 7. Suppose -28*n + 29*n - 863 = x. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n**2 + 9*n + 277. Let b(k) = 7*k**2 + 5*k + 139. Give -7*b(h) + 4*c(h).\nAnswer: -h**2 + h + 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlyyylllyyyzyf. What is prob of sequence yf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + w)*(-3 + 0 + 5) + 1711*w - 157 + 157.\nAnswer: 1715*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67186 + 34.8902.\nAnswer: 67220.8902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*b + 170*b + 3*x + 24 = 0, -28 = -4*b - 4*x for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u. Let y(k) = -2877*k + 2. Determine s(y(z)).\nAnswer: 5754*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let u = 14.1 - 11. Let b = u - 3.6. Is l greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:29 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 91310 and -45.6.\nAnswer: -4163736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/80 and -79\/72728600?\nAnswer: 145457200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240025 * 3.\nAnswer: -720075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - g = 4*g - 53, -3*g + 1 = -i. Suppose -49 - 8 = -3*r. Let t = -9 + r. What is the smallest common multiple of i and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*i + 6 = 0. What is the nearest to i in 2, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*g + g. Suppose -g*x = 2*x - 20. Suppose 0 = -7*r + x*r + 21. Calculate the remainder when 20 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*a + 563 + 7536 - 947. Solve -a = 14*z - 177 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8467.\nAnswer: 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 50. Let j be z(0). Let d be 2090\/j - (-2)\/10. Let w be 6*7\/(d\/8). What is the highest common factor of 80 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 8:59 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478340888?\nAnswer: 2, 347, 172313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(147)*-5) + 1.\nAnswer: 1 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018583 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 654, 5376, 18200, 43176, 84354?\n\"Answer: 675*z**3 + z**2 - 6*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s - 8*s + 4*s**3 - 2*s**2 - 7*s**3 - 8 in the form z + h*s**3 + r*s**2 + c*s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 5. Let o = 511 - 508. Suppose v + p - 14 = -10, o*v - 5*p = 36. Let z(s) = 5*s + 9. What is v*b(u) + 3*z(u)?\nAnswer: u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19621845421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 + 2*x**2 + 2460*x - 2464*x + 5*x**4 - x**4 - 2*x**3 to the form j*x**2 + z*x**4 + p*x + b*x**3 + n and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.253528 to three decimal places.\nAnswer: -0.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1253, 18, 124 in decreasing order.\nAnswer: 1253, 124, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -150 (b) -1\/5 (c) -0.057\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 m, and 1 v when four letters picked without replacement from mcvgvvfgmvg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/60 - u**4\/6 - 10*u**2. Let b be q(-2). Solve -5*a = 24 - b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -15 - -18) + -3 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 59\/3 + (-7)\/(-21). Suppose 0 = -21*k - 112*k + 18620. Calculate the highest common factor of k and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - z = -x - 646, 5*z + 10 = 0. Let w be 72\/x*3*-3. Solve w*u + 3*v + 14 = 0, u + v - 2 = 3*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.79.\nAnswer: -3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 901355795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 5, -1, 9, 264 in increasing order.\nAnswer: -4, -1, 5, 8, 9, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 12:34 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -11 - -6 - (-25 - -34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 12:50 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58753125, 58753124, 58753123, 58753122?\nAnswer: 58753121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*x + 7*x - 24 = 0, 22 = 2*k + 5*x. Let s be 20\/(-330)*(-3)\/(-1). Let v be (4\/(-10) - -1) + -1. What is the third biggest value in v, s, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/27*(-750)\/(-4). Calculate the highest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4210 - 177?\nAnswer: -4407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/30 and -133\/372?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513b49 (base 12) to base 7.\nAnswer: 13544433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42439000 rounded to the nearest 100000?\nAnswer: 42400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1670 and 18704?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - (sqrt(187)*1*-4 + sqrt(187))))*-6)\/(sqrt(110)\/(1*sqrt(360))).\nAnswer: -180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -16*b. Let o(k) = -5*k. What is a(o(l))?\nAnswer: 80*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 295.92?\nAnswer: -295.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g. Let n(u) = -u - 2. Let h be n(-1). What is the units digit of w(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-14)*(-4)\/(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*a = -1342, 4*i - a + 370 = 3054. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/63)\/l**(-2\/11)*(l\/l**(-1\/9))**(-1\/78) assuming l is positive.\nAnswer: l**(3671\/27027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57552484 to the power of 1\/2, to the nearest integer?\nAnswer: 7586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 10 + 3*b)*(5 + 0 - 3) + b - b + 2*b.\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134)\/((-36448)\/(-40))*5\/(125\/(-4)).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4012446 and 24.\nAnswer: 16049784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57.2 + -56.7. Which is the smallest value? (a) 0.6 (b) -11\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(2200 - 2200 - 270*x + (2 + 1 - 1)*(-2 + 2 + 2*x)*(-1 + 4 - 4)).\nAnswer: 548*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**4\/24 + z**3 + 2*z**2 - 1492. Suppose 12 = -3*i - i. Determine x(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2508, 1895, 236, -2991, -8308?\nAnswer: -16237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**4\/7 - 96*r**3\/7 - 328*r**2\/7 + 96*r\/7 + 324\/7 = 0.\nAnswer: -3, -1, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/11))**(14\/5)*(m\/((m*m**(-2\/9))\/m))\/(m\/(m*m\/(m**(-2\/19)*m))) assuming m is positive.\nAnswer: m**(34031\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -23*p + 5*p. Let l(o) = 3*o - 6. Let c be l(p). Suppose c = -12*f + 134977219 + 216622781. What is f rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmxmdxyg. Give prob of picking 1 q and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1210 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2219 from 0.\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Let x be (w - 1*-2)*7. Suppose 0 = -4*j - x + 271. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -364*j + 643. Is c(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-3))\/((-26)\/(-39)))\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043663.\nAnswer: 1043663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)*z)**(4\/31))**(-1\/3) assuming z is positive.\nAnswer: z**(-2\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953.105 months in decades?\nAnswer: 16.275875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anaznlmanaananaalm. What is prob of sequence aaa?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -398 and -52?\nAnswer: 20696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 2*d**2 - 6*d - 5. Let i = 26 - 30. What is n(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2176 or 2503?\nAnswer: 2503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -55210235 (base 6) to base 9\nAnswer: -3084215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 3*w + 15, -w - 3 + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1490 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 79594927 divided by -79594927?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793819240.\nAnswer: 2, 5, 19, 23, 45413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 9.87. Let k = 0.13003 - o. Round k to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 27 + -11 + (-6)\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 63, 178, 351, 588?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -78, 1 in increasing order.\nAnswer: -78, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (8*17)\/((((-21449)\/(-534))\/(-241))\/((-2)\/(-24)))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 39 = -3*a + 33, -2*x = -5*a - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 + 10000100101010110010?\nAnswer: 10000100101011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.487 rounded to 2 decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*d**2*p*r**3 - 96*d**2*r**3 - 2*d**2*r**2 - p**2 + 2*r**2 wrt p.\nAnswer: 9*d**2*r**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1 = 3*i + 9, -5*k + 3*i = -22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53396?\nAnswer: 2, 7, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 63*u - 59*u = 1, 0 = -4*f - 2*u + 6. Which is the nearest to f? (a) -1\/5 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0, 10 in decreasing order.\nAnswer: 10, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, h: 1, t: 9, i: 1}. What is prob of sequence thtu?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165955.\nAnswer: 5, 33191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/4, 1\/5, -0.011575?\nAnswer: -0.011575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jafbcfjfbbjcbf. What is prob of picking 2 a, 1 c, and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (52 - 12*l - 52)*(-38*l - 18*l + 15*l)*(-1 - l + 1) as w*l + g*l**3 + n + s*l**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62ca0 (base 14) to base 12.\nAnswer: -b6010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - o**2 - 10*o - 10. Let f(g) = -g**3 + 5*g + 5. Let z(r) = 5*f(r) + 2*n(r). Suppose 0 = 5*q - 3*q + 10. Is z(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 610b (base 14) to base 12\nAnswer: 9793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -141\/4. Which is the nearest to -4? (a) 2\/5 (b) -1\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4547*u**3 - 2966*u. Let n(b) = 9076*b**3 - 5932*b. Let d(q) = 6*n(q) - 11*r(q). Find the second derivative of d(j) wrt j.\nAnswer: 26634*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 2 + 12*q - 2*q**3 + 3*q**2 - 3*q**2 + 0*q**2 to the form r*q**2 + p + k*q + d*q**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 26*k - 22. Let m be u(1). Solve t - 13 - 6 = 4*f, 29 = -5*f - m*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*a - 12 - 60*a + 80*a)*(a + 2*a - 5*a)*(-3 + 0 + 2).\nAnswer: -12*a**2 - 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*g**2 - 200*g**2 - 192*g**2 as x + i*g + k*g**2 and give k.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (438\/72 + -11)*(-63 - -51).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 1. Let r(n) = 21*n**2 - 2*n. What is k(c) + r(c)?\nAnswer: 21*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026906439 to 5 dps.\nAnswer: 0.00269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1619\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29670068, 59340135, 89010202, 118680269?\nAnswer: 148350336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 + 23\/6*l + 5\/6*l**3 + 7\/2*l**2 - 1\/6*l**4.\nAnswer: -(l - 8)*(l + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(684) + sqrt(684) + 0)**2.\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1553 + -2e?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 15 = -4*x. Suppose x*t = 2*t. Let r be 8 + -1 - (323\/51 + -2 + 2). Which is the second biggest value? (a) r (b) -2\/11 (c) t (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 68*h - 294. Let u be c(-30). Suppose 0*r - r = -68. Let b = r + u. Calculate the smallest common multiple of b and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l + l)*(-4*l**2 + 3*l**2 + 0*l**2) + (5 - 4*l**2 - 5)*(-5 + 1 + 3)*(-5 + 5 + 4*l) as n*l**3 + f*l**2 + b + o*l and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/15))\/(x**(-3\/4)\/x*x))\/(x\/(x\/(x**0\/x)))**(-3)*((x\/x**6*x*x)\/x**3)\/(x**(2\/3))**20 assuming x is positive.\nAnswer: x**(-409\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274225 + 274224 + 34703*d - 548449)*(-1 + 1 + 2*d**2).\nAnswer: 69406*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0)\/((-35)\/(-5)). Let r = -75 + 1. Let i = r - -73. Sort d, i, -3, 2\/9 in descending order.\nAnswer: 2\/9, d, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g - 75*g - 2 = -2*q, -5*q - 2*g - 13 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145 - 58. Suppose 4*t = -2*l + 58, -3*l + 0*t - t + 77 = 0. Calculate the remainder when l is divided by (-2)\/3 - z\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -18, -1\/5, 0.01, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (917 - 879) + (-84 - (2 - -2))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0746105+7.6236188\nAnswer: 7.6982293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-2\/5)))\/(f\/f**(3\/2)))\/((f\/(f\/f**0))\/f)**(-8\/15)*(f*f**(2\/5))**(-35)*(f*(f\/(f\/(f\/(f\/(f*f*f**0)))))\/f)\/(f*f**(2\/5)) assuming f is positive.\nAnswer: f**(-293\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - (-2 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 1.5, 0.05, 0.3, 1\/18 in decreasing order.\nAnswer: 4, 1.5, 1, 0.3, 1\/18, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 7. Let l be s(0). Suppose 3*o - o = 10. Let z(a) = 6*a + 5. Let n be z(o). Calculate the greatest common factor of l and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-7))\/(b**(-2)\/b))**8\/((b*b**(-7)*b\/(b**(2\/7)*b)*b)\/(b**(-3)*b**3*b)) assuming b is positive.\nAnswer: b**(660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 4:21 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 200?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(sqrt(325) - -5*sqrt(325))**2 - (sqrt(13) - (sqrt(13) - (sqrt(208) + sqrt(208)*-2)))*4).\nAnswer: 16*sqrt(13) + 70199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 1. Let t be 6 + -1*(-3)\/l. Suppose -t*v = 3*g - 35, g + v + 1 = 2*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.843 - 0.043. Let c = 264.207 + -252.40757. Let s = z - c. Round s to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 + 2*n**3 - 9 - 7*n**3 - 11*n + 12*n**2. Let x be f(11). Is 1*307 + 0\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 16. Let b(y) = 4*y**3 + 3*y**2 + 3*y + 3. Let u(j) = -5*j**3 - 4*j**2 - 4*j - 4. Determine k*u(w) + 4*b(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, x: 7, n: 3}. Give prob of picking 1 n and 1 x.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o - 4*s + 8, -2 = -3*o - s. Suppose 4*w - 10 = 2, o = 5*d + 5*w - 45. Calculate the remainder when 16 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007681 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2999*u + 3010*u. Factor 8\/5*q**2 - 2\/5*q**u + 0 - 8\/5*q.\nAnswer: -2*q*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b - 2 - 3*b**2 - 2 + b**2 + b**2. What is the remainder when 108\/198 + 93\/11 + 3 is divided by y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21, 37, 53, 69, 85, 101?\n\"Answer: 16*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 10. Let y be -26*(-2 - -3)\/(-2). Suppose b = -4*z - y, 0*z - 3*b - 9 = -3*z. Sort -1, p, z.\nAnswer: z, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 22 = 2*v + q, -10 = 3*v - 5*q. Solve v = -66*p + 67*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27247717 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x. Let y be 1*(-1 + x - -11). Calculate the remainder when 22 is divided by ((-18)\/15)\/((-1)\/y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 1:02 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127155059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7130 divided by -22?\nAnswer: -3565\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -7)\/(-2 + (-1137)\/(-567)). Suppose -8*i + y = 19*i. Solve -5*a - 12 = -i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1349, 1241, 965, 443, -403, -1651, -3379, -5665?\nAnswer: -8587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - 0.45. Let r = -19 - -21.1. Let x = r + -2. What is the biggest value in x, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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 comes next: 38080223, 38080225, 38080229, 38080235, 38080243, 38080253?\nAnswer: 38080265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by -173231.\nAnswer: -170\/173231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 25*m + 2. Give s(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5904 + 5906.6. Which is the second smallest value? (a) z (b) -0.5 (c) -11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -44*a - 7. Let l be s(-1). Let d = l + -25. Suppose 13*v = d*v + 119. List the prime factors of v.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 52\/9, 0.4, -1\/8, -0.21?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18))\/((-2948)\/(-198))*12\/(-18)*-6?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 426545 + 4.3\nAnswer: 426549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/7*u**4 + 290\/7*u - 30*u**3 + 52\/7 + 334\/7*u**2 = 0. What is u?\nAnswer: -13, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11752 is divided by 2335.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42043139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5523294 divided by -3.\nAnswer: 1841098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1, -363 in decreasing order.\nAnswer: 5, 2, -1, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 3*u + 0*u)*(2 - 2 - 8*u)*(-5081 + 5081 + 22*u) as i + y*u + n*u**2 + w*u**3 and give w.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*k + l + 12, 3*k + 2*l - 6 = 0. Let a be k\/(-12) - (-7)\/6. Is 10 a factor of (-5 - -8)\/(a\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*p**4 + 5*p**4 + 5*p**4 + (-p + 0*p + 2*p + 3)*(2*p**3 - 6*p**3 + p**3) - 5*p**3 + 5*p**3 - 5*p**4.\nAnswer: 11*p**4 - 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -239, -3, 5, 0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, a: 4, p: 1}. Give prob of picking 2 a, 1 p, and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 684 = -16*o. Suppose -5*s = -o*s + 4420. What is the greatest common factor of 40 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 5*h**2 + 6*h + 2. Let t be u(-3). Let b(a) = 23*a**3 - 5*a**2 - 2. What is the units digit of b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 3 + 3 + (-2 + 1 - 2)*(2 - 2 - b) in the form g*b + k and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27 * -0.27\nAnswer: -7.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**3 + 2*x**2 - 2*x - 2. Give t(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/9*12\/8. Factor -5*q**4 - 7*q**2 - 18*q**3 - 4*q - 5*q**4 - 7*q**2 - 2*q**n.\nAnswer: -2*q*(q + 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 1\/4 (c) 1\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2*v - 2*v + (-3*v + v + 3*v)*(2 - 1 + 0) - 3*v + v + 0*v + (2 + 1 - 5)*(-3 + 14*v + 4 - 16*v).\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -2*u**5\/15 + 21*u**2 + u. Let h(r) = r. Determine j(h(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21 + 12)*147\/(-9). What is the highest common divisor of k and 1743?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3, 5, 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 9*d**3 - 5*d**3 + 3*d**3.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14791, 14778, 14765?\nAnswer: 14752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -14. Find the third derivative of 95*y**3 - 189*y**3 - 53*y**2 + 96*y**3 - i*y**5 wrt y.\nAnswer: -3180*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13387904.\nAnswer: 2, 104593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**7\/2520 - q**6\/90 + q**5\/20 + q**4\/4 - 3*q. Let k(f) be the third derivative of v(f). Give k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -133, 19, 187, 377, 595, 847, 1139, 1477?\n\"Answer: d**3 + 2*d**2 + 139*d - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7395*b**3 + 2 - 85568*b**3.\nAnswer: -78173*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 f when three letters picked without replacement from ffhhhhfhhh?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(600) + sqrt(288)\/sqrt(48))\/(-6*5*sqrt(392)*1))**2.\nAnswer: 361\/58800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 666278 divided by -123?\nAnswer: -666278\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -52*x**3 - 11*x**2 - 12*x - 592. Let q(k) = 103*k**3 + 22*k**2 + 22*k + 1184. Let m(j) = 11*a(j) + 6*q(j). Find the first derivative of m(h) wrt h.\nAnswer: 138*h**2 + 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + j + 5. Let c be l(0). Suppose 0 = 2*q - 2*a, 0*a + 12 = c*q - 2*a. Solve 9 + 4 = -f - 4*x, 0 = 4*f + 2*x - q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 16 = 5*v, -3*r - 17 = -2*v - 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.0424, 2\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/102862320 and 51\/10.\nAnswer: 102862320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j = -59*j - 47978. Let t = j + 9781. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1\/240*w**5 + 1\/672*w**8 + 0*w**3 + 1\/840*w**7 - 1\/160*w**6 - 15*w**2 + 0 + 1\/96*w**4 + 0*w. Let f(i) = 0. Calculate i.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 137\/4 in 2, -3, 0.172, 0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**3\/6 - 41*m. Let v(a) = 18*a**2. What is v(s(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 58976?\nAnswer: 294880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32720654*j**4 - 34563575*j wrt j?\nAnswer: -392647848*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:34 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 50048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -1.947.\nAnswer: -0.01947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5. Put 1, -6, s in descending order.\nAnswer: 1, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001929968 rounded to six decimal places?\nAnswer: -0.000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71827 and 7?\nAnswer: 71827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1243105015 (base 6) to base 11\nAnswer: -8334513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Let i = -19.85 + -0.15. Let p = 20.2 + i. Which is the second smallest value? (a) y (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185124, 370397, 555670?\nAnswer: 740943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 20772.\nAnswer: 103860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263091039*a**3*i**2 + 3496709*a**2*i**2 - 5*a**2*i + 2*i**2 - 4 wrt a?\nAnswer: -1578546234*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -5. Let s = -218 - -214. Which is greater: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*p - p + 884 = 0, 2*p = -n + 443. Let x = n - 184. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + 44. Let v = j + 48. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 107 + 69 = 0. Suppose 5*p = -3 - 2. Is 11 a factor of u*6\/4*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/((-9)\/8))\/(4\/(-6)). Suppose -p - r*p = -120. Solve 2*j + p = -2*j - 2*t, 5*t = -4*j - 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -464 + 2799. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148428 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6945, 6944, 6943, 6942?\n\"Answer: -f + 6946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvzv when four letters picked without replacement from wwwzxvvvxxvwxxwe.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-3)\/(6\/(-812)). Suppose 3*a - 2*y = x, 4*y + 211 = 3*a - 205. What is the greatest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from vuuyguyygygccy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*s - 7 + 3, 2*o = -s + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -18034, 4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - 6*sqrt(209)*2 - ((sqrt(209) - (2*sqrt(209) + sqrt(209) + sqrt(209))) + sqrt(209))*2)*-6)\/(6*sqrt(396)*1 - (2*sqrt(396) - sqrt(396))*4).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126467 + -64337. Round z to the nearest one thousand.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10871883 and 693?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 328356.416 to the nearest 10.\nAnswer: 328360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-6)\/(-56))\/((-18)\/360).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 15 = 3*v. Suppose -13993 = v*p + 11007. What is p rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 192*y - 3026. Give b(-18).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 298999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8045, 16088, 24131, 32174, 40217, 48260?\nAnswer: 56303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/122, -0.5, -596, 0.3 in ascending order.\nAnswer: -596, -0.5, -15\/122, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 6*a - 4. Let m be s(-3). Suppose 6*o - m*o - 70 = 0. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -0.0648?\nAnswer: -0.000648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/15)\/h**4*(h**8\/h)\/(h**(-1)\/h) assuming h is positive.\nAnswer: h**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -4*j - 6. Suppose -j*g - 6*g + 972 = 0. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*p + 833 - 833.\nAnswer: -67*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1839 and -0.3.\nAnswer: -551.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 135\/21*(-105)\/(-45)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 - 14\/8. Suppose 2*b = -g + 4 + 3, -b - 4*g = 0. Let v be (0*(-2)\/b)\/(-2). Is v greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 8. Calculate w(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/(36\/63).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 1\/84*r**4 + 0*r - 1\/420*r**6 - 7*r**2 + 0 + 0*r**3 + 0*r**5. Solve w(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((357\/952)\/(-1*(-6)\/4))\/(3525\/(-100))\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 71*s**5\/20 - s**4\/12 + 1325*s**3\/6 + 4*s**2 - 21*s. What is the derivative of h(k) wrt k?\nAnswer: 426*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1827)\/70*(-84)\/9. Let p = j + -242. Suppose 0*w - p + 2\/5*w**2 = 0. What is w?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 + -52. Let c = -58.37 + d. Round c to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u**2 + 80*u - 61*u**2 + 56 + 125*u**2 - 2*u**3 = 0 for u.\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-623)\/267)\/((-1)\/3) - 6. Solve 7 = -4*i - z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1339893 or 1?\nAnswer: -4\/1339893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27, -73, -147, -249, -379, -537, -723?\n\"Answer: -14*g**2 - 4*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3695\/12 - 308. Let l = 3316429\/19 + -174199. Let q = -350 + l. What is the nearest to 1\/2 in a, 2\/3, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 1. Do z and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21672845*f**2*o**2 + 2*f**2*o - 25*f**2 - 3*f - o**2 + 102861 wrt o.\nAnswer: 43345690*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 + 10*f**3 + 8*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*4\/((-72)\/(-6))*1043\/(-149).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9883 and 7507.3.\nAnswer: -74194645.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 291210181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59913 and 945?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3432\/7 + 3438\/7*z - 6\/7*z**2 = 0.\nAnswer: 1, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 125 + 25 = 0. Solve -4*h - y = -10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**2 - 15*v + 100. Let j(c) be the first derivative of 2*c**3\/3 + 2*c**2 - 25*c + 33. Let t(x) = 9*j(x) + 2*q(x). Is t(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 414 - 291. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007558 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 17\/2*z**2 + 8 + 0*z. Let s(m) = m**2. What is w(s(h))?\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26102501.539 - -26114819. Let u = -12469.4 + k. Let n = u + 152. Round n to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 + 6 = 0. Suppose -r + 1 = 0, 9 = 5*w - v*w - r. Let i(a) = -a**2 + 10*a + 6. Is 6 a factor of i(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15692*a + 517782. Give r(-33).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 38*d - 5*d**3 + 53*d + 17*d - 33*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 8*g - 2. Let r be z(9). Let x be (-20)\/8*r\/(-10). Determine k so that -1\/2 + x*k - 5\/4*k**2 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56769 divided by 447?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2603 - -2603.000012805. Round c to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(16\/6))\/((-27)\/(-6))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*m - 15, 5*m - 30 + 0 = 0. Sort 4, -3, -5, 0, c in ascending order.\nAnswer: -5, -3, 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19585 - 19571. What is the nearest to 0 in 1\/2, y, 5, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34 - 4.44. Let d = o + 4.099919. Round d to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**2. Let y(j) = -2*j + 18 - 49 + 17 + 10. Let w be y(-3). Let k(i) = -i**2 - 7*i**2 + 5*i**w + 5*i**2. Determine p(k(q)).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -j + 22*n - 7 + 4, 1180 - 1195 = -4*j + n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2020 is divided by 86?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1332 from 683952101.3.\nAnswer: 683953433.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*j + 19, -3*j = 2*d - 34. Solve 0 = 2*l - q - 6, -l + 3*q - 6*q = d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*a**2*r**3 - 3*a**2*r - 13*a**2 + 10*a*r**3 - 3*a - 51*r**3 wrt a?\nAnswer: -56*r**3 - 6*r - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -3*b**2 - 14\/3*b**3 - 5\/2*b**4 - 20 - 2\/5*b**5 + 0*b. Solve k(q) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -61\/2. Let v = -70 - -73. Which is the third biggest value? (a) y (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2178, -5193, -9888, -17103, -27678, -42453, -62268, -87963?\n\"Answer: -140*v**3 - 2035*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 - 25*u**2 - 10*u - 1. Let i(c) = -2*c**3 + 2*c. Let l(k) = -2*i(k) - v(k). Let g = -5 - 7. Is l(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in -1\/5, 8, 0.6, -21\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37319035 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -552 (base 6) to base 12\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 618 - 77*x - 284 - 300 wrt x?\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkrrllj. What is prob of sequence kj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 4*s + 20. Let l(m) = -m**2 - 2*m + 10. Let b be (-29 + 2380\/84)*(1 + -4). Give b*i(a) - 5*l(a).\nAnswer: -a**2 + 2*a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -372 + 363. Let p(h) = 7*h**2 + 14*h + 69. Is p(r) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1742 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1454, 17, 3, 2 in increasing order.\nAnswer: 2, 3, 17, 1454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3791 by 3791.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 2*q**2 - 6*q - 5. Let b(a) = 3*a**3 + 5*a**2 + 13*a + 10. Let h(f) = 3*b(f) + 5*n(f). What is the units digit of h(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1917, 3838, 5747, 7638, 9505, 11342, 13143?\nAnswer: 14902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 + (-28)\/(-24). Let n = -0.5 + -0.1. Let q = -0.1 - n. What is the second smallest value in -0.2, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22853261 is divided by 152355.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01121 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 10103?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 7:31 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (132*i**2 - 69*i**2 - 67*i**2)*(-4*i - 7 + 6 - 25*i) to the form y + g*i**3 + l*i**2 + z*i and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2804\/380 - 7)\/((-28)\/(-70))\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1026, -1002, -970, -930, -882, -826?\n\"Answer: 4*z**2 + 12*z - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 906*r*w - 1289229*r - 342*w with respect to w.\nAnswer: 906*r - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3*3\/(-189)). Let q = i + -9. Solve s + s - 2*c = 12, -s + 4*c + q = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:15 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3358897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 816*w + 8. Let g(f) = -f**2 - f - 2. Calculate -4*g(x) - p(x).\nAnswer: 2*x**2 + 820*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 0.3 (b) -2\/25 (c) -2 (d) -57\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 60 = h + 121, 4*q = -3*h + 90. Let w be -3 - 0 - 0 - 1. Sort 3, w, -5, q in descending order.\nAnswer: q, 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1813*r - 7257. Determine a(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8184603, 8184594, 8184585?\n\"Answer: -9*x + 8184612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -4*z**6\/3 - 7*z**3\/3 + 7. Find the third derivative of k(m) wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14604 + 30449. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 times 1492\nAnswer: 64.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604765279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.78533l in millilitres?\nAnswer: 76785.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 733658 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 1. Let i be j(-1). Let d be (-12)\/(-9) - (-12)\/i. What is the biggest value in d, -3\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5395 - 5332. Calculate the highest common factor of 238 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 35*m**2 - 61*m - 2132. Calculate w(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10683652 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -15. Let b = -154 + 179. Calculate the remainder when b is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 5 (b) -5 (c) -6259608\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 7*w + 3. Let j(t) = t**2 - t + 123. Let d(f) = -f**2 + 2*f - 154. Let m(g) = -4*d(g) - 5*j(g). Give 2*b(r) - 5*m(r).\nAnswer: -r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 4)*((-2*h**3 - h**3 + 4*h**3)*(98 - 98 - 21*h) + (2*h**2 + 2 - 2)*(2*h**2 - h**2 - 2*h**2)) as f*h**2 + i*h**3 + a + q*h + r*h**4 and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = t - 4*i - 2, -4*i + 8 = 4*t. Let d(c) = c**3 + 2*c + 2*c - c**t - 5*c. Let h be d(2). Solve -s - 16 = -4*r - h, r = 2*s + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24156 is divided by 5844.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 + 342\/15. Suppose -11 = 2*n - i. What is the remainder when 22 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2. Let g be (-246)\/(-22) - 4\/22. Let m(z) = g*z + 17*z - 30*z. Calculate u(m(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 343*j**3 - 59678*j**2 - 697*j + 53. Give s(174).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17730 and 350706295?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 4*f - 3*f)*(102*f + f**2 - 184*f + 105*f) as o*f + m + d*f**2 + t*f**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((6*(sqrt(88) + 3*sqrt(88)))\/sqrt(8) - (2 + sqrt(11))*3*5)**2*2.\nAnswer: -21492 + 6480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514652.3s in minutes?\nAnswer: 25244.205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 283 + -284. Let j = 2776\/39173 - 1\/911. Is j less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2151*y + 25597 = 646*y + 12 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/15*2\/(-24). Put -4\/7, -0.3, v in increasing order.\nAnswer: -4\/7, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 673.\nAnswer: -3\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 - ((-8 - -4) + 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*k, 70*k - 67*k + 642 = 3*b. What is the smallest common multiple of 54 and b?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*a + 690. Let k = -47 + a. Let l = 174 - k. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -14, -7, 2?\n\"Answer: t**2 + 2*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 8\/313 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 327. Let y be g(-81). Solve 0 = 3*x + i + 4, 0 = x - 3*i - y + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -82. Suppose 3*u - r = u - j, 5*u = 4*j + 109. Suppose -6 = y - u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w**2 - 38*w - 22. Is 39 a factor of t(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -120, -89, -16, 105, 280, 515?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0582 + -10.0582. Which is the third smallest value? (a) 0.4 (b) t (c) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.44 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**5\/120 - 7*j**3\/3 + 6. Let f(x) be the third derivative of s(x). Let u(h) = 2*h**2. Give u(f(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79\/1743052 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 1196 - 1077. Solve 23 = -g*f - 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 2*x. Suppose -10 = -l - 2*v, -4*v + v = -x*l + 39. Suppose -3*j - 5*t + l = -18, -2*j + 5*t - 5 = 0. Solve -j*o = -o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 345, -108, 0 in descending order.\nAnswer: 345, 0, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c2 - -d?\nAnswer: 2d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 402 + 66. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186*h**3*s**2*x - 2*h**3*s*x - 70*h**2*x + 3*s**2 + s*x wrt s.\nAnswer: -372*h**3*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*24\/20 + -2. Suppose 0 = -o*h + 8 + 12. Let a(b) = 8*b**2 - b + 8. Let z(l) = 7*l**2 - l + 7. What is h*a(u) - 6*z(u)?\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*o**3 - 667408*h**2*o**2 - 2*h*o**3 + 70677*h + 4*o**3 wrt h?\nAnswer: 2*o**3 - 1334816*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 9*x + 4*s - 18, 0 = -4*x - 2*s + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 0*v**6 + 1\/60*v**5 - 4\/105*v**7 + 0*v**4 + 7*v**2 + 0 + 0*v + 0*v**3. What is the third derivative of m(x) wrt x?\nAnswer: -192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/14)\/((-2813544)\/216426 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 8 = 2*n, -26 = 3*t - 11*n - 12*n + 66 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -84*f - 248. Let o be i(-3). Solve o*z = -7*z + 33 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i. Let q = 580 - 552. Let d(k) = 33*k - q*k - 25*k. Determine d(s(z)).\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450164 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 33*v**2\/2 - 65*v\/4.\nAnswer: -v*(v + 1)*(v + 65)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5696, 0.63417, -0.5 in descending order.\nAnswer: 0.63417, 0.5696, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 60, -14, -1197?\nAnswer: -1197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**12\/g**(-2\/27))**(-8))**(-2\/21) assuming g is positive.\nAnswer: g**(5216\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4439, -2, -3 in decreasing order.\nAnswer: 4439, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 5*h + 4*h)*(4 - 2 + 0) - 5 - 218*h + 94*h - 137*h as m*h + r and give m.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18601395 to the power of 1\/2, to the nearest integer?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-13*(-18)\/117)\/(2\/7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32316 + -32318. Let p = 9 - 13. Let l = -6 - p. Which is the closest to l? (a) 1\/2 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbera. Give prob of picking 1 b, 1 r, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 536 - -942. What are the prime factors of f?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -9*v + 1793. Let p = v + -210. Which is the fourth smallest value? (a) -0.3 (b) 0.2 (c) -4\/9 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16, 12, 0, -1 in descending order.\nAnswer: 16, 12, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1664\/272 + (-4)\/34)*(-6 + 15775\/2625).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 8. Is 37*-1*(f + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - 25*z**4 + 4 + 6 - 7 + 19*z**4 to the form p*z**3 + d*z + i*z**4 + f + h*z**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111\/(-333))\/((-4)\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13081, 26151, 39211, 52255, 65277?\nAnswer: 78271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 7*s - 8. Let o be v(7). Let w = 21 + o. Let x = -10 - -33. Calculate the remainder when x is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-21))\/((-3)\/((-486)\/(-18))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (1 + sqrt(1331) + -2 + sqrt(1331) + -1*(sqrt(1331) - (-2 + sqrt(1331))))**2) + 4.\nAnswer: -396*sqrt(11) + 16012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*j - 3. Suppose 68 = j*n + 13. Solve -5 = -4*y + n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 50 = 4*a, -2186139 = a + 38*q - 2185759 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - 1*sqrt(228)*-2 - sqrt(228))*1)\/((4*sqrt(36) - sqrt(36))\/sqrt(3)*-1))**2*5.\nAnswer: 380\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17756\/315 - -1327\/21. Let l = 56\/9 - b. Is l != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0848743996878 and -383?\nAnswer: 382.9151256003122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 522*a - 949\/2*a**2 - 9\/2*a**4 + 87*a**3 - 162.\nAnswer: -(a - 9)**2*(3*a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utxxmmxumxuuu. Give prob of sequence xtmu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 176*k**2 - 4*k + 3. Let n be d(4). Let s = 22393\/8 - n. Find the common denominator of (-2)\/8*226\/5 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 - 1835*y**2 - 2370*y - 50273. Give v(613).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-4)*q*q)\/q)\/q**(-7\/3)*q**(-4\/5)\/(q\/(q\/q**9)))**(-1\/16))**(-6) assuming q is positive.\nAnswer: q**(-157\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0 + 18. Does 5 divide (-3 - -2 - v) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 3*d**2 + 4. Let g be k(-2). Solve g = -5*i + 1 - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.45 - 0.05. Which is the smallest value? (a) 5 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289 times 4?\nAnswer: 5156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4)\/(o**(5\/4)\/o)*(o\/(o*o*(o\/(o*o**(-1)))\/o))**(-2\/11) assuming o is positive.\nAnswer: o**(-179\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -190*s**2 - 1315*s + 105 = 0. What is s?\nAnswer: -7, 3\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**3 + 4*k**2 + 21*k + 34. Calculate m(-3).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from rvbbvobob.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 1. Let s(w) = 2*w**3 + 3*w**2 + 1. Give -2*q(r) - s(r).\nAnswer: -2*r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9725 - 0.0275. Which is the closest to -0.1? (a) 1\/10 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53, -130, -271, -512, -889?\n\"Answer: -6*j**3 + 4*j**2 - 47*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1271933917.9999947 - 1271933791. Let z = k - 127. What is z rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237794634 by -2.\nAnswer: -118897317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (-7)\/(-4))*-3. Which is the nearest to f? (a) -2\/9 (b) -0.4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Let y(z) = -z + 7. Let x be y(5). Let l be x\/(-5)*70\/(-336). Which is the nearest to -1? (a) h (b) -6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7751\/6213 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 + 2*q**4 + 65*q**3 + 91 - 171)*(-2 + 0 + 0).\nAnswer: -4*q**4 - 130*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 40*z**2 + 2071*z - 15712. What is y(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -288 - -292. Find the third derivative of -4*x**4 + l*x**4 - 63*x**6 + 87*x**2 + 31*x**6 - 29*x**6 wrt x.\nAnswer: -7320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 584 - -5724. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5195, -5150, -5105, -5060, -5015?\n\"Answer: 45*p - 5240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g + 9. Let q be (-6)\/(-4)*(-1 + g). Suppose q*w + 3 = 12. Solve n + 4 = -3*v, -4*v = -7*v + w*n - 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -211\/105 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/12*(-6)\/(-5). What is the third derivative of -144*o**2 + 71*o**x + 31*o**3 + 79*o**2 wrt o?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200001 - -1002012021121?\nAnswer: 1002020221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-4)*6318\/(-5265).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - 1\/(-2). Factor m + 19*m - 50*m**2 - 1 - p.\nAnswer: -2*(5*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 324 - -122112242?\nAnswer: 122113121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41326.99 decades to centuries.\nAnswer: 4132.699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2415, -3, 0.3 in descending order.\nAnswer: 2415, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*h + 44, 2*p - p + 5*h = 31. Solve o - p + 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.412 + -34.78. Let n = 26.4 + b. Round n to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.299 - 3.701. Sort 0.2, 3, -0.2, z, 8 in decreasing order.\nAnswer: 8, 3, 0.2, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13131 - 2213?\nAnswer: -22010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53414466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:19 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 4, -1, 3162, 10, 1 in descending order.\nAnswer: 3162, 10, 5, 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31111 (base 4) to base 8.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 327 in -2\/11, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1)*(-3)\/(-6). Let v(w) = h*w + w - 4 - 3 + 0. Calculate v(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 926.244 microseconds?\nAnswer: 0.0000154374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2537)\/430 - (-4)\/(-40). Sort 1, 33, s in ascending order.\nAnswer: s, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 690174 or 690173?\nAnswer: 690173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -2*n, -4*n + 15 = 3*v - 2. Suppose 3*y = 2*d + 25, 6*d + n = 5*d. Calculate the least common multiple of y and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-1122))\/((48\/21)\/(3\/(-7))).\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/((-18178)\/745))\/((-1)\/(-18)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lblmadmbnbndlb. What is prob of sequence nb?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3733, 2258, 785, -686, -2155, -3622, -5087?\nAnswer: -6550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 is divided by 487.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 19 - -32 - 23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2446 + -1018. What are the prime factors of k?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 22*n**2 - 17*n - 18. Let x be u(10). Suppose -5*y - 4*j + 134 = 0, 8*j - x*j - 16 = 0. Solve -2*i - 5*q + 5 = 0, 2*i + 5*q = 5*i + y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114670 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 11*u - 64 = -9*u, -3*q + 0 - 143 = 4*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81876772.\nAnswer: 2, 557, 36749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times -12689?\nAnswer: 3045.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 24*h. Let c(j) = 436*j - 8. Let n(w) = -144*w + 3. Let y(v) = 3*c(v) + 8*n(v). Give 32*g(k) - 5*y(k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2810065, 2810066, 2810067, 2810068, 2810069, 2810070?\nAnswer: 2810071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39.6718 and -5.\nAnswer: -44.6718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + m - 1. Let l be u(1). Let i(f) = 4*f**2 - 1. Let a be i(l). What is the units digit of (-2)\/((-4)\/(-21))*(-4)\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/10*147)\/((-13)\/(-65)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6888, -13631, -20370, -27105, -33836?\n\"Answer: 2*t**2 - 6749*t - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {d: 17, t: 3}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2*o**2 + 3*o**2)*(-2 + 1 + 2) + 0*o**2 + 3*o**2 - o**2 + 2*o**2 + 20*o - 2*o - 7*o.\nAnswer: 3*o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - (20 + -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1.19, 1302, -0.026 in descending order.\nAnswer: 1302, 1.19, 0.4, -0.026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6914473537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*u + 396 + 188, 3*h + 446 = -u. Let r = -1033\/7 - h. Let t = -8 + 4. Which is the smallest value? (a) -4\/7 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + a - 6 = 0, 4 = -4*r + 3*a + 6. Solve 4*l + l = 3*g - 8, 5*g + 28 = -r*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770.402 decades in years?\nAnswer: 7704.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lblwppvddwdpwdd. What is prob of sequence wd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 6*x. Let c(p) = -2*p**2 + 5*p. Let y(q) = 6*c(q) + 5*t(q). Let h(s) be the first derivative of -s**2 + 9. What is h(y(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**3\/2 - 465*v**2\/2 + 1740*v - 3400 = 0.\nAnswer: 4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 2*u**7\/105 - u**6\/30 - u**5\/15 + u**4\/6 - u**2\/2 - 5*u. Let i(v) be the first derivative of h(v). Factor i(b).\nAnswer: 4*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q + 1. Let t be w(2). Let u = 0.35 + -0.851. Let n = u - -5.501. Which is the third smallest value? (a) n (b) 0 (c) -0.1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/760 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-20) + (-81)\/(-5). Calculate the highest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 35*t**2 - 5*t + 15. Let o(u) = -u**2 - 1. Let z(x) = a(x) + 15*o(x). Let h be z(-3). Suppose -4*w + h = w. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 4. Let x be z(7). Solve 3*g - x + 0 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = k - 3*g - 0*g, 5*k - g = -27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4849.993nm in micrometers?\nAnswer: 4.849993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*y + y + 5, 45 = 4*j + y. What is the remainder when 57 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-63))\/(-8)*1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-729)\/324*(-1)\/6*12. Let c(x) = x + 5. Suppose -m = 4*m. Let i be c(m). Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 25. Suppose h - 51 = -5*k, -4*k - 15 + 51 = -4*h. Let d = i - k. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54653389 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*g - 177, -47*l = -50*l + 4*g + 451. Suppose -6*d - l = -103. Let v(u) = u**3 + 10*u**2 + 10*u - 2. Calculate v(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1147491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 21 = 2*r, -4*f + r - 18 = -r. Let i be 1\/f*(-4 + 1). Solve -i = s + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3 - 9*r**2 - 138*r + 504 = 0 for r.\nAnswer: -7, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4423 - -3243?\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*d + 22 = 0, 4*j - d = -j + 29. Suppose -20 = -6*m + j*m. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2 + 39*h - 9. Let l(n) = n**2 + n + 1. Let u(t) = -18*l(t) - 2*v(t). Let u(i) = 0. Calculate i.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 - (-1)\/(-3)*15. Solve -b*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 94, 204, 346, 520?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/((v\/v**(-7\/2)*v)\/v))*v*v**(-7\/4)*((v\/((v*v\/(v*(v*v**(3\/2))\/v*v))\/v))\/v)**(11\/8) assuming v is positive.\nAnswer: v**(115\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85438984 or -85438986?\nAnswer: -85438986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(sqrt(2057) - 5*sqrt(2057)*-2).\nAnswer: -363*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*n + 1, -n + 30 - 16 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355 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: Suppose 0 = s - n - 6, -5*s - 5*n - 2 = -22. Solve 12 = 2*o - s*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 28 = 22. Calculate the greatest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197819 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: What is the remainder when 548 is divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**4\/2 + 4*k**3\/3 - k**2 - 4*k + 3. Find w, given that v(w) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 137880 - 78*l - 137880 - 2604*l + 0*l - l + 0*l + (3 - 1 - 1)*(0*l + 0*l - 2*l) - 3*l - l + 5*l - 73 + 73 + 7*l in the form n*l + g and give n.\nAnswer: -2677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let v = z - 0.9. Let l = -0.04 - -0.04. What is the closest to 0.1 in v, l, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - -125. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36928 is divided by 4720?\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3263*v - 3268*v + 4*i, -2*v + 5*i - 15 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 51 = -43. Let h = j + -35. Suppose -h = -3*n - 0*n. Which is smaller: 6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -290*m**3 + m - 4*m - 10*m**2 + 289*m**3. Determine v(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x - 30. Let h be (-42)\/140 - 135\/50. Sort x, 1, h, 2.\nAnswer: h, 1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d**(-12))\/d)\/d)\/d*d)\/(d\/((d*d*d*d**13*d*d)\/d))*(d*d**9)\/(d*((d*d**11)\/d)\/d))**(2\/31) assuming d is positive.\nAnswer: d**(4\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -17. Let d(w) be the first derivative of 1 + 2*w + 2\/3*w**3 - 2*w**v. Factor d(o).\nAnswer: 2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 c when three letters picked without replacement from txcgtttgtxtttcgt.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + 6*d - 5. Let l(o) = 9*o**2 + 12*o - 12. Calculate 3*l(g) - 7*y(g).\nAnswer: -g**2 - 6*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*p**3 + 4*p**3 + 10*p**3 + p**4 + (p - 3*p - 2*p)*(-3*p**3 + 2*p**3 - p**3) + p**4 + 3*p**4 - 3*p**4.\nAnswer: 10*p**4 - 21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isjhhhshiiishisih. Give prob of sequence shsj.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-1 - -1 - -2) - 11. Let a be 120\/90 + g\/(-6). Solve -4 = -a*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 140916 and 36208656.\nAnswer: 36349572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1) + (-256)\/144. Which is the closest to -1? (a) 2 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -64, -153, -258, -385?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 48 = 8*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*t + 11141 = 62*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2. Let y(u) = -3*u - 4615. Determine y(k(i)).\nAnswer: -9*i**2 - 4615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 1\/120 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 - 3.1. Which is the second smallest value? (a) -14 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 4, -3*h + 26 = -2*a. Suppose h*v - 180 = 3*v. Suppose 354 = -178*q + 184*q. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/21)\/((-2)\/(-7)). Suppose -a = 2 - 4. Find p such that 4*p**b + 12*p + 2*p**a + 6*p**3 + 2*p**4 - 10*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 y when three letters picked without replacement from {l: 3, h: 2, t: 3, f: 3, y: 2, s: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -100. Let j(b) = b - 497. What is 2*j(y) - 11*w(y)?\nAnswer: 2*y + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 638*f**3 + 637*f**3 - 4 - f as b*f**3 + a*f**2 + t*f + j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.43 + -0.03. Let c = -238457 + 715370\/3. What is the biggest value in 1.1, c, r?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.3. Let w = k - 0. Let z be (-6)\/(-99)*30 + (0 - 2). Sort -4, z, w in decreasing order.\nAnswer: w, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150 + -1925.\nAnswer: -2075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 3:55 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7498564*g**2 + 7133709*g wrt g.\nAnswer: -14997128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014 + -2?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 10*q = -135 - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**3\/3 - 2*y**2 + 6*y - 4. Let o = 4 + 1. Calculate c(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0*c**6 + 0 + 0*c + 0*c**4 + 1\/112*c**8 + 0*c**7 + 1\/20*c**5 + 0*c**3 + 7*c**2. What is the third derivative of l(y) wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -583 - -603. Let o be h\/(-4)*-13 - 1*5. Calculate the greatest common factor of o and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmaaaaammmcaacaaum. What is prob of sequence aacm?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52150527\/5425 - -9613. Let u = 6311\/775 + t. Calculate the common denominator of u and -47\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.6 + 11.673. Let v = 0.537 + k. Let x = -0.552 + v. Round x to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p + 15. What is the tens digit of p + (8*2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739.424 millilitres in litres?\nAnswer: 1.739424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1147, 1999, 2845, 3685?\nAnswer: 4519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h + 4, -28 = 4*w - 4*h. Let s(n) = 2*n. Let o(f) = -11*f - 2. Let g(z) = 2*o(z) + 10*s(z). What is the units digit of g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from nynngnnyloyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1692*a**2 - 270 + 843*a**2 + 4*a + 847*a**2)*(-5*a**3 - a**3 + 4*a**3).\nAnswer: 4*a**5 - 8*a**4 + 540*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 8*i**2 - 6*i + 12. Suppose -97*u + 88*u = -72. Determine s(u).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4041*w**2\/2 - 4033*w\/2 - 4 = 0.\nAnswer: -8\/4041, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5\/6 (b) -0.4 (c) -3672603\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.994307 decades in centuries?\nAnswer: 0.9994307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163722838 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 4*w + 16*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 5*r**2 - 2*r - 7. Let o = -8 + 13. Let b(s) = s**3 - 4*s**2 + 2*s + 6. Let u = -8 + 6. Let v = 2 - u. What is o*b(g) + v*q(g)?\nAnswer: g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = 3*j, 0*j - 29 = 2*j + 3*q. Let r(o) = -o - 12. Let y be r(j). Let p = -3564 + 3569. Which is the smallest value? (a) -0.3 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23870103 is divided by 75300.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+-0.0303\nAnswer: -0.1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**4\/8 + q**3\/6 + 7*q**2 + 3. Calculate p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4566 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 10*m**4 + m**3\/6 + 23*m**2\/2 - 93*m. Is g(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341 * -0.01116\nAnswer: 3.80556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147.91 - -0.91. Let o = g - -79. Let c = -68.87 - o. Round c to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017462 rounded to 6 dps?\nAnswer: -0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(729) - (sqrt(729) - -3*sqrt(729))) + sqrt(729)).\nAnswer: -sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 254, 365, 476?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-120))\/((-6)\/48*-2)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 430\/(-129)*(-15)\/((-5)\/(-3)*12\/10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (100\/15 - 4)*(-3)\/(-2). Let l(d) be the second derivative of -1\/45*d**6 + 0 - 3*d + 1\/18*d**3 + 0*d**5 + 1\/18*d**t + 0*d**2 - 1\/126*d**7. Factor l(y).\nAnswer: -y*(y - 1)*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/44161 and -33\/316.\nAnswer: 176644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 22 (c) 2 (d) 0.2 (e) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 265227*v**2*x**3 - 1501*v**2 - 38*v*x**3 - 166*v*x**2 + 2*v*x - 375*x**3 + 6 wrt v?\nAnswer: 530454*x**3 - 3002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -9*n + 2*n. Let l be 261\/((-15)\/(-6) + n). Suppose 2*y = 5*y - l. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (-32 + 53 + -24).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -3160931.\nAnswer: -1580465.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 1)*(-1 - 3 + 2)*(10*h - 28*h + 6*h).\nAnswer: -144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -3 (c) 1\/7 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r + 102. Let t(q) = 3*q**3 + 162*q**2 - 12. Let h be t(-54). What is v(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -583330 by 53030.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-2*r + 4*r - 4*r) - 6*r + 4*r - r)*(-3*r + 5*r - 5*r).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.5. Let r = -1 + q. What is the biggest value in r, 0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -aa12?\nAnswer: -aa04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000000100100100111100 (base 2) to base 16.\nAnswer: -40493c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -1093 - 942. Is 37 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4) + (-2)\/2. Let l = 5 - 5. Which is the nearest to l? (a) 5 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 84*d**2 + 314*d + 1314. Does 10 divide c(82)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11345557081\/1855 - 6116203. Let n = c + 2\/265. Put 1\/3, 6, 3, n in decreasing order.\nAnswer: 6, 3, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3221 (base 5) to base 8.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14\/(z\/(z*z**(-4\/13))))**(1\/5) assuming z is positive.\nAnswer: z**(178\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 less than 0.27?\nAnswer: 18.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 147118 = -4*k, 3 - 1 = -2*w. Suppose 4*n = 5*g + 141904, 4*n = g + 105141 + k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 30*h**3 + 1760*h**2.\nAnswer: -5*h**2*(h - 16)*(h + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g - 252 + 130 + 137. Let m(y) = y - 2. Let u(f) = d(f) + 5*m(f). Suppose -4*b - 6 = 2*c - 20, 4*c = -20. What is u(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = 2*q - 4*t - 16, -3*t + 5 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 109, 105, 103, 103, 105?\n\"Answer: v**2 - 7*v + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -16*h + 539. Solve -4*d = -2*a - h + 8, -d + 16 = -3*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203 - -25?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, k: 3, n: 1, h: 1, w: 2, c: 1}. Give prob of sequence nhm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 12b?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 799980.1ml?\nAnswer: 799.9801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 23. Let t be f(21). Let c(r) = -r**2 + 11*r - 7. Let h be c(8). Suppose 0*x + 5*y = 2*x - 13, 3*y = -5*x + h. Solve t*m - 2 = x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39432)\/(-48) - -2*7. Are m and 837 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -19*j. Put 0.1, -7\/2, j, 1 in descending order.\nAnswer: 1, 0.1, j, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/4, -308, 0.4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/25 - 11\/225. Let l(d) be the third derivative of -d**2 + 0*d - a*d**3 + 0 + 5\/72*d**4 - 1\/60*d**5. Suppose l(b) = 0. Calculate b.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15215 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5f6 (base 16) to base 3\nAnswer: 2002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 30 = j, 2*k + 2*j + 28 = 5*k. Sort 7, k, -1.\nAnswer: -1, 7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 8*j + 1\/6*j**3 - 2*j**2 + 0. What is the units digit of q(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 + 4*v - 6. Suppose x + 0*x = 3*n + 14, -5*x - 30 = 5*n. What is o(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 8:39 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2 - 6*q + 4 to the form i + z*q and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76955 > 77168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((668\/(-4509))\/(-1 + -1))\/((-8)\/12).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by 3\nAnswer: 248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1539760 and 70.\nAnswer: 10778320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92393 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 4*b + 7 - 7 to the form j + c*b and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0101 + -420.0101. Let b = r - -840. Let g = b + -419.9999629. Round g to six decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 4}. What is prob of picking 2 w and 2 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/5)\/((-34)\/(-85)). What are the prime factors of 9 - c\/((-3)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 1, q: 11, c: 2}. Give prob of picking 1 g and 1 q.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6883114 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76.66331 decades?\nAnswer: 7.666331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -48. Let r = w - 3. Solve 4*h - r*t - 7 - 8 = 0, 4*t + 13 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 136 + (-3 - (-2 + 2)). Suppose 42 = 4*d - 5*w + 4, -5*d = -4*w - 43. What is the highest common factor of x and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60024 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8*q - 1297 = -3*q, 2*j - q = 1309. Suppose -z + 646 = 3*a, 2*z - 5*a - j = 581. List the prime factors of z.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*j = -2717, g + 2*j - 2513 = 204. Calculate the remainder when g is divided by 160.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 + 2*d**3 + 14*d**3 - 4*d**3.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r**3 - 1483*r**2 + 852*r - 7. Let y(h) = -6*h**3 - 742*h**2 + 380*h - 4. Let j(l) = 4*b(l) - 7*y(l). Factor j(c).\nAnswer: -2*c*(c - 1)*(5*c + 374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 25*h**2 - 149*h - 65. Let d be p(7). Solve 138*i - d*i = 126 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5746 divided by -17.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - (-2 - -13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + (-19 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/4))**(-6)*(c**(-2\/5)\/c)**(-42\/5))**(-2\/7))**(-31) assuming c is positive.\nAnswer: c**(6603\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 40. Suppose 5*c = u - 20, 0 = -2*c - 0*c - q. Suppose 2*h + u - 4 = y, 4*h = -2*y + 16. What is the least common multiple of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 26*k = 65. Let p(w) = 21*w**2 + 5*w. Let b(t) = -52*t + 100*t**2 + 16*t**2 + 80*t. Determine k*b(q) - 28*p(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c + 17*c = 16*c. Let o be ((-13)\/((-2)\/(-2)))\/1. Let a = 2.3 + -2.4. What is the second smallest value in c, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 1 + 1)*(3*n - n + 3*n)*(8*n - 8*n - 5*n**3).\nAnswer: -25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 - 18104*n + 54348 = 0. Calculate n.\nAnswer: -4529, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-24)\/(-16)*(-60)\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.64 - -3.7. Which is the nearest to i? (a) 2 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/11, 5, -4\/5 in ascending order.\nAnswer: -4\/5, 2\/11, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.06 (c) -1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (15\/8)\/(9 + (-45)\/6)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than -11541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -41*q. Let j(g) = -3*g - 6920. Determine j(o(h)).\nAnswer: 123*h - 6920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22476978 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**1*h)**20\/((h\/(h*h**4*h))\/(h**(2\/9)\/h)) assuming h is positive.\nAnswer: h**(758\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*j + (1 + 2 - 4)*(-j + 1 - 1) + 0 + 2*j + 0 + 503*j - 554*j - 276*j + (-5 + 4 - 2)*(2*j - 4*j + 3*j) to v + n*j and give n.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 3*u - 2*u**2 - 7\/6*u**3 + 0. Let n(l) = l + 1. What is g(a) + 4*n(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/208723 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - -1 - (-130 + 146)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:56 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 4. Let m be (5 - -1)*(2 - 1). Suppose -m*z = -2*z - 16. What is d(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*t - 302*t - 305*t.\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(21\/(-3)))\/4. What is the third biggest value in 6\/5, -0.1, 1\/6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28436\/3 - 9490. What is the common denominator of 2 - 1\/((-20)\/106) and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5 - 1\/5*t**3 + 0*t**2 + 12\/5*t.\nAnswer: -(t - 4)*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29384742 to the nearest integer?\nAnswer: 5421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 26 = -i, -i + 3*i - 5*y = -8. Calculate the lowest common multiple of 16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from gweeowneenseeeses.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/420 + 17*a**5\/105 + 145*a**4\/84 + 12522*a**2. Let w(q) = 0. Calculate q.\nAnswer: -29, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (1 - (-165)\/(-39)). Do 0 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 2*g + 2*g + 8172161 + 8171787 - 16343948.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/((o\/o**32*o)\/o*o))*o**(-5\/4))\/((o*o**10)\/o**(-36)))**(14\/9) assuming o is positive.\nAnswer: o**(-2191\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmm when three letters picked without replacement from gnmmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22857 and 1197?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**2 + 1625710 + 1625714 + 19*t**2 - 3251424.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-112)\/(-36) + -3 + (5732\/9 - -3). Calculate the greatest common factor of a and 1664.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 0*s. Let t(b) = -s + 6*b**2 + 2 - 3*b + 3. Is t(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*b - 3*b. Let j(l) = -l**2 + 8*l - 2. What are the prime factors of j(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.18 (b) 0.1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**3 - 5*o**2 + o + 2. Let f(d) = -2*d**3 - 3*d**2 + 2. Let c(n) = 4*f(n) - 3*h(n). Let t(q) = -4*q**2 + 4*q - 2. Determine 4*c(x) + 3*t(x).\nAnswer: 4*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 13*h**2 - h - 2. Let n be f(-13). Factor -n*s - 12*s**2 - 9*s - 8 + 2*s**4 + 4*s**3 + 2*s**4.\nAnswer: 4*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-23)\/30 + 11\/110)\/(2\/(-255)). What is the highest common divisor of 2720 and r?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -s + 18, -2*s - 2*o + 9 = -s. Solve s*b + 0*b = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(1*(-2)\/6). Let m = 3 + h. Let c = m - 13. Solve c = -0*r - 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1363 + 103*q**2 + 3*q + 0*q - 105*q**2 + 0*q.\nAnswer: -2*q**2 + 3*q + 1363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 19. Let w be f(7). Suppose -w*v = -0*v - 8. Solve v*d + 4 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12900000 to the nearest 100000.\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m - 7. What is the remainder when w(-6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 3\/4*l**4 - 2*l**2 + 12*l + 185 + 12*l**3. Find the second derivative of z(w) wrt w.\nAnswer: 18*w + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(637)*2 + sqrt(1053) + 1 - (1 + 1 + sqrt(13) + 2))**2.\nAnswer: -132*sqrt(13) + 6299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**2*l**2 - 3*i**2*l - 3*i**2 + 41*i*l**2 - 198*i + 2*l**4 wrt l?\nAnswer: 14*i**2 + 82*i + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 3. Let f(x) = -2*x**2 - x - 8. Let l(j) = j**2 + j + 4. Let b(u) = -2*f(u) - 5*l(u). Give 2*b(d) + 3*o(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.31774 - -0.51829. Let z = h + 1.8. What is z rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.04 + 0.04. Let n be (1\/(-12))\/((-6)\/8*32\/96). Which is the closest to n? (a) -0.1 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015405 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 3, c: 3, k: 5, h: 1}. What is prob of sequence chk?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*l + 12, 2*l - 3*v + 7 = -2. Solve a = 3*t - 3, l = -2*a - 0*t - 2*t + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -10 + 0*s**2 + 0*s + 0*s**4 + 35\/3*s**3 + 0*s**5 + 2\/3*s**6. What is the third derivative of l(m) wrt m?\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83564292 and 0.1?\nAnswer: 8356429.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j**3 - 4*j**2 - 4*j - 4. Let l(u) = -21*u**3 + 11*u**2 + 11*u + 11. Calculate 11*k(q) + 4*l(q).\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3\/4)\/r)\/r**(-7))\/((r\/r**(-7)*r*r)\/(((r**3\/r)\/r)\/r)))\/((r\/r**5)\/(r\/r**(2\/25)*r))**(2\/115) assuming r is positive.\nAnswer: r**(-53441\/11500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*q, 2*u - 5*q - 278 = 148. Let z be -3 + 0 - (0 - 1). Let o be 2 + z\/(-1) + 25. What is the greatest common factor of u and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 12*f - 3*f**2 - 33\/8*f**4 - 9*f**3 + 6 - 3\/5*f**5. Solve d(b) = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6376.67 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = -6. Put o, 0, -1 in decreasing order.\nAnswer: 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*u**2 - 84*u**2 - 14*u**5 + 35*u**5 wrt u?\nAnswer: 1260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1495346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(-7 + 4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/4 + 2*j**3\/3 - 7*j**2\/2 + j + 28. Does 3 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 10:04 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 4 + 10*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - f - f - 4*f - f as v + d*f and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n - 80 = -5*z, -3*n = -15. Suppose 52 = -4*j - 40. Let f = 43 + j. Calculate the remainder when f is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*y**2 - 189*y.\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -51. Suppose -6*b + x = -2*b. Suppose 3*v = b*v - 34. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 147*a - 146*a. Suppose -q - 3*q + 244 = 0. Suppose -3*z + a = -q. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 1. Let m be p(-1). Suppose 16 = m*c - 4*x, -2*c + 10 = -x + 3*x. What are the prime factors of c\/8 + 13\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -131*n - 3. Let u(q) = 241*q + 5. Give -5*a(v) - 2*u(v).\nAnswer: 173*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 4, 55, -94, -3\/5, -209.5?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(4\/(-10))*-2. Let b(a) = -3*a + 12. Let o(t) = 2*t - 6. Let j(c) = l*o(c) - 3*b(c). Let q be (6 + 2)*9\/(-12). Calculate j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3 - 9*l**2 + 9*l**2 - l**3 + 5*l. Is o(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*n + 353*n - 160406*n**2.\nAnswer: -160406*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -677395 divided by -1\nAnswer: 677395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012543 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1\/(-9) - (-2168)\/432*6 and 11 + 1*-2 - 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 380 - 392. Is b <= -61\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 5*a - 2. Let o = -68 - -70. Let z be j(o). What is the closest to -1 in z, 0.2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.07 + 3.93. Let g = -5 + 4.6. Which is the smallest value? (a) 0.5 (b) u (c) g (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 6, h: 2, v: 2}. What is prob of sequence hc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22965 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.985 - -48.285. Let z = 51 - v. Let q = z + -4. Which is the nearest to -1\/3? (a) -2\/7 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*v**3 - 6*v**2 - 4*v**2 + 10*v**2.\nAnswer: -232*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94854*j - 19*j**2 + 31623*j + 31588*j + 31643*j + 18*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*i**2 + 15*i**2 - 3 + 3 to the form n*i + x + h*i**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 450.0918 to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Suppose 0 = 5*h - k - 2*k - 4, h - 3*k = 8. Let j = -0.3 + 5.3. Which is the closest to -1? (a) d (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008873168 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -27*v + 3, 4*w - 5*v = 78129. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Let b = -84 - -87. Solve -g - b*g = -4*o, -3*g - 8 = i*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/101 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2414 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 3 - 0) + 3. What is the remainder when 96\/f - (2 + -5) is divided by 188\/28 - 2\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 - 10) + (0 - 1). Suppose -h*j = -5*o + 26, 4*o = 4*j + 4 + 20. Solve x + 5 = 2*t + 8, -3 = -o*t - x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 3. Suppose -3*a - a - 20 = 0. Let d be k(a). Calculate the greatest common divisor of d and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35208 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + 0.33. Let v = -39.57 - f. Let m = 33 + v. Which is the biggest value? (a) m (b) 5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3 (c) 11\/4 (d) -694 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 80. Suppose s = 5*g + 12*g - 561. What is the highest common divisor of g and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*-1*80\/(-200)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 674491 to the power of 1\/2, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 2282718 + 92275 = -774440. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2\/3, 0, 4\/9, 2391, 2\/5?\nAnswer: 2391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16127 - -16339. What is the greatest common divisor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46272, -46142, -45922, -45612, -45212?\nAnswer: -44722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98066777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:26 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12886512 or -219070716\/17?\nAnswer: -12886512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*n**3 + 5135*n**2 + 31005*n - 5310.\nAnswer: -5*(n - 177)*(n + 6)*(6*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -8, -78 in decreasing order.\nAnswer: -8, -51, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10635638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.965133 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782611 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose 0*f = 2*f - 6, -b*f + 18 = -3*y. Let u be (-2 + y\/(-6))\/(-2). What is the closest to -2\/3 in u, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102680900 and 21847000.\nAnswer: 1026809000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0*i**4 - 4*i**2 + 0*i + 1\/10*i**5 - 1\/40*i**6 + 0*i**3 + 0. Solve h(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8914.752ml to litres.\nAnswer: 8.914752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 112201?\nAnswer: 112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 153 (b) 4 (c) 2 (d) -1 (e) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-30768)\/(-21))\/(108\/126) + (-3)\/9.\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/((-6)\/(-45)))\/((-6)\/8). Suppose 0 = 4*b - 5*m - 47, 0*b - 2*b - 2*m = -l. Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 1 + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -28.114?\nAnswer: 28.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -226746 divided by -4?\nAnswer: 113373\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 21 + 3 = 0. Let c(q) be the third derivative of 1\/40*q**6 - 4*q**2 + 0*q**5 + 0*q + 0 - 5\/6*q**h + 0*q**4. What is the derivative of c(g) wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*j - 5*a, 2*a = 16*j - 12*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - 1.9. Let s = i - -6. Let l = -0.6 - -2.6. Which is the closest to 0.3? (a) 4 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17881 by -170.\nAnswer: 17881\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13\/(c**(8\/11)*c*c))\/((c\/(c\/(c**(1\/3)\/c)))\/(((c**(-11\/4)\/c*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(817\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006458 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 78\/90 + 2\/15. Is z less than -3\/329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 8*r = -3*r + 527. Solve -w - 4 = -2*y, 2*y + r*w = 28*w - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u - 4. Let d(w) = w - 1. Let r(a) = -4*d(a) + x(a). Let b(m) = -135*m. Determine r(b(l)).\nAnswer: -135*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 p when four letters picked without replacement from {s: 6, p: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6431321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009888131 rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 3*i + 1. Let l(g) = -4*g**2 - 56*g + 2. Calculate -2*b(m) + l(m).\nAnswer: -2*m**2 - 62*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*p**2 - 35*p**2 + 30*p**2 to the form u*p + h*p**2 + y and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)\/(sqrt(9) + sqrt(9)*-5))\/sqrt(10))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*-4 - (8 + -10). Suppose p = 3*g + 4*y - 35, -y = -2*g - 2*g + 53. Suppose 0 = g*s - 18*s + 20. Solve -b + s*m = -8 + 22, -3*m = -4*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w - 3. Let m be ((-32)\/(-24))\/((-2)\/(-96)). Suppose -4*c - m + 15 = -5*n, 2*n = -c + 4. Let g(p) = p. Calculate c*g(u) - v(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 290 + -288. Which is smaller: 1\/6 or l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*q + 40 + 11*q**3 - 86*q**3 + 113*q - 55*q**2 = 0. Calculate q.\nAnswer: -4\/3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 i, and 1 d when four letters picked without replacement from {n: 2, d: 1, r: 1, c: 4, i: 2, o: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*z = 507*z - 80. Solve -12*g + 4*g + z = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(240)*1 + sqrt(240))\/sqrt(8))\/(-1*sqrt(600)) + (-4*sqrt(25)\/sqrt(5) - (sqrt(5) + 0 + -3 + sqrt(5))) + 3))**2.\nAnswer: -372*sqrt(5)\/5 + 1141\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 b when three letters picked without replacement from {m: 2, t: 3, w: 4, x: 1, b: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 - -198.7. Let p = 15 - f. Let s = 3 - 2. What is the nearest to -0.1 in s, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/40*-5 - 8\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1581\nAnswer: -4\/1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78382*j**3 + 282306*j**3 - 23505*j**3.\nAnswer: 337183*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1559*w**4 - 5343*w**3 + 122*w**2 + 84*w - 108?\nAnswer: -37416*w - 32058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-1)))**(-46)*f\/(f\/((f\/((f\/f**(-3\/2)*f)\/f)*f)\/f))*f*f\/(f**(-2\/11)*f)*(f**1)**(2\/55)*f**(-1)\/(f\/f**2) assuming f is positive.\nAnswer: f**(5029\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63270441 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*m + m + 15, -x = -5*m - 13. Suppose 0 = 5*o - x*j - 60, 4*o - 2 = 4*j + 46. Calculate the highest common divisor of o and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352 (base 7) in base 14?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*s**2 + 78*s**2 + 72*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -27*p - 70. Let w(y) = -28*y - 68. Let k(j) = -3*o(j) + 4*w(j). What is the derivative of k(h) wrt h?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -337652, -337651, -337650, -337649, -337648?\n\"Answer: n - 337653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2980759.\nAnswer: 2980759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a + 3*a + a + a. Let c(v) be the third derivative of v**5\/20 - 2*v**2. Give r(c(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/88 + (-4)\/(-22). Let k(x) = x**3 - 2*x**2 - 2*x. Let o be k(2). What is the second smallest value in l, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1276*t - 1295. What is the thousands digit of v(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0569 times 8141\nAnswer: -463.2229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 2*l**3 - 33 - 35.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**3 - 137*z**2 - 51*z + 672. Determine u(23).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5789 - 5795 + 198*m - 1563*m**2 - 198*m in the form n*m**2 + q + x*m and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**(6\/11)*y))\/y**11)\/(y**(1\/11))**(-1\/10) assuming y is positive.\nAnswer: y**(-1159\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*a = o + 17, -a + 2 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12141 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.4, -5\/164 in increasing order.\nAnswer: -9, -5\/164, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4688657 rounded to three dps?\nAnswer: 1.469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 1. Let u be f(-1). Let b(d) = 78*d + 5412. Let q be b(-69). Solve 0*i - q = 5*i + u*a, -i - 9 = 2*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 371*a**3*d**3 + 4*a**3*d**2 - 2*a**3*s**2 - a*d**3*s**2 - 9*a*d**3 - 1602*s**2 wrt d?\nAnswer: 2226*a**3 - 6*a*s**2 - 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392350 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 1 w when three letters picked without replacement from {n: 2, w: 1, r: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*y**3 + 384*y**2 - 384*y**2 + (y - 3*y + 4*y)*(2*y**2 + 1 - 1) to the form h*y**3 + q*y + v*y**2 + j and give h.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -621\/10 - -3142\/45. Calculate the common denominator of -29\/52 and v.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5897512\/279 + -21138. Is b > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q + 11*q**2 + 2*q + 11 + 6*q**2. Let w(u) = 8*u**2 + u + 5. What is -6*t(j) + 13*w(j)?\nAnswer: 2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (2 + sqrt(40)\/sqrt(8)))**2 + sqrt(405)*-6 - (0 + ((sqrt(320) + (sqrt(320) - (sqrt(320) - sqrt(320)*1)))**2 - sqrt(80)*6)).\nAnswer: -1276 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7933712 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j**2\/3 + 13421*j\/3 - 90428\/3.\nAnswer: (j + 1924)*(7*j - 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 11*t + 70. Determine d(-12).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {z: 3, b: 10, y: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(-10)*k*k))*k)\/(k\/k**12))\/(k**(-15)\/(k**(-13)*k)) assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.8 + -14. Let m = -1.24 - w. What is the second smallest value in -4, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -33*i + 8. Suppose 0 = 5*l + 2*n + 44, 4*l + 3 = 2*n - 25. Let j(d) = 11*d - 3. Determine l*j(x) - 3*s(x).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -88678?\nAnswer: 88676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqv. Give prob of sequence vv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 9 = 31. Suppose -3*h = 3, -2*a - 2*h = -0*h + q. Calculate the remainder when 2 - 2 - 45\/a is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 19 = -15*l + 17*l - 2, 5*k - 9*k - 20 = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011000 - 111?\nAnswer: 1000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114942?\nAnswer: 2, 3, 19157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -58 (b) 820 (c) -5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-21))\/((-132)\/(-770)*-5*8\/40).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**3 - 2*h**3 - 2*h**3 + (4*h**2 - 2*h**2 + 0*h**2)*(-3*h - 3*h + 5*h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - 2*f**4 + 3*f**4 + (f**3 + f**3 - 3*f**3)*(-115 + 115 + f).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109435595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 65. Let i be p\/(-8)*260\/(-39). Solve 0 = -9*h + 4*h - i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txvob. Give prob of picking 1 b, 1 v, 1 o, and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14479 + -1129. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -25 + (5 - 5) + (-12 + -39 - -52).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 1483b54?\nAnswer: 1483b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 5*x + 3. Let m(n) = 2*n**2 - 6*n - 4. Give -6*m(v) - 7*p(v).\nAnswer: 2*v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**4\/12 + 5*k**3\/6 + 3*k**2 + 6*k - 6. Let i(w) be the first derivative of c(w). List the prime factors of i(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94709609?\nAnswer: 94709609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/142?\nAnswer: 3\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34105416 is divided by 4809?\nAnswer: 4797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(24)*1 - sqrt(24)))\/(sqrt(12) - -4*sqrt(12)*-3)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/1 - -2*13\/(-4). Which is greater: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1 + sqrt(720))\/(sqrt(4) - sqrt(28)\/sqrt(343)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192 - -207. Calculate the highest common divisor of 60 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.12495 micrograms to milligrams.\nAnswer: 0.08312495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -32?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Let h(t) = -5*t**3 - 11 - 3*t + 2*t + x*t**3 + 14. Let s be h(0). Solve -s + 2 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 6 = -4*m - 2*y, 2*m - 4*y = 12. Suppose 2*i + 3*b - 7 = 0, 69 = -5*b + 74. Factor -5\/4*q**i + 1\/4*q + q**3 + m.\nAnswer: q*(q - 1)*(4*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*g - 19 = 0, t - 11*g = -12*g + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 800000 - 11*z + 8*z. Let q be u(0). Round q to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191457 is divided by 2178.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0 - 3. Let s be (3 + 1)*(h + 1). Suppose f + f = s. Which is the second biggest value? (a) 0 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8544*t - 17035*t + 8534*t.\nAnswer: 43*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103650273.\nAnswer: 3, 67, 71, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-2)*7\/28*40\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -51. Sort 4, u, -5.\nAnswer: -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16005 is divided by 7998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249074235 to the power of 1\/3, to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*r**4 - 24*g**2*r + 46*g*r**5 wrt r?\nAnswer: -12*g**2*r**2 + 920*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(7\/((-35)\/(-15))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5\/7 - 249*y**4\/7 + 1007*y**3\/7 - 1263*y**2\/7 + 506*y\/7 = 0?\nAnswer: -253, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8*l + 3*l = -919, -4*f + 2*l = -926. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153147091?\nAnswer: 971, 157721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 86, 107, 128?\n\"Answer: 21*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2781 + 2788. Which is smaller: m or 55?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.8 (b) 139 (c) 3\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 - 2*a**2 - a. Let m be i(-1). Let z = m + -7. Let y(p) = -10*p**3 + 2*p**2 + 2*p - 4. Let k be y(z). What is k rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 + 8*w + 38. Let d be q(-4). Let h = d - 12. Calculate the highest common factor of h and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672*x**2 + 670*x**2 + 2*x + 0*x - 2*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1157, -1158, -1159, -1160?\n\"Answer: -b - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 65 = -x. Let p = 61 - x. Suppose 2*q - 3*j - 41 = 6, 5*j = -4*q + 39. What is the highest common factor of p and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3)*37\/(70448\/(-84)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - -16)*1\/(-4)*-2. Let r(l) be the first derivative of -1\/9*l**3 - 3 + 0*l + 0*l**2 - 1\/12*l**p. Solve r(s) = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-54 - -20) + -14 - (3 - 9)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 6*4\/(-8). Let d(g) = -c*g**2 + g**2 + 4*g**2. Let y(o) = o**2. Determine y(d(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29436 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2. Let h(c) = c + 4. What is f(h(y))?\nAnswer: 6*y**2 + 48*y + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1177*l - 3563. Calculate g(-5).\nAnswer: 2322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 825444 and 4860.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z = -19*z - 91 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 5:03 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 2*w - 4. Let q(o) = o. Let a(g) = -2*q(g) - r(g). Let n be a(-4). Let l be -6880*(2 + 17\/n). Round l to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - b - 26 - 7, -4*b - 20 = -4*p. Determine i so that -2*i**4 + 48*i**2 - 2 + 7*i**4 + p*i**4 - 45*i**3 - 4 - 9*i = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100101 (base 3) in base 12?\nAnswer: -ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395300987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 10. Let w be s(-6). Let d(i) = i**3 + 5*i**2 + 10. What is the remainder when d(0) is divided by (6 - (w + 0))*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eetz when four letters picked without replacement from zettne.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000136353 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130695 and 3915?\nAnswer: 34111395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-20)\/8 - 3). Let g(t) = 5*t - 5. Let x(n) = 24*n - 25. Let j(y) = z*g(y) + 2*x(y). Differentiate j(v) wrt v.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4361 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.11586 * 0.2.\nAnswer: -0.223172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 12*g + 468 = 0. Let z = g - 22. What is the greatest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19781 and 302.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -60 + 158. Solve -u*g + 5*g = -45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*b + 2865587 - 1034420 + 884929. What are the prime factors of b?\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, t: 3}. What is prob of sequence tt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 811 = 307 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -7. Let x(a) = -a**2 - 5*a. Let g be x(w). Let h be g\/(-8) - (-1 + 3). Which is greater: h or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:09 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -167*q + 3*q**3 + 3*q**2 + 161*q - 2*q**3 - 3. Let l be m(-4). Let b(y) = -y**2 + 5*y - 4. What is b(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 7976.\nAnswer: 39880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4487 = 5*l, -2*l - l - 3345 = -3*p. Let d = p - 41. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 less than or equal to 478\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4 - -5 - 5 - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21390*l**3 + 34994 wrt l.\nAnswer: -64170*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/6 - 55462*z\/3 - 3407312 = 0.\nAnswer: -184, 111108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 19 - 13*c**2 - 46.\nAnswer: -13*c**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1458733 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 + 5292*w**3 - 653463*w**2 + 11728122*w + 12386880 = 0. Calculate w.\nAnswer: -1, 23, 110, 1632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -263 + 129474958.2.\nAnswer: 129474695.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 5*v + 4. Let l be f(3). Let a = l + 3. Suppose -h + a + 5 = 0. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2674 + 2680.974. Let r = h + -5.98. Let w = r - 1. What is w rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8412 minus 1.046613678?\nAnswer: -8413.046613678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41.3 - 38. Let o = -3 + d. Which is the smallest value? (a) o (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 508974 and 492?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3835, 10035, 20347, 34753, 53235, 75775, 102355, 132957?\n\"Answer: -3*s**3 + 2074*s**2 - s + 1765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -0.926?\nAnswer: -3.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 28. Let k(x) = -10*x**3 - x**2 + x + 1. Determine k(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 3132, 0.05, -1\/7, 2\/5 in descending order.\nAnswer: 3132, 2\/5, 1\/5, 0.05, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/432 and 7\/180?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - b**2 + 1. Let q(x) = -x**2 + 6*x - 4. Let u(p) = q(p) - 3*z(p). Let h be u(1). Solve -h*d + 4 - 14 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**3 + 6*j**2 - j. Let l(z) = -z**3 - z - 1. Give -a(y) + l(y).\nAnswer: 3*y**3 - 6*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 17 - 13 - 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2259.208 rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:15 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 17. Let r be i(-4). Let s be (-1)\/r*(4 + -10). Which is the third biggest value? (a) 3\/2 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 + 59. Suppose 3*u + u + 5*y - v = 0, 2*u = -4*y + 70. What is the remainder when u is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -201 (b) 0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 5) + 4 + -6. Let z(l) = 0 - l + 1 - 2. Let j be z(m). Solve 3*v + 1 = -j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2 - 2 + 1. Let o(d) = -3*d - 5. Let x(h) = h**3 - 6*h**2 + 8*h - 16. Let g be x(5). Give g*o(b) - 6*n(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.043 + 452.043. Let p = 77944.06 + -77492.0393. Let n = i - p. Round n to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2151 = w + 2*y, 13*w = 12*w + y + 2145. Does 33 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-148)*48*((-80)\/(-4))\/(-80)\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 574704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/107 in -0.3, -2, -2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66861777 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j - j)*(47*j**3 + 183*j**3 - 44*j**3) - j**4 + 1 - 1 + (0 + 0 + j**3)*(4*j - j - 5*j).\nAnswer: -375*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/(13\/(-65)). Let l be 1\/g*(-12)\/(-42). What is the nearest to -1 in -0.3, l, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 6 = 5*w, 0 = 10*w - 7*w + d + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 6:52 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -179, -734, -1657, -2948, -4607?\n\"Answer: -184*v**2 - 3*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82973.\nAnswer: 11, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4\/11 - 1268*l**3\/11 - 8974*l**2\/11 = 0. Calculate l.\nAnswer: -7, 0, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -159\/70070 and -153\/1820.\nAnswer: 140140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38835, 154093, 346191, 615129, 960907, 1383525, 1882983?\nAnswer: 2459281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14927*f + 29859*f - 14932*f + 37839*f**3.\nAnswer: 37839*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3922*v. Let x(c) = -164 - 164 + 18*c + 328 - 16*c. What is k(x(j))?\nAnswer: -7844*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*p + 458 = -0*p, 2*b - 200 = -5*p. Calculate the common denominator of 95\/b + 4 - -3 and -5\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 227*s - 687. Let q be d(3). Put -5, 1, q, 0, 19 in descending order.\nAnswer: 19, 1, 0, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 6*n)*(24*n - 24*n + 10*n**3) - 4*n**4 + 3*n**4 + 4*n**4.\nAnswer: -57*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 24306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16011 is divided by 101?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4\/9 - 50*x**3\/9 - 412*x**2\/9 - 1240*x\/9 - 400\/3 = 0.\nAnswer: -10, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/13919 and -38\/4005529.\nAnswer: 124171399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 2*v + v)*(13*v**2 - 44*v**2 - 55*v**2) to a*v**2 + k + g*v**3 + d*v and give g.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.2869315 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -3.17, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15456 or 15457?\nAnswer: 15456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 9*w. Let s(n) = n**2 + 4*n. Suppose 8*r + 44 + 28 = 0. What is r*s(p) + 4*g(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = -3*m, 0 = a + 4*m + 803. Let r = a + 802. Which is smaller: r or 32?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6.971. Let y = t + -0.07. Let u = -0.223 - y. What is u rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58777, -117554, -176331, -235108, -293885?\nAnswer: -352662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/17628007 and 49\/3253?\nAnswer: 17628007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 2*v - 1617. Let s(f) = 5*f. Determine s(q(u)).\nAnswer: 20*u**2 + 10*u - 8085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/(sqrt(12)\/sqrt(2)) - sqrt(104)\/(sqrt(32) + sqrt(8)))*-3)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-4) - 3\/(-4). Let d = -1 - r. Suppose 1665 + 2335 = -d*n. What is n rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4612.5368 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 11. Let k be i(5). Suppose 5*z - 5*j = -0*j - 55, 19 = -z + 5*j. Let b(r) = r + 15. Let f be b(z). Solve 0 = -k*u + 3*u + f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3301012 + -20?\nAnswer: -3301032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/1589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 33 = -3*m, 3*m - 2*y - 3*y = 43. Let a = m - -11. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 + -233.128. Let r = 0.74 - s. What is r rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7598 divided by -550.\nAnswer: -3799\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - 0) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/675 and 49\/33?\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5864 + 5878 + (-1 - -56)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26333?\nAnswer: 17, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48202 - -134565. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 2*n**2 + 2*n - 5*n + n**2. Suppose 16 - 18 = -2*c. Let d(q) be the first derivative of -q**4\/2 - 2*q**3\/3 - q**2 + 4. What is c*d(r) - 2*g(r)?\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 + 24*k - 3. Let p(f) = -f**2 + f - 1. Let m(v) = -5*p(v) + w(v). Let q be m(-2). Solve -4*r + q + 4 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 788 divide 1440391504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13302201 - -4?\nAnswer: -13302142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (-5 - (-5 + 4)) + 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 40 = -5*w, 4*w = 3*o - 32 + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*z + 73 - 1303, -5 = -m. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-196)\/(-12) + (-2)\/(-3). Let q(a) = -3*a - 8. Let p(g) = 10*g + 25. Let l(s) = -2*p(s) - 7*q(s). Let j be l(-6). Put 5, j, b in descending order.\nAnswer: b, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -378 > -378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3015*v = 3010*v - 3*s + 12644, -v + 3*s + 2536 = 0. Is v a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-288)\/(-21)) + 14\/28.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:00 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23100 - -40577. Suppose -3*g - o = -3077. What is g rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + d = -2 + 19, 70*o + 7*d + 41 = 74*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 11*f + 14. Let j be n(10). Suppose -j*c + c + 1128 = 0. Suppose 4*s + 640 = 5*h, -3*h = 2*s - 6*s - c. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let f be 12\/(-4)*(-2)\/(-3)*-2. Let a(n) = 83 + f*n - 83. Give -a(j) - 3*t(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 + 3*j**2\/2 - j.\nAnswer: -j*(j - 2)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 2. What is q(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - k. Let z(w) = 46*w**2 + 3*w. Determine -2*h(d) - z(d).\nAnswer: -44*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 55*c**2 + 1154*c - 5036. Determine b(-72).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 108622479 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 3*v**2 + 2*v**2. Let f(a) be the third derivative of -a**5\/120 - a**3\/3 + a**2. Let l(b) be the first derivative of f(b). What is z(l(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, h: 7}. What is prob of sequence bbh?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*h - 44*h = -52. Let w(f) = -3025*f**3 - 225*f**2 - 225*f. Let s(d) = -27*d**3 - 2*d**2 - 2*d. Determine h*w(n) + 225*s(n).\nAnswer: -25*n**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14807148.\nAnswer: 2, 3, 1233929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -531420.\nAnswer: -1594260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1*((sqrt(8))**2 - sqrt(2)) + -5 + sqrt(32))*-6 - (sqrt(160)\/sqrt(5)*-6*-1)**2.\nAnswer: -1170 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1990 + -1058. List the prime factors of g.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 6, w: 3, q: 1, t: 4, u: 2}. What is prob of picking 1 l, 2 n, and 1 w?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 5:37 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2409090 and 2168181?\nAnswer: 21681810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23922, 23927, 23930, 23931, 23930?\nAnswer: 23927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 259 (c) 3 (d) 559\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 1, j: 2, v: 1}. Give prob of sequence nq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 5254*v\/7 - 42572.\nAnswer: -2*(v - 2569)*(v - 58)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, e: 1, c: 1, v: 1}. Give prob of picking 1 e, 1 c, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y - 6 = 2*d, -2*y = -2*d - 6. Is y less than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2501120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - -0.2. Let m = 50 - 49. Let l be 1\/m*(-6)\/(-2). Which is the nearest to g? (a) -2\/13 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/4, 5\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110)*1*-4 - 6*sqrt(110)*1)\/(sqrt(40)*-1 - sqrt(110)\/(sqrt(55)\/sqrt(5))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-8\/7)*k\/(k*(k**(4\/7)\/k)\/k*k))**(-2\/19) assuming k is positive.\nAnswer: k**(-36\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1209.88 to the nearest ten.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8821277 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1593 - 1594. Which is the closest to m? (a) -2 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279899 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzzzjjzzjjjjnjnjzjz. Give prob of picking 2 j.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -43, -41, -37, -31, -23?\n\"Answer: g**2 - 3*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1156122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 857*n**2 + 1 - 350*n**2 - 2*n + 2*n as p + a*n**2 + r*n and give a.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzd when three letters picked without replacement from {g: 2, m: 1, d: 2, q: 6, z: 1, c: 5}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q - 11*q = 23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 11*n + 6 = 0, 6*g + 7 - 12 = -4*g + 2*n + 39 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 823 and 5?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s - h, -3*h - 2*h = -4*s - 16. Let n(b) = -b**3 + 3*b - 45. Does 19 divide n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965.9 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 17*a + 2. Let x(p) = 4*p**2 + 33*p - 3. What is 7*l(g) + 4*x(g)?\nAnswer: 2*g**2 + 13*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*a - 936 = 15*a + 422. Let i(b) = -b**2 - 16*b - 11. What is i(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4))**(1\/9))**(-34) assuming n is positive.\nAnswer: n**(17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -17*k**2 - 36*k + 9. Let g(r) = -4*r**2 - 8*r + 2. Let v(u) = -9*g(u) + 2*n(u). Let a(w) = 2003*w. Determine a(v(c)).\nAnswer: 4006*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 2*a + 0*a)*(a - 3*a + 0*a + (5 - 4 - 3)*(-19 + 6*a + 19) - 8 - a + 8 + (-3*a + a + 0*a)*(-5 + 5 + 2)) in the form b + g*a**2 + s*a and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 35781*y**4 + 4*y**3 - 35724*y**4 - 31 + y**3 - 3*y**3 in the form z*y**4 + r*y**2 + t*y + v + c*y**3 and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002451 rounded to seven dps?\nAnswer: -0.0000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = 2*p - 2, 0 = p. Let o = -3 - -5. Let q = o + g. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3066 - 23045*n**4 + 45008*n**4 - 23795*n**4 with respect to n.\nAnswer: -7328*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -33, 2, -9, 1 in descending order.\nAnswer: 2, 1, -1, -3, -9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 83. Let d = n + 5. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*p + 61*p - 38*p)*(6*p - 3*p - 5 + 4) to w*p + t + x*p**2 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 597877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2269 = 2*z, -2 - 10 = 4*q. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 - 10\/4) + (-118)\/(-54) and -67\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/4*45\/(2430\/(-36))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 4*b + 10*b**3 + 12*b**3 - 31*b**2 + 31*b**2.\nAnswer: 23*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2ee (base 16) to base 11\nAnswer: -622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 133475.79 hours?\nAnswer: 794.49875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 4}. Give prob of sequence znz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Suppose 0 = 5*f - 2*f - 6. Let b(j) = j + j + f*j - 5*j. Determine y(b(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -71, -275.\nAnswer: -275, -71, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6 + 3 + 0 - 1 + (-3 + 2 + 0)*(6 - 1 - 3))*(-2*u - 4*u + 0*u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76943 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 96.8. What is r rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - z - 8 = 20, 2*z - 4 = 0. Let o be ((-64)\/10)\/((-3)\/d). Let s = 90 + o. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*p + 151, -q - 152 = -3*q - 4*p. Let v = q + -22. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4 - 135*f**3 + 970*f**2 + 1395*f + 286 = 0 for f.\nAnswer: -1, -1\/4, 13, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276012 and 25784.\nAnswer: 161743032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117878 is divided by 90.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24004114715430 less than 14?\nAnswer: -24004114715416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81574*n = -81599*n - 4*a - 505, -2*a = -10 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 33*w + 33. Give j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40934, -81844, -122754?\n\"Answer: -40910*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 70598.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:04 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -9*s + 11*s. Suppose 5*q = -s*y + 14 + 16, -4*q - y = -24. Solve -3*p = 9, 20 = k - q*p + p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22838*d + 1083023 - 216833 = -1120716 for d.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:42 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000676 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/114 and -107\/270.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 388 or -1\/814?\nAnswer: -1\/814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*g + 2)*(-4*g**3 + 4*g**3 + 3*g**3) + (-146 + 146 + 18*g**2)*(6*g**2 - 4*g**2 - 4*g**2).\nAnswer: -42*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-10995)\/2142 + 2. Let s = -78\/29 + 7985\/2958. Let z = l - s. Sort 2\/15, 2\/13, z, 3 in increasing order.\nAnswer: z, 2\/15, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2064 and 125\/14448.\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2154.32 - -2154. Let x = -0.18 + j. Let q = -3 - -1. Which is the nearest to -1\/3? (a) x (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 6 + -3 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 18 = -3*h. Let p = 9 + h. Suppose 22 = 3*k + 4*b - 18, p = k - 3*b - 22. Solve -3*a + 1 = 2*s, -2*s = 2*s + k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 6*r**2 + 9*r - 10. Let t be w(7). Let q = -2 + t. What is the derivative of -16 - q*h**2 + 10 + 10 wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - -3417869?\nAnswer: 3417892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 15*j**2 - 14*j + 9. Is a(14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**4\/24 - 5*h**3\/6 + 45*h**2 - 9*h. Calculate a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 127*s**3 - 9*s**2 + 87*s - 27. List the prime factors of a(6).\nAnswer: 3, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -669\/4 - -168. Let n = -4385.3 + 4385. Which is the nearest to -1? (a) y (b) -7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2086*p**5 + p + 12903 wrt p?\nAnswer: -41720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m + 4. Let x be s(0). Suppose -x*r + 480 = -260. Let y(n) = -185*n + 9*n**2 + r*n. Let g(i) = i. What is g(y(c))?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -64*x**2 - 5*x - 6. Let r be v(-2). Let g be (-144)\/r*49\/2. Solve -83 + 13 = g*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198872 + -198814. Suppose 5*q + 4*b - 423 = 0, 26 + 73 = q - 4*b. What is the highest common divisor of x and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2893*p - 16957. Determine s(-6).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 815*t**3*y + t**3 + 110515*t**2*y - 35*t + y - 603885 wrt t.\nAnswer: 4890*t*y + 6*t + 221030*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-160)\/60*(18 + 0). Let p be (-24)\/d + 3\/(-12). Suppose 0*s - p*s**3 + 0*s**2 - s**4 + 5\/4*s**5 + 0 = 0. Calculate s.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*x = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057 times -874?\nAnswer: -49.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -36. Let u(x) = 9 - x + 3*x - a*x - 10. Let r be u(-6). Is r > 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/1213 (b) -0.0767 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**44)**6 assuming g is positive.\nAnswer: g**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0261 + -54.3739. Round h to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/56)\/((-60)\/(-840))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 - 6 = 0. Suppose 3*c + 2 - t = 0. Suppose -3*m = -4*w + c, 0*m + 2*w = 2*m - 2. Solve -2*o + 5*u = -5, -m*u = 2*o - u + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.3 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450190 and 6292?\nAnswer: 108945980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 5*o - 2*o - 4*b, o + 3*b = -26. Let d be (-3)\/(-7)*o\/(-20). Factor 15\/4*c**4 + 15\/2*c**2 + d - 3\/4*c**5 - 15\/2*c**3 - 15\/4*c.\nAnswer: -3*(c - 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 44197?\nAnswer: -44199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291661 is divided by 5311?\nAnswer: 4867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from okkokjjjkkkkkokjkk?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69 + 36240?\nAnswer: 36309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000100000 - -110101100?\nAnswer: 100010111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 743568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/159494 and 23\/1224.\nAnswer: 5741784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((21\/(-30))\/((-1176)\/224))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 2, t: 2, r: 8}. Give prob of sequence rdr.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 2 (b) -4 (c) 1 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*l**3)*(5*l**2 + 0*l**2 - 3*l**2) + (2*l**2 - 5*l**2 + 2*l**2)*(-l**2 + 3*l**3 + l**2).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 6. Let a be h(-6). Let r(s) = s**2 - s - 36. Let l be r(a). Let b = 40 + l. Solve -3 = -5*m + 5*c + 17, 0 = 5*m + 3*c - b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 54452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -15, -14, -13, -12?\n\"Answer: n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15529712.\nAnswer: 2, 11, 88237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3. Let g(p) = 5*p**3 - 6. Let i be ((-54)\/24*2\/6)\/(15\/(-80)). Determine i*z(h) + g(h).\nAnswer: h**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 102\/(-14) - (29 - 57 - -21). Sort h, -1, -153, -3 in ascending order.\nAnswer: -153, -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -248634, -1, 4 in descending order.\nAnswer: 4, -1, -20, -248634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -75.4. Let s = 4.8 + -5. Is c >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18. Suppose -7*l + 0*l + 651 = u. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.41 - 0.0659546?\nAnswer: -9.4759546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460488 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*h**2 - 42*h + 42*h)*(-4 + 6 - 2 - 9 - 2*h).\nAnswer: -208*h**3 - 936*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 57*j + 36 = 54*j, -j + 2 = 4*o. Factor -16\/3*h + 11\/6*h**2 - 2\/3 + 121\/2*h**o.\nAnswer: (3*h - 1)*(11*h + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9 + 5)\/1 - (-1 + 1). Let v be 82\/((-1)\/(-6 - h)). Find the third derivative of v*g**5 - 177*g**5 + 27*g**2 + 1 - 1 wrt g.\nAnswer: -780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6742, -6744, -6748, -6754, -6762, -6772?\nAnswer: -6784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15259, -30713, -46167, -61621, -77075?\n\"Answer: -15454*a + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*l - 1. Suppose 0 = -5*n + 3*n - 5*q + 22, 0 = 3*q - 12. Let k be n\/(-2) + (-39)\/(-6). Solve 0*i - k = l*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.591 - -1.491. Which is the third biggest value? (a) l (b) 0.4 (c) -21 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 2, -12 in ascending order.\nAnswer: -12, -9, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 78\/(-9)*((-10440)\/377)\/30. Suppose -5*b + 1 = -29. Solve -b*s + m*s + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56805189*o**3 + 35425508*o?\nAnswer: 340831134*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143826 - -206567. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s + 936. What is z(-110)?\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**3\/6 + 3*m**2 - 20*m - 1. Calculate w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 - -130. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12411137 equal to 12411189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*w + 1024365 = -1391708. What are the prime factors of w?\nAnswer: 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 l, and 1 a when four letters picked without replacement from {d: 1, a: 1, h: 2, l: 1, o: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 12 = j, -5*j - 5*f + 27 = -j. Suppose j*a - 269 = m + 108, 389 = 3*a + 2*m. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5100720?\nAnswer: 2, 3, 5, 53, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157500917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13146650 and 177?\nAnswer: 2326957050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, 3, -143, -9, 4, -4 in ascending order.\nAnswer: -143, -9, -4, 1, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-1 - 102 - (-354 + 342))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -311 + 0?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11. Let z(r) = -2. Let f(n) = -k(n) - 6*z(n). Let w(m) = -m - 11. Let x(y) = -6*f(y) - 3*w(y). Find the first derivative of x(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 41*q = 38*q - 5, 0 = f - 4*q - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4608 and 2353248?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 5. Which is the third smallest value? (a) 0.4 (b) 4 (c) p (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**7\/17640 + y**6\/5040 + y**4\/24 - 3*y**2. Let c(s) be the second derivative of t(s). Factor c(g).\nAnswer: g*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*i**3 - 144\/7 - 136\/7*i - 4*i**2.\nAnswer: 2*(i - 18)*(i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 12*n**3 - n**2.\nAnswer: 12*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(-4)*j)\/j*j*j)\/(j\/(j*j**(-1\/10))))\/(j**1)**37)\/((j*j**6)\/(j*j*j**(2\/9)))**(2\/49) assuming j is positive.\nAnswer: j**(-133601\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w**2 + 11 - w**2 - 12*w + 4 - 2*w**2 = 0. What is w?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1371811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2. Let w(h) = h**2 + 7. What is a(w(d))?\nAnswer: 4*d**4 + 56*d**2 + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 508 and 1397.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -383, -571, -759, -947, -1135?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 399404 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 3 - 18 - 10*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**2 - 27*d - 15. Let x be y(16). Solve -x - 3 = -3*w - 2*c, 5*c = 3*w + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-65 - (-16 + -2 - -25) - 5).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = -2*j + 24, -3*k - j + 14 = 0. Solve 0 = -3*u - k*v, 2*v - 4*v = 3*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*y = -3*i + 3, 0 = -4*y + 12. Suppose -4*q = -w + 7, w - i*w + 4*q + 99 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 2. Let l be (-98)\/(-7)*(-2)\/(-7). Let p(y) = 206*y**2 - 2*y - 189. Let d(o) = l*s(o) - p(o). Find the second derivative of d(f) wrt f.\nAnswer: -412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (116 - 94 - (-5 + -16)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/14 + (4290\/(-70))\/(-1) is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16462727 (base 8) in base 15?\nAnswer: -508e8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -62513443 (base 7) to base 15\nAnswer: -6deb9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 - j + 4. Let m(h) = -45*h**2 + 6*h - 8. Let n(k) = -100*k**2 + 13*k - 17. Let t(b) = -9*m(b) + 4*n(b). Calculate -3*i(x) + 2*t(x).\nAnswer: -8*x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.65 - -1.35. Which is the nearest to 10? (a) 1\/7 (b) 1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26038505 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 3 + 0*m**2 + 0*m**3 + 2\/35*m**5 + 0*m**4 + 0*m. Suppose v(t) = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.2 + 5.7. Let j be (4\/(-6))\/((-8)\/12). Let f = 0 - j. Which is the nearest to f? (a) -1 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27261 is divided by 384.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 22002.569 to the nearest 100.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -11. Suppose t - k + 5*k = l, 5*k = -4*t + 25. Suppose 1\/6*a**3 + 0*a**2 + 1\/3*a**4 + 0 + 1\/6*a**t + 0*a = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.6 (b) -2 (c) 3.5 (d) 4 (e) -2\/7 (f) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 4:27 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18150 and 6776?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -319*s**8\/336 + 1663*s**5\/60 + 2*s**2 + 9. Find the third derivative of i(o) wrt o.\nAnswer: -19140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 6*c - c)*(0 - 1 + 2) + (-1 + 1 + 2)*(-3*c + c + 0*c) + c + 0*c + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20238776 is divided by 62082.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 952*s**2 + 1.\nAnswer: 952*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2864797 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**4 - 7195*b**3 - 340690*b**2 - 1276260*b - 1247400 = 0.\nAnswer: -42, -2, 1485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -769 + v + 0*v - 8*v + v + 2*v as u + t*v and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 7*o**2 + 16*o + 34. Let u be d(-5). Suppose i + 2 = -0*i - 2*n, 2*n - 10 = -u*i. Factor 0 + 2\/9*t**i + 0*t + 4\/9*t**3 + 2\/9*t**2.\nAnswer: 2*t**2*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-15))\/(4\/(-70)). Let m = k + 21. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/6)\/((8\/(-16))\/1). Let b(v) be the third derivative of 0 - v**3 - i*v**2 + 0*v + 3\/8*v**4 + 1\/10*v**5. Factor b(h).\nAnswer: 3*(h + 2)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -997*m + 987*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2. Let o(t) = 697*t. Determine o(n(k)).\nAnswer: 697*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 9*m + 5*m**3)*(0 + 0 - 1) + 0 + 4 - 2*m**3 + 4.\nAnswer: -7*m**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, a: 7}. What is prob of sequence ap?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -31. Are 5 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -20*k + 64. What is the units digit of o(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.43 + -10.73. Let g = 2.6 + -0.6. What is the nearest to -6\/19 in b, g, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0154042 rounded to 5 decimal places?\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from vvddzuvqzvzdumzdvmv?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 501b - 3?\nAnswer: 5018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -557 times 2.4\nAnswer: -1336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 2*k + 1. Let p be n(1). Let l be (6 - (-1 - p))*1. Solve -4*v + 5*z = -45, -8 = 3*z + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49933837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 + 1664800*g + 6659136 = 0.\nAnswer: -416196, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 5, 3, -24 in decreasing order.\nAnswer: 5, 3, 2, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18846232 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97424 is divided by 3608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-44) + (-4760)\/(-44). What is the greatest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (1 + 2) - 3 - (39 - 55).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 - j**2 - j. Let k(m) = 5*m**3 - 56*m**2 - 5*m - 1. What is k(x) - 5*n(x)?\nAnswer: 20*x**3 - 51*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 5. Suppose -3*h + h + 2 = 0. Let u = h + 2. Let y(z) = -11. Let f(n) = -5. Let t(c) = -2*f(c) + y(c). Determine u*r(j) - 15*t(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 72 = 0. Let q = l - 6. What is the highest common divisor of 96 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17139 = v - 2*s, -2*v - 4*s + s - 34292 = 0. Let b = v - -28643. What is b rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 - 22*r**3\/5.\nAnswer: 2*r**3*(r - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -469 divided by 5?\nAnswer: -469\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -27. Solve 0 = -2*q - c*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 3*w**3 - 3*w**3 - 3*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 3, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1351 (base 14) to base 5\nAnswer: 102103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -277\/143 + 23\/11. Which is the closest to -2? (a) s (b) 5 (c) -7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 6*w - 3. Let g be p(-7). Let k = 67 - 39. What is the highest common divisor of g and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**6\/60 - c**4\/24 - 3*c**2\/2 - 2. Let a(p) be the second derivative of k(p). Find the second derivative of a(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.3 in -3, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 8*x**3 - 162*x**2 - 58*x**2 + 220*x**2.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 1264056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.092 - -0.0920141. What is f rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d, 16 = -2*o - 5*d. Let i be (o\/(-20))\/((-19)\/5). Is i at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -16*j - 4*a + 1568, -3*j + 4713 = 3*a. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let l(d) = d**2. Let y(p) = -20*p**2. Let o(s) = 8*l(s) + y(s). What is h(o(t))?\nAnswer: -288*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 25. Suppose 2*n - 2 = -4*g, 5 = -2*g - 2*n + 1. Calculate the highest common divisor of p and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/17, -5\/171, 1, 5, -2 in decreasing order.\nAnswer: 5, 1, -5\/171, -6\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 12:46 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 57 = 21. Suppose a*d = 115 + 110. Solve 5*g = -2*w - d, -4*w - 4 - 1 = g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-18)*(-1 + -2)*239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*k - 2016*k**3 + 114*k.\nAnswer: -2016*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 5, u: 3}. What is prob of sequence mzmm?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/10)\/(48\/40). Let j be 2*1 - -46*(-5)\/10. Sort 5, b, j in descending order.\nAnswer: 5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7}. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140*-1.67.\nAnswer: -233.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 121 = -6*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 10*f**2 - 10*f + 18. Calculate the least common multiple of g(9) and (-4)\/((-7)\/(42\/8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v - 5*j - 121 = 0, 5*v - 175 = 3*j. Let k = 35 - v. Let c(d) = d - 3. Let u(t) = t - 4. What is k*u(n) - 4*c(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225743, -451485, -677227, -902969, -1128711, -1354453?\nAnswer: -1580195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/7))\/a*a**8*a)\/((a*a\/(a\/(a**(-1\/2)\/a)))\/a*a**0))\/((a\/a**(-1))\/a**(1\/4)*a**(-3\/5)*a**(-1\/4)) assuming a is positive.\nAnswer: a**(331\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/((2\/14)\/(375\/150))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -420 (c) -26282\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*u - 24, 3*y - 24 = 4*u - 0*y. Let o = u + 6. Suppose 4 = c - o*c. Solve f + 0*g = -g, g = f + c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwswwwswswwsww. What is prob of sequence ssww?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17314 - 9744. Does 58 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -20, -47, -94, -167, -272, -415?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 3*p - 1, -150*p = 12*c - 151*p - 57 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 11, r: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000431 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-154) + 4\/(-14). Let m be (-58)\/10 + 8\/2 - -1. Let i = 47 - 140\/3. Which is the closest to i? (a) k (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 49 = -2*r + 4*o, -4*r - 4*o = -28. Which is smaller: r or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4960600 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-2) - -2)*-4. Let t = 31 - 22. Suppose g + 2*g - t = 0. Which is greater: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1102161 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1404)\/(-198)*(27489\/(-784))\/51\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000105184 rounded to six decimal places?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 266190 divided by -1\nAnswer: -266190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 31414348?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndneeeeeddmmmdddddd. Give prob of sequence de.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 64. What is the biggest value in 5, 0.07, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*223300\nAnswer: -334950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + p - 2*p + (-p - 3*p + p)*(1 + 2 - 4) + 0*p + p - 2*p + (-4 - 3 + 5)*(-2*p - 1 + 1) + 3 - 3 + 2*p to y*p + t and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102800 and 800?\nAnswer: 205600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 699229215 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 43*v + 296 = 0, -v + 42 - 35 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -80*i - 395. Let h(d) = d**2 + 20*d + 70. Let v be h(-15). Let m be w(v). Let c(x) = -x**3 + 6*x**2 - x - 3. Determine c(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (149 + (46 - 108))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 641959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -21. Suppose 4*u = u - n + 13, 5*u - 2*n - 7 = 0. Solve -5 = -u*f + h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2757067.\nAnswer: 47, 58661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22724.\nAnswer: 2, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*q**2 + 32*q + 684?\nAnswer: 108*q + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + c + 61. Give g(0).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -339.5229802 rounded to two dps?\nAnswer: -339.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313 + -1249\/4. Let g = -1\/18 + 29\/36. Find t, given that -3\/2 + g*t + r*t**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 1236 = -92*u. Calculate the least common multiple of 2240 and u.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.700067 rounded to 1 decimal place?\nAnswer: -180.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -24. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/5 - -1\/10. Let y = -0.6 - 0.1. Which is the second smallest value? (a) r (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 14*o - 10. Let b be n(15). What is the second derivative of -344 + 166 + 175 + 47*x**b + 3*x wrt x?\nAnswer: 940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 116\/638 + (-1 - 647\/(-11)). Suppose -r*x = -39*x - 13737. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by 6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7*a - 6558 = -6*j, 3914 = 3*j + a. List the prime factors of j.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l. Let f(j) = -183*j. What is f(m(g))?\nAnswer: -366*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w + 157*w + 79*w as a + q*w and give q.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280 is divided by 119?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(77))\/sqrt(7))**2 + (sqrt(99)*-6)\/sqrt(9).\nAnswer: -6*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4 + 3530*t**3 + 1060896*t**2 + 3158008*t + 2100640 = 0.\nAnswer: -1382, -380, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*j - 156, -4*j - 2*y + 126 = -0*j. Let n be 0\/(-2) - (3 + -5). Suppose n*t - 2 - j = 0. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311242200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19 - 201 - 3*r**4 + 652 + 104*r**3 with respect to r.\nAnswer: -12*r**3 + 312*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2 + 23*i - 36. Determine u(7).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (852\/8)\/(55\/10 + -6). Is -212 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43068*c**4*g**2 - c**4 + c*g**2 - 145284*g**2 + g wrt c?\nAnswer: -516816*c**2*g**2 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6218274*d. Let f(p) = -p. What is i(f(v))?\nAnswer: -6218274*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, 3, 2.\nAnswer: -2, 2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -11*g + 5*a + 12549, -3*g + a + 9398 = 0. Let i = 28231\/9 - g. Find the common denominator of i and (-151)\/33 - 2\/6.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2))**(13\/3))**(-3\/25)*m\/(m\/(m\/(m**(1\/5)\/m)*m))*m\/(((((m\/(m*m**0))\/m)\/m)\/m)\/m)*m**(-2\/3)*(((m*m**(-3\/4)\/m)\/m)\/m)\/m assuming m is positive.\nAnswer: m**(1093\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 115*a = -118*a + 22, 0 = -5*d + 3*a + 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 222 = -5*q, 464 - 704 = 5*q + 5*b for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 - 14*p + 25*p)*(p**2 + 5*p**2 - 5*p**2).\nAnswer: 11*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 79? (a) -0.1 (b) 2\/5 (c) -1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1 (b) -0.1 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 + 1340395*d\/2 + 1796658756025\/4.\nAnswer: (d + 1340395)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241002 is divided by 1589?\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = 14*w. Factor -11*p**2 + 12*p**w - 4*p**3 + 3*p**2.\nAnswer: -4*p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1560895 and 295005?\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 10 + 9 + 1. Let c = -8 - -26. Let l(f) = 2 - 2 + c*f - 15*f. What is l(i(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m - 89*m - 489 = 151 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 5995, -13, -4, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-3)*a))*a**10\/a*a)\/((a*a\/(a**(-11)\/a))\/a*a**9) assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 - 705*b - 253. Let z be o(104). What is the greatest common divisor of z and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5 - 4*s**4 + 4*s**3 + 2*s**2 - 5*s + 2 = 0. What is s?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -2 + -2 + 7 + 65 + -67?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 3846 and 5.\nAnswer: 3851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 10:28 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjgjqqfqf. What is prob of picking 2 f, 1 q, and 1 j?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t - 3. Let c be u(-3). Let a be 497\/(-5) - 27\/c. What is a rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110795249?\nAnswer: 110795249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 77*l**3 - l. What is the remainder when d(1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.6 * 1.6\nAnswer: 45.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 p when four letters picked without replacement from pysrrysp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*z + 12 - 11 - 1.\nAnswer: 83*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 15*t + 621. Let p(i) = 8*i + 311. Let m(a) = -9*p(a) + 5*x(a). Is 17 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372.72 milliseconds to seconds.\nAnswer: 0.37272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 5.\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1\/18 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k**5 + 62377734*k**4 + 46321219613184*k**3 + 13234629083136*k**2 = 0.\nAnswer: -1485184, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12058, 12152, 12258, 12382, 12530?\n\"Answer: r**3 + 87*r + 11970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29\/26 + 252\/13. Let a = -37 - -519\/14. What is the common denominator of a and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 i when four letters picked without replacement from {v: 8, i: 3, r: 5}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -0.2, 2, 5, 2\/7 in descending order.\nAnswer: 5, 2, 2\/7, -0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2 = -4*x - 2, 2*x - 3*q = 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 21*s - 787. Let m(t) = t**2 + 3*t + 1. Let q be m(-4). What is the remainder when (-183)\/(-6) + q\/10 is divided by u(38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/4, -6, -174, 4, -1\/3 in ascending order.\nAnswer: -174, -6, -1\/3, 1\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-59194)\/7480) + 16\/440.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.081495254 to four decimal places.\nAnswer: 0.0815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -15202.49756 to the nearest 100.\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-41)\/q)\/q)\/q*q**18\/q)**(4\/33) assuming q is positive.\nAnswer: q**(-36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zllzzz. Give prob of sequence zzll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**8\/42 + 3*i**4\/8 - 8*i**2. What is the second derivative of j(g) wrt g?\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x - 241. Determine g(-33).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4005 and 63.\nAnswer: 28035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 2*y**2 + y + 1. Let n be j(2). Let o = 24 + -24. Is o < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.32. Which is the third smallest value? (a) -3 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -213 + 1008. Let b = 1055\/4 + j. Is b at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82.76043109 + -70039.76146109. Let t = 69871 + x. Let y = t + 86. Round y to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-32)*(-4)\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/35 - (-12)\/(-28). Let s = 1168 - 26860\/23. Is n != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -283, -619, -979, -1363?\n\"Answer: -12*m**2 - 300*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 83*y**2 + 41*y - 34. What is v(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 2. Let d be h(-5). Suppose 3*j - 1155 = -3*m, j + 1151 = d*m + 5*j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 19. Suppose -w = 4*a + 4*w - 7, -a - 2*w + r = 0. Suppose 0 = 5*q + a*v - 200, -2*v + v + 40 = q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042304 rounded to 4 decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*m = -29, 8*o + 3*m - 29 = 3*o. Suppose -o*q = -q - 12. Solve -2*v + u - 8 = 0, v + 20 = -4*v - q*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -166*y**2 + 6*y + 1. Let k(o) = -168*o**2 + 8*o + 1. Calculate -3*k(h) + 4*m(h).\nAnswer: -160*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-2*-1)\/(sqrt(968)*1) + ((sqrt(104) + sqrt(104)*2)*-4)\/(sqrt(512) - (sqrt(512) - (sqrt(512) - (sqrt(512)*-1 - sqrt(512) - sqrt(512))))).\nAnswer: -17*sqrt(13)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234413444 (base 5) to base 11.\nAnswer: -68627a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v - 47*v + 417336 = -66*v. Is 143 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375658 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-8)\/48*(399\/14)\/(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 13*s + 97. Give h(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 432494?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 39 - 13)*(-1 + v + 1).\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6. Let v be (-1)\/(-2)*(-4)\/(-1). Solve -5*x + v*g + 0*g + 13 = u, 2*g = -2*x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 2*t - 4. Let z be k(3). Let o = -1 + 1. Suppose a - s = o, 3*a + 3*s = 5*s - 1. Do z and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/168)\/((-2)\/(-6)) - 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*n + h + 26, 0 = -2*n - 5*h + 36. What is the remainder when 47 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 10*r**2 - 8*r - 6. Let h be p(9). Suppose -2*m = m - h. Let z(f) = -3*f - 1. What is z(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2943327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (52\/65)\/((12\/15)\/(-2)) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + 0*i**5 - i**5 - i**4 + i**5 - 5*i**5 + 2*i**5 + (0 + 0 - 2*i**5)*(-2 + 4 - 1).\nAnswer: -5*i**5 - i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2895 or -2932?\nAnswer: -2932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3039166 divided by 25.\nAnswer: 3039166\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/12 + p**3\/2 + p**2\/2 - 172*p. What is z(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 84*x - 111. Let o(n) = 41*n - 62. Calculate 9*o(m) - 5*q(m).\nAnswer: -51*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*h**3 + 2280*h**3 - 556*h**3 - 555*h**3 - 576*h**3.\nAnswer: 37*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/7))\/x)**45)**(28\/3) assuming x is positive.\nAnswer: x**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + -1.98. Let b = 6.8 - z. Let h = b + -8.7953. What is h rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170247 + 672464. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (1 + sqrt(252))**2) + 4 + ((sqrt(441)*1)\/sqrt(9))\/sqrt(7).\nAnswer: 37*sqrt(7) + 775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 815683 and 319.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*(1 - 3). Let a(n) = -3 - 4*n**2 - n + r*n + n**3 + 0. What is a(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -5) + -4 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217 + 222. Let g(x) be the third derivative of 1\/12*x**4 + 0 + 0*x - 1\/60*x**6 + 1\/30*x**j + 0*x**3 + 3*x**2 - 1\/105*x**7. Let g(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*1)\/sqrt(4) + sqrt(19))*3 - ((sqrt(931) + -1)*2 + sqrt(931)).\nAnswer: -15*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 9:17 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**7\/5040 - r**6\/2160 - 22*r**3\/3 - 7. Let p(f) be the third derivative of h(f). Factor p(w).\nAnswer: -w**2*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (105\/(-30))\/(-5*3\/(-30)). Which is the closest to 0.3? (a) 2\/21 (b) -0.3 (c) f (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 8*i**2 + 13*i + 8. Calculate n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-11)\/77*-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) - (-38)\/4. Let i be (1*(1 + -14))\/(-1). Suppose 3*s + 6*c = c + g, -2*s + i = -3*c. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04021 + 0.016.\nAnswer: 0.05621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-63))\/((-14)\/(-252)). Factor 22\/3*d**2 - z*d**3 + 0 + 2\/3*d.\nAnswer: -2*d*(d - 1)*(12*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52, 35, 16, -5, -28, -53?\n\"Answer: -j**2 - 14*j + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -16*h + 11. Let o(q) = -3*q + 2. Let l(t) = -11*o(t) + 2*y(t). Let k(a) = -2*a + 3*a + a. Determine l(k(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:27 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17143.\nAnswer: 7, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/4 - 3*w**3\/2 - 33*w**2\/4 + 9*w + 27.\nAnswer: 3*(w - 3)**2*(w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*w + 1450. Let c = w + -190. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449036 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253731*-0.06.\nAnswer: -15223.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355 + (9 - 8) - (-9 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2 - 4*a. Let o be d(-4). Suppose 0 = o*r - 63*r - 17. Solve -4*x + r = 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/9 - 2468*d\/3 + 761378 = 0.\nAnswer: 1851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 15*i**2 + 14839*i - 251686. Give j(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*j**3 - 15*j**3 + 2 + 61*j + 220*j - 4*j**3.\nAnswer: 49*j**3 + 281*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**6\/1440 - c**4\/24 + 68*c**3\/3 - 39. Let f(o) be the third derivative of m(o). Factor f(l).\nAnswer: (l - 2)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1257888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*n = 42808 + 74351, 2*k - 234338 = -4*n. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*((sqrt(700)*3 - sqrt(700) - sqrt(700))*1 + ((sqrt(700) + -3)*-3)**2).\nAnswer: -191430 + 15900*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0*1\/1)\/(-2). Suppose d = -3*l + 9*l - 30. What is the second derivative of 21*b - 6*b + 18*b**l + 0*b**5 wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 351*d*l**2 - 8*d - 2*l**2 + 19 with respect to l.\nAnswer: 702*d*l - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*55\/(-22)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 750 + -341. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4148 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4341690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 4180*i**2 - 240300*i.\nAnswer: 5*i*(i - 890)*(i + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from dko?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 282 divided by -94\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 76.4 and 35.\nAnswer: 111.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44671095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7 = 1. Suppose 4*p + 0*s = -s + 1, 3 = -4*p + 3*s. Solve p*l - d*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -22. Let x(i) = -2 + 7*i**2 - i**2 - 9 - 5*i**2 - 4*i. Does 7 divide x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 9. Let z be p(0). Let n be 2\/8 + 8\/(192\/90). Suppose 2*l - 9 = 6*l + 5*d, 41 = n*l - 5*d. Solve z = -2*i - 5*x, -3*i + 3*x + 6 = l*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7610 is divided by 370.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 402 + -246. Let v = h - 93. What is the highest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -21*p - 8. Let r be d(-4). Let v be (-49199999)\/4 + (-19)\/r. Round v to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 5 - 66*k - 183*k - 2*k**2 + 79*k.\nAnswer: -2*k**2 - 170*k + 109","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1177592 and 58826.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*d + 2589, 12*d = -4*h + 13*d + 3443. Does 43 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/349 - -684\/2443. Let n(y) = y. Let m be n(-6). Let w be (3\/m)\/((-1)\/(-4)). Which is the nearest to u? (a) 4 (b) 2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -15, -33, -57, -87, -123?\n\"Answer: -3*x**2 - 3*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 + 49323*n**2 + 888106*n + 1578912 = 0.\nAnswer: -16, -2, 49341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*l - 9 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182 divided by 394?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16517 - 16511. Solve -l - f = -4*g, -2*l = 84 - 88 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Sort -0.5, c, 1 in decreasing order.\nAnswer: c, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/60 and -37\/4390932.\nAnswer: 21954660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 50\/1946861?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3491, 0, -5, -3\/2, 4, -4 in ascending order.\nAnswer: -5, -4, -3\/2, 0, 4, 3491","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 8*y + 3. Let d be h(6). Let v = 3 - d. Let t = -8 - v. Sort 2, -3, t in descending order.\nAnswer: t, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 6*p**2 + p - 12. Let n be i(-5). Suppose -270*w - 48396 = -n*w. What is w rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1491 = 66*q - 3332 + 1643 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210111100122210120 + -11?\nAnswer: -210111100122210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98770 and 1372784.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 + -25.2. Let n = a - -16. Let i = n - -5.9. Sort -17, i, -2.\nAnswer: -17, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 - 20163*z\/2 - 60543.\nAnswer: 3*(z - 6727)*(z + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 7434. Let m(r) = r - 7. Determine 6*m(u) + v(u).\nAnswer: u + 7392","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 7. Let z be f(0). What is the greatest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 - 6.89. Let t = 5 + g. Which is the nearest to t? (a) -5 (b) -2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10387*b + 6831*b - 181356 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -0.06 (c) 3 (d) 129\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - f = -76, 0 = -4*t + 4*f + f - 308. Find the common denominator of (-143)\/(-42) - t\/(-18) and -25\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**5\/15 - f**4\/4 - 41*f**3\/6 - 43*f**2. Find the first derivative of k(j) wrt j.\nAnswer: -8*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -10*d**5\/9 - 24916*d**4\/9 + 230036*d**3\/3 - 247136*d**2\/9 - 690098*d\/9 + 30228 = 0.\nAnswer: -2519, -1, 2\/5, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 20. Let i be 6\/(-15) - (-34)\/h. Suppose -i*w = r - 29, -2*w - 2*r = -3*r - 16. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (10 - (1 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2 + l - 2. Let n(y) be the second derivative of 0*y**2 + 0 + 0*y**3 - 2*y + 1\/12*y**4. What is n(d(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -19. Suppose 2*z = 5*o - 31, q*o = -2*z - z + 6. Suppose -3*p + 156 = 3*m, 2*p - 4*m = -2*p + 232. What is the greatest common factor of p and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*k - 695 = -1931, 3*h = -5*k - 927. Let a = h - -349. What is the remainder when 150 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33864575 + 0.2.\nAnswer: -33864574.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 0.28185.\nAnswer: -4.71815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 4 + -1 - 2. Let s be -2*(c\/(-15) - (-33)\/(-15)). Suppose -z + d = -66, -4*d - 263 = -s*z + d. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1121 = 4*z, 0 = -4*f - 29 + 17. Let i = z + -1422\/5. Which is the nearest to 4? (a) 2\/11 (b) i (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*(-3)\/12)\/(20\/(-80)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**2*v**3 + 6*n**2*v**2*x**3 + 2*n*v*x**3 + 2*n*v*x**2 - 29*v**3*x**3 - 3*v**2*x**2 wrt v?\nAnswer: 6*n**2 - 174*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441408 and 13860?\nAnswer: 46347840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1100000111001001011100010?\nAnswer: 1100000111001001011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 841*t - 213*t - 377*t in the form a*t + j and give a.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 28*m**2 - 70*m - 3. What is c(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 557947111 and 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231358 is divided by 2571.\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014183466 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8581 divided by 2.\nAnswer: -8581\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + 7*d - 7*d. Let k(c) = -29 + 4*c - 4 + 26 - 6*c + 3*c. Calculate k(b(q)).\nAnswer: 3*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -231, -234, -237, -240?\n\"Answer: -3*s - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d - 190*d**2 + 190*d**2 + d**3.\nAnswer: d**3 - 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, 9.2, 2 in increasing order.\nAnswer: -26, -5, 2, 9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**5 - 777*q**4 - 20652*q**3 + 126228*q**2 + 82656*q - 492480 = 0?\nAnswer: -228, -36, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 6*j**2 - 7*j + 10. Let p be d(5). Suppose -k - 7 + 34 = p. What is the greatest common factor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Suppose 4*b = -2*q + 114, -218 - 95 = -5*q + 4*b. Suppose -13*j = -14*j + 5. Let c(l) = -61 + q - j*l**2 + 0*l**2. Determine a(c(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**1\/v))**(2\/9)*(v*v**(-1\/3))**(-1\/20))\/((v*(v*v\/v**1*v)\/v)**13)**(22\/5) assuming v is positive.\nAnswer: v**(-10279\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g**2 + 541*g - 12. What is the units digit of o(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*s = 739*s + 2*r + 3, 0 = -4*s - r + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210101 - -12112?\nAnswer: 1222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0*s + 0 + 2\/3*s**3 - 42*s**2 - 1\/120*s**6 + 1\/12*s**5 - 1\/3*s**4. Suppose y(r) = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -92930.\nAnswer: 49\/92930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 469062, 1876240, 4221536, 7504950, 11726482?\nAnswer: 16886132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 1275001*k**4\/24 + 2*k**3\/3 + 2*k**2. Let b be j(-4). What is b rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 70*m**2 + 5*m + 25. Give v(2).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -755*(18\/15)\/(-3). Suppose 0 = -2*j + 3*u - 257, -2*j - u + 49 = o. Let p = -2923\/23 - j. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*c**2 - 69*c**2 + 37*c**3.\nAnswer: 37*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*z - 248*z - t - 53 = 0, 3*z - 4 = -t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 2. Suppose 0 = u + 3*u. Suppose u = -2*t - 6, -5*t - 1 - 26 = -2*a. Suppose 0 = 4*x - 3*x - a. Calculate l(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p + 21. Let z = 13 + -6. What is the units digit of a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/60 - 2*i**5\/15 + 5*i**4\/24 - 5*i**3\/6 - i**2 - 2*i. Is r(5) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10686 - -22066. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 34390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5 - 22 = d, 5*d = -5*a - 5. Suppose -3*x - 24 = -7*x. Suppose x + 14 = 4*s, 3*s - 35 = -a*b. Solve -4*o - 9 = -i - 4*i, b*o - 15 = i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -62, -112, -174, -248?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/16 - 1\/16. Let n be 1\/4 + (-9)\/((-936)\/(-10)). Which is the closest to -1? (a) h (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 13*g = -104 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a millennium?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -19.\nAnswer: -82\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7434*z + 3095*z + 2449*z.\nAnswer: 12978*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 10 = 5*k - 0*k, 0 = -4*r + 3*k - 6. Suppose -3*z - 4 - 2 = -m, 5*m + z = 78. Sort -2, r, m, -4 in increasing order.\nAnswer: -4, -2, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(4 - (-9)\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 734 divide 2895992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**30\/(y**(-35)*y)*(y*y**(-4\/9))\/y**(2\/33) assuming y is positive.\nAnswer: y**(6385\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7560 and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**2 + 202*h - 8281. Give f(24).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -43. Let v be 2 - ((-12)\/r + (-70 - 1)). Let d(g) = v - 75 - 8*g - g**2 + 3*g. What is d(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031150507 to seven dps.\nAnswer: 0.0003115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*-2*(-15)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3402318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.041 and 0.096?\nAnswer: 0.003936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (2 - 0\/2). Suppose m*b + 274 = -5*w - 466, 0 = 4*b - 2*w + 598. Let a = -58 - b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/5636 and -23\/464.\nAnswer: 653776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.19 + -0.19. Let q be 16\/30 - 1\/3. Let l be (-1)\/(-3) - (0 - -1). Put l, q, f in descending order.\nAnswer: f, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297188476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2973834 divided by 102546.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 10) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108\/81*6\/(-4). Let o = 4 + y. Solve -o*l = -7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 3*r**2 - r + 1. Let t = -28 - -25. What is j(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 7*k**3 - 4*k**3 - 2*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, 8, -2, -26, -70?\n\"Answer: -p**3 + 2*p**2 - p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 + 279*q**3 - 819*q**2 + 813*q - 270.\nAnswer: -3*(q - 90)*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b201 (base 15) in base 8?\nAnswer: 111310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4383 = -5*r, 18*t + 10966 = 23*t + 4*r. Which is bigger: 2192 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24696, 24692, 24686, 24678, 24668, 24656, 24642?\n\"Answer: -u**2 - u + 24698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26223831340\/2763 - -9491072. Let h = -2\/307 - o. Let z = 0.09 - -0.11. Which is the nearest to h? (a) -1\/9 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304000 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 13*j**2 - 28*j + 23. Let l be i(-10). Solve 0 = l*z - 5*c + 24, -3*c + c + 18 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 - 1.2. Let i = -0.4 - j. Sort -3, i, -0.3 in increasing order.\nAnswer: -3, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.73 - 1.6. Round s to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 50*l + 308. Let f(i) = -133*i + 6112. Let j be f(46). Give a(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 1. Determine d(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1 - 7) - 26\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5 + 34*b**4 - 726*b**3 - 818*b**2 + 1508*b = 0.\nAnswer: -29, -2, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 4 (c) -1 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -248538*z + 25505?\nAnswer: -248538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 155*c**2 + 673*c - 31081. Give r(158).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2. Let z be y(1). Suppose 5*f + 0*p + 3*p = -37090149, z*f - 5*p = -29672097. Let g = -24818028 - f. Round g to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 35 = -u. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u + k - 2826, -4*k = 4*u - 3760. List the prime factors of u.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 3.5. Let r = d + -3.1. Let v = 855023 + -855026. Which is the closest to -1? (a) v (b) 2\/19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 1489601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.6 + 7.98. Let s = -155.62 - m. Let w = 153.0000134 + s. What is w rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1772.\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -53*o**5\/60 - 3*o**2 + 126. Let q(i) = -3*i + 4. Let s(n) = -2*n + 3. Let h(w) = 3*q(w) - 4*s(w). Give h(t(d)).\nAnswer: 53*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 173910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -n - x, -7*x + 11*x = 0. Let s = 182 + n. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8890 divided by -10.\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48375 is divided by 620.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 - 58 = 0. Suppose 4*u - 1 = x. Suppose -m = -2*p + 4*m + 331, 3*p - u*m = 486. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1509*k**2 - 6427*k + 6427*k.\nAnswer: 1509*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 3 - 6*j**2 - 3. Let k(y) = 2*y**2. Give c(k(a)).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.343 - -0.383. Which is the third smallest value? (a) -2 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 14*u**3 + 3*u + 11. Let a(x) = 5*x**3 + x + 4. Let v(r) = -2*r + 2. Suppose 2*b - 4*b - 6 = 0. Let l be v(b). What is l*a(y) - 3*w(y)?\nAnswer: -2*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120631 + 488377 = 13*o - 5970. What are the prime factors of o?\nAnswer: 2, 7, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-3 + (1 - -8)) - (15 + -19) - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**3 + r**2. Let a(i) = i**3 + i**2 - 39*i - 1. Let h(b) = 4*b**3 - 3*b**2 + 78*b + 2. Let g(x) = 2*a(x) + h(x). Calculate -6*g(s) - 7*m(s).\nAnswer: -s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 163?\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/21436 and 71\/858.\nAnswer: 9196044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -556392 divided by 24.\nAnswer: -23183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1170 = 46*g - 163*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -1\/24*k**4 - 1\/120*k**6 + 0*k**5 + 0*k + 0*k**3 + 0 - k**2. What is the second derivative of w(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*b = 17*b + 68*b + 14868 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10764 and 970.\nAnswer: 5220540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/228)\/(10\/(-45)))\/(3\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2211\/145928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19\/3062 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 0. Suppose b = 4*s - k - 13, 4*s + 2*k = 5 + 5. Suppose -y - 3*u + 39 = 0, y + 108 = s*y - 4*u. What is the greatest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14924)\/24108*99\/(-11)?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0828 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1493238.\nAnswer: 2, 3, 191, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -1. Suppose 2*w = -2*w - 3*b + 89, -5*b + 55 = t*w. Solve -f + w = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 2:25 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k + 8. Let f be p(-8). Let j be (f\/15)\/((-4)\/10). What is the common denominator of (16\/(-11))\/(j\/(-14)) and 39\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85059 divided by -3378\nAnswer: 28353\/1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738*t**2 - 648*t**3 + 714*t**2 + 9*t - 6*t.\nAnswer: -648*t**3 - 24*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -25*j - 20, 4*b - 9776 = -3*j. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 8 = 9*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1\/3)))\/(c*(c**(-33)*c*c)\/c)*c**14\/(c**(-22)*c) assuming c is positive.\nAnswer: c**(199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5))**17*t*t**(-2)*t*t\/(t*t**(1\/14))*t*t)**37 assuming t is positive.\nAnswer: t**(-43031\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.46024nm to micrometers.\nAnswer: 0.03046024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(95)\/sqrt(5) + -2)**2.\nAnswer: 6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3911*l - 1493. What are the prime factors of d(-6)?\nAnswer: 7, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*m + 64*m - 7196 - 1078 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.03 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8 - (-45)\/2040.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00425142 to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17118, -68483, -154092, -273945, -428042, -616383, -838968?\n\"Answer: -17122*j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9 + 13 + 4*k + k - 6*k. Calculate c(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z - 13. Let p(l) = 3*l + 6. Let h(u) = -6*c(u) - 13*p(u). Let y(g) = -10*g**2. Calculate y(h(j)).\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 - -256?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042.25 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*d + 2413 - 548, -4*l - d + 2465 = 0. Calculate the remainder when l is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*q**3 - 27*q**2 + 2*q wrt q.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -578988 divided by -3574?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, -3\/7, 18 in ascending order.\nAnswer: -5, -3\/7, 0.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1306.1 - 1370. Let a = 28 + k. What is a rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21759000 to the nearest one hundred thousand.\nAnswer: 21800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860 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 9816876 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2*sqrt(35)\/sqrt(5) + sqrt(7))**2 - sqrt(7) - (sqrt(700) - (2 + sqrt(700)))**2).\nAnswer: -3*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/2, -1\/5, 95, 1, 0.26?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/4, -0.08, 47, 0.7 in decreasing order.\nAnswer: 47, 2, 0.7, -0.08, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) + 3\/6. Suppose 0*g + 4*g = 8. Are g and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-15))\/((-3)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*l + 30, -l + 2*l = h - 9. Let q = 0.14 - 0.24. What is the second biggest value in q, l, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12028\/18137 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/(-6)*-2 + -1. Suppose -j + 6 = 3*x, -4*j - 42 = -2*x - d. Let h(l) = -2*l - 9. Let p be h(j). Solve 9 = -3*o + t, 0 = o - 4*t - 5 - p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 2*n, -4*n + 9 = 2*x - n. Sort -225, x, -4, -4\/3 in increasing order.\nAnswer: -225, -4, -4\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 522 + -519. What is the second biggest value in -1\/4, -356, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -5, -1\/16, -3\/2 in decreasing order.\nAnswer: -1\/16, -3\/2, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = -49. Let h(j) = -j**3 - 21*j**2 - 23*j - 48. Let a be h(p). Suppose 4*n - a = -4*q, 4*q - q - 9 = n. Solve -4 = i + q*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11656 divided by -8\nAnswer: -1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l = -190*l - 75*l - 3510 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 4*f, -16 = -3*z - f - 0*f. Solve z*i - 20 = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 7*g + 1. Let s be x(-7). Let j be -1 + s + (15 - -1). Suppose 2*y - 3*y = -2*v + 29, -2*y + 10 = 0. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 64622 = -72604. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24624 divided by -1539\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*m = 235*m + 1650 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3 + 16*n**2\/7 - 52*n\/7 - 40\/7 = 0. What is n?\nAnswer: -1, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.560825l in millilitres?\nAnswer: 6560.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w*y**6 + 154649*w*y**3 + 2*w*y**2 + 1612206*w*y wrt y?\nAnswer: 120*w*y**3 + 927894*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 4*g**2 + 3*g - 9. Let t be x(4). Let h(w) = -w**2 + 6*w + 1. Let u be h(t). Suppose 44 = r + u. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + 9a20?\nAnswer: 9a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t - 2*w - 3*w, t - 4*w = 17. What is the least common multiple of 4 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000072492264 rounded to 7 decimal places?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7*r = -66. Let v be 0 - r\/(-4) - (-37803)\/2. What is v rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((1 - 9) + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212120233 (base 4) in base 14?\nAnswer: -acb95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q + 612. Let n(z) = -z - 54. Let s(p) = 6*m(p) + 68*n(p). Let y(t) = -t**2 + 1046. Calculate s(y(b)).\nAnswer: -4*b**2 + 4184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.41 + -0.3. Let p = s - 0.1. Let f = -72092\/3 - -24030. Which is the third smallest value? (a) f (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 5 (c) 31 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 9*r = 0. Let l = 5 + r. Find the third derivative of -24*b**2 + 17*b**2 - 13*b**2 + 19*b**l wrt b.\nAnswer: 1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1 = 4*q - 29, b - 12 = -2*q. Let a = 472\/217 + -32\/31. Determine n, given that -10\/7*n**4 - a*n**q + 0*n + 0 - 2\/7*n**3 + 0*n**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 5) to base 2\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {d: 1, n: 3, m: 4, p: 1, g: 4, k: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -9*m**3\/7 - 111*m**2\/7 - 33*m + 105 = 0.\nAnswer: -7, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 149*c + 293. Determine f(-72).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 40431665804?\nAnswer: 40431665794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4*i - 32, -n = i - 525 + 536 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 398600 and 204242640.\nAnswer: 1021213200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*k + 38 = -24, 4*d - 131 = k. Calculate the least common multiple of d and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 57945?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6497)\/511)\/(3\/21)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 - 2 - (3 + -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137934 and 360.\nAnswer: 2758680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**11\/u**(-17\/2))**42)**(1\/8))**(-33\/2) assuming u is positive.\nAnswer: u**(-27027\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-364)\/(-39))\/(2\/3). Suppose -3*p - 1298 = -u*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2310, 2309, 2308, 2307, 2306, 2305?\n\"Answer: -l + 2311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1\/7, -24, 2\/11 in ascending order.\nAnswer: -24, -6, -1\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14283 - -5919. Let l = h + 11773. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2258540 is divided by 135.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75163, 75001, 74723, 74323, 73795?\nAnswer: 73133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -4*l + 27 + 13, -4*a - 2*l = 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4195.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3031*g + 5*g**2 - 1 - 3034*g - 5*g**2 + g**3. Let f be (1\/3)\/((-7)\/42). Determine v(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 25 = -5*f, 4*f + n + 14 = -0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 3212 = -2*d - 4*v, -4*d - 3*v = 3177. Is d greater than -799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 28. What is the remainder when (1 + (-165)\/(-6))*(2464\/84 - 28) is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -286\nAnswer: 19\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s*y**6 + 21*s*y**4 + 57*s*y**2 - 1563*s*y + 1000*y**4 wrt y?\nAnswer: 240*s*y**3 + 504*s*y + 24000*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fnnffbnfngggnnnbf.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -1\/12*q**3 - 1\/2*q - 1 + 3\/8*q**2. Suppose a(u) = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**3 + 8*p + 2*p - 8*p + 11*p.\nAnswer: -13*p**3 + 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3113375537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(330\/(-64)))\/(4\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 528.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-308)\/(-55))\/((-2)\/120*2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (57 - (0 + 15) - 4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = -2*p - 107, -2*p + 458 = 4*l. Let t = l - 119. Is 12 a factor of 685\/3 + 2\/t + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -735.12734 to the nearest 10.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159372, -318746, -478120, -637494, -796868?\nAnswer: -956242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.738 - -0.798. What is the biggest value in p, 0.5, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b**3 - 507968*b**2 + 6733598*b + 2774716 = 0. What is b?\nAnswer: -2\/5, 41\/3, 16919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*h**2*u - 1182*h**2 + 691*h*u + 43*h wrt h.\nAnswer: 24*u - 2364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163707813*t**3 + 62878*t**2 + 669*t + 1 wrt t.\nAnswer: -982246878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 109\nAnswer: 23\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 744 (base 8) to base 6\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*w + 30. Is 11 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((2 - 5)\/21). Let h(b) = b**3 + 2*b**2 + 2*b + 2. Let k = 30 - 31. Let r be h(k). Sort -5, w, r in decreasing order.\nAnswer: w, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.1, -1\/2, -8, -5, -2\/943?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q. Let a(j) = -2109*j**2 - 139*j - 73. Give d(a(o)).\nAnswer: -4218*o**2 - 278*o - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.04811, -4, 0.3?\nAnswer: 0.04811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2240334 - 323?\nAnswer: 2240011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 28*r + 18. Suppose 5*i = -5*o + 3*i + 55, 0 = -o - i + 8. Let q be j(o). Does 2 divide 12\/q*8\/3 + 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203152530 (base 6) in base 2?\nAnswer: -1101011001111011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 24*a - 1 + 3.\nAnswer: 24*a + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/(-14) - 5\/(-2). Let s(j) be the second derivative of 2*j + 0 - 3\/25*j**5 + 0*j**3 + p*j**2 - 2\/75*j**6 - 2\/15*j**4. Suppose s(v) = 0. What is v?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:40 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -28348000 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-6)*(6000\/5425)\/40?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 45 = 63. Suppose 0 = 2*m - 4, 5*y - t = m + 3*m. Let k(c) = 4*c - 9. Let x be k(y). Solve -g + x = -4*f - 0, 2*g = -f + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1 + 3 + -1). Suppose -5*n + 10*n = -20. Let y = o - n. Solve 0*a + 5*t + y = -2*a, 5*t = 5*a - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*u - 6391, -168 - 2382 = -2*j - 4*u. Suppose -5*m - d + 3240 = 0, 3*d + j = -3*m + 5*m. What are the prime factors of m?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 33, 93, 205, 387?\n\"Answer: 3*i**3 - i**2 + 8*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * 0.01381743.\nAnswer: 0.0026253117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 10*u - 5. Let y be (-170)\/(-20) - 1\/2. Let d be a(y). Let g(j) = 2*j + 42. Let o be g(d). Solve o = -5*f + 3*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)*i*((i*i**0\/i)\/i)\/i*i)**(-48)*((i*i**(1\/8))\/i**3)**(1\/47) assuming i is positive.\nAnswer: i**(27057\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o**2 - 11*o - 11. Let s(z) = z**2 - z - 1. Let t(w) = -4*m(w) + 44*s(w). Let k(u) = -32*u**2. Give t(k(v)).\nAnswer: -4096*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (7 - 1) - (-28 - -18) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 169*u**2 - 86*u**2 - 91*u**2 + 14*u - 4*u**2 + 0*u**2 + 3*u**2 + 0*u**2 + 3*u**2 - u**2 + (u + u**2 - u)*(2 - 2 + 1).\nAnswer: -6*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 17 = -2*k, 47 = -0*g + 4*g + k. Calculate the greatest common factor of g and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 p, and 1 o when three letters picked without replacement from ooeppooccooaomo?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.573 in 6, -4, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*w - 301*w + 4*z + 13 = 1, 0 = w + 5*z - 27 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1146687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -2, 3 in descending order.\nAnswer: 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(85))\/(sqrt(60)\/sqrt(48)).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-78) + 14\/91)\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -112 + 106 + (0 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11*1 - (-4 - -5). Suppose 0 = 4*a - 16, 0 = 2*n + 2*a - 44 + p. Let d = 18 - n. Solve 4*k = -20, d = -5*y - 2*k - 0*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/13 - 10\/39. Let w be 6\/5 + (-432)\/270. Put r, -5, 0.7, w in descending order.\nAnswer: 0.7, r, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 16*t**2 - 16*t + 22. Give g(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1670 and 1230.\nAnswer: 205410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -92. Solve 5*p + 2*v = 16, -5*p + c*v = -3*p - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11985881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14243, -14245, -14247, -14249, -14251?\n\"Answer: -2*r - 14241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2230\/(-4460) + 30\/9*9\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39676 and 8.\nAnswer: 79352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 36 = 5*v, a - 149 = 2*v - 163 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 10*q + 6. Let s be v(10). Suppose 2*m + 3*b - s = b, 4*m = b + 12. Let g(d) = d**3 - 4*d**2 + 3*d - 1. Calculate g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:35 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3786349 <= -49222536\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - s + 3*s**3)*(-61*s - 239*s - 220*s - 11*s) to j*s + h*s**3 + x*s**2 + r + t*s**4 and give t.\nAnswer: -1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 10. Let v be r(7). Which is bigger: v or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 659 + -601. Let j = u - -7. Calculate the highest common divisor of j and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 73 = 8. Let s = j - -4. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2791 + -2796. Which is the second biggest value? (a) -0.08 (b) -1.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 10. Let m = 46 + y. Let u = 23 - m. Is u < -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12977193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -81, 5, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8022?\nAnswer: 2, 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11085 and -3.\nAnswer: 0.33255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9199448 - 4.92. Round x to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 4*s**3 - 30*s**2 - 8*s + 40.\nAnswer: 2*(s - 5)*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/52*(-272)\/612?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 62 = 34 - 62 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-2*7\/28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -14\/5*y + 2\/5*y**5 + 4\/5*y**2 - 2*y**4 + 12\/5*y**3 + 6\/5 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96.7 + -97. Which is the nearest to 0.03? (a) -4 (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93824054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330 (base 6) in base 2?\nAnswer: 1000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11144 divided by 1393?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 4. Suppose 4*j = -4*r + 28, -13*j + r + 5 = -8*j. Let h be 126\/26 - j - (-8)\/52. Let n(g) = g**2 - 4*g + 10. Let l be n(h). Calculate m(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 234 = 0. Let r(u) = 4*u**2 - 17*u - 120. Let s be r(-7). Calculate the highest common divisor of t and s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:31 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.721 and 0.2?\nAnswer: 1.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-142)\/(-36) - 4)\/(39\/104)\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2\/13 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 - u. Let f be y(-1). Let i be (0 - f\/(-10))*-175. Let p = 129 - i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4504.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d*k**3*u + d*k**3 + 18*d*k**2*u**2 - d*u**2 + 8*k*u**2 - 11*k wrt k?\nAnswer: -84*d*k*u + 6*d*k + 36*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2 + 16\/4. Let q = a + 21. What is the remainder when 94 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -35*g**2 + 102470*g + 29280 = 0.\nAnswer: -2\/7, 2928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1491 - 1494. Suppose -4*s - 2*v - 46 = 0, -6 = -4*v - 26. Put -1, p, -2, s in decreasing order.\nAnswer: -1, -2, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**3 - 13*c**2 - 13*c + 9. Let i(b) = -b**3 - 6*b**2 + 5. Let n(v) = 2*v**3 + 7*v**2 - v - 6. Let w(f) = 4*i(f) + 3*n(f). Give 2*o(u) - 9*w(u).\nAnswer: -2*u**3 + u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22260 + -22250.9784. Let u = b - 9. Round u to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 1\/3*x**4 - 4 + 9*x - 7\/2*x**2 + 0*x**3 - 19\/20*x**5. Find the third derivative of d(h) wrt h.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -29*m**4\/4 + 21*m + 28. Find the first derivative of v(j) wrt j.\nAnswer: -87*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 31920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 57\/24 - (5 - 0 - 3)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:28 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and -0.1?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**4\/12 + 3*u**3\/2 - 2*u**2 - 2*u. Let p be x(8). Solve 0 = -5*q - 4*l + 15, -2*q + 3*l - 13 = p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.3293 rounded to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513592 is divided by 11466?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -69*n - 181. Let b be t(-4). Solve b*w = 98*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrjrjrr. Give prob of picking 3 r.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-432)\/(-1008)*(152789\/39)\/23?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412714308.\nAnswer: 2, 3, 34392859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 22 = -5*l, 35 = k + l + 9. Find the second derivative of -12*u + u**5 + k*u**2 - 27*u**2 wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0454 - -69117.855171?\nAnswer: 69117.900571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 3*k + 88. Let f(s) = -2*s + 12. Let c be f(8). Let y = 8 - c. What is the lowest common multiple of k and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - 3.3. Let q = -41\/132 + 2\/33. Let f = -10 + 10.2. Which is the closest to q? (a) -2 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4 - 11)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odoooopddoopoodo. Give prob of sequence pdpo.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - -10) + 39 + (-2 - 4 - -11)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6164.129 days in hours?\nAnswer: 147939.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 86498.46ng?\nAnswer: 86.49846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 209 + -205. Suppose 3*h + 4 = 5*h. Suppose -1032 = -q*c - 5*b, -b + 682 - 160 = h*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - -3. What is the lowest common multiple of c and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -601802.75888 - -601904. Let z = s + -131.241146. Let d = 30 + z. Round d to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284 less than -0.2?\nAnswer: -2284.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1800) + sqrt(50))\/(sqrt(450)\/sqrt(5))*5.\nAnswer: 95*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, -5, -2, -1, -115?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = -36*d - 84 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:46 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 - (20\/(-4) + 1). Let u = -20 + k. Calculate the remainder when 7 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/((c*c**0)\/c))\/c*c))**19*(c\/((c\/((c*c*c*c**(-1)*c)\/c))\/c)*c)**48*(c**1*c)**(2\/47)*c**(1\/5)\/c**4 assuming c is positive.\nAnswer: c**(44247\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -17965 - 4851. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y + 1. Let x be (-4)\/(-14) - 2\/7. Suppose -k = -n - x + 2, -5*k - 15 = 0. Let b be l(n). Solve -v + 3 = b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*l**5 - 22*l**4 - 82*l**3 + 14*l**2 + 56*l + 8 = 0. Calculate l.\nAnswer: -1, -2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107507 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 19. Suppose -u*m + 39 = 115. Let c = m + 22. Calculate the remainder when 9 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11017 + -4070. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523450195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/36 and -85\/447496.\nAnswer: 4027464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.075 * -7.9\nAnswer: 0.5925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 37. Suppose -3*n - 2*z - 11 = 0, 0 = -4*z - z - x. What is the tens digit of n*((3 - 23) + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171 - -662. Let l = -465 + f. Calculate the remainder when 232 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*n - 14, -n + 5 = -v - 6*n. Solve 4*i - v*i + 4*u + 4 = 0, 3*i + 10 = u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i - 205 = 350 - 114 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/15)\/((-8)\/1325). Let b = l - -67. Is 0 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(208) + sqrt(13) - sqrt(13))**2 - (5 + 0 + sqrt(13))**2.\nAnswer: -42*sqrt(13) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = -3. Suppose -d*f + 4 = -4. Find the first derivative of 3 - 4*b**4 - f - 2 wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 61 = -11. Let a be (1\/2)\/(3\/(-36)). Let s = a - z. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/5306 and -95\/34868?\nAnswer: 244076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - (-1566)\/15) + (-4)\/10.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + v = -4*h - 3944, 3936 = h + v. What is h rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*g + 14, 36 = -2*g - 3*s - 3. Let q be (-6)\/g - 42\/(-4). Calculate the highest common factor of q and 198.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - 6*v. Let p(r) = -4*r**2 + 5*r - 4. Let a(o) = -16*o**2 + 19*o - 18. Let w(k) = -2*a(k) + 9*p(k). What is 7*m(h) + 6*w(h)?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:26 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - -7 - 59 - (-6 + -2 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -171591.\nAnswer: 8579.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*m = -3*m - 227, 5*v - 4*m - 384 = 0. Let q = 68 - v. Is q >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 221*m**2 - 406*m?\nAnswer: 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Suppose -2*y = c + 141, 0 = 6*c - 3*c + 9. Let r = 4900\/71 + y. Is m at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3471 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: What is -1001101110100000111 (base 2) in base 15?\nAnswer: -64687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-1350))\/(3\/2646)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sum 30290714.8 and -250.1.\nAnswer: 30290464.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 385, 445, 4, -1 in increasing order.\nAnswer: -1, 4, 385, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 98, -4, -3, -1\/441, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/11 and 8\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 7.79, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178940593.\nAnswer: 13, 73, 157, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0664 + -17.0664. What is the biggest value in 5, 1, 0.4, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 + 0*n**5 + 0*n**5 + (-5*n**2 + 5*n**2 - n**2)*(4*n**3 - 2*n**3 + n**3) + 2 - 2 + n**5.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15685794 or 1?\nAnswer: 15685794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 48.1. Which is the closest to m? (a) 1\/11 (b) -1\/5 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14852, -27, -60 in ascending order.\nAnswer: -14852, -60, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.324, 0.4.\nAnswer: -5, -0.324, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4743764 is divided by 397.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026479673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*y + 1. Suppose 0 = g - f - 4, -f = -2*g - 2 + 6. Let r = g - 2. Sort y, r, -3 in decreasing order.\nAnswer: y, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (4 - ((1 - -1) + 64)). Let t = i + -42. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101461104727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19939 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (115\/(-92))\/((-1)\/220). Let p be w\/7 + 8\/(-28). What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -9)\/(3\/6). Suppose 5*f - j - 10 = 0. Let x be 0 - 536\/(-12) - f\/6. Calculate the highest common factor of 66 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -12 - -11 - -4 - (1 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 - 122. Suppose m = -10*t - 11*t + 126. Calculate the lowest common multiple of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 66*q - 55*q - 2.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1 - 6 - v + 170*v**3 - 169*v**3. Let q(w) = w**2 + 5*w + 4. Let s be q(-4). Calculate l(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2520 = -532*c + 448*c. Calculate the greatest common divisor of c and 7050.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 17, 42, 99, 200, 357, 582, 887?\n\"Answer: 2*t**3 - 2*t**2 - 3*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 8) to base 3\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 12 + 0*l - 2*l**2 + 0*l**2 + 10*l - l**3. Let o be y(-6). Let f(g) = -g**2 - 5*g - 4. Let i be f(-3). Solve o = w - i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9\/5)*a)**(-2\/17)\/(((a**(20\/7)*a)\/a)\/a**(-1\/7)))**(-3\/8) assuming a is positive.\nAnswer: a**(741\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2277, -2296, -2313, -2328, -2341?\nAnswer: -2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*p**2 - 3*p + 0*p - 5*p**5 + 3*p wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = -y, -5*o - 2*y - 14 = -2*o. Let t = -11590\/23 + 504. Let v = -4.94 - -2.94. Which is the closest to 1\/4? (a) v (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.6 + 8. Let x = -0.08 - 9.92. Let p = -10.4 - x. What is the fourth biggest value in p, 0, 0.42, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/5))**(-6\/5)\/(m\/m**(11\/5)*m*m\/(m**(-10)\/m)))**30 assuming m is positive.\nAnswer: m**(-1914\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 9 + 15 + 9*v - 6.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 7*y + 1942. Give n(47).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616741520 a multiple of 5168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -5*u - 4*t, 0 = 5*u - u - 5*t - 123. Suppose r + 2*q = u, -5*r - 2*q + 7*q + 130 = 0. Calculate the remainder when 83 is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 x when three letters picked without replacement from fxxfd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4462519m in micrometers?\nAnswer: 446251.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 + 461476*m**2 - 53238178692*m - 425934964512 = 0. Calculate m.\nAnswer: -8, 230742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (-2 + 3) - 2. Let f be 56\/12 + (4\/3)\/4. Suppose -x = f, -x + s*x - 1100 = -5*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k + 5*s + 25, 0 = k + 3*s + 15. Find the third derivative of -3*i**2 + 0*i**3 + k*i**3 + 3*i**3 wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 5032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -51*f**3 + f. Determine j(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -409, -5\/2, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2351244 and 9?\nAnswer: 7053732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 8*w**2 + 7*w - 8. Suppose -4*s = u - 26, -2 - 6 = -s - u. Let k be q(s). Let r = k + 60. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*q, -4*b - 20 = q - 0*q for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 86.4. Let l = 35 - s. What is the second smallest value in -2, 0.3, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*sqrt(4050)*-3 - sqrt(4050)))\/(((sqrt(120) - sqrt(120)*-1)*-6 + sqrt(120))\/(sqrt(12) - sqrt(12)*-1*-5)).\nAnswer: -2520*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 25*i + 5*i - 5*i**3 + 1124*i**2 + 19*i + 24*i - 1126*i**2 in the form n*i**3 + s + k*i + v*i**2 and give k.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*p**3 - 39*p**3 + 141*p**3.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + 27 + 114 + -64?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45375.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 11:01 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3406001226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1503267 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138693, 138529, 138365, 138201, 138037, 137873?\nAnswer: 137709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 4*u**2 + 1. Let m be y(-2). Let f = 11 - m. Solve 2*a - f = 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5391*m = -5413*m - 2*s + 80, -s - 9 = -m - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaagaa. Give prob of picking 3 a.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 800000*i**2 - 2*i - 8. Let h be b(-4). Round h to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 7*s + 5. Let w be y(-7). Suppose -w*q = -3*q - 24. Let t(x) = x + 8 + 2 - q. What is t(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2 + 6153*w + 36810 = 0.\nAnswer: -2045, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*k - j, -k - 51 = -4*k - 3*j. What is the lowest common multiple of k and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 divided by 6116?\nAnswer: -98\/1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-16)*r)*r))\/r**(-3\/2))\/(r**(-1\/3))**(5\/2) assuming r is positive.\nAnswer: r**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:06 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**4 + 2*g**2 - 2*g + 18. Let w(i) = 15*i**4 + 33*i**2 - 33*i + 288. Let x(s) = -33*l(s) + 2*w(s). What is the first derivative of x(h) wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6*3\/(-12))\/(9\/18). Suppose g = 43*x - 42*x. Solve -x*p - 2*p - 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*s - 44 - 96 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30785, -30777, -30769?\n\"Answer: 8*q - 30793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -594, -5, 3, -1 in descending order.\nAnswer: 3, -1, -5, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 3:16 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pepffqeqe. Give prob of sequence pqq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(2) + sqrt(32)) - (1 + sqrt(13) + -2 + sqrt(13)).\nAnswer: -9*sqrt(13)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279037 is divided by 68004?\nAnswer: 7021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -15)\/(-4) + -2 + 2. Factor -1\/5*q**c - 1\/5*q**2 + 1\/5*q**4 + 1\/5*q**5 + 0*q + 0.\nAnswer: q**2*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 6*n**5 - 566*n**4 - 4708*n**3 + 1632*n**2 = 0.\nAnswer: -8, 0, 1\/3, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 > -25468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(121)*2 + sqrt(121) + (sqrt(121) - (sqrt(121) + -1*sqrt(121))*-3))\/(sqrt(22)\/(sqrt(8)*1)*-3).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-28)\/(-26))*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26082, 26073, 26064, 26055?\n\"Answer: -9*d + 26091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -510574041.878 + -0.206\nAnswer: -510574042.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -0.9. Let z = d + -0.5. Sort -1, 3\/8, z in decreasing order.\nAnswer: 3\/8, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 - -259\/3. Which is the closest to y? (a) 2\/9 (b) 3\/7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*y - 13. Is 1*(-3)\/y + (-4428)\/(-24) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1380 + 2919 + 296*c + 1860 - 247*c + 3*c**2 wrt c?\nAnswer: 6*c + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*b - 110, 0 = -0*o + 3*o + 4*b + 330. Is ((-16)\/20)\/(4\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(2\/73)\/(g**(-1)\/g*g*g*g\/((g\/(g*g**(-4\/3))*g)\/g)*g) assuming g is positive.\nAnswer: g**(-164\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1\/5 (c) -2\/51 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luwuuxwyuuuxuusxll. Give prob of picking 1 u and 1 x.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 - 364*i**2 - 17290*i - 77600 = 0. What is i?\nAnswer: -97, -80, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2. Let u(n) = -18*n. Suppose -1 = 35*x - 34*x. Let g(k) = -k. Let w(i) = x*u(i) + 15*g(i). Calculate w(o(j)).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7323.158 decades in years?\nAnswer: 73231.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 + 82. Which is the closest to 8\/7? (a) 5 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 + 2*(-3)\/(-6). Let o = i - -16. Let g = o - -5. Calculate the greatest common divisor of 60 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 6 = -12*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*s**2\/2 + 3*s.\nAnswer: -3*s*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*823076\nAnswer: 4115380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58565.03 meters to centimeters.\nAnswer: 5856503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1938903 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 4 - 42*p + 0. Let b be x(4). Let h = b + 355. Does 42 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363608.\nAnswer: 2, 7, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53328036*s + s**2 - 53328036*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.27, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + (134 - 114) + 38?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9999234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 k when three letters picked without replacement from rrkyreyekrerymror.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 33. Differentiate 0 - n - 6 - 16*c**4 with respect to c.\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/42*((-35)\/(-30) + 0).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 11. Let s be r(10). Let t = -4 + 6. Suppose t = i - 1. Calculate the greatest common factor of i and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6229?\nAnswer: 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/110 and 16\/1199?\nAnswer: 11990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((8 - 2 - 3)*(-7 + 13 - 3) - 55 + 88 - 49)*(-3 + 3 + t) as s*t + h and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 8 + -3 + -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9865 (base 12) in base 5?\nAnswer: 1014111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -1. Let z = -687.46 - -687.06. What is the second biggest value in z, o, 130?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m**3 - 3*m**2 + 5. Let n(w) = -4*w**3 + 2*w**2 - 3. Let x(l) = -5*n(l) - 3*p(l). Find the third derivative of x(c) wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3358*f - 10119. Calculate t(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 2*h + 5*p, 3*h - 214 = 9*p - 8*p. Let g = 33 + h. Is g a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1461 and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101286.747 milliseconds in days?\nAnswer: 0.0011723003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 407 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110011 (base 3) to base 5.\nAnswer: -13212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 263. Let y = 16799 - 16642. Is y >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j + 139*j + 175*j = -104*j + 3460 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0*r + 0 + 2 - r. Let b(v) = v**2 - 4*v - 5. Let n be b(5). Let k be t(n). Solve 4*c - 3*c = -k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r + 1. Let v = 7 - 4. Let h(l) = -2*l**2 + 10*l + 2. Let m(f) = v*c(f) + h(f). Let w be m(-6). Sort 0, w, -2 in decreasing order.\nAnswer: 0, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4562 + 34904 = 778*j for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.1299 litres to millilitres.\nAnswer: 5129.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 109 - 97. Suppose y*d = -102 + 1030. Calculate the highest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25656261020 rounded to the nearest one million?\nAnswer: 25656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2. Let t = 318 - 316. Let v(z) be the second derivative of 0*z**t + 4*z + 0 + 0*z**3 - 11\/12*z**4. Give m(v(g)).\nAnswer: -121*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30898 = 1147*w - 24272 - 11356 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 3. Let g be r(-3). What is the units digit of -2 - (-1 + 1) - g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 29*y - 51 = 3*h, 5*h = 5*y - 70 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 5*v + 14. Let p be f(2). What is the greatest common divisor of p and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 228*a**2. Let x(m) be the first derivative of m**2\/2 + 1288. Determine x(k(u)).\nAnswer: 228*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*k**4 - 23387*k**3 + 2*k**2 + 2*k - 429330 wrt k?\nAnswer: 84*k**2 - 140322*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 876 + -199. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3340370*j + 663005*j - 1285349*j + 1670045*j.\nAnswer: 4388071*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67*d - 6*d + 238*d)*(5*d - d - 3*d) to the form v*d + f + c*d**2 and give c.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9700 divided by 1940?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*z - z - 6*z)*(-2 + 3 + 1)*(818 - 818 + 32*z) in the form b*z + n*z**2 + m and give n.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 378 + -295. Suppose -t = 5*s - 99, 7*t = 6*t - s + n. Calculate the remainder when t is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1725 - 6?\nAnswer: -172b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.299422 - -1.3. What is g rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v - 1095 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18456.8 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142185511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1. Let s(y) = y**2 + 34*y + 34. Let i be s(-33). Let l(c) = -2*c - 3. What is i*l(g) - 2*j(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16\/48*15\/(-4)*4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 - 0) - -2 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98804898 to four decimal places.\nAnswer: 0.988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1194 or -1197?\nAnswer: -1194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from xxdddx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 7)*(-130*l - 139*l - 66*l) + (2 + 3 - 4)*(l + 2*l - l).\nAnswer: -2008*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-5) - (-1 - 2). What is the units digit of v\/(-4) - (-139)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(9\/15) - -2*238\/84. Which is the biggest value? (a) -0.3 (b) 0.03 (c) -50 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 936*h - 3324. Calculate the remainder when t(5) is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -243*u - 94. Let m be h(-2). Calculate the greatest common divisor of m and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19821\/405896746 - -1\/32363. Are d and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1100)*-3*5)**2 - (sqrt(1100)*-2 + -5 + -3).\nAnswer: -247492 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -405.3, 51, 1, -6\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 6 = 3*i, 0 = 5*i - 3*g - 3 - 7. Let l(z) = 119*z - 9 + 120*z - 245*z. Let j be l(-3). Solve -j = i*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 736 divide 29112004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25216.08 + -25216. Let i = 0.7 - -0.3. Which is the closest to 1\/2? (a) 5 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1231 (base 5) to base 8.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = -d, 9 = 2*d - 2*g + g. Solve 0 = -3*u - 0 + d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1161602 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-27)*(-14)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from num. Give prob of sequence nu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 146367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 7. Suppose -2*z + k*z = 126. What is the units digit of (-2)\/(-14) - (-582)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.8 - 23.4036. Round n to 2 dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -x + 34, j + 3*x - 8*x - 12 = 0. Suppose -j*m - 7*m = -14154. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001 + 100001?\nAnswer: 21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*o + 38424, 5*o = -4243*g + 4240*g + 48036. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08 or -3\/14?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 7*d**2 + 4*d + 6. What is r(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49876?\nAnswer: 2, 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Let h = -3.1 + -0.9. Let g = h - -4.4. What is the second smallest value in g, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331106756.\nAnswer: 2, 17, 1217, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/69 + 37\/23. Let k(c) = -c**2 - 11*c - 15. Let u be k(-9). Which is greater: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4\/5, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1, -8\/13, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x**7*(x**10\/x)\/(x**(-13)*x*x*x))**16 assuming x is positive.\nAnswer: x**416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2025)*1*2)\/(sqrt(180)*-5 + sqrt(180) + sqrt(60)\/(1*sqrt(12))).\nAnswer: 72*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367694.\nAnswer: 2, 157, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/110)\/(1\/(-2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmll when four letters picked without replacement from imlmlmilimllm.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38, 72, 106, 140?\n\"Answer: 34*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1\/2)*644\/560. Suppose 0 = -64*t + 34*t - 60. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 54 = -216. Calculate the common denominator of (z\/16)\/((-10)\/(-24)) and -27\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 4, 28, 72, 142, 244?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6750 = 4*x, -x - 4*h + 1683 = -h. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -5*z**7\/7 + 10*z**3\/3 + 5. What is the third derivative of v(p) wrt p?\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000121584 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216154 divided by -3.\nAnswer: -216154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 1. Let w be a(-1). Let r be (-2)\/(16\/(-15)) - 2. Let k be (-1)\/6 - 15\/45. What is the nearest to k in -4, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 1, n: 1, h: 1, t: 14}. What is prob of sequence ght?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-61)\/((-3660)\/150)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -372106 - 1?\nAnswer: -372107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 67.27218?\nAnswer: -0.6727218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2043, 8095, 18181, 32301, 50455, 72643?\n\"Answer: 2017*r**2 + r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 21. What is k(-23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**3 - 2*n**3 + 3*n**3)*(2*n + n - n) + 0*n**4 - 3*n**4 + 2*n**4 - 6*n**4 + 2*n**4 - 6*n**4 as m*n**2 + u*n**3 + j + r*n**4 + p*n and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 3, o: 1, m: 2}. Give prob of picking 1 w, 1 o, and 1 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-3)*0\/(-2). Suppose 0 = 4*i - o*i. Suppose 3*c = -i*c + 78. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.18 - -1.1. Let n = -0.07999984 - d. Round n to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 32*z = -530 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6. Suppose -2*l + 0*l + 2*s = -2, s + 1 = w. Suppose l*u = u. Solve u = -3*d + d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*n**3 + 2*n**3 + 2163*n**2 - 6*n - 2163*n**2 wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 15*u + 36. Let p be l(15). Suppose -2*w + 156 = 3*n, p = n + 5*w - 29. Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 1. Let g be (9\/(-15))\/(1\/i). Suppose -4 = -g*f - 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629162.5 months in decades?\nAnswer: 21909.6875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3103 + -89?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(42)\/sqrt(6) + -3)**2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365514 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 24*g**2 - g + 29. Let o be c(24). Solve 2*m + 5*s = 33, o*m - 10*m + 25 = s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175504 less than 19?\nAnswer: 19.175504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122432010 (base 5) in base 8?\nAnswer: -21123075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -60. Solve -3*k = -7*k - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31333795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - f - f**3 + 0*f + 2*f + 7. Let r be p(-5). Let q = 128 + -125. Solve 0 = q*t + 3*c + 2*c - 10, 0 = r*t - 4*c + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/7 + 860*r**2\/7 - 67586*r\/7 + 212064 = 0. What is r?\nAnswer: 47, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2196225 and 6344865?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2dd546 (base 14) to base 15\nAnswer: -21c865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1512.9466 + -1513. What is j rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -2010?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 6*s**2 - 421*s - 5241. Determine i(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.982 + 0.018. Let x = m - 37.4. Let w = x + 5. Which is the nearest to 0? (a) 3 (b) -4\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/14)\/3*(-4)\/6.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**7*m*(m*m*m*m**(1\/4)\/m)\/m*m\/m**(2\/5)*m**(-3) assuming m is positive.\nAnswer: m**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p - 1. Let c(s) = s - 3. Calculate the smallest common multiple of b(1) and c(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*l - 2 + 122*l - 6 - 55*l.\nAnswer: 4*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m + 2. Let p(k) = 59*k**2 - 3*k - 5. Let z(r) = 4*i(r) - p(r). Find the second derivative of z(j) wrt j.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1706 = -20*v + 10774. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 23622 + 7746. Suppose g = 5*o + 2*r, 7*o + 4707 = 10*o + 3*r. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104035185959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 53, -37, -155, -301, -475?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 40, 130, 298, 568?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(3388) + (sqrt(3388) + 0)*5 - (-4 + -2*sqrt(3388)*-1 + sqrt(3388))**2.\nAnswer: -30513 + 660*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 4, y: 2, p: 2}. Give prob of sequence yvva.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*r = -0*u + 2, r + 6 = 3*u. Suppose 23*d + 2 = 117. Solve -3 = u*k + d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 28. Let s = 10 - 6. Suppose -f - 6 = -5*u - 3*f, 5*u = -s*f + 2. Solve -u*a + 0 = -d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-8)\/(-40))\/((-16)\/200).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -535633\/6 - -88753. Let t = 12497\/24 + h. What is the common denominator of t and (870\/16)\/(((-162)\/8)\/3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56208, -112309, -168406, -224499, -280588?\nAnswer: -336673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 21*t. Let l(m) = 10*m. What is l(v(w))?\nAnswer: 210*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g. Let i be (-33)\/(-2)*(-24)\/(-36). Let l(o) = 2*o + 6*o - i*o. Determine j(l(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v)\/v*v**(-1\/8)\/v*(v**(-1\/4))**(1\/2) assuming v is positive.\nAnswer: v**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-6)\/(-7))\/(16\/28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/9))\/(j**(3\/4)*j))**(1\/41) assuming j is positive.\nAnswer: j**(-31\/1476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 16. Let c(q) = -q - 2. Let t(u) = 6*c(u) + r(u). Calculate t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (4 + -1 - (5 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7157 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 + 3.06. Let l = -1.521 + -60.779. Let m = l + 62. Is m less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 120*v = -118*v + 42, 3*v + 59 = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 212231*c**3 + 4*c**2 - 14*c + 12. Is w(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*-2 - -8. Let w = d + -4. Suppose -2*i - 54 = -64. Solve -w*m + 4 = -i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3846718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -423da + 4?\nAnswer: -423d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/(a\/(a\/a**(-5)))))\/a*a*a**3*(a**(-2\/3))**8)**40)**(-34) assuming a is positive.\nAnswer: a**(25840\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 + 8*j**3 - 10*j**3)*(0*j + 3*j - 5*j) + 0*j**4 + 0*j**4 + 2*j**4 + (j**3 + 0*j**3 - 3*j**3)*(-1 + 1 - j) - 4*j**4 - 2*j**4 + 5*j**4.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*y = 180*y - 205*y - 10752 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*i + 2. Solve i*d - 4*r + 0*r = 7, -d + 8 = -3*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) + 55\/(-22). Let w be (3 + c - -390) + -3. Suppose 4*h - 3*b - 288 = 0, -4*h - 67 + w = 5*b. What is h rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 21.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -1, 3 in decreasing order.\nAnswer: 4, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -52 + 9 - 21?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, x: 5, v: 3}. What is prob of picking 3 j and 1 v?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39760333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 22077 = 3*k, 4*k - 3*k = 4*y + 7347. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/489 and 145\/54.\nAnswer: 8802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w + 178. Suppose 0 = 2*z - 4*z - 158. Let i = z - -79. Is h(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1215*i**2 + 17*i. Let q(h) = -14*h - 1. Give q(j(n)).\nAnswer: -17010*n**2 - 238*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmuskmmsbmuk. What is prob of picking 1 x and 1 m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**8*v**(1\/7)\/v*(v**(-3))**22 assuming v is positive.\nAnswer: v**(-405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(3\/2 - 1). Let y(c) = 3*c**3 + 15*c**2 + 7*c + 37. Let z be y(-5). Solve -m - 2*m + 2*p = -z, -5*m + 2*p = g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/2*666\/777. Let t(d) = -2*d - 3. Let r(j) = -j - 2. Let h(f) = -4*r(f) + 3*t(f). What is h(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -163, -505, -1027, -1729?\n\"Answer: -90*r**2 + 108*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72793012 and 62248?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -1603*b**4\/8 + 2731*b**3\/6 + 2*b**2 - 4077*b. What is the derivative of v(a) wrt a?\nAnswer: -4809","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 76\/3. Let y(n) be the first derivative of -6\/5*n**5 + 0*n - 7 + i*n**3 + 0*n**4 + 0*n**2. Find the third derivative of y(h) wrt h.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 115*x - 192. Let v be r(59). Let w(g) = g**3 - 4*g**2 - 1. Let z be w(5). Let f = z + v. Solve 4*s - f = 5*c, 3*c + 3*s - 1 = -s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9052832 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20\/2 + 1 + 11\/((-22)\/(-8)) and 10305.\nAnswer: 10305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddqdddddqddd. Give prob of picking 1 d and 1 q.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651346460 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 22*o**3 + 10*o - 10. Let c be 18\/(-12)*(-3 + 1). Suppose -c*g + 7 = 16. Let y(k) = 7*k**3 + 3*k - 3. What is g*q(f) + 10*y(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10dad (base 15) to base 6\nAnswer: 1052401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**(1\/23))**(-2) assuming s is positive.\nAnswer: s**(4\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 225.079 millennia?\nAnswer: 2250.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, l: 2, r: 2, w: 1, b: 1, y: 2}. Give prob of sequence rwdy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3*m - 6*m)*(-3*m + 2*m + 3*m)*(67*m - 74*m - 85*m - 71*m).\nAnswer: 652*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363586 to the power of 1\/2, to the nearest integer?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*d**3 - 817*d**2 + 10*d + 21066 wrt d.\nAnswer: -930*d - 1634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*k + 35. Suppose -m + 13 = -k. What is the remainder when 38 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)*t)**(-37)*t*t**(-8)*t*t**7 assuming t is positive.\nAnswer: t**(-326\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9354623 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-12)\/(-18))\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11625.25439 - 11624.6. Round i to three dps.\nAnswer: 0.654","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002728 to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w - 78 - 44 + 172 to f*w + z and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 19*s**2 - 4*s + 47. Let p be w(19). Is p at least as big as -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142 + -11. Let a = y + -84. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/((-110)\/(-15)))\/((42\/6)\/(-231))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x - 2 + 13*x - 42*x. Let a(r) = 1. Let y(k) = 5*a(k) - m(k). Find the first derivative of y(b) wrt b.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224505*q**5 + 17*q**2 + 1558*q - 1.\nAnswer: 13470300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-66) - 10\/3. Let c be -1*21*(-1)\/d. What is the third smallest value in -2, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 17. Let u be o(-8). Let t = u + -27. Is t greater than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (1 - (0 - 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, d: 2, g: 2, r: 3, q: 6}. What is prob of sequence qqdy?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169019\/14 - -12080. Calculate the common denominator of -33\/100 and f.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 2*q - 5. Let l(i) = i**2 - i - 1. Let z(t) = -k(t) + 6*l(t). Let n = -76 - -120. What is the remainder when n is divided by z(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279897 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 18*o**2 - o + 1. Suppose -2*l = -4*l + 2. Let m(i) = -i + 11. Calculate the lowest common multiple of q(l) and m(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**6\/24 + 19*r**4\/24 - 5*r**3\/3 + 9*r**2. Let p(s) = 4*s**3 + s**2 - 17*s + 9. Let d(g) = -5*h(g) - 6*p(g). Determine d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2478 divided by 42\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/8)\/(7\/(-336)*2). Does -19 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 - 15*m - 15. Let o(r) = 15*r**2 + 31*r + 32. Let t = -18 + 24. Let s(d) = t*o(d) + 13*w(d). What is s(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/(-108))\/25 + (-2150)\/120?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.152096 and -496.\nAnswer: 1067.439616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 15 = 14*j. Factor 2 - j + 2*s + 5 - 6*s + 2*s**2.\nAnswer: 2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96165078587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + (sqrt(52) + sqrt(52)*-1)*5)\/sqrt(4) + sqrt(156)\/(sqrt(588) - sqrt(588)*2).\nAnswer: 6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16651125*r**3 - 384*r**2 - 95794*r.\nAnswer: -99906750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -125*w**3 + 930*w**5 - 84*w**3 + 210*w**3 + (-4 - 2 + 4)*(-2*w - w**5 + 2*w).\nAnswer: 932*w**5 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*((4 - 3) + -2). Suppose -2*h = -o*h - 3*u + 27, 2*u = 2. Calculate the greatest common factor of h and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -15*y**8\/28 - 43*y**4\/3 - 147*y. Find the third derivative of o(k) wrt k.\nAnswer: -3600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-176) + 4\/(-16)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2074372 and 14084?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q\/(q**(-32)*q*q)*q)*q))\/(q**6*q))**(-2\/7))**(-12) assuming q is positive.\nAnswer: q**(576\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*q**3 + 4*q**3 - 3 - 13 - 29*q**4 + 32*q**4 + 24*q**2.\nAnswer: (q + 2)**3*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 11 = 3*r. Let j(v) = 2*v**3 - 3*v**3 + 3*v + 10*v**2 + 3 - 7*v**r. Let t(q) = -6*q**3 + 16*q**2 + 16*q + 16. Determine -16*j(s) + 3*t(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, l: 1, s: 1, i: 1}. Give prob of sequence vl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)\/((k*k*k*k**23\/k)\/k) assuming k is positive.\nAnswer: k**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -803 - -933. Calculate the lowest common multiple of 26 and k.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybymunxbu. Give prob of picking 2 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcbb when four letters picked without replacement from bpccppbpcbcpbppbbt.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 2436398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/8, 4, 10\/119?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 3*g + 4. Let q(r) = r - 3. Let x be q(0). Let p be o(x). Is 18\/(-15)*(-30)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - 13*y - 12. Let p be q(-3). Let g = p - 72. Which is the third smallest value? (a) -54 (b) 1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -312 - -207. Let a = 236 + v. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-15\/4)\/o)\/(o**(-12)*o))**(2\/27))**36 assuming o is positive.\nAnswer: o**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/3)*h*h**(-4)*h**4\/(h**(2\/9)*h*h) assuming h is positive.\nAnswer: h**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33352.13 millennia in years?\nAnswer: 33352130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 6\/(-18)*-6. Solve -i*h + 4*t = -12, -t + 1 + 2 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, -1\/2, 1\/6, 1\/32, -19\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -49\/5, -1\/3, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t**3 - 4*t**2 - 7*t - 2. Let l(x) = -x**3 + 3*x**2 + 5*x + 1. Give -2*l(a) - 2*r(a).\nAnswer: -24*a**3 + 2*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7521489, -7521461, -7521425, -7521375, -7521305, -7521209?\n\"Answer: p**3 - 2*p**2 + 27*p - 7521515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 968032 and 312?\nAnswer: 2904096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -337, -417, -497, -577?\n\"Answer: -80*p - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 + 10*i**2 - 43*i**2)*(-39*i + 59*i + 65*i)*(23 + 4*i - 23) in the form d*i**4 + a*i + f + q*i**2 + c*i**3 and give d.\nAnswer: -10540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + (-85)\/(-10))*32\/36. Solve 2*y = -a - 6 + n, 23 = 2*a - 5*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n*n**(-3\/5))\/(n*(n*n*n\/(n*n*n**(-1\/2)))\/n)**3 assuming n is positive.\nAnswer: n**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 56480 = 3*x. Suppose -5*i = -5*w - x, 11317 = 4*i + 5*w - 2*w. Let y = -33901\/12 + i. Find the common denominator of 97\/30 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128232305*p**3 + 5617*p**2 + 2937 wrt p.\nAnswer: 769393830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -19*q - 17*q + 34*q. Give m(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1\/2 (c) 24 (d) 2.9 (e) -163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -711, -1420, -2129?\n\"Answer: -709*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -618151 divided by -3?\nAnswer: 618151\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 42. Let b be (4\/5)\/g*(16 - -1474). Suppose o - 588 = -5*h + 3*o, 5*h - 4*o - b = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - -50. Let k = 79.8 - p. Let s = -508\/3133 + 2\/241. Which is the third smallest value? (a) -2\/9 (b) s (c) k (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 29*l - 158 + 22*l - 51*l.\nAnswer: 2*l**2 - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 347642039 to the power of 1\/2, to the nearest integer?\nAnswer: 18645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.01 (b) -0.1 (c) -117440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13331, 26659, 39987, 53315, 66643?\n\"Answer: 13328*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.543629l to millilitres.\nAnswer: 2543.629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265 + -264. Let q = -7 + 11. Let j be ((-1)\/(-1))\/((-28)\/(-12)). Sort j, r, q in increasing order.\nAnswer: j, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641141687 to the power of 1\/3, to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-21)*9*6\/36.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + 1*sqrt(208))*-1 + (sqrt(208) - -3*(sqrt(208) + 1) - -1*(sqrt(208) + 1)))**2.\nAnswer: 128*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1182 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 2)*(0 + 0 + 5)*(y + 34*y + 18*y) to the form b + s*y and give s.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17.8046967 hours?\nAnswer: 0.1059803375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.35? (a) 3 (b) 4.03 (c) -2\/9 (d) -5 (e) -0.1 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3 - 4*x**2 - 4*x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by -2324.\nAnswer: -125\/2324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 216769013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n - 12 = 0. Let c(k) = k**3 - 3 - n*k + 4*k**2 - 3*k**2 + 3 + 2. What is c(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b - 1. Let u be (-4)\/14 - (-15)\/(-21). What are the prime factors of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*z = -809*z + 26190 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3667 - -3668. Which is the nearest to v? (a) 1\/7 (b) -2 (c) 5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 1. Let z(g) = -g**3 + 12*g**2 - 5*g - 9. Let p(o) = -5*h(o) + z(o). Calculate p(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 64*l + 19. Let p(z) be the third derivative of 21*z**4\/8 + 3*z**3 + 28*z**2. Let m(a) = 5*p(a) - 4*y(a). Is m(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -820 divided by 4.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 298.6 + -283.77. Let i = 15 - c. Let b = i + -0.1742. Round b to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjotzrojtrjrcrt. Give prob of picking 1 z, 1 r, 1 j, and 1 t.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53686537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (6 + -3 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 251139 - 420599. Round b to the nearest 1000.\nAnswer: -169000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29438 is divided by 446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4017*p**5 - p**2 + 1458?\nAnswer: 241020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -11503\nAnswer: 3\/11503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3362*c - 1681*c + 2*c**2 + 0*c**4 + 22 - c**4 - 1683*c as l + g*c**3 + z*c**4 + m*c**2 + o*c and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -333522001 plus -289?\nAnswer: -333522290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 1815358711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 410308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*o + 354 = -1101 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4 = 2*z, 2*v + 2*z = 3 - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2867*z**3 - 61894*z**2 - 1318837593*z wrt z?\nAnswer: -17202*z - 123788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 - 2*t + 4*t**5 - t**5 + (2*t**3 + t**3 - t**3)*(-257718 + 257718 + 416*t**2).\nAnswer: 831*t**5 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (19 - 62 - -30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*q = 1484, -3*b + 902 = 22*q - 18*q. What is the remainder when b is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1391556, 2783083, 4174582, 5566053?\nAnswer: 6957496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjry when four letters picked without replacement from ryynnrjyryyrnyoyrojy?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2)*1 - (sqrt(96)\/sqrt(8) - sqrt(3))**2 - ((-4 + sqrt(192) - sqrt(192))**2 + (sqrt(33)\/(sqrt(55)\/sqrt(5)))**2))*1.\nAnswer: -22 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75136444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(44055\/1157)*(5\/(10\/64) - -3)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0235036 litres in millilitres?\nAnswer: 23.5036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 156 = -3*c, -4*p + 8 = 2*c - 126. Suppose -6*z + c = -39. Calculate the remainder when 61 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772798181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*k - 3*p - 24, -p - 20 = -3*k. Let d = k + -8. Solve -2*a - 2 + d = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173.5 - 7.25. Let t = l + -168. What is t rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3354 + -0.9354. Let t be 2 - (288\/(-33))\/(-4). Sort t, 5, j in descending order.\nAnswer: 5, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (884\/(-195))\/(-34)*-1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*h**3*n**2*p**3 - 34*h**3*p**3 - 5*h**2*n*p + 2*h*n**2*p**3 - n**2*p**3 - p**3 wrt h?\nAnswer: 60*n**2*p**3 - 204*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25052905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 1959907.\nAnswer: -23\/1959907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2611644 and -91\/242?\nAnswer: 316008924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 3. Let m(f) = f**3 - 9*f**2 + 22. Let z be m(9). Let p = 25 - z. Solve -2*h + l = p*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21538 is divided by 3032?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let g = 4.88 + -4.48. Sort g, 0.3, p in ascending order.\nAnswer: 0.3, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (-56 + 90 + -165) - (-19 - 1)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -539816, -1079637, -1619458, -2159279?\n\"Answer: -539821*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 81\/(-270)*(-16 - -6). Solve -u = 3*y + 8, 5*u - r*u = y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70 + 2 - -3)\/(17 - 14)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 30 = z. Let a be 4\/z + 60\/18. Let c(r) = r**2 - 6*r + 6. Let g be c(a). Sort g, 4, 3 in decreasing order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162640 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - -96. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e6a - 15d?\nAnswer: -10c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/((d**(3\/7)\/d)\/d))\/d))**(-5\/18)\/(d**(-1\/8))**11 assuming d is positive.\nAnswer: d**(773\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/8)\/((-29)\/(-6) + -2). Let m = -55\/238 - t. Which is the biggest value? (a) 0 (b) -1\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*b + 10, -2*b = 3*b + 5*g + 5. Suppose -l = 5*u - 261, b*u - 115 = -5*l - 6. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -52 - ((2 - (0 + 1)) + 27)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2. Let h = 223 - 198. Let s(u) = 22*u - 9. Let d(b) = 175*b - 75. Let g(f) = h*s(f) - 3*d(f). Calculate n(g(a)).\nAnswer: -4375*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 3*r - 871 = 0, -4 = -2*r. Calculate the remainder when v is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.117556 = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1860 = 62*v - 1922 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 61 = b, -3*u + 5*u - b = 39. Suppose x = 5*x - u. Which is smaller: 6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 29\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33508301 + (12\/(-36))\/((-2)\/18). Suppose 0 = -19*r + 21*r + h. Let d = -11954152 - r. Round d to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 19 + 14 = -j, -l = 2*j + 63. Let u = 27 + j. Let k(b) = -7. Let w(i) = -i + 35. Let y(s) = 11*k(s) + 2*w(s). Determine y(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -21307?\nAnswer: -21305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4791 (base 14) to base 5\nAnswer: 344400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.2 + 33. Let x = -1.7 + n. Which is the second biggest value? (a) 0.08 (b) x (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617763520.\nAnswer: 2, 5, 11, 223, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25\/3, 2\/63, 0.05?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10. Suppose 0 = 4*p - 5*g - 9, 5*g - 3 + t = 2*p. What is the greatest common divisor of p and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**3 - 2*b + 1. Let f be 8\/2 + -3 - 0. Let z be c(f). Suppose 3*g**3 + 5 - 5 - 6*g**3 - z*g**2 = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65901.88 centuries to millennia.\nAnswer: 6590.188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-10) - (-276)\/115)*535. Suppose 7*o + 198 = g. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 3*w + 32, 0 = -139*w + 134*w - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 7*j - 3. Let k be a(-6). Suppose 0 = -2*t - w + 5, 2*w = -k + 1. Let h(y) = 3*y - 1. What is the lowest common multiple of t and h(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19517087174.69999157 - 19517089106.7. Let v = k + 1932. Round v to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -842 + 915.7. Let z = p - 73.69999911. Round z to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4020*k + 4065*k - 555 = 345 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 + -11 - (33 + -51).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 60 = -7*v. Let k(d) = -d**2 + 14*d + 5 - 16*d + v*d - 3. What is k(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Let z(g) = j + 2*g**2 + 2*g - 4*g - 2*g**3 - 2*g + 3*g**3. Calculate the lowest common multiple of 5 and z(2).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q + 334 + 62 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 1015196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**3 - 2*j**2 - 50*j + 7. Let b(a) = a**3 + a**2 + 9*a. Let g(m) = 5*b(m) + p(m). Give g(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47234464 is divided by 199301.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 155\/289 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6863 divided by 1034\nAnswer: -6863\/1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5\/3 + 440*x**4 + 1360*x**3\/3 - 3960*x**2 - 3972*x = 0.\nAnswer: -3, -1, 0, 3, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(-10 - -12)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 72*w - 116. Let y(u) = -u**2 + 24*u - 39. Let d(o) = -2*t(o) + 7*y(o). Let c be d(22). Solve z = -c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**3 + a**2 + 9*a + 3. Let b be d(4). What is the tens digit of b\/(-25) + (-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 37*a + 223. Calculate the lowest common multiple of 90 and m(-4).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-5))\/(33\/(-20)). Let k = l + 373\/88. What is the closest to -1 in 2, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + m**2 + m. Let v(h) = -3*h**3 - 4*h**2 - 8*h - 1. Let q(p) = -2*o(p) - v(p). What is the tens digit of q(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12913.1258 rounded to the nearest 10?\nAnswer: 12910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -542 and 11?\nAnswer: -5962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + -d?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502891?\nAnswer: 13, 193, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7642917 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874010375 minus 62?\nAnswer: -1874010437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18824, 21409, 24008, 26627, 29272, 31949, 34664?\n\"Answer: v**3 + v**2 + 2575*v + 16247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106610 - -10?\nAnswer: -106600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q - 14. Calculate h(9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39824 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1054 and 8806?\nAnswer: 272986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000576649838 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 14. Let j(v) be the second derivative of 0 - 1\/2*v**3 + 0*v**2 + r*v. Let w(u) = -3*u**2. Calculate w(j(i)).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2 + (0 - -1). Suppose t + p = 1 + 6, 0 = 5*t - h*p. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319 - 309. Solve -o + b = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 80453.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -949.3 + 625. Let f = 324 + k. What is the nearest to -1\/3 in 15, 1\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3530869565 by 5.\nAnswer: 706173913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1419, -3, -22, 0, 1, 4 in descending order.\nAnswer: 1419, 4, 1, 0, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y - 17. Let p = 2287 + -2282. Give a(p).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/18 and -139\/3072.\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*a - 356*a + 473 = 0. Is a bigger than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -732, -748, -774, -810?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149614 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 15*m = 42. Suppose -2*j + 125 = k, -5*k + 655 = -10*j + m*j. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 6*u**2 + 6*u - 1. Let k be j(5). Suppose -k*a + 265 = a. Is 11 a factor of (-2 - -2) + a + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19226*j + 242575 = 714451 + 277938 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 592*a + 2113. Let x be q(9). What is the greatest common factor of 14 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.242 + -0.028?\nAnswer: 6.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 183032 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 - 7*c + 40. Let g be q(6). Let o = g + -79. What is the third derivative of 31 - 60*w**2 + o*w**2 - 19 + 35*w**5 wrt w?\nAnswer: 2100*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -282, -2, 4 in descending order.\nAnswer: 4, -2, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (1*sqrt(1377) - sqrt(1377))) + -3 + 3 + (sqrt(1377) + -5 + sqrt(1377)*-2)*3)**2.\nAnswer: 540*sqrt(17) + 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 t, and 1 w when three letters picked without replacement from tnwctczcnzczznytt.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -1\/5*q**5 + 2*q**3 - 102 + 0*q + 0*q**2 - 5\/4*q**4. Find a such that o(a) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3483)\/(-351) + (-1)\/(-13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72443?\nAnswer: 7, 79, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22694 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1159*f + 2. Let j(l) = 12*l. What is j(p(q))?\nAnswer: -13908*q + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 190 = 5*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.01 + 19. Let v = x + 0.05. Suppose 4*r = -z + 4, -2*r + 4 = 2*r - 2*z. Which is the nearest to r? (a) v (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 242454189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + -9 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -5*p**4\/36 - 20*p**3\/9 - 25*p**2\/2 - 259*p. Determine h, given that g(h) = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**3\/3 - 2*c**2 + 3*c + 2. Let b = 25 - 22. Suppose d + 10 = -b*j, -24 = 5*j - 2*d - 0. Determine x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*y - 334*y = 2. Solve 5*a + 6 = y*q - 9, 5*a = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - c - 35 = -4*c, -2*c + 6 = -s. Let q(b) be the third derivative of -b**6\/120 + b**5\/20 - b**4\/4 + 2*b**3\/3 + 4*b**2 - 3*b + 1. Calculate q(s).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1763*d + 73170 = -36136 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2, -4, -34, 0, 25 in decreasing order.\nAnswer: 25, 4, 1, 0, -2, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*h**3*k**4 - 143*h**3*n - h**3 - 321*h*k**2*n + 7553*k**4*n + k*n wrt k.\nAnswer: -1320*h**3*k + 181272*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -7*f + 24. Let r(g) = g**3 + 2*g**2 + 5*g - 4*g**2 + 5*g**2 + 5*g**2 - 8. Let l be r(-7). Solve -l*p + 4*p = f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27791, -55583, -83375, -111167?\nAnswer: -138959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5705*d*y**3 - 6*d*y - 141*d + y**3 + y**2 - 2*y wrt y?\nAnswer: 34230*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 - -1051320?\nAnswer: 1051421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2875381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 9. Let c be m(-4). Let q = -9 - 5. Let y = c - q. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62102950?\nAnswer: 2, 5, 7, 13, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*d = -47 - 5504 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11438819 by -5.\nAnswer: 11438819\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 781030828 to the nearest integer?\nAnswer: 27947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - 2*f**5 + 2*f**5 + (1 - 1 - 2*f**2)*(-18*f - 6*f + 5*f)*(-4*f**2 - 2 + 2).\nAnswer: -150*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfwffwfrwf. Give prob of sequence rrf.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.5 + 5.3. Which is the closest to g? (a) 3 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhsrzmhtmmhrhmrm. What is prob of sequence tmsh?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 1:55 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 442019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 5*j**2 - 6*j + 4. Let p be d(4). Let q = p - -15. Let y = q + -7. Solve y*b + b = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0159? (a) 1\/5 (b) 0 (c) 3\/5 (d) 1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 - 2*d + 1. Let m be k(1). Is 1\/m - 738\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/15 in -32\/31, 0.4, -123?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -65, -115, -185, -281, -409, -575?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*j - 0*j. Let p be 2\/(-2)*j - 2. Suppose 0 + 0 - q**2 + 3*q**p - 2*q = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-9))\/((-588)\/(-2646)). What is p in 2*p**v + 0*p + 0 + 3\/2*p**2 + 19\/4*p**3 - 5\/4*p**5 = 0?\nAnswer: -1, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1672, -4, 0, 229, -5 in descending order.\nAnswer: 1672, 229, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2094 - -2484. Calculate the highest common divisor of x and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38346 - 0.39227\nAnswer: 38345.60773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*n + 7. Solve 5 = n*v - 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3 + ((-4)\/6)\/((-10)\/255)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 9*s + 14. Let q be p(10). Solve 0 = -3*f + 2*c + 3*c + 22, -q*c - 24 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 - 4412*i**2 + 61*i + 58*i - 116*i + 4422*i**2 to a + d*i + l*i**2 and give a.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03396 * -8945.\nAnswer: 303.7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.5417389ng?\nAnswer: 0.0000000000005417389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 955.9586mg?\nAnswer: 0.0000009559586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1, -41 in descending order.\nAnswer: 2, 1, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 + 105. Suppose 0 = n - r - 2. Suppose n*g - 52 = -20. Which is smaller: g or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(1*sqrt(2057))**2 - -1*sqrt(2057)*6) + -4 + sqrt(2057) + 2 + (1*sqrt(2057)*-1)**2.\nAnswer: -10285 + 77*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39664 and 11792?\nAnswer: 436304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*p + 7, 4*o = -66*p + 61*p + 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348324151*z**5 - 3789*z - 7273?\nAnswer: -6966483020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from pzfspse?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110329254 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1769890 + 191010 = -80*v. What are the prime factors of v?\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 2874*r**4 + 2872*r**4 - 1 + 48*r - 1 - 10*r + 19*r**3 as x*r**2 + p*r**4 + q + w*r + j*r**3 and give w.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -199*v - 27. Let n(q) = -156*q - 18. Determine -8*n(h) + 5*o(h).\nAnswer: 253*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875579761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 12760*r**2 + 56*r + 2174. Let l(g) = -4256*g**2 - 20*g - 725. Let q(k) = 14*l(k) + 5*x(k). Differentiate q(d) wrt d.\nAnswer: 8432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093958797 a multiple of 7441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.522 - -2.521973. What is a rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104302049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192 + -197. What is the tens digit of 3*k\/3*(-957)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (4 - 18\/2). Let d = -14 + t. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138469?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/40 + s**4\/24 + s**3\/2 - 2*s**2. Let j(k) be the first derivative of m(k). Let a be j(-8). Solve 0*d = -5*d + a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45649, -45644, -45639, -45634, -45629?\nAnswer: -45624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 14*u + 36 = 0. Let x(n) = n**3 + 9*n**2 + 2*n + 20. Let i be x(u). Solve -i*b - 10 = -a, 3*b + b = 3*a - 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.088, -2\/5, -1\/5932 in increasing order.\nAnswer: -2\/5, -1\/5932, 0.088, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x - 1. Let o(d) = 3*d**3 + 3*d**2 + d - 3. Let j = 307 - 310. Determine j*s(w) + o(w).\nAnswer: 3*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 153 + 50?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 - 8*x**2 + x - 2. Give o(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864 and 756.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 48*j. Suppose 3*r - 8 = r. Let a(q) = -7*q. Let s(u) = r*m(u) + 27*a(u). Suppose -8 = -k - 3*k. Calculate s(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22364, 22363, 22362?\nAnswer: 22361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177823 is divided by 11773.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61966036 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(-9843)\/772 + (-7 - -1)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let z = -18 + 19. Let n(k) = 2*k**o + k - k + z. Determine n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-19*w**5 - 28*w**5 + 5*w**5).\nAnswer: 42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**3 - 5*r**2 + 5*r - 5. Let d(b) = 8*b**3 + 3*b - 4*b**2 - 6 - 3*b**2 + b**2 + 2*b. Calculate 5*d(n) - 6*y(n).\nAnswer: -2*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -3.15285.\nAnswer: 3.15285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a1915 (base 11) in base 6?\nAnswer: 43204203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 9 = -a, 3*a = -4*c + 36 - 59. Let d = 0 + -0.13. Let y = d + 0.1. What is the smallest value in 2\/5, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:12 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**3 + 62*o**2 + 12*o - 21. Let y be m(9). What is the third smallest value in -0.3, 3\/7, y, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.41 + -7.41. What is the third smallest value in 0.8, -9, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -253*d**2*v*y**2 + 103339*d**2*v*y + 9*d**2*y**2 + 19*d*y**2 - d*y + 43*d - 104 wrt v?\nAnswer: -253*d**2*y**2 + 103339*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 5. Let v be g(7). Let y be 1 + (-3)\/3*v. Suppose 0 = -0*n + 5*n + 5*h - 200, 2*h = -y*n + 118. Calculate the remainder when n is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 - 3*z + 1. Calculate l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 64, 107, 166, 247, 356, 499?\n\"Answer: k**3 - k**2 + 29*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.2. Suppose 0 = -2*o - 3*o + 5. Let s be 1 - ((-22)\/(-12))\/o. What is the third biggest value in 4, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-94)\/141)\/(2\/(-6))*5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1057429*v**3 + 5*v**2 - 118191*v.\nAnswer: -6344574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = -3*f. Suppose -5*g + 2*r = r - 25, -2*g + 4*r + 28 = 0. Suppose f*c - 124 = s, -58 - 46 = -4*c - g*s. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/2 + 1780*c**2 + 1146175*c\/2 + 38951535.\nAnswer: -5*(c - 966)*(c + 127)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -3. Let h(m) be the first derivative of 4*m**3\/3 - 3*m**2 - 7. Let y be h(k). What is the highest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -342*r + 7568. Calculate x(22).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(57\/(-500))*24\/20. What is the greatest common factor of 150 and h?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14408 at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a - 1. Let p(s) = -15*s - 1. What is -6*p(y) + 13*z(y)?\nAnswer: -y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1231.6, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -84649.3*-42\nAnswer: 3555270.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 + -40 + 53 + -246?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7988523 + 15?\nAnswer: 7988538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 + -2 + 0\/(-1). Let d = -11 + 22. Let g = m + d. Calculate the highest common divisor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704 is divided by 373.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 4*w + 210. Solve -w = 4*a - 27 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 17 - 6 + 17*v**2.\nAnswer: 17*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 5035 - 2424 + 2*t**2 - 2434 as z*t + n + f*t**2 and give n.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -5, 9, 23, 37, 51?\n\"Answer: 14*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**5 + 7818*g**4 + 89753*g**3 + 34650*g**2 = 0?\nAnswer: -11, -2\/5, 0, 1575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 19056269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 25800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 97.165 and 1278813533.\nAnswer: 1278813630.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 319*m + 2269. List the prime factors of w(47).\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 3)*(-l**2 + l**2 + l**3) + 62*l + 19*l**3 - 62*l to u + r*l**3 + j*l + v*l**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y - 70. What is h(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 209. Suppose -16 - x = -3*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 8. Let y be x(-9). Let g be (-4)\/(-42)*3*7. Suppose 0*k - g*k - 4*l - 2 = 0, 5*k - 4*l + 33 = 0. What is the smallest value in -1\/7, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/523 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2389*z - 14698521 + 14698521)*(-2*z - 1 + 1) + 4*z**2 - 3*z**2 + z**2 in the form d + a*z**2 + u*z and give a.\nAnswer: 4780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-7)\/(-28))\/2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - l = 28*g - 17, -2*l + 1 = -3*g. Let m = 4 - 0. What is the lowest common multiple of m\/(-8) + (-31)\/(-2) and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*sqrt(78))\/(sqrt(486) + 4*sqrt(486) + sqrt(6) - sqrt(6)).\nAnswer: 5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18293 is divided by 208?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 26*f**3\/3 + 2*f - 10. What is the first derivative of h(v) wrt v?\nAnswer: 52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssshshsss. What is prob of sequence ss?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4160765.4 to the nearest ten thousand.\nAnswer: 4160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6 - 1\/2. Let m be (n\/3)\/(2\/18). Suppose m*k = 12, 8*s - 3*s = k + 11. Solve s*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 6, a: 1, e: 2, o: 2}. What is prob of sequence ueeo?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) -1\/3 (d) -0.2 (e) 0.37 (f) -325\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001241235 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -26812 < -26803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*b + 349 - 19 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-63)\/693 + 301\/44. Sort b, -2, -0.1 in increasing order.\nAnswer: -2, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1804580000 rounded to the nearest 1000000?\nAnswer: -1805000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1)\/4) - ((-500)\/(-5))\/((-10230)\/(-396))?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*i + 5095 = 0, -2*r - 2*r + 6840 = -5*i. Suppose 22*a = -9*a + r. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-12)*(-1482)\/(-152).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -33, -42, -51, -60?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 841.3772 micrometers to nanometers.\nAnswer: 841377.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n - 5. Let l be w(-2). Suppose -5*g = -x - 431 - 3, 353 = 4*g + l*x. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -172688472, -345376944, -518065416, -690753888, -863442360?\n\"Answer: -172688472*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28058230 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37961 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5 or -1.29?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 6, 1\/16, 0.2?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + n + 12. Let l be k(-7). What is the greatest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a + 36. Let q be l(6). Suppose 0 = -5*z + 5*f + q, -f + 15 + 37 = 4*z. What is the lowest common multiple of z and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0630292 times 0.3?\nAnswer: -0.01890876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5 = -3*d - m, 0 = -4*d - 4*m + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*w - 22*w + 39*w + w**5 - 2*w**4 + w**5 + 2*w**4 + (4*w**2 - 5*w**2 - 2*w**2)*(w**3 + 4*w**2 - 4*w**2).\nAnswer: -w**5 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5340 divided by -1\nAnswer: 5340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.05 + -4.45. Let u = -1 + 1.04. Which is the third smallest value? (a) u (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Suppose y*l - 4 = -5*h - 3, 4*h - 20 = 4*l. Solve m = -h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -60*j**4 - 1498*j**3 + 78326*j**2 - 533940*j - 731808 = 0?\nAnswer: -264\/5, -7\/6, 11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 - 1.84. Let b = -0.06 - v. Let d = -0.02 - b. Is d > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 29850a5?\nAnswer: 29850a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from fcmmycmymfyymfffccym?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 5*t**2 + 8*t + 11. Give m(-7).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z, 5*z = -5*v + 2*v. Suppose 0 = -2*m + m - 4, -3*m = -g + 32. Solve g = -3*p - v*p + 5*s, s + 24 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 0 + 0)*(26*b + 14*b**2 - 26*b) + 3*b**2 - 3*b**2 + 2*b**3 + 2*b**3 + 0*b + 0*b + (3*b - b - 3*b)*(1 - b**2 - 1).\nAnswer: 47*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 418 and 8.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33655 + 82268. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 353 = m. Suppose -5*o + a = -m, -3*a - 2*a = 5*o - 320. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7 + 4*q**3 - 4*q**3 + 0*q**3 - 3*q + 6*q**2 - q**3. Let n(x) = -x**2 + 8*x - 7. Let u be n(6). Is i(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - -51 - (-10 + 24) - -36 - -5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - u + 7 = 0, 3*m = 5*u - 4 + 41. Let d(p) = -p**3 + 5*p**2 - 4*p + 8. Let g be d(m). Solve -4*r + 6*r = -g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25969542 and 912?\nAnswer: 207756336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-352)\/14)\/((-8896)\/(-15568)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.6967 rounded to 1 decimal place?\nAnswer: 61.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p - 4. Let l be a(-3). Put l, -2\/5, 4 in ascending order.\nAnswer: l, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13300 (base 4) to base 5.\nAnswer: -3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.433406 litres to millilitres.\nAnswer: 6433.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11116 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: Suppose -2*z = -6*z + 336. What is the highest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 14*a**2 - 15*a - 231. Let f be z(16). Solve -25 = -f*r + 46*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -100000010000001?\nAnswer: 100000010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 6, 153\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*-39092\nAnswer: -117276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)*h)\/h**(2\/33) assuming h is positive.\nAnswer: h**(-464\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 10. Suppose -7*f + 15 + 6 = 0. What is the lowest common multiple of t(f) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/6 - 2)*15\/(-10). Suppose -d = 1 + 2. Calculate the remainder when 1 is divided by d + 2\/n - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.87 - -0.07. Let s = 1 + b. What is the nearest to -1 in s, 5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.1 - 7. Let m = -41\/210 + 2\/21. Sort i, 0, m in decreasing order.\nAnswer: i, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.522*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526680 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1308 rounded to three decimal places?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(117))*6.\nAnswer: 12 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b41d + -2?\nAnswer: 2b41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99920 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24940 = 1041*v - 1621*v for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*a - 3*a = -35, -3*a - 43 = -2*c. What is the least common multiple of c and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*u**4 + 90*u**2?\nAnswer: -2760*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65753 + 5?\nAnswer: -65749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -157114*m + 157114*m - 14*m**3 - 57 - 2*m**2 as v*m**3 + y*m + u*m**2 + s and give s.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o, -4*l + 3*l - 2*o + 5 = 0. Suppose -3*b + l*p + 2 = -2, -20 = 5*b - 3*p. Let d be (-2)\/(b\/(-2) - 4). Solve 6*x = 2*x + d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Suppose -5 = -m - o. Solve 1 = j - m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -24. Suppose -5*g - 19 = 15*g - 99. What is the second smallest value in g, 0.1, 0.5, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230 times 24725?\nAnswer: 30411750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4985*k - 1641. What is the units digit of r(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 + 7*d**2 + 7*d + 9. Let n be b(-4). Round n to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 + 11*o - 5. Let v(w) = w**2 + w - 1. Let z(c) = -6*v(c) + x(c). Let h be (-1 - 1*(-9)\/(-3))*1. Calculate z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230000 (base 4) to base 9.\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 10. What is the common denominator of x and -49\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*d + 533*d + 1267*d = 9330 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 0.143, 0.1, 4, -2 in descending order.\nAnswer: 4, 0.143, 0.13, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*r - 2823*r - 1132*r.\nAnswer: -4115*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 53192.6 and 1505133?\nAnswer: 1451940.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**2 - 15*k + 5. Is z(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2. Let p(j) = -j**2 - 53*j - 210. Let o be p(-5). Let s(m) = -o*m + 93*m - 37*m - 29*m. Determine s(b(r)).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.13, -1\/184, -0.5, 5, 3\/4, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -2\/3*v**3 + 0*v**2 - 3 - 9\/7*v**7 + 0*v**5 + 0*v**6 + 0*v + 0*v**4. What is the third derivative of w(o) wrt o?\nAnswer: -1080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 3363605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.01 in -2\/17, 3, -2, 2\/9, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2446 - -2467.47. Let r = -12.74 + c. Let f = -0.27 - r. Is f > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -71\/5. Let w = -81 + 66. Let s = -16 - w. Sort -2\/9, s, b.\nAnswer: s, -2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 16.4. What is the closest to -1 in 3, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 52.99999936. Round j to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20353 (base 7) to base 14\nAnswer: 1b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -610.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881 = -103*g + 41*g - 235 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225 (base 7) to base 13.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -47*k + 138. Determine n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -35*m - 34. What is the remainder when 135 is divided by g(-3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9907080 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 83296*z - 333140. Determine m(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -771, -780, -777, -756, -711, -636?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)*j)\/(((j\/(j**(6\/7)\/j))\/j)\/j) assuming j is positive.\nAnswer: j**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqu when three letters picked without replacement from {u: 1, n: 1, r: 4, q: 1, l: 2}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1751340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-7 + (-7 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000569790411 to seven dps.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 270 - -271. Suppose 3*i = 2*i + l. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**5\/20 - 7*n**4\/12 + 7*n**3\/6 - 3*n**2\/2 - 71*n. Calculate c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/12 - 5*w**3\/6 + 3*w**2. Let g(q) = q + 6. Let p(n) = 3*g(n) + 2*j(n). What is p(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287530974 to the nearest integer?\nAnswer: 16957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/3, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + 1*((-2*(sqrt(252) - sqrt(252)*-1) - sqrt(252)) + -4))**2*3*-2.\nAnswer: -38288 - 3240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/((-26)\/(-13))*9\/(-15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/(-86)*2*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let n(m) = 6*m**2. Let t(a) = 6*b(a) + 2*n(a). Let u(l) = 3*l**2. What is t(u(o))?\nAnswer: 54*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-11 - 121) - 116.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78908815\/4092 + -57851\/3. Find the common denominator of 53\/18 and w.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04459747 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.5 rounded to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 44521915*s**2 + 445218775*s + 1113046625.\nAnswer: 5*(s + 5)**2*(s + 8904373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, 2, -7 in ascending order.\nAnswer: -7, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 92*g + 39. Let t be z(31). Suppose t*y - y = 126. Suppose 3 + 1 = 2*x. What is the highest common factor of x and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76819\/27 - 2843. What is the common denominator of -149\/72 and p?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 11*h**2 - 111*h - 338. What is o(-6)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**3 + 7*n**2 + n + 4. Let g be q(6). Let v be (16\/20)\/(22\/89760). Let f be g\/(4\/(v\/(-2))). What is f rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from {g: 7, j: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Suppose m*d + 8 = -2. Let z be 1*-3 + 2 + (0 - d). Which is greater: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29c + 1a?\nAnswer: 2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g - 88. Let y be h(6). Let b be (-30)\/12*-2 + y. Solve -3*m - 13 = -b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 39, 41, 39, 33, 23, 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 3062*s**3 + 3059*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 - 2*b**3 + 0*b**3)*(3*b + 2*b - 6*b + (-3*b + b + 3*b)*(-1 + 3 - 1) - 3*b + 2 - 2 + 364*b + 511*b - 1138*b)*(2 - 2*b - 2).\nAnswer: 1064*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.05 - 5.85. What is the second biggest value in 2\/7, c, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110 - -32032213232?\nAnswer: 32032222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6033*v - 42218. Determine b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 18*o. What is the hundreds digit of r(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2108 - -73796\/35. What is the common denominator of -64\/35 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-168) - ((-3768)\/126 + -6). Suppose -4*k = 0, 2*y - 3*k + 2*k = 96. What is the greatest common divisor of y and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) - (sqrt(11) + sqrt(891) + -4)) - -6*((0 + sqrt(11))*-2 + sqrt(11))**2.\nAnswer: -27*sqrt(11) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(2 - 39\/21). Let j = 98 + c. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/85 in 71\/2, 2, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 102\/119*3\/((-45)\/(-42)). Let 0 + m*s**2 - 18\/5*s**3 - 2\/5*s = 0. What is s?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30.1008 and -0.2.\nAnswer: 6.02016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 6. Let v be m(14). Suppose -5*w + 28 = v. Sort 2, -3, w in descending order.\nAnswer: w, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -1096 - (-59 + 44). Which is bigger: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5253350680.\nAnswer: 2, 5, 7757, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 226\/46 + 4\/46 + 35. Solve -3*j = -3, 4*r + 47 - t = -5*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 743, 542, -3 in descending order.\nAnswer: 743, 542, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -3*y + 1\/2*y**3 + 5\/2*y**2 + 0. What are the prime factors of d(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5279062*t**5 + t**4 + 56502176*t**2 wrt t?\nAnswer: -316743720*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h**(-2\/3))\/h*h*h)\/h)\/h)**(-36)\/(h**6\/(h*h*h**(2\/7)*h*h))*(h**(-1))**(-7\/3)\/((h*h**(-1\/6)*h)\/h**(2\/23)) assuming h is positive.\nAnswer: h**(-4227\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008999102155 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((-2 + sqrt(2057) + 0 + sqrt(2057))*5)**2 + -1)*3 + -3).\nAnswer: -3704364 + 39600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 12) to base 3\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31886?\nAnswer: 2, 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/1 - (-2 + 4). Suppose 20 + 0 = 4*x. Solve 12 = -g*w + x*l, 0*w + 3*l = w + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -0.3. Let b = 1095 + -1094. What is the smallest value in 3, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 480415 and -5?\nAnswer: 480420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6643923.7 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542 = 4*s + 6*i - 588, -s - 11 = -i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 8*i + 1. Let x be c(8). Let u(m) = 184*m**3 + m**2 - 3*m + 4. List the prime factors of u(x).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 156*s + 134 - 236. Is -227 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*u - 4*u - 57 = 0, 2*r + 2*u = 60. Let c be (85\/(-2))\/(9\/(-6)). Let j = c - r. Which is bigger: j or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.10208 - 0.03208. What is the nearest to n in 0, 3, -4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 15*o. Let j(c) = -5*c**2 + 22*c. Determine -7*a(q) - 5*j(q).\nAnswer: 4*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4436*a + 3989 - 3990 - 4431*a + 8885*a.\nAnswer: 18*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 512530*f + 45.\nAnswer: -512530*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242 - -143?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/5))\/a)\/a**0)**(-6\/5)*a*a**(-4)*a*a*a**(1\/5)*a*a*a\/(a\/a**2)*a*a**(-3\/2) assuming a is positive.\nAnswer: a**(111\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*p, 3 = 2*c - c + p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*(-10)\/240 - (-132)\/8. Solve 1130*h - b = 1122*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 21*r**4 + 2*r**2 - 2*r + 14. Let f(k) = -k**2 + k - 1. Let v(n) = -2*f(n) - w(n). What is the first derivative of v(j) wrt j?\nAnswer: -84*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 1\/5*o**5 - 139*o + 0*o**2 - 1\/2*o**4 + 1\/5*o**6 + 0 - 2\/3*o**3. Factor l(c).\nAnswer: 2*c*(c - 1)*(c + 1)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 317*w**2 - 641*w**2 + 323*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.9 + -7. Let v = 2.1 + a. Let i = 0.4 - -0.6. What is the third biggest value in -2\/9, i, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - (-6 + 4) - (2 + -5). Is (v - 16) + (-5)\/(10\/(-24)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*o + 113*o - 7695. Calculate the remainder when o is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39115 is divided by 544?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.013035331974+-4\nAnswer: -4.013035331974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20760, 44447, 68136, 91827, 115520?\nAnswer: 139215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - 4*h**5 + 4*h**5 + (0*h**2 - 4*h**2 + 2*h**2)*(5*h**3 - 20*h + 20*h).\nAnswer: -9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21617366?\nAnswer: 2, 3037, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/(-21)*63\/(117\/(-13)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5)**(-3\/2)*(u**(-1\/2))**46)**1 assuming u is positive.\nAnswer: u**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r + 8*r. Let z be 1\/((-12)\/44) + (-2)\/6. Which is the second smallest value? (a) 3 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1709 or -13669\/8?\nAnswer: -13669\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1276)\/(-116)*3\/(-33)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 200 - -5?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461896 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 3. Let l(j) = 153*j + 19. What is l(w) - 6*v(w)?\nAnswer: 159*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -763 - -17a?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/405204 and -143\/1418214?\nAnswer: 2836428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 37?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 71 + 459 = 0. What is the remainder when (l\/(-4))\/(5\/10) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**(-1\/2))\/w))\/((((w*(w**(1\/9)*w)\/w*w*w)\/w)\/w)\/w))\/(w**12)**39 assuming w is positive.\nAnswer: w**(-8399\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1926208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20743*q**2 - 22377*q?\nAnswer: 41486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 221, 362, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2))**(-2\/61)\/(o**(-3))**(-4\/17))**(2\/35) assuming o is positive.\nAnswer: o**(-286\/7259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**1)*d**(-1\/2)*(d*d*d\/(d*d**1*d))\/((d**6*d)\/d*d) assuming d is positive.\nAnswer: d**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2237092 and 310093?\nAnswer: 310093.2237092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntpvmtntnv. Give prob of picking 1 p and 1 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*j + 5*j = -52, 104 = 5*n + j. Let t be -1 + 3 + -2 + 6. What is the lowest common multiple of n and (12\/1)\/(9\/t)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (25 - (-11 + (21 - 4)) - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 25*i**2 + 2*i - 65. Determine l(25).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*i**4 - 3*i**3 + 0*i**3 + i + 33*i**2 + 214*i**2 - 24*i**4 + 24*i**2 to the form o + p*i + b*i**4 + h*i**2 + k*i**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12194*o + 4463011. What is d(-366)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - 2*b + 7, -5*r + b + 46 = 0. Let j be 0\/(0 - 2) + -3. Let o(m) = -2*m + 3. What is the smallest common multiple of o(j) and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0314 times 0.324702?\nAnswer: 0.0101956428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-6) - (-7)\/(-2). Let r(t) = -t**3 - 8*t**2 - 6*t + 9. Let d be r(-7). What are the prime factors of d*(-11)\/w + 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*p + 12. Let k be (-1)\/2*(-6)\/3. Let w(f) = 5*f - k - 1 - 54*f**2 + 52*f**2. Calculate w(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) - (sqrt(242) - sqrt(242)*3)) + 0)*4)**2.\nAnswer: 34848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4311 + 6540. Calculate the smallest common multiple of 27 and s.\nAnswer: 97659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2 - 466*g - 12864 = 0.\nAnswer: -201, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -299047859, -299047858, -299047857, -299047856?\n\"Answer: t - 299047860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1296)\/(-168))\/(3\/(-7))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31816 is divided by 203?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(-2\/7))*(g\/(g\/((g**(3\/2)\/g)\/g)*g))\/g)**(-1\/12)\/((g**(1\/4))**20)**(11\/8) assuming g is positive.\nAnswer: g**(-569\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 3 + (-5 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 18 in decreasing order.\nAnswer: 18, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + s + 4*s - 1696 = 0, 0 = 2*h - 5*s - 3467. Suppose 0 = -4*c + h + 1155. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = y, -5*h + y = -0*y. Let t = 8 + -3. Suppose 2*v - v - 6 = 0. Solve -v = -5*w - 3*b, w - 3*b + t*b + 3 = h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -375, -367, -353, -333?\n\"Answer: 3*p**2 - p - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -3*b**2\/2 - 3*b + 14. Let i(g) = 2*g. Give i(u(p)).\nAnswer: -6*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-10))\/(2\/(60\/(-18))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + 0)*(-36)\/(-60). Solve 6*l - j*l - 5 = -4*x, 2*x = -4*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(14)\/sqrt(2))**2 + 1 + sqrt(63) + 5.\nAnswer: 6 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + 1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14901.261 - 14894. What is a rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.1 (c) -2 (d) -6\/5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 486551 (base 13) to base 12\nAnswer: 6b3a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1341)\/(-18)*(2 + 6\/21). Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -61.9224. Let i = l - -0.08. What is i rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 - 2*q - 7. Let p be b(0). Let c(x) = 4*x + 37. Let m be c(p). Sort 2, m, 1 in decreasing order.\nAnswer: m, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**4*w + 80*n**3*w - 11*n**3 + 8*n**2*w + 3820*n**2 wrt n?\nAnswer: 168*n*w + 480*w - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6)*80*1. Let q be (-84)\/(-10) - 16\/a. Solve -q*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n - 4. Let f be (-55)\/15 - 2\/6. Let t(p) = 8*p - 2. Let i(c) = -c. Let u(b) = -3*i(b) - t(b). Calculate f*x(j) - 7*u(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + (sqrt(1100) + 0 - sqrt(1100)) + sqrt(1100) + (sqrt(1100) - (-2*sqrt(1100) + sqrt(1100))) + 1 + 4*(-1 + sqrt(1100) - sqrt(1100))*-3)**2.\nAnswer: 1080*sqrt(11) + 10224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*x - 9*i, -2126*i + 2122*i = x - 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 33 = 12*l - 17*l, 5*x = -l - 33 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgytppjpp. Give prob of picking 1 p, 1 y, and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 21*y - 2. Let z(x) = -431616*x. Determine z(j(k)).\nAnswer: -9063936*k + 863232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 66\/808969?\nAnswer: 66\/808969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g + 33. What is a(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141290, 282592, 423894, 565196?\nAnswer: 706498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 426 and 298839.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536) + -4*sqrt(1536)*-3)\/(1*sqrt(363) - sqrt(363) - sqrt(192)*-2).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31108 and 44749.\nAnswer: -1392051892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4876278*g**3 + 414*g**2 + 36237*g - 1 wrt g?\nAnswer: 29257668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0443 - 0.1443. Suppose 3*n + 9 = -2*h, -2*h + 4*n + 0*n = -12. Sort h, r, 0.2.\nAnswer: r, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/((-1674)\/(-81))*8\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, t: 3}. What is prob of picking 2 t and 2 b?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-30) + 62\/12. Let g(p) = -p**2. Let d(w) = -3*w**2 + w + 2. Determine n*g(u) - d(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((2*sqrt(114) + sqrt(114))\/sqrt(6) + 1 + sqrt(931) - (sqrt(228)\/(sqrt(12) + sqrt(12)*-2) + 4)) + -2)**2*1.\nAnswer: -110*sqrt(19) + 2322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 2*t - 3*t + 18)*(7*t**2 - 24*t**2 - 2*t**2) in the form c*t + h*t**3 + s*t**2 + y and give s.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let k be y(0). Suppose k = -2*l - 0*l + 6. Suppose -2*w = -l*v + 25, -7*v = -2*v - 4*w - 39. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 21*w**2 - 41*w - 9. List the prime factors of d(14).\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -8, -5*w = 4*l + 619. Let u = l - -313. Let q = u - 9. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from {u: 8, p: 2, n: 1, t: 2, x: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 - z + 9. Let s(y) be the second derivative of y**4\/4 + y**3\/6 - 9*y**2\/2 + 11*y - 1. Give 6*s(g) + 5*w(g).\nAnswer: -2*g**2 + g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(931) + 1 + (sqrt(931) - (sqrt(931) + 0 + sqrt(931))**2) + 5.\nAnswer: -3715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05097776 to three decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and (20\/16)\/1*(1 - -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1507 or -7.1?\nAnswer: 2\/1507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*h + 48*h - 34*h)*(-4*h + 3*h - 4*h).\nAnswer: -310*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -8*o + 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11. Suppose 4*m = -3*i + 8, -m - 2*i + 2 = -k. Suppose -3*d + 317 = d - 3*j, 0 = -4*d + m*j + 314. What are the prime factors of d?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*s = 8518, 4*p - 8460 - 56 = -4*s. Let m be (-2)\/(((-36)\/p)\/(3\/(-10))). Is -37 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -18*y + 6 + 5 - 11. Let n(l) = -2*l. Determine x(n(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r + 1212 = 42*r - 165 - 1383 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.026 from -294221.7211.\nAnswer: -294221.7471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34840\/63 + 553. Let b = g + -121\/315. Let x = -1 + 1. Which is greater: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -401 <= -400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5\/2 + 3877447*c**4\/2 - 19387213*c**3\/2 + 11632321*c**2\/2 + 9693607*c - 7754884 = 0.\nAnswer: -1, 1, 4, 3877442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6055*l + 1519498*l**3 - 1525667*l**3 + 2*l**2 - 2*l**2 wrt l?\nAnswer: -37014*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -19262 + 9*f**2 - 2*f**3 + f**3 + 11*f + 19243. What is u(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*c - 11 = 0, 5*q - 85 = -c - 3*c. Let b = -3 - 3. Let s = q + b. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 1\/30*x**5 + x - 3*x**2 + 0*x**3 + 0 + 0*x**4. Let t(d) = 137*d. What is z(t(i))?\nAnswer: 37538*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -15204.26 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((656\/(-410))\/((-30)\/(-25)))\/(56\/(-63))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19885\/7 - -2841. Factor 0*b**2 - a*b**3 + 0*b + 4\/7*b**4 + 0 - 2\/7*b**5.\nAnswer: -2*b**3*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 + 2. Let j(l) = -6*l**2 + l - 2. Give 5*j(u) + 4*o(u).\nAnswer: -2*u**2 + 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*m + 5*w, -14*m = -15*m + 4*w - 15. What is the biggest value in 0.3, 0.2, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5 + 7395*h**3 - 54*h**2 + 27858015*h + 1 wrt h?\nAnswer: -20*h**3 + 44370*h - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - 1.98. Let v = -1\/24503 - 48965\/1004623. Which is the closest to -0.1? (a) 1 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**3 + 17*m**2 - 11*m + 3. Let r = 435 - 424. Let d(f) = -92 - 6*f**3 - 6*f**2 + 41 + 50 + 4*f + 3*f**3. Determine r*d(k) + 4*a(k).\nAnswer: -k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 13*n**2 + 115*n - 28. Let h(o) = 19*o**2 + 172*o - 42. Let m(g) = -5*h(g) + 7*q(g). Suppose m(w) = 0. Calculate w.\nAnswer: -14, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -523.0674 + 0.0674. Let y = -522.899 - c. Put y, 2, 5 in descending order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -69, 1, 22 in descending order.\nAnswer: 40, 22, 1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 19, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*b + b**2 + 215*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7623 divided by -65?\nAnswer: 7623\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*z + 138227 + 7627 = 0. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h**2 + 13 - 13.\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (237\/330)\/((5 + -2)\/(-3)) and -25\/14?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9327, 37296, 83919, 149202, 233151, 335772?\n\"Answer: q**3 + 9321*q**2 - q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3388 + 47451\/14. Find the common denominator of d and 107\/390.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z + 0*z)*(-23*z + 2*z + 3*z) + 5*z - 5*z - z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153 - 120. Calculate the highest common divisor of 55 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 11. Let n be q(10). Let h be (-1 - n) + (-48)\/(-22). Which is the third smallest value? (a) h (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5578411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -12*l**3 - 9*l**2 - 8*l - 5. Let h(d) = -33*d**3 - 25*d**2 - 22*d - 13. Let k(r) = -3*h(r) + 8*n(r). Calculate k(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-30)\/16*-220*48\/30 is divided by 104?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*t - 5*j = -694*t - 35, -7 = t - j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*z**2 + 232*z - 23*z**2 - 38*z**2 - 4*z**3 - 4*z**4 - 38*z**2 - 76 + 92*z**3 = 0. What is z?\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 82 - 163 - 11*h - 61. Let r be f(-13). Which is bigger: r or -12\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 531*v**4 - 49*v**2 + 6*v + 5754758 wrt v?\nAnswer: 2124*v**3 - 98*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 712, -123, 3\/29?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(187))\/sqrt(11) + ((sqrt(272) - (sqrt(272) + -1))*-2)**2.\nAnswer: 5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1692879788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y = -30. Let x = 9 + y. Suppose -3*z = x*w + 12, -z = -4*w + 4*z + 20. Solve 4*f - 2 = 2*t - 22, w = f + 2*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/9 - 10*a**4\/9 + 38*a**3\/3 + 962*a**2\/9 + 2320*a\/9 + 200 = 0. Calculate a.\nAnswer: -5, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 6)*(-19*b**5 - 19*b**5 + 15*b**5) + (6*b**4 - 3*b**4 - 4*b**4)*(b - b + 2*b).\nAnswer: -48*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/20 in -0.181, -1\/81, 0, 4?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310310562?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (25\/15)\/(((-180)\/(-8))\/9)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, j: 2, u: 1, l: 4}. What is prob of sequence ll?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 5*h**2 - 8*h + 7. Determine r(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 - 68*k**2 - 880*k = 0.\nAnswer: -10, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -4 (c) -1\/2 (d) -215 (e) 4\/3 (f) -4.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80392636?\nAnswer: 2, 23, 41, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from ttxtxtzzzzkkt.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/2373 and -45\/644?\nAnswer: 218316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-16 + 1128\/72).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -8*o + 36. Let g(i) = 22*i**2 + i - 12. Let a be g(o). Suppose a = -32*q + 41*q. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355928 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*j, j = -11*r + 8*r + 20. Solve -r*w + a + 1 = -a, -11 = -4*w + 5*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:48 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 0) + (-31 - 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -23*u**3 - 2*u**2 + 1. Let h be f(1). Suppose -4*m = 2*i + 82, -5*i + 94 = -107*m + 104*m. Let p = m - h. Which is smaller: 2\/49 or p?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41086334 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 235 - 235.12. Let y = 70 + -72.88. Let q = p + y. Which is the closest to 0.1? (a) q (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6*o = 5445. What is the highest common factor of o and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75633 is divided by 24026?\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2914 - 1459 - 1472.\nAnswer: -2*r - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, a: 3}. What is prob of picking 1 q and 3 a?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.152 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10300040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -16\/213?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -61, -3 in descending order.\nAnswer: 0, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19)*1 - sqrt(19))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 2*m + 18. Let g(c) = -7*c**2 + 3*c - 36. Let s(w) = 3*g(w) + 5*v(w). Let u be s(0). Does 9 divide (0 - u)\/(15 - 14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.485 - -0.485. What is the second biggest value in 171, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + -16 + 5 + 12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and 0.01697.\nAnswer: 9.01697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 15 = -12*y. Suppose z = 5*p + 1, -4*p - 3*z - 20 = -4. Let c be (1 - 0\/9) + 3*1. Sort p, y, -4, c in descending order.\nAnswer: c, p, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(27\/(-30))*(9 - 750)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -9. Let z = h - 16. Let i(o) = o**3 - 8*o**2 + 8*o - 4. Let f be i(7). What is the closest to 1\/2 in 1\/4, z, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3254*k + 27 = -3*j + 3257*k, 0 = -10*j - k - 134 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/4 + 13*j**3\/3 + 5*j**2 - 11*j - 633. Determine w(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15323789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -626*c**2 - 17*c + 18. Let s(i) = -221*i**2 - 6*i + 6. Give -11*s(m) + 4*w(m).\nAnswer: -73*m**2 - 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 5, -2, 1.3, -1\/3, 0.4 in increasing order.\nAnswer: -2, -2\/5, -1\/3, 0.4, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 2*y - 3*y - 6*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q. Let h(c) = 24 - 6*c + 22 - 44 + 22. What is f(h(u))?\nAnswer: 36*u - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 115 = 5*j, 20 = -2*j - 3*s + 66. Suppose j*z = 24*z - 4. Solve 0 = -t - z - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/415 in 5, 4\/5, -5, -2, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(320) + sqrt(320) + 5 + -3 - -2*(1 + sqrt(80))*2) + -4)**2.\nAnswer: 480*sqrt(5) + 8036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200010 - -11?\nAnswer: 2200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1489?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and 33558?\nAnswer: 33546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h - 3*h + 3*h to the form r*h + m and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10160 divided by -1016?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/4)\/(3\/8). Let j = -6 - d. Suppose -3*s - 4*h - 20 = 0, h + 5 = s - j*h. Solve -t - 3*t = s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 8.2?\nAnswer: -32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1349*j. Let y(n) = -228*n**2. What is l(y(t))?\nAnswer: 307572*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3655 and 1932764.\nAnswer: 9663820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 0.3 (c) -0.5 (d) -6\/5 (e) 2\/13 (f) -4 (g) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(6\/(17533 - -5)). Let h = p - 1486. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 10:20 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3376 + 3778. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + -6 + (12 - 6 - 3) + 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2*-2)\/(3*(-2)\/(-60)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 173, 0.019, 2 in ascending order.\nAnswer: -4, 0.019, 2, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 913 = 5*q, 6*z = 2*z - 3*q + 873. Suppose 162 = 8*k - z. Calculate the remainder when k is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**3 - 28*i**2 - 65*i + 113. Let o(z) = 2*z**3 + 9*z**2 + 22*z - 38. Let r(q) = 3*b(q) + 8*o(q). List the prime factors of r(16).\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 7*w - 3. Suppose 2*z - 3*z = -40. Let a be 22\/8 + -2 + (-3077)\/(-68). Let p = a - z. Determine m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163870*b**4 + 5*b**3 + 191512*b**2.\nAnswer: -3932880*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1068 - 184760\/173. Is 0 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7709095 to the nearest integer?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669361354 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -198*d**2*g*z + 13*d**2*z + 360*d*g*z + 973*d*z with respect to g.\nAnswer: -198*d**2*z + 360*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (87 - 28 + 49)*(3 - 5 + 20*l - 10*l) in the form z*l + c and give z.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1500 and 900?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 185, 659, 1485, 2747, 4529, 6915, 9989?\n\"Answer: 14*h**3 + 92*h**2 + 100*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -6.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-21) + (-7150)\/(-14). Suppose 0 = o - 3*o - 10, -4*o = m - c. Suppose -2*d + 0*d + 5*b = -m, -4*d = -2*b - 1054. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1422 - 922. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 11cac?\nAnswer: 11cb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3356.\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -20*r. Let t(m) = 5*m**2. Calculate n(t(u)).\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + w**2 + (-4*w + 4*w + 2*w)*(-w + 4*w - 2*w) - w**2 + 0*w**2 + 3*w**2 - w - w**2 + w - 124*w**2 + 8*w**2 - 82*w**2)*(-30 + 6 + 0).\nAnswer: 4656*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 552966 divided by -46?\nAnswer: -12021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 364 + -362.43. Let i = 1.87 - g. Put 3, i, 4 in increasing order.\nAnswer: i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(76) + -5.\nAnswer: -8 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 560.6126ml in litres?\nAnswer: 0.5606126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000372 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 2:28 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 1296, 2945, 5304, 8403, 12272?\nAnswer: 16941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away -206.94778?\nAnswer: 197.94778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + q = -1723, 2*s + 0*s - 860 = 2*q. Let b = s - -6. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1115*x**2 + 35*x + 149. Is q(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -361, -27, 43\/3, 8 in increasing order.\nAnswer: -361, -27, 8, 43\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202411859441\/104 + -1946241396. Let j = u - 26484. Let g = j + 1\/104. Sort g, 0, -3 in descending order.\nAnswer: 0, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*x - 22 = 0, 2*s - 3*x + 22 = 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 52 (b) 2938 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4928 (b) -3 (c) 5.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, b: 5}. Give prob of sequence qqqb.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = 4. Let a be (-1)\/1 + -3 + z. Factor 0*n + 1\/3*n**5 - n**3 + 0 + a*n**4 + 2\/3*n**2.\nAnswer: n**2*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-7 + 4))\/2. What is the closest to 2 in l, -2\/17, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -877283636*b + 6*b**2 + 877283636*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 2.55931.\nAnswer: -2.44069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9)*3 - 455\/705. Let b = -185\/141 - q. What is the closest to -0.1 in 1, b, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33155244917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyeyttyttttttte. Give prob of picking 1 y and 2 e.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*p**3 + 2*p - 171*p**4 - 2 + 13*p**3 - 8*p**4 + 15*p**3 to the form q + u*p**2 + n*p**4 + c*p + d*p**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 15. Let p be (-3*1\/d)\/(6\/8). Suppose -3*g + 2 = p*n, g - 2*n - n = 19. Solve -g = 5*h - 3*k, 1 = 4*k + 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:18 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2512 + 2512. Solve h = -6*c + 16*c - 30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-5)*(-15)\/6 - -477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*r = 79*r - 38. Put 0, -98, r, 3 in ascending order.\nAnswer: -98, 0, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y - 12 = 49*y. Suppose -n + 4*q = -y, 0*n = 5*n + 3*q - 14. Solve -4*l = 3*w - 10, -4*w = n*l + w - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.55 + 3.55. Which is the closest to r? (a) 3 (b) -2\/25 (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174571412 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20\/8*-1*(-4)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*n = -402*n - 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-40 - -143) + -38\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 1) + -81 + 86\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 9, d: 8}. Give prob of picking 2 p.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/((-2)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3066, 2600, 898, -2658, -8686?\nAnswer: -17804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 0.5, 0.3, -65?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*y - 2 - 29 = 4*y, 4*y - 18 = 2*c + 3*y for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 1476 = 108*r + 84*r - 143*r for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4084545 milligrams in nanograms?\nAnswer: 408454.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*d**5 - 185*a*d**3 + 143*a*d + 3*d**2 wrt d.\nAnswer: 120*a*d**2 - 1110*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 22*p - 28 + 16 - 11. What are the prime factors of l(13)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521832 is divided by 15813.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 - 138 + 9*z**3 + 4*z**2 - 1 - 3*z**2.\nAnswer: 20*z**3 + z**2 - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**2 - 29*c**3 + 156*c - 97*c - 58*c as i*c**3 + v*c**2 + r + g*c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5205241387?\nAnswer: 19, 41, 6681953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 2*w)*(-10079 - 5317 - 5344 - 16798 - 8335 - 6355).\nAnswer: -52228*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10\/77 (b) 1\/4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 + 3*z + 6*z**2 - 3*z in the form m*z**2 + g*z + k and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 3*q + q + (3*q + 2*q - 4*q)*(-6 + 2 + 2) - q + 0 + 0 - 2*q - 2 + 2 + q - 1 + 1 + (-10 + 19 - 15)*((-15 + 7 + 2)*(2*q - 3*q - q) - q + 3 - 3).\nAnswer: -68*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/28)\/(1\/8). Suppose -6*y = -2*h - 2*y + 110, -j*h + 107 = -y. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77613 divided by 3.\nAnswer: 25871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 211534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -453*k**4\/4 - 18*k + 19. Let o(r) = 2*r**2. Give q(o(c)).\nAnswer: -5436*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 8705653.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 32 + 60 - 5*u - 9294*u**2.\nAnswer: -9294*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(275)*-2*-2.\nAnswer: -5 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 185*h + 52. Let z be k(46). Suppose 0 = -g + 2*g. Let o be 2\/(-2*(-1 + 0)). Sort g, o, z.\nAnswer: g, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 - -15431?\nAnswer: 15326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 18*b**2 + 78*b - 14. Determine t(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29081302 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 6\/272459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(72) + sqrt(10)\/(3*sqrt(5)).\nAnswer: -1 + 19*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 + 317. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34819 - 8200 + 10901 + 8183)*(-4*r + 0*r + r) to the form y + h*r and give h.\nAnswer: -137109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -110\/9, -0.4, 2\/13, -42.3?\nAnswer: -42.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8623220, -8623230, -8623250, -8623280, -8623320, -8623370?\nAnswer: -8623430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 10:37 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62117, 250028, 563215, 1001678, 1565417, 2254432, 3068723?\n\"Answer: 62638*a**2 - 3*a - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/10)\/c*c\/(((c\/(c*(c**(-6)*c)\/c))\/c)\/c)*(c**0)**(-34))**(-13) assuming c is positive.\nAnswer: c**(533\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + ((sqrt(153) + 2)*-2)**2).\nAnswer: -633 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 1 - 296097*z - 8*z**2 + 592212*z - 296105*z. Determine p(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 62*g + 738. Calculate f(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*w = -23, -5*b + 2*w = 4*w. Suppose 2*g - 3*g + 450 = -3*r, b*g + 2*r = 892. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -502 - -549. Is t smaller than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -12*r - 49. What is m(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3106539 is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3621 - -3855. Calculate the remainder when f is divided by 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from aaayf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809091 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0*r - 633. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 7024 = -14*u - 4*g, 0 = -3*u + 2*g - 5248. Are u and -1747 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from sssgvvegveevgseosv.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2453 - -4911\/2. Which is the third smallest value? (a) -11 (b) 0.2 (c) 27 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 80\/(-48)*(-12)\/10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 + 3*x + 21 - 45)*(1 - 1 + 1) - 1 + 0*x - x - 1 to the form r*x + f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/120 - h**5\/12 + h**4\/8 - 5*h**3\/6 + 12*h**2. Determine n(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155079 is divided by 17223.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32092448?\nAnswer: 2, 43, 83, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1422 divide 2988532594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let w(c) = c**2 + 5*c - 1. Let u(m) = -w(m) + x(m). Suppose 2*s - 6*s + r + 21 = 0, -3*r - 27 = -3*s. Let j be (s\/(-3) + 2)*-6. Determine u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(2\/12*3 + (22 - 25)). Solve 0 = -2*h + 5*n - o, -3*n + 68 - 28 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 7. Give d(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/3 - (-12)\/18. Let z = 4 - m. Solve -z*t - 9 = -1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1690053*r**3 - 4982997*r**2 wrt r?\nAnswer: 10140318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/2)\/((-1)\/4). Let h(v) = 6*v**2 + 2*v**2 - d*v**2 + 0*v**2. Let k(p) = 2*p. What is h(k(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3892 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-1120)\/(-30))\/((-2)\/(-3)) + 1 and 27.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 119*k**2 - 3419*k + 1602. Calculate q(-50).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.33 + 4.33. Sort l, -1\/3, 5, -2\/11 in decreasing order.\nAnswer: 5, l, -2\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v - 23 = 3*y, 4*v + 5*y = -9. Suppose 10 = v*i + i. Solve 3*p + 3*q - q - 25 = 0, -5 = -i*p + q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26480 and 26480.\nAnswer: 26480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/15 - 194*f**2\/15 + 4606*f\/15 + 4802\/15.\nAnswer: 2*(f - 49)**2*(f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2511143 decades to months.\nAnswer: 30.133716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 272*n**5 + 998*n**2 wrt n?\nAnswer: 16320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42536 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 981 and 6014067.\nAnswer: 1966599909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*k**3 - 2*b*k**2 + 2*b + 91*k + 226 wrt k?\nAnswer: -6*b*k**2 - 4*b*k + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-30)*(-15)\/(-18). Which is the second biggest value? (a) f (b) 1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, p: 6, m: 4}. What is prob of sequence mfp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 8 + o**2 - 2*o**2 - 10*o. Suppose 18*p + 9 + 117 = 0. Determine s(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*5\/(-6))\/(((-928)\/(-48))\/(-29))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 4*j**2 + 2*j**2 + 3*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/23 + 18077956*a\/23 + 40851561642242\/23 = 0.\nAnswer: -4519489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3203.\nAnswer: -4\/3203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -1) + (-264)\/(-143). Put 2, 0.5, l in descending order.\nAnswer: 2, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 2*u + 3*u)*(19*u**2 + 46*u**2 - 24*u**2) + 6*u**3 - u**3 - 12 - 4*u**3 to the form f*u**2 + r*u**3 + h*u + g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -4 (c) 0 (d) -4\/9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 139 * -10587.7\nAnswer: -1471690.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5883887000 rounded to the nearest one million?\nAnswer: 5884000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4506825670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + -3*(sqrt(84)\/(sqrt(132)\/sqrt(11)))**2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -4. Let h be (12\/16)\/(2\/r). Let g = 7 - 1. Solve h*z - z = g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**3\/3 - 9*l**2\/2 - 2*l + 1. Let f = 13 - 19. Is 8 a factor of i(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5502.\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3, 3*g + 0*c = -5*c + 5. Suppose 2*b - 3 - 203 = g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**2 - 213*c. Let z(h) = 7*h**2 + 212*h. Determine 4*r(l) + 5*z(l).\nAnswer: -l**2 + 208*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/23 and -509 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 41\/21, 0, -0.076, 2\/3?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*b = -186 - 396 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*t - 26 = -2*m - 1077*t, 2*m - 4082 = 680*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14261149178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501508.\nAnswer: 2, 17, 71, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 3\/(-7) + 72\/(-28). Let b = -3 - -5. Solve x*u + 5*o = 35, -b*u = -2*o + 6*o - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31221 (base 4) to base 15\nAnswer: 3d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -495486056 divided by 207143?\nAnswer: -2392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**2 + 328*p\/3 + 24.\nAnswer: 2*(p + 18)*(9*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -181, -188, -199, -214, -233, -256?\n\"Answer: -2*h**2 - h - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/l**1*l)\/l*l))**35\/((l\/(l\/l**(-2\/23)))\/(l*l\/(l\/(l\/l**(-2)*l)*l)*l)) assuming l is positive.\nAnswer: l**(-688\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*q - 2, 5*q + 10*t + 5 = 5*t. Suppose -2*f + 13 = -v, q*f + 12 - 48 = 4*v. What is the closest to -2\/7 in 0.01, -0.6, v?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 + -0.9. Let w = 1.49 - 0.49. What is the third biggest value in w, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) - (2 + -2). Let n be (-2)\/(-4)*h + -13. Let l = -7 - n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 2. Let s(p) = 12*p + 27. Suppose 87*z = 86*z + 4. Give z*s(a) - 54*n(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 32 + 56 = 0. Let f be 24\/i - (-183 - 1). Suppose -3*z + p + 4*p = -f, -5*z + 2*p = -337. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(8\/9)*c**15*((c*c\/c**(-2\/7)*c)\/c)**(-45) assuming c is positive.\nAnswer: c**(-5353\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -43461 divided by 14487?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18911 - 18899. Calculate the remainder when 1\/2 - 45\/(-2) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 835 + -7513\/9. Let w = -0.01 - -2.01. Sort w, o, 0.\nAnswer: 0, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/2 + 8\/(-1). Let s = 1181 + -1182. Suppose 0 = 2*p + 6 - 16. What is the closest to s in w, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1062460619 to the nearest one million.\nAnswer: 1062000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20, -0.5, 1\/4 in decreasing order.\nAnswer: 3, 1\/4, -0.5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*r**3 + 4*r**2 - 42*r + 22859 wrt r?\nAnswer: 63*r**2 + 8*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**8\/7560 - c**7\/945 - c**6\/324 - c**5\/270 - 2*c**3\/3 + 2. Let g(v) be the third derivative of d(v). Factor g(i).\nAnswer: -2*i*(i + 1)**2*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.19.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 4*m - 137855*m**3 - 6*m + 413565*m**3 - 137856*m**3 - 137856*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2127*d + 24932. Give n(-12).\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 420 = 165. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110\/7, 3\/2, -1 in decreasing order.\nAnswer: 3\/2, -1, -110\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 2\/3*t**3 - 2*t**2 + 0*t - 1\/15*t**5 + 0 + 0*t**4. What is the derivative of h(q) wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -17.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28535 rounded to two dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/75*35*(-21)\/140.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23220550 - 10?\nAnswer: 23220540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.143, 972, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -784*h**4\/5 + 43848*h**3\/5 - 611521*h**2\/5 - 43848*h\/5 - 784\/5 = 0. What is h?\nAnswer: -1\/28, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -273476483 to the nearest one million.\nAnswer: -273000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = 5*h + 236. Let u = 598\/5 + h. What is the smallest value in -0.06, 0, u?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**3 + 11*y**3 + 9*y**3 + 4*y**3.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5071*p + 9351*p - 901 = 4863*p - 34132 for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -13060?\nAnswer: 13063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 20 = 20*g. What is the derivative of 0 - 13 - 4 + 36*a**g wrt a?\nAnswer: 144*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 2*s**3 + 20 - 2*s + 23 - 3950*s**2.\nAnswer: 2*s**3 - 3950*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13315 + 6?\nAnswer: -13306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 6*z + 4. Suppose 0 = 3*m - m - 8, -8 = -v - 2*m. Suppose v = 7*k - 10 - 32. What is the remainder when k is divided by u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -10. Let r be (1\/m)\/((-8)\/16). Let b = -7.3 + 7. What is the closest to r in -0.5, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 7893.\nAnswer: -15786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -518*-0.054241\nAnswer: 28.096838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k + k + 9 + 1 - 7*k.\nAnswer: 8*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927*d - 318 = 924*d. What is the remainder when 209 is divided by d?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 44 - 5*r)*(-1 + r + 1) - 177*r**2 + 151*r**2 - 3*r + 2*r.\nAnswer: -31*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 - 37*b**4 + 3*b**2 + 13*b**4 + 22*b**4 to the form y + r*b**2 + w*b**4 + n*b**3 + o*b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 627119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*w, w + 3*w + 5*t = 0. Suppose w = 5*l + 8 - 28. Suppose 2*u = -2*v + 8 - l, 4*v + 4 = 2*u. Solve 2*s + 2 = -v*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 5) in base 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -10*x. Suppose -6*w = -2*w. Solve -j + x*j + 2 = w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) -6 (c) 0.1 (d) 1 (e) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20535613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5345*i - 5210*i = 4455 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*u - 24 = 0, -7*u - 34 = -2*p - 4*u. Suppose p*m = 19*m - 2550. Calculate the smallest common multiple of 10 and m.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrznzajzjyaarzzznn. Give prob of picking 1 z and 2 a.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 356*t**2 - 663*t**2 + 308*t**2 + 1009*t**4 + (-t**4 + 0*t**4 + 0*t**4)*(1 - 1 + 1).\nAnswer: 1008*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.292 * -98\nAnswer: -28.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4 - 25552*a**3 - 179220*a**2 + 1022800*a + 2558000 = 0 for a.\nAnswer: -10, -2, 5, 6395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 2\/(-2)*4. Let s be 1689\/((6\/(-8))\/j). Suppose s = -7*g + 11*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1753206 (base 12) to base 2\nAnswer: -10010011100111001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h - 1. Let a(j) = 2*j**2 + 4*j + 4. Let q(y) = -a(y) - 4*d(y). Let q(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 75. Let c = -15 + z. Solve 0 = n + n - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Let k(c) = 5*c - 2. Let l be k(q). Is 10\/3*l\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -121, -123, -145, -193, -273, -391?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2 = v + 4*z, -3*v - 2 = -5*z for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16594476313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 427933 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99237.63 years to decades.\nAnswer: 9923.763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, r: 8, p: 1}. What is prob of picking 3 r?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-238)\/28 - -3)\/(1\/(-13274)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.144 and -29.8.\nAnswer: -29.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1946*h + 16. Let p(g) = -g + 3. Give -6*p(a) + y(a).\nAnswer: -1940*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2. Let n(x) = x**2 + 2*x. Let c(z) = -4*z**2 - 9*z. Let w(s) = 5*s + 6 + 3 - 4*s. Let v be w(-7). Let a(q) = v*c(q) + 9*n(q). What is a(y(f))?\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34189801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3022605*r**2 + 2*r. Let g(z) = -27*z**2. Determine c(g(f)).\nAnswer: 2203479045*f**4 - 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -55592\nAnswer: -55591.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2, 38, -3 in increasing order.\nAnswer: -3, -2, 20, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*r - 1. Let i(o) = o**3 + 7*o**2 + o. Let q be i(-4). Calculate the highest common divisor of r and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615544, -615536, -615528?\nAnswer: -615520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4301715 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3768, 30642, 103714, 246084, 480852, 831118, 1319982?\nAnswer: 1970544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/(-13) + 10\/(-65). Let c(k) = 23*k - 8. Let g be c(r). Solve g*j = 80*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**3 - 33*v - 26*v + 34*v + v**2 + 67*v**6 + v**3 wrt v?\nAnswer: 8040*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 18*f**2 + 33*f - 13. Let n be w(16). Suppose t + 3*d + 18 = 4*t, n*d = 5*t - 24. Solve t = 2*m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28747 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 11 + 7 = 0. Suppose 8*x = 20*x - 300. What is the remainder when x is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 10*k + 20 = 0. Suppose 65 = 5*d - 0*d + t, 5*t = k*d - 26. Which is greater: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1764 and 61\/756.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3526.\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -22) + -11 - (-1 - (-1 - -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 64. Let t be (s - 1)*(-2)\/(-4). Let a be (0 + t\/(-8))\/((-6)\/(-32)). Calculate the highest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + -18. Let p = 5339550.99898 - 5339598. Let c = y - p. What is c rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -20 + 33 + -1 + (0 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 3. Let b(g) = 6*g - 6. Calculate the remainder when b(4) is divided by t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 41 = -3*i - 4*o + 33, -5*o - 32 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d4 - -b5?\nAnswer: -31e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -297.\nAnswer: -2\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + 113. What is the closest to 0.1 in a, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 26\/30)\/((-57)\/(-171)). What is the biggest value in -9, 19, n?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeek when four letters picked without replacement from oekuzzzuzezooozoez.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13035 and 536063.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.34 + 0.3389. Round r to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -49*g + 0*g**6 + 2\/3*g**3 + 180\/7*g**7 + 0*g**2 + 0*g**5 + 0*g**4 + 59. Find the third derivative of j(h) wrt h.\nAnswer: 21600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 615+-6248\nAnswer: -5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 178 - -201?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*f = -18, f + 33 = 2*k - 4*f. List the prime factors of k - 2 - (-7 - 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m - s - 731 + 187 = 0, -4*m + 64 = 4*s for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-12))\/1*((-8944)\/129)\/26.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11256, 21183, 31108, 41031, 50952, 60871, 70788?\n\"Answer: -r**2 + 9930*r + 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363395071*g**2*w**4 - 54*g**2*w + 105*g*w + 41*g - 2*w**3 - 35 wrt w.\nAnswer: 4360740852*g**2*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89364, -89362, -89360, -89358, -89356, -89354?\nAnswer: -89352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27241 + -626. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -387784872*f**3*k**2 - 18074*f**3*k + f**3 + 2*f**2*k + 2*f*k - 47*f + 12*k wrt k?\nAnswer: -775569744*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, -1, -2\/1543?\nAnswer: -2\/1543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 274104.\nAnswer: 2192832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 2769 = -51*q - 1223 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 63.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3990915178 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - -3. Suppose 4*z - q = 1. Let b be 1\/(-1) - (z + -2). Put b, -3, 2 in ascending order.\nAnswer: b, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 10\/14)*((-5617)\/205 + 28)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 102*q - 105*q - 3*c, 3*c = 3*q - 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13 + 2*r**2 + 0*r**2.\nAnswer: 2*r**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1026, 1018, 1006, 990, 970, 946?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 w when four letters picked without replacement from {a: 9, w: 2, f: 5}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.058 + 0.242. Which is the smallest value? (a) 0.02 (b) 3 (c) y (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1015?\nAnswer: 2\/1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a7 (base 11) in base 3?\nAnswer: 1022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6665\/11 or -607?\nAnswer: -6665\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + -2. Let w = -3648.2280862 - -3600.22809. Let z = w - a. Round z to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2590058 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:32 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44991143.4 rounded to the nearest 10000?\nAnswer: -44990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1385031 smaller than -1385030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/7 in -3\/5, -2, -2\/3, 3, -9\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggogaogglaogl. What is prob of picking 3 g?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13*o - 1. Let f be z(1). Let s(n) be the second derivative of n**3\/6 + n**2\/2 - 3*n. Let q(d) = -14*d - 10. Calculate f*s(h) + q(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*j**3 - 14*j**3 - 48*j**3.\nAnswer: -306*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 + 28*c**4\/3 - 24*c**3 - 112*c**2\/3 + 32*c = 0.\nAnswer: -3, -2, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251 + 266 + 2*i**4 + 0*i**4 + 0*i**4 - 3*i**3 - 2*i to h + s*i**2 + v*i**4 + l*i**3 + k*i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*q + 103*q - 198*q - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 634? (a) -47 (b) -0.4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y)**(-36)\/(y**0\/(y**(-1\/3)\/y)) assuming y is positive.\nAnswer: y**(212\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 16 = -190. Solve 59*o = w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1523*c**2 - 2196*c.\nAnswer: 3046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73358 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 13*s - 5*s. What is the greatest common factor of 552 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6360 is divided by 148?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 84235?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:22 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let k(l) = l + 1. Let w(q) = k(q) - 2*o(q). Let u be 0*(0 - 1\/(-2)). What is w(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 146 (b) -5\/6 (c) 0.1256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283607 = 3814*r - 681*r + 70422 for r.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*d = -18365, 0 = -3*s - 2*d + 13507 + 41622. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + -40 - (16 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30198412, -30198445, -30198478, -30198511, -30198544?\n\"Answer: -33*r - 30198379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*r**3 + 15*k**3*r**2 - k**3*r - 3*k**3 + 5*k**2*r**2 + 146*r wrt r.\nAnswer: -6*k**3*r + 30*k**3 + 10*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2038*b**5 + 4*b**3 + 16958*b**2 - b wrt b?\nAnswer: 122280*b**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4 - 2. What are the prime factors of 1*(-25 - -2)\/k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 5*a**3 + 5*a**3 + (6 - 6 + 2*a)*(-2*a**2 - 3 + 3))*(-1 - a + 1).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, -67, -148, -285, -496, -799, -1212, -1753?\n\"Answer: -3*l**3 - l**2 - 19*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (7 - 14) - (0 + -6). Solve 572*l - 578*l - w = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(13\/4 + -4). Put -351, -5, z in decreasing order.\nAnswer: z, -5, -351","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205137 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 759491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 913262865, 913262869, 913262875, 913262883, 913262893, 913262905?\n\"Answer: f**2 + f + 913262863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*k**3*o**2 + 3*k**3*o - 58407*k**3 + 316158*k**2*o - 6*k*o**2 + 2*k + 2*o - 22 wrt k.\nAnswer: -408*o**2 + 18*o - 350442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {k: 2, e: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (4 - (3 + 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4*1*sqrt(153))\/sqrt(432))\/((sqrt(3) - (sqrt(3) - sqrt(24)\/(-2*sqrt(8)))) + (sqrt(12)*3 - sqrt(3))).\nAnswer: -2 - 2*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 3*q**2 + 6*q**2 + 9*q**2 as h*q**2 + a + u*q and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5627279.2 to the nearest one thousand.\nAnswer: -5627000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20170*n*z**2 + 126515*z**2 wrt n?\nAnswer: -20170*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 2*w**2 + 4 + 4*w**2 + 2*w + 0*w**4 to b*w**3 + q*w**4 + x*w**2 + g*w + k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-2)*(-138)\/(-483)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74961 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let i be p(4). Suppose 5*h - 30 = -i*s, h + 54 = s + 4*s. What is the remainder when 29 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -77, -39, 19, 103, 219, 373, 571?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d + 6*d + 4*d as g*d + p and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/7)\/6 - 10035\/(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 5 (b) 2\/11 (c) 4 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or 0.097?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 20*g. Let a be v(10). Let n(i) be the third derivative of -1\/60*i**5 + 0*i - 1\/36*i**4 + 0 + 2*i**2 + a*i**3. Factor n(d).\nAnswer: -d*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - -0.02. Let n = -0.0600001 - v. Round n to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004.929 micrograms in milligrams?\nAnswer: 2.004929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0718 - 1891.98?\nAnswer: -1891.9082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w + 5*s + 23, 5*w + s - 17 = 0. Let m = -4 + w. Let u(i) = -i**3 - i**2 - 321000. Let k be u(m). Round k to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 402 and 1139.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 206.90455 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330*t + 85428 = -309*t. List the prime factors of t.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1921910?\nAnswer: 2, 5, 192191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11100?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*b + 53*b - 107*b + 7*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*l = -20 - 2, -5*q - 2*l - 3 = 0. Let c = 5 + -3. What is the remainder when c is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10234 - -210800?\nAnswer: 221034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c + 26. Let f be n(-11). What is f rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1330*p = 1297*p + 39105. What is the remainder when p is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + k = -3*b - 6, 2*b = -k - 4. Let j = b - -4. Find the common denominator of -47\/8 and j\/3 + (-53)\/30.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 98 - 42)*(m + 4*m - 3*m) + (3*m + 3*m - 3*m)*(-3 + 2 + 2) in the form c + u*m and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yykkyyyyyyyyyykyyy. What is prob of sequence yyk?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 8 = 6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzwzzzz. What is prob of picking 2 z?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*d - 2529*d - 124374 = 1237*d - 180*d for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(15\/(-20) + (-1)\/(-4)). Let n = 8 - 5. Let p(j) = -j - 1 + 0*j**2 - j**n - 4*j**2 - 1. Calculate p(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220110002 - 2?\nAnswer: 11220110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 151, 130, 109, 88, 67?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.03 + 0.97. Let j = -29.1 + n. What is the nearest to j in 3, -4\/9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 918 and 24?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 + 16*o**2 + 2*o**3 + 24*o**2 - 40*o**2.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(1 + sqrt(539) + -5 - (-2 + sqrt(539) + sqrt(539) + sqrt(539) + sqrt(539)*1 + sqrt(539) + sqrt(539))**2))*2 + -4.\nAnswer: -194130 + 1750*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4\/13)*r*r**8*r)\/((r**(5\/6)*r*r)\/r*r*r**(1\/43)\/r))**30 assuming r is positive.\nAnswer: r**(148175\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*t**5 + 7*t**4 - 84*t**2 + 15419*t wrt t?\nAnswer: -140*t**3 + 84*t**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/40*-40*1*8\/12?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/4 - 4\/16. Suppose 3*q = 4*d + 38, -2*q - g = 3*d - 0*d. Let x be (192\/(-15) - -2)\/(6\/(-30)). Calculate the greatest common divisor of x and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3, -2*l = -l - 3*x + 10. Let z be (3\/6)\/(l\/(-6)). Calculate the common denominator of -89\/10 and z\/15*445\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 + 9*g - 1. Suppose -2*m - 30 = m. Let s be 2\/m - 72\/15. List the prime factors of t(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-2 - -2)*1. Let r be (16\/(-6))\/z*-3. What is the remainder when 18\/3 + -2 - r is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**5 - 768*l**4 + 1700*l**3 + 28080*l**2 - 121936*l + 130368 = 0.\nAnswer: -194, -7, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 17*a + 2. Let y be k(-8). Let r = y + 121. Let c = r - 9. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*m - 3. Is 12 a factor of (-3 - -28) + m - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let m be b(-3). Let i = 0 + m. Suppose 0 = -9*x + i*x + 45. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97633 is divided by 283.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*x + 2 - 64*x + 134*x**3 - 2 wrt x?\nAnswer: 804*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + (sqrt(432) - (2*sqrt(432))**2 - sqrt(432)) + -2.\nAnswer: -1730 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckkccccc. Give prob of picking 1 k and 1 c.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6)*(32\/(-11) + 3)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 20\/(-8))*-18. What is the first derivative of 7 + o*c**4 - 6*c**4 + 22 - 3 wrt c?\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66258 and 276075?\nAnswer: 1656450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/242 and -47\/4.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57\/2 of a meter?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 11:11 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-1))*x)**(-47)\/(x\/(x**(-1\/2)\/x)*x*x*x**(-2\/7)) assuming x is positive.\nAnswer: x**(-59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - h = 4*p - 11, 5*h - 22 = p. Suppose 20 = -p*j - 16. Let z = j - -20. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -10*g. Solve 2*m + 3*m = g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47875 + 6.4142718.\nAnswer: 47881.4142718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 49*s + 4. Is f(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggygggyggggyg. Give prob of sequence ggg.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, -6, -1\/4, -13, -4 in descending order.\nAnswer: 0.4, -1\/4, -0.3, -4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36930427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/(o\/(o*o**(7\/3)))*o*o)\/o)\/o)\/o)\/o*o**(-7))\/((o**(2\/7)\/o)\/o**(-7)) assuming o is positive.\nAnswer: o**(-251\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469422332?\nAnswer: 2, 293, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + h = 2*h - 204, -4*h - 234 = -5*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6595808 divided by 218.\nAnswer: -30256","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (1 + 3)) + 48. Suppose -n - 4*n + g = -2*b, -5*b + 70 = 5*n. Calculate the remainder when 300\/16 - 1\/(-4) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/r*r*r**(-7)\/r)\/((r*r**12)\/(r\/r**(-13))) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85972668 divided by -14328778.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -18. Let o = -20 - q. Which is the second smallest value? (a) 0 (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -2\/5, 2, 0, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*h*h**(-8))))\/h**(-2\/7) assuming h is positive.\nAnswer: h**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 smaller than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*120\/(-400)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -19 + 30 + (-17 - -3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/36*(18\/4 + 0). Let v(f) = f**2 + 1. Let k(c) = 46*c**2 - 50*c - 3. Let m(n) = z*v(n) + k(n). What is the second derivative of m(g) wrt g?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*w**5 + 5*w**2 + 2823*w**3 + 2814*w**3 - 5637*w**3 - w**6 - w**2 wrt w?\nAnswer: -120*w**3 - 1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 110. Let x = 1.1 + -0.8. What is the fourth biggest value in p, -4, -1, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a + 4 - 34*a + 16*a)*(0 + 3 - 4) + (-a + a + 2*a)*(2 + 6 + 6).\nAnswer: 27*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 613021 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213*w + 41829 + 7769 + 19190 = -30678 for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61509728, -123019455, -184529182, -246038909, -307548636, -369058363?\nAnswer: -430568090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 41 - 24*p + 41.\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 7*a + 4. Let o = 10 - 13. Let g be f(o). Let u = g + -12. Put u, -0.3, 1 in descending order.\nAnswer: u, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 132, 533, 1206, 2151?\n\"Answer: 136*q**2 - 7*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 12, 0 in descending order.\nAnswer: 12, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(832) + 0)**2 + 5*(sqrt(832) + 3)**2)*1.\nAnswer: -5039 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from hjjhhshswhsjjjhhhwh?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-90)*(-140)\/112?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 11, m: 1, f: 1, b: 1, z: 1}. Give prob of sequence tfm.\nAnswer: 11\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 - 18*n**2 - 2*n - 2. Let z(s) be the second derivative of 3*s**5\/10 + 53*s**4\/12 + 7*s**3\/6 + 7*s**2\/2 - 15*s - 10. Give -7*l(c) - 2*z(c).\nAnswer: 2*c**3 + 20*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 459.4 - 459.3. Let s = -7.1 + 1.1. Let k = s + 5.85. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + 2*s**2 + 3*s. Determine o(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2763950 and 70490?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 2*l - 7*l**3 + 20*l**3 - 21*l**3.\nAnswer: -8*l**3 + 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jymrkyrrkyxr. Give prob of picking 2 r and 1 y.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)\/h*h**11)**(1\/3) assuming h is positive.\nAnswer: h**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4982, 4924, 4798, 4574, 4222, 3712, 3014, 2098?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 4. Let k be p(3). Let m = 33\/40 + -503\/40. Find the common denominator of (-284)\/(-32) - k*2 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (3*-1 - (-8 - 3)). Let 18*x**4 - 10*x + 5*x**3 + x**t + 4*x**5 - 3*x**4 - 15*x**2 = 0. What is x?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 - 10*p - 21. Let j(y) = y**3 + 13*y**2 - 67*y + 11. Let a be j(-17). What is n(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178.2 - 179. Let f = a - -5.8. What is the biggest value in f, -7\/9, 4, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 244283092 to the nearest 100000.\nAnswer: 244300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4687 - -4693. Solve -82 = -r*j - 100 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10891 + -10878.647. Let p = 12.3 - b. Let l = p - -3.953. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + v + 1. Let l(n) = 6*n**2 - n + 4. Let s(w) = -l(w) - 5*q(w). Let m be s(-5). Let z = m + 34. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 11. Let o be j(8). Let x be o*1\/(-12) + 60\/16. Solve 3*q = -1 + x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 970798 or 970020?\nAnswer: 970798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.4 + 5. Let x = -0.2 + 0.5. Let o = 0.8 - x. What is the nearest to 0.1 in o, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3636, -7059, -10384, -13605, -16716?\nAnswer: -19711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14762180 by 2.\nAnswer: -7381090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -584, -1358, -2058, -2648, -3092, -3354?\n\"Answer: 6*c**3 + c**2 - 819*c + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1642 divide 5492490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 60 = 3*p - 6, 2*d + 2*p - 34 = 0. Suppose 7 = 3*q - 8, 0 = -2*a + 5*q - d. Sort -4, a, -1 in decreasing order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59604 divided by 12?\nAnswer: 4967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11674 + -11408. What is the remainder when p is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -22 (b) 4 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - y**2 - 3*y + 19. Is d(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78149, 156300, 234451, 312602?\n\"Answer: 78151*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34728839 to the power of 1\/2, to the nearest integer?\nAnswer: 5893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -12.88.\nAnswer: -7.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 + 20*h - 10. Calculate w(-10).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/68580 and 161\/15240.\nAnswer: 137160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(175) + -1 + 4 - sqrt(175) - (-3 + sqrt(175) + -1))**2 + (-2*sqrt(175) + -1 + sqrt(175))*-4).\nAnswer: -150*sqrt(7) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -521, -1174, -2089, -3266, -4705, -6406?\nAnswer: -8369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(-3)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i - 233338229 + 233338229.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 4*u - 7. Let m be p(-6). Suppose -53 = 4*v - 5*b, 5*b + 2183 = -v + 2226. Sort m, -3, v in increasing order.\nAnswer: -3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/60 + (-6754)\/30. Let q = 433 + d. Suppose 7*w = 2*w - x + q, 4*w + 5*x - 158 = 0. Calculate the greatest common factor of w and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23172 and 22?\nAnswer: 254892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656471, -1315570, -1974671, -2633774, -3292879, -3951986, -4611095?\nAnswer: -5270206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 38*r + 415. Calculate x(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12 = 4*w, -4*r - 4*w + 8 = -0*r. Sort r, 28, -3 in decreasing order.\nAnswer: 28, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.615 less than 0.5?\nAnswer: -1.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 215?\nAnswer: -21\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*i - 132*i - 100*i + 134 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -25. Let i = 13 + h. Suppose 3*w + n - 39 - 19 = i, 2*w - 5*n - 16 = 0. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224021331 (base 5) in base 9?\nAnswer: 1785670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -11, -4 in descending order.\nAnswer: 15, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 21*b**5 + 11*b**4 - 76*b**3 + 6*b**2 - 11. Let q(a) = 2*a**5 + a**4 - a**2 - 1. Let r(z) = 11*q(z) - y(z). Find the third derivative of r(c) wrt c.\nAnswer: 60*c**2 + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13140?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 12. Let r be t(0). Let u be 186\/r + 3\/2. Find d, given that -u*d - d**2 + 3*d + 6 + 9*d**2 = 0.\nAnswer: 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.1. Let y = -3.93 - 0.07. Let u = 182 - 181.2. Which is the third biggest value? (a) 3\/7 (b) o (c) u (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*18\/(-648)*20*(-12)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.3 (b) 0 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -2\/15*w**5 + 1\/3*w**3 + 4\/3*w**2 - 21 - 5\/12*w**4 - 4\/3*w. Suppose n(r) = 0. Calculate r.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*k - 345 = 13*k - 115 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32390\/527 or -60?\nAnswer: -32390\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197438 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*(-3 - 3). Let h be y\/3*18\/4. Is 5 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3590075814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 23*b**2 - 2*b + 6. Is a(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -29, -23, -17, -11?\n\"Answer: 6*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Suppose -12*l + 3 - 7 = 32. Let i = -4 + 0. Let q(b) = -3*b - 2. Let g be q(-2). Sort l, i, g in descending order.\nAnswer: g, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 893689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4375 is divided by 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-30)\/(-225)*15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190262928837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3318 is divided by 974?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3932 and 1385.7.\nAnswer: 5448572.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555 = 71*c - 835 + 467 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 860\/(-43) + (-42)\/3*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6926, 6951, 6976, 7001, 7026?\nAnswer: 7051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1081 bigger than -7577\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91190343*g**2 + 154159599 wrt g.\nAnswer: 182380686*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 66634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99907035.\nAnswer: 3, 5, 19, 397, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b**2 - b + 7. Let u be k(-3). Let n(x) = x + 8. Give n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -11, -2704 in ascending order.\nAnswer: -2704, -11, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2910687 + 6900789. Suppose -f - g - 3189898 = 0. Round f to the nearest one hundred thousand.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30797 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 times 5?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (852\/(-78) + 11)*7\/(-7)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 51*n**2 - 2. Let x(l) = 25*l**2 - 1. Let d(t) = 6*i(t) - 11*x(t). Let r be d(1). Suppose 4*z + j = 192, -2*j = z - 11 - r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.061? (a) 13 (b) -124\/11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50359801?\nAnswer: 50359801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.5745179 + -15.574. What is j rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -602 + 500?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 815661 or 6?\nAnswer: 815661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(7\/10)*x**(5\/7) assuming x is positive.\nAnswer: x**(99\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31642253 (base 8) to base 10.\nAnswer: 6767787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:48 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 1. Suppose 0 = 3*a + c - 0*c - 95, 2*a = 4*c + 40. Let k(j) = 35*j - 30. Let l(s) = a*d(s) + k(s). Let f(r) = 3*r + 2 - 2. Calculate f(l(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + 115. Let d be 1\/2*(-308)\/(-14). Suppose -z + 13 = l, 5*z + 2*l = 63 + d. Calculate the highest common factor of t and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 48*d**2 - 188*d + 240.\nAnswer: -4*(d - 5)*(d - 4)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o - 15. Let z be b(-5). Let t(m) = -17*m - z*m + 38 + 26*m. Calculate the least common multiple of t(0) and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101000101001 + 110101?\nAnswer: 101101001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 174*b - 183*b + 49842. What is the highest common divisor of 78 and b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 76*r - 72. What is the lowest common multiple of m(2) and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -73. Solve -5*s - p = 0, 3*s - 5*s = 4*c + 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 6 + 27 - 29 + 13 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddlhllddrhdwdllld. What is prob of sequence ldl?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3880290, 7760591, 11640892, 15521193, 19401494, 23281795?\nAnswer: 27162096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 x when three letters picked without replacement from ilxxxlxdfifi.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1164\/2833 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -210*p**2. Let g(v) = -126*v**2 - 1 + 127*v**2 + 1. Calculate u(g(i)).\nAnswer: -210*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 49 = -4*c, -16*n + c = -20*n + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217662 is divided by 386?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -23127, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 6*x**2 - 30*x - 34. What are the prime factors of o(-9)?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1342.65 - -1258. Let d = k - -0.65. Let i = -84.00000057 - d. What is i rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (13 - ((2 + -6 - -10) + 19) - -20).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2758860942?\nAnswer: 2, 3, 459810157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/10 + q\/2 + 14\/5.\nAnswer: -(q - 4)*(3*q + 7)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.51 and -0.09202.\nAnswer: 0.0469302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 7*j - 144 = 0. Suppose 6*n - j = 9*n. Is 11 a factor of n*((-8)\/6 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041203493.\nAnswer: 7, 291600499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2988016 and 304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 123 - 1\/((-3)\/(-6)). Let y(n) = n**2 + 7*n + 3. Let g = -31 - -23. Let k be y(g). What is the highest common factor of d and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Let m(f) = 8*f**2 + 3*f + 4. Let g be m(4). Suppose g = a*t + 2*t. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -38. Suppose 3*n - w = -1. Solve -n*a + 4*a + 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17637449 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 0 + 7*z + 2 + z**2 + 3*z**2. Let p be o(-7). Suppose 5*u - 3*u - 6 = 0. Calculate the greatest common factor of u and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 57. Let s be ((0 + 1)\/(y\/(-915)))\/1. Suppose 4*i + j - 93 = 0, s = 5*i + 4*j + 75. Solve n - 4*k = i, -6*n + 2*n = -3*k - 31 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.886 - 0.014. Let j = -2 - m. Let z = -2 + 2. Which is the biggest value? (a) z (b) j (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - 521a201?\nAnswer: -521a220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 n when four letters picked without replacement from {n: 3, b: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.206 and -1926?\nAnswer: 1925.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 973779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:48 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3852275.208 - 3874775. Let b = w - -22347.78409. Let f = 152 + b. What is f rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqt when three letters picked without replacement from {q: 4, t: 3, k: 1, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5 = k, 15*w - 10 = -5*k + 20*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.263 - 0.437. Let o = y + 16.7. Let z be 3\/(-44) + (-14)\/77. Which is the third smallest value? (a) z (b) o (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 32?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 3*i**4\/32 + 5*i**3\/4 - 1269*i**2\/16 + 1701*i\/2 - 12424. Factor y(t).\nAnswer: 3*(t - 9)**2*(t + 28)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*y - 19 - 5, 0 = -y + 3. Let w be (-4)\/18 - (-86)\/(-18). Let r = 9 + w. Calculate the remainder when x is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -j - 43. What is the greatest common factor of 96 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 - -139. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32994?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 5:09 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffww when four letters picked without replacement from {e: 2, w: 6, f: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16)\/(-40) + 3192\/20 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*r + 4*r, 4*o = 5*r + 186. Let p be (-8)\/14*o\/(-14). Solve 3*j = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8f - -c85?\nAnswer: bf6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 4. Suppose 0 + 12 = 4*m. Let h(s) = s**3 + s - 2. Let v be h(0). Let j = v - m. Give g(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5*b*(b**5\/b)\/b*b**3*b**(-2\/3) assuming b is positive.\nAnswer: b**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6*59 - (-7)\/21. What is the highest common factor of 50 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i*i*i)**(3\/19)\/(i**1\/(i*i**(3\/4)))*(i\/((i*(i\/i**0)\/i*i)\/i))**(-40)\/(i\/(i**(1\/2)\/i)*i*i)**(1\/13) assuming i is positive.\nAnswer: i**(331\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2686785278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6758.6709 and 0.2.\nAnswer: -1351.73418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(-74*r - 6 - 131*r + 6) to j*r + a and give j.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 12102111001011?\nAnswer: -12102111000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j - 14. Let i be n(2). Let t(c) = 1. Let f(a) = a - 1. Let v(y) = -f(y) - 3*t(y). Let d(g) = g. Let r(m) = 2*d(m) + v(m). Determine r(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 26. Let p = -25 - o. Let v = p - -34. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*-4 + sqrt(70)*3*-1)\/(-4*(2*sqrt(90) - sqrt(90))*6).\nAnswer: 11*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/9)\/(11\/165). What is the smallest value in -3, -0.5, -0.3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 3*y - 3*y - 38. What are the prime factors of s(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -d, 3*n + 10 = 8*n - 5*d. Solve 2*f - 10 = -5*s + 8, -22 = -5*s - n*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1006*v**2 - 6034*v\/3 - 4\/3.\nAnswer: 2*(v - 2)*(1509*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + q + 3 = 4*d, 6 = -5*d - q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60100 and 800.\nAnswer: 480800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 2, k: 1, e: 1}. What is prob of sequence se?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 - m - 1. Let b = -2 - -5. Suppose 3*p + 5*a = -2, -2*a - b*a = -2*p + 32. Suppose -p*x - 4 = -5*x. Give t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*b - 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 6:40 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3144\/13 + 242. Let q = -2 - -1. Which is the nearest to q? (a) r (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/3))\/(s*(s\/s**(-1))\/s*s*s))\/(s**(1\/4))**(-2\/131) assuming s is positive.\nAnswer: s**(-2617\/786)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4605713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t\/t**1*t)*t**(-3\/13)*(t*(t*t**(-2\/19)*t)\/t)\/(t\/(t*t*t*t*t**(1\/17))))**(-24) assuming t is positive.\nAnswer: t**(-475944\/4199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 - 2. Let p(u) = u. Calculate t(p(m)).\nAnswer: -5*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 - 3. Let g be (3\/(-1))\/15 + 0. Let t = 8.7 + -9. Which is the nearest to u? (a) t (b) g (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*h - 91*h - 234*h.\nAnswer: 233*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 4*c + 13 - 10 + 25 = j, j = -3*c + 21 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.81 times 399569?\nAnswer: 5518047.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13*q + 74. Let g be b(-6). Let d be (-1 + (-6)\/g)\/(1\/6). Solve 0 = d*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.13 (c) -75\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 10. Sort 3, f, -5, 2 in descending order.\nAnswer: 3, 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 + 57499*t. Let g(n) = -n - 24. Give g(w(l)).\nAnswer: 5*l**2 - 57499*l - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -20. Let g = -17 - u. Which is the third smallest value? (a) g (b) -0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4294*j + 334933. Calculate h(78).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -6)\/(-2 + 1). Let c(j) = -24*j + 13*j - 6 + 22*j - 7*j**2 + j**3. Calculate the least common multiple of c(o) and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.35 + 4.539. Let w = h + -0.18899522. What is w rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 8595 = -9*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62.13 - 62.43. Which is the closest to 1\/4? (a) -2\/5 (b) r (c) 3 (d) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 3*l**2 + 4*l - 17. Let p be x(-7). Suppose 0 = -4*d - 3 + p. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 + 6 = 4*h, 2*x = 2*h + 2. Let j(i) = 2*i**3 - i**2 - i - 2. What is the least common multiple of j(h) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -106*c**2 + 4*c + 1. Let z(a) = 317*a**2 - 12*a - 3. What is -11*o(u) - 4*z(u)?\nAnswer: -102*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 282 - 275. Solve k = -8*q - 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 532413413*y**6 - 8*y**2 - 456*y - 3590?\nAnswer: 63889609560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158881?\nAnswer: 158881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4953994 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 23*h - 18. Let g be s(22). Suppose -w - a = -4376, 5*w = -0*w - g*a + 21877. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/2*(-5 - -3). Let z be 7 + (-3 - (-3 + 3)). Suppose -4*h = 6*i - i, -h = -z*i. Solve -1 = 3*o - o + f*v, h = 4*o + v - 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(2*n**3 - n**2 + n**2 + (-n - n + n)*(-4 - 2*n**2 + 4) + 2*n**3 - 2*n**3 + 3*n**3).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 25*u**2 + 40*u - 60.\nAnswer: -5*(u - 6)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j + 84. Let x = -6590 - -6581. What is l(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -463217 != -463212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -532 - (-87)\/29. Let v = l + 535. Calculate 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 qqqqbqqbqb. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5333471 to the power of 1\/2, to the nearest integer?\nAnswer: 2309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a + 3857 + 124181 = 2477*a + 10732 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**5 - 22*o**2 + 370*o wrt o?\nAnswer: -20*o**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(3440\/1148 + -1 + -2). Let n = u + 440. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45609 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6043 less than or equal to 10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 10*t + 61*t + 1036 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005601 divided by -1?\nAnswer: -1005601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11302331 + 231?\nAnswer: -11302100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100 + -25 + (2 - 5 - (-17 + 18 + -11)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3998, -69, 322 in ascending order.\nAnswer: -69, 322, 3998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 l when three letters picked without replacement from {r: 2, s: 1, l: 4, t: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -317, -685, -1099, -1583, -2161, -2857?\n\"Answer: -4*t**3 + t**2 - 343*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + -24 + 18 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -156.532.\nAnswer: 78.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.109555772 rounded to two decimal places?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 117*a**2 - 207*a + 694. Give w(115).\nAnswer: 3339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -2 - (-1 + -18). What is the tens digit of (q\/(-12))\/(1\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118023394?\nAnswer: 2, 229, 439, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*s. Let p be s\/(-6)*(-6)\/1. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 4691.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 45 = -4*q. Suppose 0 = t - 3*h + 3, -2*t - q + 4 = -5*h. Suppose n + t*n = 127. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1147 times 5\nAnswer: -5735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 w when three letters picked without replacement from wnfffqtfffqiif?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwuwycccuruwwycc. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (69 - (86 + 15)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.33 and 0.10413.\nAnswer: 0.2426229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 546*t**2 - 21603*t + 13209. Calculate r(-503).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-810)\/900)\/(((-24)\/(-10))\/(-2)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/13))**5\/((n\/(n**(-5)\/n))\/(((n**(2\/19)*n)\/n)\/n)) assuming n is positive.\nAnswer: n**(-905\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*p\/(p\/p**(-2\/3)))\/p)\/p))**40\/((p\/p**17)\/(p*p\/(p\/p**(10\/7)))))**38 assuming p is positive.\nAnswer: p**(99826\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 28 + 71 = 3*g, -19*g = -4*w - 22*g - 29 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000) + (sqrt(2000) - (sqrt(2000) + sqrt(2000)*-1)) + sqrt(2000))\/(sqrt(20)\/sqrt(2)*4))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 16*z + 18. Let n be l(-15). Let a be (n\/(-9))\/(1\/(-33)). Calculate the greatest common divisor of 44 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 7*k**2 - 12*k - 29. Suppose 5 = -w - 3*d, 3*w + 3*d = 2*d - 23. Give p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from kkvkkovvoskvkk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1520, -3039, -4558?\nAnswer: -6077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -112*b**3 + 17*b - 61. Let m(h) = -37*h**3 + 6*h - 20. Let c(d) = 6*k(d) - 17*m(d). Differentiate c(w) with respect to w.\nAnswer: -129*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 41*f**2 - 17*f + 17. Let x(m) be the first derivative of 14*m**3\/3 - 3*m**2 + 6*m - 4. Calculate -6*t(k) + 17*x(k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abzb when four letters picked without replacement from {a: 1, z: 1, k: 2, t: 2, b: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -40*q**3 - 6*q**2 + 6*q. Let k(l) = -l**2 + 2*l. Give -a(b) + 3*k(b).\nAnswer: 40*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 49490 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 9*b - 6. What is z(-5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:12 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -467945228.4 to the nearest 1000000.\nAnswer: -468000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-38))\/((-1552)\/7372)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 12*d**3 - d**2 + 7*d - 309. Let u(m) = -3*m**3 - 2*m + 103. What is 2*t(y) + 7*u(y)?\nAnswer: 3*y**3 - 2*y**2 + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, -3\/53, 2\/41 in decreasing order.\nAnswer: 11, 1, 2\/41, -3\/53","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/11 + (-3 - 52\/44).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-47)\/(-33) - 44\/33)*2. Sort -0.3, -0.05, -4, q in decreasing order.\nAnswer: q, -0.05, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7687 to the nearest one hundred.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7947, 31702, 71299, 126744, 198043?\nAnswer: 285202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let o(p) = 2353*p. What is t(o(x))?\nAnswer: 5536609*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 6, n: 8, a: 3}?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/30 and -151\/572412?\nAnswer: 2862060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 + 831*i\/2 - 230187\/4.\nAnswer: -3*(i - 277)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-5))\/((-16)\/(-120)*21))\/(-3)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 3*c - 5. Determine a(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7672\/822*(15\/(-2))\/(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-54)\/20 - 27\/((-918)\/85)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.783 + 4.883. Which is the third smallest value? (a) -2\/11 (b) -1.4 (c) p (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1824.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + v - 5. Let g be (-2)\/(2 + 2)*-3. Let p be 48\/21 + -1 + -1. Which is the smallest value? (a) v (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(28\/21)*2\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -75403*o - 829456. Give g(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 18*k**2 - 5*k - 1. Let g be r(-13). Suppose -b + 3*b - g = 0. Let w be -24*b\/(-27)*-1329. What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12338 divided by -2.\nAnswer: -6169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4416 (base 7) to base 11\nAnswer: -1208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -58218 greater than -58196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1102, 1119, 1152, 1207, 1290, 1407?\nAnswer: 1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226.2 - -226. Let g = 31\/4 - 15\/2. Is g != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (4 - 12) + 8 - (8 + 8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(2\/11)*(f*f**(-2\/7)*f)**(-31)*(f**2\/f**6)\/((f*f**(-1\/6)*f)\/f**2) assuming f is positive.\nAnswer: f**(-26281\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*m - 3. Let z be 5*(84788\/10 + 2). Suppose -z = -m*g + 2*u, 0 = -2*g - 2*u + 6*u + 21208. What is g rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 - 12*i**2 - 8*i - 5. Let m(x) = -x**3 + 6*x**2 + 4*x + 2. Let v be ((-24)\/(-6) - -6)\/(-3 + 1). Let g(w) = v*m(w) - 2*t(w). Calculate g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 221 - 32 = 0. Suppose 0 = 37*g - n*g - 48. Let 2\/7*j**g + 8\/7*j**2 + 4\/7 + 10\/7*j = 0. What is j?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3 + 6 = t, -t = -j + 5 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.61, -4440, -48.\nAnswer: -4440, -48, 0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*l = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**5*z + 424868*v**2 + 3799*v*z + 5 wrt v.\nAnswer: 20*v**3*z + 849736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 81.23712ug?\nAnswer: 0.00000000008123712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-28)*(-49)\/42. What is the biggest value in -4, -3, 2, 11, x?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 3) + 6 + 1. Let r(i) = -3478*i - 38256. Let s be r(-11). Solve -s*f - v = -10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 - 2*c**2 - 2*c - 152. Let w(x) = x**2 + x + 4. Give -i(o) - 2*w(o).\nAnswer: 5*o**3 + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748373 is divided by 249457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a - 27*a = -2*h - 17, 5*a = -h - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -10*x**7\/147 + 22*x**6\/105 + 3*x**5\/35 - 11*x**4\/21 + 4*x**3\/21 + x + 5. Determine b so that v(b) = 0.\nAnswer: -1, 0, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 2*s - 2. Suppose -3*k = -4*k + 32. Suppose -23 = 3*b - k. Let j(c) = -8*c - 6 + c**b - 3 + 9*c**2 - 4*c**2 - c. Give 9*a(y) - 2*j(y).\nAnswer: -2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 14333134?\nAnswer: -14333133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -3. Suppose 0 = -3*b + 5*n + o, 0 = 5*n - 3*n - 4. Calculate the smallest common multiple of 2 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.318 minus 206.3?\nAnswer: -206.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8) - (sqrt(8) - (sqrt(8) + sqrt(128) + sqrt(128) + sqrt(128)*1 + sqrt(128) + sqrt(128)))).\nAnswer: sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*s - 710, 3*s = 7*s - 2*h - 566. Suppose -s*o + 133*o = -48. Let z(f) = f**2 - 7*f + 6. Calculate z(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1 - 8\/(-2)). Suppose 4*l - 4*m = -0*l + 916, -f*l + m = -697. Let k be 6\/3 + l\/(-6). Round k to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 4*k + 13. Let n be q(-6). Let m be (-525)\/(-165) + 4\/(-22)*n. Calculate the greatest common divisor of 12 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 - 2*c - 4. Let t = 0 - 15. Let k = -67 - -107. Let v be ((-3)\/(-2))\/(t\/k). Let l(j) = -j**2 + 1. Give v*l(f) - w(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -66. Let c be (s - -13)*(1 - -2). Differentiate 27*o**c - 2*o**2 + 4260 - 4285 + 2*o**2 wrt o.\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1351\/10 + -2024\/15. Determine k, given that 1\/3 - 1\/6*k - z*k**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*p + 3*x + 580, 3*p = -2*x + 368. Suppose 0 = -0*h - h + p. Let q be 17 - (0 - -1 - -1). What is the highest common factor of q and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h - 3*h**2 + 6*h**2 + 32*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 5 = 4*f, -4*f - 6 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 7 - -7) + 17 + (-7 - -3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -342, -753, -1318, -2031?\nAnswer: -2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 470383.4 micrograms?\nAnswer: 0.4703834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10348, 83361, 281982, 669157, 1307832, 2260953, 3591466?\nAnswer: 5362317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*(-277 - -276). Let k = 1.9 + -2. Which is the fourth biggest value? (a) -3 (b) w (c) -0.4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 10*i - 13. Calculate the remainder when h(-7) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -479*x + 482. Let c be p(1). Solve -5*a + 9*a - 17 = -5*n, -c*a + 2*n = -7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2724*n - 1 + 2726*n + 2719*n - 10897*n + 2727*n. Let a(m) = 9*m + 1. Determine a(f) + 6*w(f).\nAnswer: 3*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 = -5*n - 5*u - 378, 0 = -n - 4*u + 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 + x**3 - 10*x**2 - 9*x**2 + 6*x - 26 + 33*x**2. Let g be i(-9). Let l(w) = -8 - w**2 + 8. Let v(f) = f**3 + 7*f**2 - 1. Give g*v(n) + 6*l(n).\nAnswer: n**3 + n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3434597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 17, 56, 131, 254, 437, 692, 1031?\nAnswer: 1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -0.1065?\nAnswer: 2.1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -275*p + 12. Let l(u) = 270*u - 9. Calculate 3*l(y) + 2*z(y).\nAnswer: 260*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 12718 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 -3*x - 3239*p = -3240*p - 24, 0 = -5*x + 2*p + 40 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 288, 612, 936?\n\"Answer: 324*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 14840?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/13 - 426*b\/13 - 844\/13 = 0.\nAnswer: -211, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/64 of a hour?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*i + 10, -3*i = f + 2*f + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 - 2.97. Let s = -0.2699957 - b. Round s to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 180*r**2 - 177*r**2 + 11.\nAnswer: -357*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-3)\/(-22) - (-2548)\/(-616))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50193 and 65?\nAnswer: 250965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than -8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 6*y + 5. Let w be (56\/12)\/(4\/(-6)). Does 12 divide r(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 14. Let v be t(-23). Suppose v = 36*g - 25*g. Sort 5.9, 0.4, g in decreasing order.\nAnswer: 5.9, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.6 * 0.5.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(720)*3)**2 - 2*sqrt(125).\nAnswer: -6480 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20531?\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + p - 1 - 4*p to z*p + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*b*g**3*u - 23*b*g**2*j + 2*g**3*j*u + 10*g**3 + 46*g*j*u + 21*u with respect to b.\nAnswer: 63*g**3*u - 23*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((49\/(-6))\/((-294)\/168))\/((-3)\/((-9)\/2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i**(-3\/5)\/i)))\/((i\/i**(-5\/4))\/i))\/(i\/((i*(i**10\/i)\/i)\/i)*i**(-9)))**(-2\/5) assuming i is positive.\nAnswer: i**(-263\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 9*j - 10. Let g(l) = -l**2 + 8*l + 6. What is the lowest common multiple of g(8) and d(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 2*q + 102. Let v(a) = -13*a**2 + 9*a - 407. Determine -9*c(o) - 2*v(o).\nAnswer: -o**2 - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*g + 16. Suppose 3*q**3 - 13*q**5 + 12*q**g + 5*q**5 + 4 - 16*q**2 + 5*q**3 = 0. Calculate q.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232005123 divided by 21\nAnswer: -11047863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71.3 - -0.5.\nAnswer: -70.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.9 * 978.\nAnswer: 10660.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2970 = -r, 0*n + n - 751 = 4*r. Suppose 7*o = 55 + n. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**6\/180 - f**5\/60 - f**4\/6 - 8*f**3\/3 + 2. Let j(k) be the third derivative of l(k). List the prime factors of j(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*j + 60, -136*j + 22 = -140*j + 5*s + 91 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 2 + 2 + -2. Let d be ((-2)\/(-4))\/(k\/(-36)). Is 4\/d - (-113)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - -1900406?\nAnswer: 1900367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13485 and 5126098.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0.5, -2\/1641.\nAnswer: -1, -2\/1641, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124121 (base 5) in base 4?\nAnswer: -11000320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2, 1, -8707, 2\/15, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1047316 + 3?\nAnswer: 1047319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - ((-3 - -7) + -7)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c + 0*c)*(-4 + 1 + 1)*(4 - 1 + 0) + 3*c + 1 - 1.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**5)\/s*s)\/(((s\/(s**(8\/5)*s))\/s)\/s)*s\/s**(1\/7)*s*s**5 assuming s is positive.\nAnswer: s**(261\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, g: 7, a: 2, l: 5, f: 3}. What is prob of picking 1 a, 1 w, and 1 g?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14*i**2 - 8*i - 8. Let d = 191 - 179. Suppose d*t = -5*t + 17. Let s(o) = o**2 - o - 1. Determine t*u(q) - 8*s(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 8*d**2 - 9*d + 10. Let w(z) = -z**2 - z + 1. Let x(a) = b(a) + 3*w(a). Let t = -376 - -388. Determine x(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0635931117 and 1028.5.\nAnswer: 1028.4364068883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**6\/6 + 3*z**5\/5 + 3*z**4\/4 + z**3\/3 + 4. Find q, given that o(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02912 or 1\/2?\nAnswer: -0.02912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**4 + 24*z**3 + 5*z**2 - 10*z - 4. Let m(f) = 2*f**4 + f**2 + f + 1. Let r = 234 + -238. Let i(q) = r*m(q) - w(q). Suppose i(o) = 0. Calculate o.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-20))\/(((-36)\/(-144))\/(35\/168))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*n - 10*n + 90, -5*j + 72 = 4*n. What is the lowest common multiple of n and 74?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 4*t + 150. Determine r(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 4 - -1) + 0 + 15. Suppose -2*s + n*s = s. Solve 0 = m - s - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5)*m*(m*m*m**4)\/m)\/(m**2)**(2\/97))\/(((m**(-2\/3)*m)\/m)**(-45)*m**(3\/5)*(m*m\/(m\/(((m\/(m*m*m**7*m))\/m)\/m)))\/m*m) assuming m is positive.\nAnswer: m**(-6907\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8991 + 16044. Round v to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000192613 rounded to six dps?\nAnswer: 0.000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 0*a + 3*a - 4*a. Let k(m) = -2075 - 2*m**2 + 2121 - 2*m**2 + 3*m**2. What is k(s(d))?\nAnswer: -4*d**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 15862?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427443.\nAnswer: 3, 19, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 b when three letters picked without replacement from dcdggdbbmrcb.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from owuzooowwoxooyzuoo.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g**2 + 28*g - 131. Let y(c) = -13*c**2 - 28*c + 125. Let z(r) = 7*v(r) + 6*y(r). Give z(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 232, 1, 23, -1 in descending order.\nAnswer: 232, 23, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3. Let y(m) = -m - 3. Let t(u) = 3*y(u) + 3*z(u). Let b be t(-1). Suppose -2*h = -b*h + 340. Round h to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:10 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -14*t + 10. Let r(m) = -57*m + 41. Let k(f) = -9*n(f) + 2*r(f). Find the first derivative of k(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b - 10 = 0. Suppose -15*z + 18*z = -u - 76, -86 = u - 2*z. Let i = 103 + u. Solve 0 = 4*a - 5*k + i - b, 2*k = -a + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 9. Let s(p) = 1. Calculate d(l) + s(l).\nAnswer: -l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 4*c**2 + 3570*c + 10708. Give z(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 + -107. Suppose -y*u + 2*r = 18, 4*r = 2*u - 3*u + 14. Which is smaller: u or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4983643 and 2014.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 6) to base 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 17*c + 14 + 15*c + c**2 - 57.\nAnswer: 7*c**3 + c**2 + 32*c - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 189\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 2:57 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 4*t**2 + 3*t - 7. Let c be x(-5). Suppose -9*o + 978 - 60 = 0. Find the second derivative of o*i - 3*i**c - 54*i - 51*i wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104180 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -497 + 509. Calculate the highest common divisor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 4 + 6 + 0*h)*(-8 + 29 - 3)*(-h + 3*h - h)*(27*h**2 - 48*h**2 - 38*h**2).\nAnswer: 2124*h**4 - 2124*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*s + 57, 19 = -7779*i + 7778*i + 4*s for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**4 + 11*v**3 + 262*v**2?\nAnswer: 24*v + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198750 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (25*180\/(-73500))\/(4\/14)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -99. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x**3 + 8*x**3 - 374*x + 123*x + 127*x + 124*x.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139620383 rounded to four decimal places?\nAnswer: 0.1396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141215 (base 11) to base 8.\nAnswer: -660024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 15\/9)\/((-848)\/72 + 12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -560 - -585.9. Let p = 26 - g. Is -4\/7 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + -4 + (-7 - -6). Solve -c*p + 13 = -7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192854626.00000028 + 192854630. Let v = -4.6 - -0.6. Let y = v + t. Round y to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 15) in base 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxvxvxxvx.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1285268, 5141065, 11567394, 20564255, 32131648?\nAnswer: 46269573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -9\/16*p**4 - 3\/40*p**5 + 5\/2*p**2 - 1 + 0*p - 1\/240*p**6 - 9\/4*p**3. Let n(k) be the second derivative of x(k). Factor n(v).\nAnswer: -(v + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41321 + 6*f - 19*f**3 + 0*f + 41326 to a + j*f + i*f**2 + q*f**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvwwwvwwvwvvvwvwwwwv. Give prob of picking 3 v.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*q**3 + 598*q**2 + 25*q - 125304187 wrt q?\nAnswer: -42*q**2 + 1196*q + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 11 = -5*k. Suppose -5*i + k*g = -g - 22, 3*i = -2*g - 2. Solve 0 = -w + q + i, -4*w = -2*w + 3*q + 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 717, 1106, 1529, 1998, 2525?\nAnswer: 3122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 125*y**2 + 67*y - 309. Let g be n(62). Let p be 15 - (-4)\/(2 + 0). Let m = p - g. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Calculate the common denominator of (-27)\/4 - (-2)\/8 and a\/(-10) + (-143)\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38886287 to the nearest integer?\nAnswer: 6236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11009?\nAnswer: 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u**5 - 19*u**5 + 8*u**5 + 40*u**4 - 8*u**3 = 0. What is u?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -22*d**3 - 3*d**2 + 4*d - 15. Let q be a(-6). What is the greatest common divisor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17442 and 1122?\nAnswer: 191862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 47404*o + 2247139216.\nAnswer: (o - 94808)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 33*i**2 + 120*i + 14. Calculate f(29).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000911 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.6289 and 0.051?\nAnswer: 10.6799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1745*k + 32034 = -1099*k - 602*k - 606*k for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 + 8*z**2 + 20*z + 18. Is b(-6) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12072701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 17*p**2 + p + 12. What is h(17)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 13*h + 13. Let j(k) = -k**2 - 6*k - 6. Let x(u) = 13*j(u) + 6*m(u). Let b(v) = -3*v. What is b(x(o))?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-86))\/(14609\/(-89741)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:27 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5927, 1537, -5779, -16021?\nAnswer: -29189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 5607 + 5607.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -46314*g - 509753. Calculate j(-11).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111675.295 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2560642541?\nAnswer: 2560642541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 71*f - 252. Give t(27).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (1 + -16 - (385 + -373)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 365 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2024 divided by -1\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 24*u - u**2 - 24*u + 0*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -22. Suppose -p = -4*w + 4. Suppose c + 250 = 4*c + 4*j, 0 = -w*j + 20. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-30)\/(o*o*o**(1\/4)*o)*(o**(5\/3))**(-2\/23))**(2\/21) assuming o is positive.\nAnswer: o**(-9217\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 840 or -4721?\nAnswer: 840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*l - 82 + 10. Suppose -b + l + 5 = 3*v, v - 2 = 5*b. Solve -10 = 4*z + v*r, 3*z + r + r = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 410 + -2?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14518 and 135936182?\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(-2 + 2 - b) + (17 + 9 + 3)*(-2*b - 3*b + 4*b)*(10 - 4 + 2) to the form i + z*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(9)*-2))\/sqrt(10) - (sqrt(20)\/(1*sqrt(36)))**2.\nAnswer: -sqrt(5)\/2 - 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -0.027, 2?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 10. Suppose 4*q = 5*u - 422, 2 = 2*u - 2. Let x = q + 96. Determine o(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 15 = n. Let s(f) = 5*f**2 - 2*f. Let o(j) = -6*j**2 + 4*j - 2. Let q(z) = -o(z) - s(z). Give q(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + 0*t)*(-1 + 33 - 5)*(2*t**3 - 4*t**3 + 3*t**3).\nAnswer: -54*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185929613 divided by -73.\nAnswer: -2546981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 7 + 23*k**2 - 18*k**2 - k - k. Let m(o) = -5*o**2 + 5*o + 8. Let n(u) = -7*g(u) - 6*m(u). Differentiate n(r) wrt r.\nAnswer: -10*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -95. Suppose 5*c - 20 = 0, -5*k = 3*c - 2*c + 231. Let j = y - k. What is the highest common factor of j and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 8176 + ((-2)\/(-1) - 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*q + 15, 2*i + 1 - 8 = 5*q. Solve 3*u + 4*f + 4 = 0, -2*f = -2*u - i*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 0*k - k)*(-251*k**2 - 410*k**2 - 18*k**2) + (10 + k**2 - 10 - 4*k)*(2*k + 4*k - k) as h + o*k**2 + r*k**3 + q*k and give r.\nAnswer: -1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/15 - (-71 - -73). Sort -4\/3, 747, n in descending order.\nAnswer: 747, -4\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 u when four letters picked without replacement from qqqjjquuqjqqqjqjjj.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9)*2)\/sqrt(3))**2 - 3*sqrt(27)) + (sqrt(21) - ((sqrt(1029) - sqrt(1029)*-2) + sqrt(1029) + sqrt(21)))\/(sqrt(7) + sqrt(175)*-2 - sqrt(7)).\nAnswer: -31*sqrt(3)\/5 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - -62. What is the remainder when t is divided by ((-6)\/(-2))\/((2\/(-8))\/((-8)\/3))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejjj when four letters picked without replacement from {m: 3, e: 4, k: 3, j: 10}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -21. Calculate the remainder when 195 is divided by (8*-3)\/(-8) + w + 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/40 - 37\/4. Let m(n) = n**3 + 10*n**2 + 10*n + 12. Let r be m(z). Solve -r = -0*l - l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/455160 and -11\/27.\nAnswer: 4096440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-8)*(-48)\/(-2). Let q be 0\/(3\/6*-6) - 3. Let g(k) = 15*k**3 + 119*k**2 - 8*k + 3. Let p be g(-8). Sort w, q, p in increasing order.\nAnswer: q, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64030?\nAnswer: 2, 5, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 7. Let l be (-4)\/(0 - m - -2). What is the nearest to 0.3 in -0.4, l, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11095*i + 16. Is k(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - -84*90\/27. Suppose 1 - 13 = -3*r. Suppose -r*t + f = -5*a, 0*t = -t - 2*a + 64. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 18. Let q(n) = 3*n - 20. Let a(y) = -4*g(y) - 5*q(y). Let m(i) = i. Calculate m(a(r)).\nAnswer: r + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:01 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 0.08, 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 + 10*g + 4. Let j(s) = 9*s**2 + 19*s + 8. What is -4*j(l) + 7*m(l)?\nAnswer: -l**2 - 6*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(2\/(-6)*-3). What is the nearest to o in -0.2, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2721 - -2715. Let f(h) = h**3 + 5*h**2 + 2*h + 3. Calculate f(i).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - j = 11, 2*a + 36*j = 41*j - 10. Solve 6 = 2*o - 50*z + 54*z, a*o - 4*z + 13 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 68 = 8. Let s be (-8)\/10*5\/(-2). Suppose -s - n = -2*d. What is the remainder when 23 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 1601*h**9\/504 + h**8\/336 - 1691*h**5\/60 + 2*h**2 - 5*h + 414. What is the third derivative of o(f) wrt f?\nAnswer: 192120*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3420 (base 6) to base 16\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**7\/5040 - j**6\/720 + j**5\/720 + j**4\/48 + j**3\/3 - 8*j**2 - 47. Let n(i) be the third derivative of t(i). Factor n(h).\nAnswer: -(h - 1)*(h + 1)*(h + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 11*i + 13. Calculate the remainder when f(8) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**4 + 5*u**3 - 57. Let m(z) = 3*z**4 - 6*z**3 + 57. Let y(s) = 6*k(s) + 5*m(s). Differentiate y(r) with respect to r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -16 (c) 4 (d) -1236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32, -66, -102, -140?\n\"Answer: -d**2 - 31*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/8 - 281*m**4\/8 + 557*m**3\/8 + 281*m**2\/8 - 279*m\/4 = 0 for m.\nAnswer: -1, 0, 1, 2, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**3 + w**2 + w - 1. Let g be c(1). Suppose 2*k = 8*k - g. Let p = -165 + 1317\/8. Which is greater: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2560 - 2557. Solve 2 = -b*n + 4*r, 18 = 5*r + 23 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16957 - -16940. Which is the closest to -4? (a) f (b) -5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)\/(1\/(-25)). Suppose 27 = 14*d - 1. Calculate the common denominator of 101\/14 and ((-140)\/c)\/d - -4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - (-42 - -39).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4859.\nAnswer: 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (104\/10)\/(4*10\/3200). Suppose -3*f = x - 208, 22*x = 18*x + 3*f + j. What is the smallest common multiple of 12 and x?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.1, 3\/68, 221, -1\/11 in decreasing order.\nAnswer: 221, 0.1, 3\/68, -1\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 562a6 - 377?\nAnswer: 55f2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**3*t**2 - 2721971*g**3 - 15*g**2*t**2 + g**2 - 63*g*t + 3*g + 399*t wrt g?\nAnswer: -36*t**2 - 16331826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Suppose 5*x - 16 = -5*u + 39, 3*u + x = 23. Let o(j) = -2*j. Let n(g) = u*o(g) - 7*f(g). Let l(y) = 2*y - 2*y + 2*y. Determine l(n(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1674529.3 to the nearest ten thousand.\nAnswer: -1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2363*m + 2. Let t(o) = 2*o. What is w(t(h))?\nAnswer: 4726*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let m be s(4). Suppose 0 = 3*u + m*b - 110 + 19, -4*b - 34 = -2*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 0, s + 5 = 4*j + 157. Let i = 293 - s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let z(m) be the first derivative of 756*m**2 + 5*m + 8840. Determine z(g(x)).\nAnswer: -1512*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101.6 - -96.57. Let y = -0.03 - m. Let d(h) = -2*h**2 + 3*h. Let k be d(2). Which is the third smallest value? (a) k (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 8*g**2 + 4*g + 112. What is x(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000001000110 (base 2) in base 12?\nAnswer: 9632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 119448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14554 + -1083. List the prime factors of w.\nAnswer: 19, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222123202111 (base 4) in base 12?\nAnswer: 38849b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 5. Let i(v) be the first derivative of -5*v**2\/2 - 53*v + 16. What is the remainder when i(-16) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1688057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1640.7 - -1641.4459. Which is smaller: c or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5290.00928 to the nearest ten.\nAnswer: -5290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*v + 46, 78 = 2*l + 5*v + 77. Solve 4*b - 18*x = -16*x - 12, b - 3*x + l = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**7\/420 - k**6\/180 - k**5\/30 - 7*k**2. Let t(p) be the third derivative of g(p). Differentiate t(s) with respect to s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 9*a - a)*(a**2 + 4*a - 4*a) + a**3 - 4*a**3 + a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 24*j**2 - 6*j - 104. Let m be z(-24). Suppose 49 = 9*d + m. Solve 4*q = s - 6, 2*s - d = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a day in minutes?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/14 + 275\/(-55)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22147 = -909*x + 9562 + 14650 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0112906 to 5 decimal places.\nAnswer: 0.01129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91439?\nAnswer: 61, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 5*n + 5*x - 238, 4*n - 5*x - 114 = 0. Suppose -2*b = -17 - n. Suppose 3*h = -5*p - 14, -2*p - 2*p = -4*h + b. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10*j = 7*j. Suppose 3*p + 0*p - 5*p = j. Suppose -y = -3, 4*f + 4*y - 5887 - 3945 = p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 8625 = -8257 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/15084 and 37\/53424.\nAnswer: 22384656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 3*h**3 + 2*h**3)*(-h - 19*h - 7*h) + (-1 + 0 - 1)*(-h**4 + 4*h**4 - h**4) + 2 - 2 - h**4.\nAnswer: -59*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -86*i**3 - 2*i**2 + i. Let n be f(-1). Let d = -78 + n. Solve x - 3*a = 20, 10*x - d*x + a - 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, m: 2, y: 5, o: 1, t: 2}. What is prob of picking 1 o and 2 p?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -724, -1628, -2894?\nAnswer: -4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {d: 2, b: 3, y: 2, x: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -226?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 1, l: 7, o: 7}. Give prob of picking 1 x and 1 l.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p + 7. Let g(z) = z - 1. Let x(q) = 10*q - 10. Let t(j) = 36*g(j) - 4*x(j). Let y(w) = 4*l(w) - 7*t(w). Let b(c) = -c. Calculate b(y(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637088849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248224*f**3 - 293123*f wrt f?\nAnswer: -1489344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12080 and 10872?\nAnswer: 108720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5165 - 3652. Suppose -65*u + 22732 + v = 0. List the prime factors of u.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:01 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 172 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 97, -1, 60 in descending order.\nAnswer: 97, 60, 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-195*x**4 - x**2 + 261*x**4 + 2*x**3 - 223*x**4)*(1 - 1 + 1) as h*x**2 + z + m*x**4 + d*x + l*x**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252200?\nAnswer: 2, 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o + 232. Let a be p(-19). Sort 13, a, -3, -4.\nAnswer: -4, -3, a, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = 4*k. Let w = k - -6. Solve -3*r + w = c, -4*r + 9*r = -4*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4195927 is divided by 409?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15315695*s**3 - 30631377*s**3 + 15315673*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -171, -172, -173?\n\"Answer: -c - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + 4 - 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60 - -4)\/(-7) - 0. Calculate the highest common divisor of 28 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.3 + -0.3. Let y = 2.28 - 43.18. Let t = -38.9 - y. What is the closest to m in 3, t, 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**2 - 155*s\/2 + 105\/2.\nAnswer: 5*(s - 7)*(4*s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-2 + 0)*1\/(-2). Suppose -3*y + 5 = -0*y - m, v = -5*y + 5*m + 25. Solve p = -y*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 9*h + 7*h + 4*h - 3*h + 3*h + 3*h + (4*h - 6*h + 0*h)*(1 - 3 + 1) to j*h + t and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/11 - 1044*j**2\/11 + 1080558*j\/11 = 0.\nAnswer: -1041, 0, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8 - (-705 - -693)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*a = -5*j - 305, -2*j - 127 = 3*a. Let r = j + 65. Suppose -r*t - 12 = -9*t. Solve 2 + 2 = t*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -938 = -2*v - 148. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3)*q*q**(-1\/5))**(12\/11) assuming q is positive.\nAnswer: q**(-72\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (14 - 20) - (8 - -6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22626 + -2005432?\nAnswer: -1652503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*o**2 - 14454 + 2*o - 14458 + 28912.\nAnswer: 78*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 11 - 11 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r - 2. Let s be m(0). Let j be -2 + (s - -3 - -26). What is the greatest common factor of j and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 15 = -t - 45 + 12, -24*g - 81 = 3*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16365589 * -5.\nAnswer: 81827945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -819952959, -1639905918, -2459858877, -3279811836?\n\"Answer: -819952959*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + 2) + (sqrt(475) - sqrt(475)*1)**2 - 6*(sqrt(76) + 3).\nAnswer: -11*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from ueuusysyyuuuuseus.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -0.3. Suppose -w - 4 - 45 = 3*q, 2*w = 2*q - 66. Let z = -35 - w. What is the nearest to 1\/2 in c, z, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5448943 to the nearest integer?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 478 - 274. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2532596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 9:32 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -3\/11*k**2 + 4\/55*k**5 - 8\/33*k**3 - 1\/11*k**6 + 3\/11*k**4 + 3 + 4\/11*k. What is r in g(r) = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*u + 2*c, -2*u + 4*c - 7 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 12*d + 47. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 - 307082*c**2 + 122832*c = 0.\nAnswer: 0, 2\/5, 61416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*l**5 - 2646*l**4 + 23547*l**3 - 1554*l**2 - 23580*l + 4200 = 0. What is l?\nAnswer: -1, 2\/11, 1, 10, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 1. Let y be d(-3). Suppose -3*c - y*h = -4, -5*c + 4*h + 16 = -3*c. Calculate the remainder when c is divided by 1\/((-2)\/(-12)) - 60\/330*11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 15\/4, 0.2, 3\/10.\nAnswer: -3\/5, 0.2, 3\/10, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1784 + -686. Let z = 3301\/3 - h. Let g = -0.4 - -0.8. Which is the fourth smallest value? (a) g (b) -3\/4 (c) z (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91787507 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -8, -25, -48, -77, -112, -153?\n\"Answer: -3*u**2 - 2*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -36, -85, -186, -357?\n\"Answer: -3*w**3 + w**2 + 3*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 95 - -26d?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17829, 6, 2, -1.\nAnswer: -17829, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + (-26 - -71 - -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(637) - (4 + -2 + sqrt(637))) + -5*(-2*sqrt(637) + 1))**2*6 + 5.\nAnswer: -4200*sqrt(13) + 382355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.327 + -0.627. Let i = g + -25.134. Round i to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25568 by 4.\nAnswer: 6392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-101 - -71) - (9 + -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i - 12 = -39 - 37 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 + -103. Sort 0.3, 0.1, j, 3\/2.\nAnswer: j, 0.1, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -435, -872, -1309, -1746, -2183, -2620?\n\"Answer: -437*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 152 = -15*w + 73*w. Solve -b = 4*h - 14, w*b + h = 7 - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 - 92. Let u = f + -279\/7. What is the second smallest value in 9, u, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, r: 3, a: 1, v: 1, p: 2}. What is prob of sequence zrrv?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (7 + -14 + (4 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 7)\/(7\/14 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*o**4 - 11*o**2 + 347 with respect to o.\nAnswer: -60*o**3 - 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 14*z**2 + 15*z + 57. Let b be (5 - -6)*2\/2. Let g be v(b). What is the highest common factor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -27. Suppose -d = -k*d. Suppose d*t - 3*t + 307 = -2*s, -3*t + 319 = s. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-4) + (-1)\/(-4). Let v be 5 + -3 + (0 - z). Find the second derivative of -a - 3*a**5 - v*a**5 + 2*a wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/60 + w**4\/24 + 25*w**3\/6 - 6*w**2. Calculate the remainder when y(0) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 + 1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 8869.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 - 6. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0 - -1) + -3 - 40. Let f = s + 46. Sort 4, -1, 4\/9, f in descending order.\nAnswer: f, 4, 4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 4*v - 1. Suppose -7 = -7*c - 0*c. Let g be c + -2 + (7 - 3). Suppose 0 = -5*k - g*q + 5 + 7, -5*q = 2*k - 1. Calculate r(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159.9913 + 160. What is w rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24325762 to the nearest integer?\nAnswer: 4932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 586087.9 - -401?\nAnswer: 586488.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)*(1 - -6). Suppose -4*x + 3*d + 17 = 0, -3*x - 19 = -5*x + 5*d. Let g = v - x. Solve -3*w + 1 = -3*h - g, -4*h - 10 = -2*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 y when three letters picked without replacement from ytttrytaaorrzr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, s: 1, d: 3, h: 1, i: 7, c: 2}. Give prob of picking 1 s and 1 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -15*j + 598. Suppose -4*d + 70 = -j. Let a = d - 36. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 8:44 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80384253, -160768506, -241152759, -321537012, -401921265?\nAnswer: -482305518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19849 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*a**2 + 6*a**6 + a**6 + 3*a**6 - 7*a**2 wrt a?\nAnswer: 1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 105203.\nAnswer: -4, 8, 105203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -895*m - 35*m**2 + 1432*m - 537*m.\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 0*n + 1\/20*n**5 + 0*n**2 - 1\/12*n**3 + 1 + 0*n**4. What is a in i(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 707076, 707062, 707038, 707004?\n\"Answer: -5*o**2 + o + 707080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 887*n**4 - 22*n**3 + 164*n**2 + 91298*n + 1?\nAnswer: 10644*n**2 - 132*n + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 84325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 * -6031.\nAnswer: 1929.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2057855200 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 16) in base 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -43010, -4, -5, -2 in descending order.\nAnswer: -2, -4, -5, -16, -43010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from kllllkklkl.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/103579 and -28\/9544065?\nAnswer: 66808455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - (-9 - -61) - 19\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 551, 481, 411, 341?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Find the third derivative of 262*s**2 - 33*s**3 + 16*s**2 + 30*s**3 + 41*s**3 + 109*s**3 wrt s.\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**3 - 28*r**2 - r + 3. Let h(i) = 2*i**3 + 2*i**2 + i - 1. Calculate -a(x) - 3*h(x).\nAnswer: -13*x**3 + 22*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) 9\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 14. Let x be y\/21 - (-4)\/(-14). Let p(d) = -d + 22. Is p(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 96482*n + 192869. What is z(-2)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o**2. Let v(i) = -i + 5. Let p(h) = 18*h**2 - h + 30. Let b(w) = p(w) - 6*v(w). Give b(n(s)).\nAnswer: 3528*s**4 + 70*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*j - 63*j + 40500 = 0. What is j rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/4 - 2)\/(260\/(-8340)). Are 17 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - ((-4)\/8)\/(2\/28). Solve 1 = g*s + y, -y + 2 = -s + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-6) - (-11 - -9))*303. Let k = 231 + x. What is the second derivative of 341*o**2 - k*o**2 + 9*o + 4*o wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6874*w + 81*w**2 + 3*w**2 + 6875*w - 53 - 2*w**2. Let x(g) = -83*g**2 - g + 55. Let z(u) = 3*s(u) + 4*x(u). What is the derivative of z(t) wrt t?\nAnswer: -172*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/120 - 7*w**5\/60 - w**4\/12 + w**3 + 5*w**2. Let n be y(7). Is (n\/20)\/((-1)\/65) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.89796 + 0.4.\nAnswer: 4.29796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944497285 a multiple of 3550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167703.\nAnswer: 3, 55901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 5*k + 5*k = 21114. Calculate the highest common factor of k and 510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 30. Let r be c(26). Sort -5, r, -6, 5 in decreasing order.\nAnswer: 5, r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 30 = 2*j - 4, 3*q = 2*j + 26. Let p be 0\/(-2) - -2 - -10. Let m = p + j. Sort 5, m, -2 in increasing order.\nAnswer: -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5\/3 - 92*w**4\/3 + 364*w**3 - 1800*w**2 + 4014*w - 3348 = 0?\nAnswer: 3, 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((34\/68)\/((-182)\/(-52)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 483, 594, 705, 816?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3*d + 1. Let a(r) = r**3 + 16*r**2 - 2*r + 3. What is the remainder when a(-16) is divided by i(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/12*1\/((-189)\/(-1491)))\/(1\/2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 2)*(-5*x + x + 2*x) - x - 3 + 3)*(x + 3*x + 4*x + (5 - 4 + 1)*(x + 0*x - 2*x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, s: 5, m: 2}. What is prob of picking 1 p and 1 s?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2775518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5000 and 267246250.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 16) in base 14?\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (167\/(-334))\/((-1)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b - 4. Let g(v) = -5*v - 2. Let a(w) = -9*g(w) + 4*t(w). Suppose -3*f - 2 = -14. Suppose -f*y + 10 = -6. Determine a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-47)\/(-9) + (-4)\/18. Suppose -f = -o*f + 12. Let g = 8 - 4. Is f > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 3*d**2 - 3*d + 1. Let x be i(-3). Suppose 35 = 5*b - 4*g, x = -3*g + g. Solve 8 = 5*y - 0*l + b*l, -3*l - 2 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 9*i**2 - 6*i - 17. Determine o(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2541) - (sqrt(2541) + sqrt(2541)*-1 - sqrt(2541))))\/(sqrt(3) + sqrt(432) + -1*sqrt(432) + sqrt(432) + sqrt(12)\/sqrt(4)*-2) + 0.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 36*v + 43 = 41*v, 2*y - v = 7. Suppose 0 = -l - 2*x + 21, 4*l + x - 17 = 53. Suppose -5*i = -2*r - l, 0 = 3*r + 3. Is y smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1185970*0.5.\nAnswer: 592985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o - 52. Suppose 11 = -3*p - 2*j + o, -2*j - 26 = -5*p. Suppose 3*f = 2*d - p, 5 = -2*f - d + 1. Round f to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*z + 20, 23*u - 100*z = -127*z - 139 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*d = -2, 1 - 2 = j - 3*d. What are the prime factors of ((-4)\/j - -2) + 120?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + o - o)*(5 - 1 - 6) - 206*o + 116*o + 334*o + 329*o + (1 + 2 - 1)*(4*o - o - 2*o) + 2*o - o + 0*o to the form q + n*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2\/2 + 8229*l - 22572147\/2 = 0?\nAnswer: 2743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201031310 (base 5) in base 4?\nAnswer: 101330232311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*f**3 + 47*f**3 - 27*f**3 - 60*f**3 - 4*f**2 to the form d*f**2 + w + u*f + c*f**3 and give c.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/75 - (0 - 26\/5). Suppose -2*g + n*g = 4*p - 3, -5*p - 40 = 5*g. List the prime factors of 50*g\/10*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000278291189 rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*g - 12. Solve -c = 3*c - 8, g*c = -5*h - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 7.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 427014875 and -2811095.\nAnswer: 424203780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16224*d = 6*s - 16228*d + 2, -25 = -5*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*y + 54. Let a be 0*(y\/(-4) + 4). Solve 4*m + 4 = 0, 5*r = -a*r + 3*m - 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-18))\/((-25)\/(-675)*-42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (42\/2)\/(-7) + 37130*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386*20416\nAnswer: 7880576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -48, -151, -294, -477, -700?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 20 = -4*m, l + 4*l = -5*m - 25. Suppose l = -294*d + 291*d + 18. What is the remainder when 66 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 - 52\/(-520) - (-276)\/(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2052 - 234*f + 2052 to z*f + x and give z.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9355, -1\/3, 1\/7, -5.\nAnswer: -9355, -5, -1\/3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 417 or 0?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*b - 5*c - 20, -15 = -3*b - 3*c. Suppose b = -5*w - 2*g + 45, 4*w - 27 - 26 = -5*g. Solve -n - 3*j - j = w, 4*n - 4*j = 32 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468503 and 1519.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 807, 1537, 2265, 2991, 3715, 4437, 5157?\n\"Answer: -p**2 + 733*p + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368 and 21051210.\nAnswer: 168409680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(612) - (-4 + (sqrt(612) + sqrt(612) + 1 + sqrt(612) + sqrt(612))**2 + sqrt(612)) - sqrt(612))*5 + -4).\nAnswer: 1620*sqrt(17) + 293694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24549 is divided by 331.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 168?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1, 44 in ascending order.\nAnswer: -13, -1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483527.2 centuries to millennia.\nAnswer: 48352.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -30*u**5\/13 + 3206*u**4\/13 + 988178*u**3\/13 + 43500450*u**2\/13 + 5782500*u\/13 = 0?\nAnswer: -75, -2\/15, 0, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*304\/(-1596)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5721788 (base 9) to base 4.\nAnswer: 23301023312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12316 + 12323. Sort -1, 1\/8, 1\/4, u, -2\/23 in descending order.\nAnswer: u, 1\/4, 1\/8, -2\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1 - -1) + (0 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.3. Suppose 37*y = 40*y + 60. Let x be y\/45 - 84\/54. Which is the third smallest value? (a) 9 (b) -5 (c) o (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/21 + (-3996405)\/(-244608) + -16 and -67\/2912?\nAnswer: 11648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/7 - 20607*k**2\/7 + 106275360*k\/7 - 1166536844\/7.\nAnswer: (k - 10298)**2*(k - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -5*a**4\/4 - a**3 + 5*a**2\/2 - 3*a - 52. Let k(j) = -9*j**3 - 5*j**2 + 9*j - 5. Give -5*g(y) + 3*k(y).\nAnswer: -2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 249 = 5*r - 256, -d = r - 5 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209 + -213. Sort l, -97, -5 in decreasing order.\nAnswer: l, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.35576kg in grams?\nAnswer: 41355.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896 = w - 17*w. Suppose w*u - 61*u - 3430 = 0. What is u rounded to the nearest ten?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 + 10*b**2 - 1. Let g be c(-3). Suppose g = 11*i + 11. Let x(l) = -3*l - 1. What is the least common multiple of i and x(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*b - 24, 5*b + 2*j - 12 = -0*j. Let s(r) be the third derivative of r**4\/12 + r**3\/6 - 2*r**2. Let l be s(b). Solve 0 = -2*m - m + l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-70334\nAnswer: -140668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87746378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 14. Let x be g(-10). Let f = 2059 + -43229\/21. Find the common denominator of f and 2\/x*200\/12.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*c - 332 = 45*c. Let o = -11 - -16. Sort 1\/7, o, 0.4, c in decreasing order.\nAnswer: o, c, 0.4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.9 + -17.4. What is the second smallest value in 3, j, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 5973.\nAnswer: 29865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 273*h - 2. Let z be p(-1). Let v = z + 4123\/15. Is 1 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 24071, 1, -5, -1 in decreasing order.\nAnswer: 24071, 22, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 - 201?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 6 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38494*n**2 - 9*n + 203 wrt n?\nAnswer: -76988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -42725*c**2. Let v(h) = 23*h. Determine n(v(b)).\nAnswer: -22601525*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15857624*b. Let x(v) = -v**2. Give w(x(d)).\nAnswer: 15857624*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740.3184 hours to milliseconds.\nAnswer: 2665146240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {m: 1, e: 1, r: 2, k: 6, w: 5, z: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfz when three letters picked without replacement from {n: 1, f: 3, e: 3, z: 2, o: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11964 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13a + 1?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 836321662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3, c: 1, b: 1, t: 7}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -171947 - -253344. Suppose -5669 = 16*p - j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3077 is divided by 1525.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48065503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 13 - (-1 + -1 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(o + 3*o - 2*o)*(70 - 109 + 78) to v + w*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i**2 + 3*i**2 - 6*i**2 + (2*i + 1 - 1)*(0 + 2*i + 0))*((0*i - 2*i + 0*i)*(-2*i + 3*i + i) - 5*i**2 + i - i) - 3*i**4 + 0*i**4 + 0*i**4)*(1 + 1 - 3).\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106.362 - 107.3. Let n = z - 0.062. What is the second smallest value in n, -12, -0.2, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + z**2 - z + 4. Let p be t(0). Suppose 3*y + 242 = -4*s, -y + 3*s = -p*y - 246. Let k = y - -123. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 80601359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 29 = 3*z, 19*z - 876 = 2*r - 726 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 1, -h + 5 - 19 = 3*d. Is h at least -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 8*n**2 + 8. Let f be s(-8). Suppose 0 = -1292*l + 1290*l - 2*q - 10, -3*q = 4*l + 15. Solve -6*b - 2 + f = l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629893368 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utou when four letters picked without replacement from {o: 1, u: 6, s: 1, t: 8, g: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249675 < 1249815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -5*n**4\/12 + n**3\/3 - n**2\/2 - n. Let a(q) = -q**2 + q. Let s = 7 + 33. Let w = -39 + s. Determine w*p(x) - 3*a(x).\nAnswer: -2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-18 - (14 + -32))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75100 = 158*c - 881590. What are the prime factors of c?\nAnswer: 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.5, -5, -4 in descending order.\nAnswer: 0.4, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11467, 11442, 11377, 11254, 11055, 10762, 10357, 9822?\nAnswer: 9139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 8*s - 4. Let z be x(-7). Let p = -0.12 - -5.12. Let y = 0.18 + -0.17. Which is the closest to -0.1? (a) p (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(176)) - sqrt(176))*2 - ((0 + sqrt(1584) + sqrt(1584))*1)**2*-2.\nAnswer: -32*sqrt(11) + 12690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 + 14.2. Let g = -17 + r. Let o = -0.08 - 2.92. Which is the second biggest value? (a) o (b) 2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 7*a**2 + 377 - 4*a.\nAnswer: 7*a**2 + 377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5 - 1 + 4 + u - 1. Let w(c) = -3. Let j(p) = 6*n(p) - 7*w(p). Let o(a) = 17*a + 8. What is -11*j(v) + 4*o(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -37. Suppose -5*x = 4*u - 114 - 75, -3*x + o*u + 107 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5*c*c)\/((c**(-1\/14)\/c)\/c))**(1\/8) assuming c is positive.\nAnswer: c**(127\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**6\/24 + q**5\/15 + q**4\/6 - q**3\/3 + 10*q**2. Let r be f(-2). What is the units digit of 0 + r + (-4 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001331552 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-33)\/((-2376)\/126))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/((-3)\/(-54)). Let o(h) = h**2 + 8*h - 7. Let u be o(l). Suppose u = -y - 18. Round y to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1221051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*h. What is the nearest to h in -2, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*v, 8*v - 9 = -h + 13*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -30 + 9*x - 3*x**2 + 0*x**2 + 16. Let u be i(5). Let g = -43 - u. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 849634, 1697171, 2544720, 3392287, 4239878, 5087499, 5935156, 6782855?\n\"Answer: v**3 + 847530*v + 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4800 and 960.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883458 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184855, -739540, -1664015, -2958280, -4622335?\nAnswer: -6656180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00749 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 196725*a**2\/2 - 10*a + 5. Let v be g(9). Let b = v + -1060515. What is b rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-33) - 2\/15. Sort z, -0.4, -7, -1\/9 in descending order.\nAnswer: z, -1\/9, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**2 - 4*m - 6. What is t(-3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 + 1101011011110100011101?\nAnswer: 1101011011110011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2978*t**5 + 29*t**4 - 1042725*t**2.\nAnswer: 178680*t**2 + 696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*k + 49 = -41, 0 = 5*d - 4*k - 55. Suppose 15*w = 20*w + d. Is 16 a factor of (-11)\/(w + 20\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -962003*q**3 + 2*q**2 - 9*q + 155414407?\nAnswer: -2886009*q**2 + 4*q - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101652)\/(-788)*(-3)\/((-54)\/6).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.1, -6486, -4\/1795, 4\/7?\nAnswer: -4\/1795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 651573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -7\/27 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 89?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*a + 375 + 30. Let y(u) = -u**3 - 9*u**2 - 7*u + 9. Let r be y(-8). Put 8, 2, r, a in ascending order.\nAnswer: r, 2, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001059473 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 - c - 1. Let r(k) = 5*k**3 + 6*k**2 - 15*k - 7. Calculate r(b) - 6*z(b).\nAnswer: -b**3 - 9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**3 + 2*u**2 - 2. Give g(-2).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxgg when four letters picked without replacement from ggxggggggxggxg.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1099 - 1099 - c + 30*c.\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q + 2*b - 15 = -47*q, -3*q = 5*b + 56. Let f be -1*((-3)\/6 - 4\/(-16)). Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = -26. Let k(s) = -s**3 + 6*s**2 - 6. Give k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166\/3 + -56. Let o = -1 - -1.2. Let w = -0.3 - -0.1. Which is the closest to y? (a) o (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 234, 220, 206, 192, 178?\n\"Answer: -14*a + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2906156 by 5654.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*p + 4*t + 143, 0 = 5*t + 5. Round p to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380106783?\nAnswer: 3, 7, 2011147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 3, b: 2, i: 3, m: 3}. Give prob of sequence iim.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -3405?\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -15. Let v be 5\/u*(-27)\/90. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72109216 times 1.1?\nAnswer: -79320137.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 36 = -82. Let q(k) = -v*k + k**2 + 6 + 115*k - 7. Let u = -3 - -5. Give q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 - (1 + -12 + -8)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464926949.\nAnswer: 10993, 42293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-72) + ((-1305)\/(-4))\/(-3). Let y = -104 - c. Find the second derivative of 3*x + 19*x - 10*x**y + 13*x + 31*x**5 wrt x.\nAnswer: 420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -59*v + 43*v + 2 + 33*v - 7. Let w(u) = 18*u - 4. Calculate 5*w(b) - 4*x(b).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 264, -2650 in descending order.\nAnswer: 264, 25, -2650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7.2. Let k(x) = -x**2 - 2*x + 2. Let s be k(-3). Is s greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)*i**(1\/4))**(-10)*(i**(-3\/5)\/i*i*i*i*i*i**(-4)*i)\/(i\/i**(-2)*i**(-1\/2)) assuming i is positive.\nAnswer: i**(-408\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 6*i + 619. Is h(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a hour?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56615*f**4 + 14*f**3 + 7*f + 3700.\nAnswer: 679380*f**2 + 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -13*k**3 - 25*k**2. Let v(o) = -3*o**3 - 6*o**2. Determine -2*l(t) + 9*v(t).\nAnswer: -t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -745*b. Let q(f) = 9*f. Calculate x(q(m)).\nAnswer: -6705*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16420 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 11 = 4*x, -26*x - 7 = -22*x - 5*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -0.5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2\/27*v**3 + 0*v - 1 + 2\/45*v**5 - 1\/18*v**4 + 1\/9*v**2. Factor u(c).\nAnswer: 2*c*(c - 1)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*w - 366, -3*w + 3*r + 352 = -r. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 2. Let b be g(4). Suppose 25 = 3*d + b*d. Suppose -2*v - 84 = -d*v. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 4040298.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 614\/9 - 68. Let n = 0.553 - 0.153. What is the nearest to -1 in n, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2657 + -21?\nAnswer: -2678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 9*g - 6. Let h be p(-8). Suppose 0 = -5*r + 20, -h*a + 9*r - 4*r = -58. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3822 (base 9) to base 6\nAnswer: -21115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -63.36507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*l + 99*l + 48 = 0. Let g be (-56)\/(-63)*(24\/4)\/l. What is the nearest to -2 in g, 10\/3, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*k + 19*k - 15*k + 798 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*q + 60, -q + f = -3*f - 37. Suppose 0 = -2*r - 7 + q. 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 the value of 90\/50*(2\/6)\/((-20)\/50)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78488.8 nanometers in meters?\nAnswer: 0.0000784888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25780, 52067, 78354, 104641?\n\"Answer: 26287*j - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 25*z**2.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5413 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 263 + 1165. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39152 = 7*a - 129025. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + -0.12. Which is the third biggest value? (a) 1 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -r + 15. Let a be 5\/((-10)\/r)*-10. Let w = 366 + a. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202877 by 2.\nAnswer: -202877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 4. Let m = -0.5522 + 0.4522. Which is the closest to m? (a) r (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 64 = -5*d - 12, 4*d = 2*r + 38. Let x(t) = t - 7. Let j be x(d). Suppose j*h - h - 46 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 382*k + 754*k + 1259*k to c*k + w and give c.\nAnswer: 2395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -139161?\nAnswer: 139161.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*z - 18575 = -651*z - 6605 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*x - 30563 = -8739 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28576567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164148459 is divided by 5515.\nAnswer: 5514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -20. Which is the third biggest value? (a) -4 (b) 1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (0 + 2))*1. Let p = 7617\/19 + -401. What is the nearest to -4 in t, 0.3, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-193)\/1)*(-270)\/8. Let u = m - 272201\/42. Let k = -40\/41 - -1093\/574. What is the common denominator of k and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 311 + 104 = 0. What is the tens digit of n\/6 + 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2880) + -2) - (-2 + sqrt(2880) + 2))**2.\nAnswer: -1152*sqrt(5) + 25984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 251*l. Let j(b) = -3*b**2 + 5496. What is m(j(g))?\nAnswer: -753*g**2 + 1379496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*g + 49*g - 95*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62345191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5534 - 2237*s**4 + 1555*s**4 + 1194*s**4 wrt s.\nAnswer: 2048*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2. Let c(q) = -q**3 - 6*q**2 - q - 4. Let m be c(-6). Let g = 1 - 1. Let p(h) = -h + g*h - m*h + h. Calculate p(n(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/1044*(3\/15)\/((-6)\/10)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2787 - 2785. Factor -2\/5 + 4\/15*r + 2\/15*r**s.\nAnswer: 2*(r - 1)*(r + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:08 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2*s**2 + 2*s + 1. Let v be h(-2). Let u be 27\/v*(-2)\/3. Find the third derivative of 5*g**2 - 7*g**2 - g**6 + 2*g**u wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Suppose 2*d = -3*d + 5, 4*b - 5 = -5*d. Suppose b = -5*o + 1 - 11. Sort 3, g, o.\nAnswer: o, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*g = 18 + 19, 5*r - 55 = 5*g. Suppose k - r = -q, 0 = -2*q - 3*k - 10 + 22. Solve q = -7*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -739 + 742. Suppose -9 = j + 2*j. Let y = 6 - j. Do m and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27605 - 27605.4. Which is the closest to 0.04? (a) x (b) -0.5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a microgram in nanograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/5)\/(x\/x**(-1\/3)*x))**20 assuming x is positive.\nAnswer: x**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 1 - 9*o + 0*o. Let d(q) be the third derivative of 7\/24*q**4 - 2*q**2 + 0*q + 1\/6*q**3 + 0. What is -6*d(r) - 5*f(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 371.18 + -373. Let k = w + 1.42. Let a = 0 + 1. What is the third smallest value in -2, k, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2 + -4 + (-7 - -801)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -14 + 6. Calculate the remainder when 33 is divided by w*(-4)\/16*12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((15\/(-7))\/(24\/42))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (1405\/(-67) - (-218)\/(-7303))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/46970 and 13\/12810?\nAnswer: 140910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -20 - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**5 + 5*l**3 - 8*l**2 - 4*l + 10. Let t(j) = j**5 - j**3 - j**2 - j. Let h(v) = 4*t(v) - w(v). Find the third derivative of h(i) wrt i.\nAnswer: -120*i**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983.51 rounded to the nearest 10?\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/33*(-18)\/24. Solve -18 = -3*g + n*z - 5*z, 4*z - 23 = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 350 in -2, 2, 0.4, -399, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 2\/11 (b) -0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1552\/192 - (-13825)\/420\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/335?\nAnswer: -6\/335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 896 and 0.137029.\nAnswer: 122.777984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009122 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -17*n + 208. Let f be z(-15). Suppose 6*u = -f + 4063. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-10))\/((13\/(-2))\/(-13)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1225)\/4802*-322 - ((-1)\/7)\/(-1). Solve -81*r = -k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a - 18*a + 0*a - 16*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-2)\/(-4)). Let a(o) be the third derivative of -o**4\/12 - 9*o**2. What are the prime factors of a(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 6*u - 2*u. Let f = -18 - u. Suppose f*n + 30 = 3*z - 182, -2*n = -3*z + 200. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-12))\/(((-231)\/18)\/(-11)). What is the closest to 1\/4 in -0.08, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7973227134 + 52217.\nAnswer: -7973174917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 817, 1590, 2363, 3136?\nAnswer: 3909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q)*(2*q**3 + 4*q**3 - 7*q**3) - 2*q**4 - 2*q**4 + 6*q**4 - 5*q**3 + 74*q**4 + 11*q**2 - 44*q**4 - 37*q**4.\nAnswer: -3*q**4 - 5*q**3 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 - 5*s + 13*s - 6*s)*(106 - 54 + 25) to d + o*s and give d.\nAnswer: -1925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -226 divided by -226\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 263*o - 1. Let p = 13 - 14. Let h be l(p). Find the common denominator of -137\/6 and (-5804)\/h + (-6)\/(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 349*x**3 + 5*x**2 - 13*x - 43007?\nAnswer: 1047*x**2 + 10*x - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*n + 62*n = 10912 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186240, 186233, 186222, 186207, 186188?\nAnswer: 186165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/30)\/((-12)\/18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**6\/18 - 11*t**4\/12 - 2*t**3 - 4*t**2\/3 + 29. Find l, given that o(l) = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 70.9 and 32.5.\nAnswer: 103.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2931.87 months in centuries?\nAnswer: 2.443225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55950)\/1700 + 13 + 18 + 2?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/99*15)\/((-25)\/(-60)*3)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 12:00 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/73 - 302\/365. Which is the smallest value? (a) 11 (b) f (c) -4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 121*l = 45*l - 68, 0 = 4*t + 4*l - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5\/9 - 4016*s**4\/3 + 2003948*s**3 + 36397008*s**2 + 164275938*s.\nAnswer: 2*s*(s - 3021)**2*(s + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 199550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 + -57?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 277536 and 185024.\nAnswer: 555072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 55 - 15 = 0. Let w = b - 4. Let z be w\/(-10) + 8\/20. Solve -5*q + d = -4*q, z = -4*q + d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/63)\/(14175\/(-2205))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 33 = 6. Let d be (u\/(-6))\/((-15)\/(-40)). Suppose -4*p - 52 = 76. Sort 5, p, d in descending order.\nAnswer: 5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3256 + 94. Let r = 20042 + x. Suppose 0*j - r = -2*l - 3*j, -25320 = -3*l + 5*j. What is l rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1.83?\nAnswer: -0.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 3*c**4\/4 + c**3\/3 - c**2\/2 + 2*c. Suppose 4 = -2*z + 10, 2*u = -2*z + 8. Give s(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1456 - 1309 = -12*q + 3*w, -3*q + w - 112 = -76 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -13. Suppose -t*z + 4 = -2*z. Suppose 0 = -2*l + 3*v - 4, -2 = 4*l + v + 6. Sort 10, l, z in decreasing order.\nAnswer: 10, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 14166335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**3 + 371*n**2 - 8043?\nAnswer: -9*n**2 + 742*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.2 + 38. Let n = 75\/77 - 6\/11. Let l = 0.1 - 0.1. What is the second biggest value in n, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 366163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d - v - 14, -2*v = -5*d + 25. Suppose d*j = j + 26. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -9, 1, -5 in increasing order.\nAnswer: -9, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -16*u**2 + 7*u. Let b(x) = -11*x**2 + 5*x. Give 7*b(z) - 5*k(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 10*n = 28. Suppose 10*o - n*o - 90 = 0. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -1. Suppose 4*f = -3*z - l, z - 3*f = -2*f - 14. Let m be (-60)\/z*42\/4. What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*q**3 - 18*q - 15*q**3 + 55*q**3.\nAnswer: 10*q**3 - 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 84*r - 52*r + 37*r - 195 + 42*r wrt r?\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 407*o**3*w**5 - 3*o**3*w**2 + 22*o**3*w + 2*o*w**2 + 5*w**6 wrt w.\nAnswer: 24420*o**3*w**2 + 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4 + 3489424*x**3\/3 + 2326226*x**2\/3 - 10468272*x - 6978840 = 0. Calculate x.\nAnswer: -581570, -3, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 211582*s**2 - 3*s - 9. Let f(b) = -3*b**2. Determine t(f(r)).\nAnswer: 1904238*r**4 + 9*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16832)\/(-528)*3*11 is divided by 262.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 6, -9, -52, -135, -270, -469?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 64*f - 9. Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-2)\/(12\/23) and 4 - (4\/24)\/(18\/4482).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 17, 27, 37, 47, 57?\n\"Answer: 10*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d**2 - 12*d + 10. Determine l(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 9, -11, -51, -117, -215?\n\"Answer: -h**3 - h**2 + 4*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9378148 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 0*z**3 + 3*z**3 + 1426 - 2*z.\nAnswer: 3*z**3 + z + 1426","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Suppose -t*p - p + 36 = 0. Suppose 0 = 7*u - 31 - 14 + 3. What is the highest common factor of u and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.144 - -358.7.\nAnswer: 358.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (3 + (sqrt(95)\/(sqrt(20)\/sqrt(4)) + 5)*-3)**2).\nAnswer: -216*sqrt(19) - 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 17 = 3*c, 2*z - 3*c - c - 44 = 0. Let q = 93 - z. Calculate the remainder when q is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmg when three letters picked without replacement from migfknim?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 61, 15, -49, -131, -231, -349?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3270388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 273*b*r**2 + 7*b*r + 8082746*b + 3*r**2 - 2*r wrt r?\nAnswer: 546*b*r + 7*b + 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-13)\/2 + (-147)\/(-21))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 1)*(5 - 3 + 0)*(n - 4*n + n).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2992?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/13 - 4*m**2\/13 = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11a275 (base 11) to base 3\nAnswer: 100121201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 868 and 41323.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 - 3 - 2*j**2 + 5*j + 3*j**4 + j - 5*j to q*j + f*j**4 + u*j**2 + w*j**3 + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -5*c**4\/24 + c**3\/6 + c**2. Let z be (2 - 5)\/(-9)*6. Suppose z = -4*l + 6. Give s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*r - 94081 + 11995 = 0, r = 1. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -725620 to the nearest ten thousand.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - r)*(2*r - r + 2*r) + 2*r**2 - 7*r**2 - 2*r**2 + (-2 + 2 + 2)*(-5*r**2 + 0*r**2 + 4*r**2) in the form b*r + a*r**2 + l and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**3)\/(o\/o**(-1\/3)))\/(o**(1\/2))**(2\/99))\/((o*(o**(-1)*o)\/o*o)**(50\/3)\/(o**(-2\/3))**48) assuming o is positive.\nAnswer: o**(-4555\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18676 is divided by 2286.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 b when four letters picked without replacement from {b: 2, t: 1, i: 7}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by 14\nAnswer: -97\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (0 + -3 - -8) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**3 + k - k)*(-2*k + 2*k - k)*(0*k + 3*k - 2*k).\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-2)*12\/(-10). Let v = -1.6 - -0.6. What is the third biggest value in -2, n, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Let q = 7 - s. Solve 0 = u + q - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1879, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 1 - 32\/(-1). Let m = l + -11. Calculate the remainder when 9*(-77)\/(-198)*16 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 346529063 and 346529065 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.1244 - 0.4.\nAnswer: -21.5244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -10.2. Let f = 1 + 2. What is the biggest value in 1\/11, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107169341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -21 - (-8 - (6 - 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by 7777?\nAnswer: 240\/7777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 - 457044*y**3 - 17404692336*y**2 + 208907499840*y - 557125670400 = 0. What is y?\nAnswer: -76180, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 88290*u**2 - 389667900*u + 779689000.\nAnswer: -5*(u - 2)*(u + 8830)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12375, -12397, -12433, -12489, -12571?\n\"Answer: -s**3 - s**2 - 12*s - 12361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 663454731 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 0*d**2 - 14 - 39.\nAnswer: d**2 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 12. Let l = g + 1. Sort 5, l, 0.3 in descending order.\nAnswer: 5, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 3*f - 88 + 255, 3*c - 3*f + 354 = 234 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05483*9860.\nAnswer: 540.6238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -95*p - 4612. Determine z(-48).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*k - 53*k = 74*k + 108 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 3531*t**3 - 475*t**3 - 165*t**2 + 167*t**2 in the form a*t**2 + o*t**3 + j*t + w and give o.\nAnswer: -4006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - t + 5 = 0, -6*g + 3*g = -t - 11. Let w be ((-10)\/10 - 0)*g\/(-14). What is the biggest value in w, 2, 0.6, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 66 + 682 = 0. What is the remainder when 47 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1697281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 2*b + 10. Give d(-6).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 0, 7*q - 3*q = 2*t - 2184. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x + 1. What is m(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991063048?\nAnswer: 2, 3221, 38461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1729*60\/3420*54\/78.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -3*s**4\/4 + s**2\/2 + s - 48. Let r(x) = -x**3. Determine d(u) - 4*r(u).\nAnswer: u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r*r*r*(r**(2\/17)*r)\/r)\/((r*(r*r**1*r)\/r)\/r**(-3\/7))*r**(-1\/3)*r**(-3)*r*r**(-5)\/r*r\/(r*r**(-3)) assuming r is positive.\nAnswer: r**(-1301\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 29329255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*w = 151*w + 28. Let o(c) = c**2 - 5*c - 1. Let h be o(4). Is h >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4 + 6*j - 2*j + j**2 + 5*j. Let h(w) = w**2 + 10*w + 4. Let a(y) = 3*h(y) - 4*r(y). Calculate a(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2385841 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 5*l + 5 - 42, -4*l = -5*v + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 381308836 to the power of 1\/2, to the nearest integer?\nAnswer: 19527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 34.8. Let m = -1.2 - p. Let i = 0.3 + 2.7. Which is the closest to m? (a) i (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 904 and 220.\nAnswer: 49720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfpmuu. Give prob of sequence pf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1389?\nAnswer: -1389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4087 less than or equal to -4087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41.1 - -38.5. Which is smaller: -2\/33 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 3*w**8\/112 - w**6\/40 + w**4\/4 + 2*w**3\/3 - 30*w**2. Find the second derivative of x(m) wrt m.\nAnswer: 180*m**3 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:07 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11975 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 0. Let h be -6*1*(f - -3). Let p = h - -65. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -21129*j + 169022. Calculate m(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/9)\/((-4)\/6). Let q(c) = 3*c + 1. Let h be q(x). Let w be (-4 - -2)\/h*-4. Let o(i) = i**3 - 2*i**2 + 2*i. Calculate o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Let d(l) = l**3 - l**2 - l - 1. Let a(o) = o**2 + 1. Let z(f) = -2*a(f) - d(f). Let t be z(-2). Let u(y) = -t + 4*y + 1. Calculate x(u(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a factor of 2009112587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2163*g - 15 = -2168*g. Let j = -6 - -9. Suppose g*w - 6*w = n - 269, -w - j*n = -95. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8301, 16609, 24923, 33243, 41569, 49901, 58239?\nAnswer: 66583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)\/(sqrt(5) + -2*sqrt(5) - sqrt(5)))**2*-5 - (2*1*sqrt(26))\/sqrt(2))*3.\nAnswer: -195\/4 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3019 + 3103 - (1 - -106)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 + 92 + 102)*(-u**2 + 3*u**2 - 4*u**2) in the form l + r*u + n*u**2 and give n.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 676, 714, 814, 1006, 1320, 1786, 2434?\n\"Answer: 5*l**3 + l**2 + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d. Let o(j) = 22*j**2 + 7*j + 1. What is -14*k(q) + 2*o(q)?\nAnswer: 30*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6 and 2\/44*7\/((-7504)\/(-960)).\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 56*h - 613. Let c be f(11). Solve -3\/2*w**4 - 9\/2*w**2 - 9\/2*w**c - 3\/2*w + 0 = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33328 - -33359.9985. Let d = m + -32. What is d rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-182 + 201 - 95)*(-4*u - u - u + 1) to x + l*u and give x.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 10:02 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*h - 66*h + 2*n + 11, 4*h - 2*n = 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9404849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 151, 164, 177?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334986, 334985, 334984?\nAnswer: 334983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71 - 33?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 0*r - 2*r)*(-1 + 0 - 1) + 0*r - 21*r + 2*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (517*n + 1548*n - 639*n + 1)*(4*n**2 - 4*n**2 - 2*n**3) in the form z*n**3 + h*n**4 + a + b*n**2 + g*n and give h.\nAnswer: -2852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 1433 - 679 = 0. Let u be ((-5)\/(-1)*j\/(-20))\/(-2). Suppose -19*g + u*g = 3027. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -9*v**7\/14 - v**5\/20 - 3*v**3 - 2*v**2 - 16*v - 1. Find the second derivative of r(b) wrt b.\nAnswer: -540*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 225, 232, 243, 258, 277, 300?\n\"Answer: 2*h**2 + h + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 97 (b) 4 (c) 1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, 353 in decreasing order.\nAnswer: 353, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 44*o + 3262. Give m(-74).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -508116, -508059, -508002, -507945, -507888, -507831?\n\"Answer: 57*d - 508173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = f - 2*f + 2, 3*x - 4 = -f. Let g be -3 - x\/(6\/(-9))*-1. What is the common denominator of 61\/33 and 149\/(-5)*((-7)\/g - 2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) + (-3)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7808, -31983, -72522, -129425, -202692, -292323, -398318?\n\"Answer: -8182*j**2 + 371*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -172, 29675 in decreasing order.\nAnswer: 29675, 7, -5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 7*l - 5. Let i be q(-8). Does 37 divide (111\/2)\/(i\/(-26))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253757276?\nAnswer: 2, 43, 197, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*m**3 - 2*d*m**2 - 7*d*m - 38*d - 56*m**3 wrt m.\nAnswer: -12*d*m - 4*d - 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 19. Suppose -2*n + 0*n + 6 = a. Solve 5*i + 2*c + 13 = 0, -n*i + 6*i + 11 = 2*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2. Let q(c) = -2*c**2 - 4*c + 1846. Determine q(g(j)).\nAnswer: -72*j**4 + 24*j**2 + 1846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -1466*q**2 - 775\/3*q**3 - 37\/3*q**4 + 200\/3 - 3460\/3*q = 0.\nAnswer: -10, -1, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 60 = -4*h, -g + 40 = -5*h - 1. Let m be (-1 - -1) + (10 - g). Let x = m + 17. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -238861069 or -238861071?\nAnswer: -238861069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a20 + 8?\nAnswer: -2a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2)\/m)**(30\/7))**(-16)*(((m\/(m\/m**1*m))\/m)**(-2\/37))**(-45) assuming m is positive.\nAnswer: m**(34890\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73*14766\/62488)\/((5\/(-4))\/(-5)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, 10, 15, 12, 1, -18, -45?\n\"Answer: -4*v**2 + 25*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**49*s\/s**7*s\/(s**6*s)*s*s)\/((s**(-1))**(-50)\/(s**5\/s**2)) assuming s is positive.\nAnswer: s**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157958735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + -176. Let t = 97 + a. Let g(x) = 11*x + x - t*x. Let o(d) = -4*d**2. Calculate g(o(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*o + 3*a, -2*a - 22 = -3*o - 5. Suppose 61 = 4*x - o. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*c**5 + 0 - 48\/7*c**3 + 52\/7*c**2 + 12\/7*c**4 - 18\/7*c.\nAnswer: 2*c*(c - 1)**3*(c + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 20*v - 33 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 22. Suppose -3*o + o = -6. Suppose 4*c - 78 = 5*q + 5*c, 0 = o*q - 2*c + 39. Calculate the least common multiple of d(q) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -7*j - 15. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 2 (b) -5 (c) -4\/3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14460 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-52)\/39)\/2)\/(3\/18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 = -4*a, 3*a = 3*o - 8*o + 12. Suppose -56 + 212 = o*h. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585 = 130*b - 85*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 8*m + 1. Let q = -1 - 3. What is the remainder when (-228)\/(-28) + -8 - (-93192)\/924 is divided by t(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a - 2*a - 3*a - 22 - 3*a. What are the prime factors of s(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(384))\/sqrt(2).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*l + 5, -4*n + 31237*l - 4 = 31233*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 9:40 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 403\/3216 - 7\/67. Let w(h) be the third derivative of 0*h + i*h**4 + 9*h**2 + 0 + 1\/120*h**5 + 0*h**3. Determine n, given that w(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12 (b) -17.8 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-4*4\/(-16). Suppose 470 = -u*q - 670. Let p = q + 619. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/((17\/(-11) - -1) + 103416\/(-5456))?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002092942456 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**6\/360 + q**5\/24 + q**4\/24 - 2*q**3\/3 + 8*q**2 - 20. Let a(k) be the third derivative of t(k). What is a(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 3*o + 9, -11 = 4*c - 5*o. Suppose n = -2 - c, -b + 3*n + 10 = 0. Solve 1 = z - b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-356)\/6)*36\/24. Let d = -80 - l. Let w(k) = k - 5. What is w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1) + 5\/3. Let x = -4 + 3.6. Suppose 3*p + 17 - 47 = -12*p. What is the closest to p in o, x, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)**(-21\/8))**(6\/5)\/((h**7*h*h**(-3\/11)*h*h)\/(h**(2\/7)*h*h*h*h**(-5))) assuming h is positive.\nAnswer: h**(-881\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 678316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -3*u - 27. Let h(q) = -4*q**3 - 25*q**2 + 4*q + 13. Let i be h(-2). Let n = u - i. Let m(g) = g - 2. Calculate m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 75*h + 3459. Give v(-46).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-39)\/(-18))*171\/(-27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 20. Let t be 2\/(-4) - (-40)\/b. Suppose -2*g = t*g - 288. Does 34 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 272 - 1098. Let v = 118 - q. Solve 4*f - 18 = y + y, 4*f - 3*y - 19 = v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253643719 to the power of 1\/2, to the nearest integer?\nAnswer: 15926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, h: 1, w: 3}. What is prob of sequence hz?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:29 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -6 - 6, 5*f = 3*y - 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 899, 878, 827, 734, 587, 374, 83?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 890706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47900273 + -0.01.\nAnswer: 47900272.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -43*o**2 - 2*o + 11. Let w(c) = 30*c**2 + c - 7. Let k(u) = -7*n(u) - 10*w(u). Let p be -1 - 1 - (-2 - -7). Calculate k(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34 - 61*g**4 - 78*g**4 - 31 + 55 + 4*g**2 wrt g?\nAnswer: -3336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.7 - 3.8. Let n be 5673\/(-90) - 1\/(-5). Let i = 63 + n. What is the third biggest value in d, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2*y + 10*d**2 - 178648*d*y + 2*d - 6907971*y wrt d.\nAnswer: 2*d*y + 20*d - 178648*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 192 (b) -216 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**2 - 32. Let d be y(-2). What is the units digit of 70*2\/(-2 - (-12)\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 - 160*v**2 - 181*v - 90. Does 8 divide p(-79)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-13)*j)\/(j\/j**8))**(-36))**(1\/15))**(2\/33) assuming j is positive.\nAnswer: j**(32\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 25 - 9*r**2)*(-8*r**2 + 3*r**2 + 7*r**2) - r**4 + r**4 + 2*r**4 as o*r**3 + b + i*r**4 + d*r + j*r**2 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:29 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2 = j, 0*j - 2*j - 3*c + 1 = 0. Suppose 2*i = 7*i - 20. Let s(k) = -i*k**j + 1 - 1. Let b(q) = -4*q. Determine b(s(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(2936\/416 - 7). Find the second derivative of k*y**3 + 0*y - 5*y - 4 - 2*y - 1 wrt y.\nAnswer: 624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 4*c + 2*c. Let y(d) = -3*d + 5. Let h be y(7). Let p = h - c. What is the least common multiple of p and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -3\/2 (c) -4 (d) -0.034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8939*d + 748*d + 819390 = -2919*d for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*(-160)\/120*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-2) - (-1179)\/262.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*b - 4*b + 160, -2*b = 4*h - 80. Suppose 3*j - 22 = 5*r - 6, 5*r + b = -5*j. Let d(x) = -x + 3. Determine d(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23816 by -457.\nAnswer: 23816\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - l)*(1 - 1 + 2*l**3)*(-2 - 4 + 4 + (-5 + 2 + 0)*(-3 + 0 + 5) + 2 - 6 + 3).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - s + 4 = -5, -3*k + 15 = -2*s. Let x be (k + 197)\/(12\/(-16944)). What is x rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2335.3 + 2335.2. Let f = -0.1 + 0.5. Put u, 3\/5, 35, f in decreasing order.\nAnswer: 35, 3\/5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10 and -11\/22223780.\nAnswer: 22223780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1889 - 1880. Put -5, 3, i, 5 in ascending order.\nAnswer: -5, 3, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6182.270719 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 8 + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -427 divided by 2?\nAnswer: -427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d + 9*d**2 - 80 + 0*d**2 - 13*d**2 = 0.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 14, 13 in increasing order.\nAnswer: -3, 1, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 4*f + 0*f to l*f + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -162, -368, -652, -1014, -1454, -1972?\n\"Answer: -39*c**2 - 11*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(238\/(-4))*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -15*c**2 + 5*c. Let w be l(5). What is w rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-560)\/168*(-6)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729?\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.73 + -5.83. What is the closest to r in 27, -5, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2 - 6648*o - 7696415 = 0.\nAnswer: -5155, -1493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5011613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/10*(13870\/2052)\/(-73)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6286 + -1ab?\nAnswer: 60a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khvmbmvkvmkhl. Give prob of picking 1 k and 1 h.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let u(j) = -j**3 + 2*j + 1. Let q be u(-1). Solve q = r - b*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -25*x**4\/24 + 3*x**2. Let c be w(-2). What is the highest common factor of 125 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 106425*r + 5128. Is l(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 9518\nAnswer: -6662.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.8981ml to litres.\nAnswer: 0.0318981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 = -90*j - 3 - 701 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 2*u**2 - 2*u**2 + 2*u + 7*u**3 - 4*u**3 in the form x + t*u**3 + v*u + b*u**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z*z**(3\/7)*z*z*z))\/z)**(1\/64)\/((z*z\/(z**(17\/2)*z))\/(z\/((z**(1\/8)\/z)\/z))) assuming z is positive.\nAnswer: z**(4603\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-6)\/(-4))\/(4631\/(-770) - -6). Solve 0 = 12*r + 23*r - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -25?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -21*y + 45. Let x(i) = 41*i - 86. Determine 14*s(u) + 8*x(u).\nAnswer: 34*u - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6480, 6328, 6152, 5946, 5704, 5420?\n\"Answer: -j**3 - 6*j**2 - 127*j + 6614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.387 and -0.1241?\nAnswer: 0.5111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 17. Determine m(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29116.77 minutes in microseconds?\nAnswer: 1747006200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -51. What is the greatest common divisor of p and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 2*z**2 - z**3 - z**4 - 2*z**3 - 3 + 0 as t*z**4 + g + c*z + f*z**3 + p*z**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 14*o - 29. Let v be i(8). Solve v*s + 2*h - 23 = 24*s, 12 = -2*s - 2*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 16 + 3)*(-3*b**2 + 3*b**2 - 3*b**4 + (-2*b**3 + 0*b + 0*b)*(-4 + 4 - 2*b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2586410 or -2586407?\nAnswer: -2586410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(-5*(-3 + sqrt(539)*1) + (3*sqrt(11) + 0 - (-1 + sqrt(11) + -3)))**2*-6.\nAnswer: -148077 + 15048*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 - 46*h**3 - 204*h**2.\nAnswer: -2*h**2*(h + 6)*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(3\/2))\/36.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = -28*a + 2703. Calculate the remainder when 424 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/11 (c) 0.3 (d) 0.5 (e) 1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {h: 2, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1571?\nAnswer: 1571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 15*z**3 + 21*z**3 - 34*z**3 in the form g*z**3 + m*z + n*z**2 + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-1\/2)\/((((m\/((m\/(m*m*m\/m**(-1\/27)))\/m)*m)\/m)\/m)\/(m*m\/m**(1\/4))) assuming m is positive.\nAnswer: m**(-193\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*q - 37613 - 4178*q**3 + 37623 + 56*q wrt q?\nAnswer: -25068*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(75) + -4 + sqrt(75).\nAnswer: -4 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*m**2)*(324*m + 7981*m - 1038*m).\nAnswer: -14534*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667186 is divided by 333510.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-5)\/(-2) + -1). Let k(a) = 2*a + 0*a**2 - 4 + a**o + 0*a**2. Is k(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -13.1. Let b = 724 - 6524\/9. Put j, b, 0.3 in decreasing order.\nAnswer: 0.3, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/504 and -57\/349216?\nAnswer: 3142944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 58. What is the third biggest value in 1.6, k, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*q**3 + 26*q**3 + 149*q**2 + 6501*q - 6498*q + 1 - q**3 - 2*q**3 + q**3 + (3*q - q - 4*q)*(-q + q + q**2) - 3*q**3 + 1 - 1.\nAnswer: -8*q**3 + 149*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + y - 2*y + (4*y + y - 4*y)*(2 - 3 - 1) - 2*y - 2*y - 4*y to the form d*y + n and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + ((-2)\/8)\/((5 + -14)\/(-108)). What is the smallest value in 5, -2, p, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11941 is divided by 162?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61.97 + -62. Let p be 6\/(-4)*40\/105. What is the closest to -0.1 in -3\/4, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 - 298. Is m greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/19 - 8*c\/19 + 24\/19 = 0?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.73 minutes in days?\nAnswer: 0.0935625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(17) - (sqrt(17) + sqrt(17)*-2))*-4)**2.\nAnswer: -2176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6274262 = 2*p + 27114262. What is p rounded to the nearest 100000?\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utuuxuxuucxttxc. What is prob of picking 2 c?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -134aa2 (base 11) to base 13\nAnswer: -75426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n**(-5\/13)\/n)*n))\/(n*n**(-2\/47)) assuming n is positive.\nAnswer: n**(-2653\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 379360?\nAnswer: 379360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11760, -46642, -104752, -186090, -290656?\n\"Answer: -11614*t**2 - 40*t - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -465 + 465 + 4888*i - 1530*i + 5406*i to t + x*i and give x.\nAnswer: 8764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 47 = -3*n, -277*n - 4*k = -272*n + 91 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -75*b**3 - b**2 + 3*b. Let j(y) = 76*y**3 + y**2 - 2*y. What is -2*f(u) - 3*j(u)?\nAnswer: -78*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/18)\/(1\/2*3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) + (-12)\/(-4). Suppose 3*o - 11 = -z. Suppose -r = -0*r - 2. Solve -o*i - 2*b - 23 = 0, r*i = -3*i + b - 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4841442572 divided by -4?\nAnswer: -1210360643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235063 to the power of 1\/2, to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y - 1. Let l(n) = -n**2 - 9*n + 10. Determine -2*l(x) - 18*r(x).\nAnswer: -16*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739873261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/565351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 60*o + 3. What is j(2)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49591*k - 49595*k - 5*f = -47, -2*k + 4*f = 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13 and 17621821062?\nAnswer: 17621821061.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*l**3 + 11*l**3 + 13*l**3 + (2*l + 0*l - 4*l)*(1 - l**2 - 1) - 6*l**3 - l**3 + 3*l**3)*(8 + l - 8) as v*l + s*l**4 + m*l**3 + q + x*l**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 358180, 716361, 1074542, 1432723, 1790904?\n\"Answer: 358181*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(4 - 4 + 22*y)*((-1 + 5 - 2)*(0*y**4 - 2*y**4 + 0*y**4) + y**4 + y**4 + 0*y**4 + 5*y**4 - 3*y**3 + 3*y**3).\nAnswer: 198*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107 - 55) + -43 - (-20 + -2 + 2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 0. Suppose 2*n + f + 2*f = 73, 2*f + 142 = 3*n. Calculate the greatest common divisor of y and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*d**2 + 6*d**2 - 4)*(-d + 3*d + 2*d).\nAnswer: 16*d**3 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 6*n + 36. Let x be i(-9). Let w be 4\/(-14) - (-6)\/63*x. Is -4 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 - 390*x**3 + 2235*x**2 + 13460*x + 14940.\nAnswer: -5*(x - 9)*(x + 2)**2*(x + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 5 = -16*m, -12 = 2*i + 4*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -6545818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71277667 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 550*w - 1 + 235*w + 275*w + 11*w.\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 544602 and 99246.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 159 = -5*x + 549, 2*x = -r + 699. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 3*a + 2*a)*(-222057865*a - 6867*a**2 + 222057860*a - 439*a**2) to the form c*a**2 + w + o*a + g*a**3 and give g.\nAnswer: 7306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 + 13*a**3 - 7 + 4*a**2 - 7*a - a**2 - 14*a**3. Let f be v(6). Let r = f + 100. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1956 and 12312?\nAnswer: 2006856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (0 - (-2 - (11 - 19 - -35)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -19*l + 1. Let k be n(-1). Solve 7*m = 2*m - k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*c - 16. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -992 + 2572 = 5*f. Suppose 8*g - 4*g = -2*m + f, -2*m + g + 301 = 0. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501794.\nAnswer: 2, 37, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 358414*o. Let x(i) = -3*i. Give x(d(b)).\nAnswer: -1075242*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -58465*y - 467729. Give q(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20192 (base 14) to base 12\nAnswer: 38798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12555432 and 42.\nAnswer: 87888024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = m + 16, 5*r + 12 - 32 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 61442604\/126 + (-10)\/(-35). What is r rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6482*u + 285 = 6463*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-3) + 1 - 0. Let u(m) = m**2 + 6. Calculate u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4299 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + sqrt(128) + 0 + 5 + (5 + sqrt(128) + 2 - (sqrt(128) + (sqrt(128) - sqrt(128)*-2) + sqrt(128) + -3 - sqrt(128))) + 5)**2.\nAnswer: -736*sqrt(2) + 1041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27659617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Let r = -2 + 5. Suppose c = -3*i + 14, 3*i + i = -r*c + 17. What is the third biggest value in 2\/15, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 40 = -i. Let a = i + -2. Suppose a*d - 3*d - 42 = 0. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.7 (b) 0.1 (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-8)\/(-5))*5. Let r(p) = -11*p**2 - p + 5. Let k(b) = -6*b**2 - b + 3. Let t(s) = l*r(s) - 5*k(s). What is the second derivative of t(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467421 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + 105\/(-170). Let h = -10.01 - -6.01. Sort h, -12, y, -1 in decreasing order.\nAnswer: y, -1, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 + 123. Calculate the highest common factor of s and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5683*p**2 - 7610*p**2 - 7253*p**2 to j + a*p**2 + d*p and give a.\nAnswer: -9180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -9 (c) 0.5 (d) -561\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*y**4 + 24*y**4 - 5*y**4 + 5603*y**3 - 5566*y**3 - 10*y**4 + y**2 as g*y + i*y**4 + m + n*y**2 + r*y**3 and give i.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3\/5, -4\/223093?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-14))\/4)\/((-378)\/2205).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/12 - 2*d**5 - d**4\/12 - 405*d**3\/2 - 1623*d**2. Differentiate a(b) with respect to b.\nAnswer: -30*b**2 - 240*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*(j\/j**(-5\/3))\/j*j))*j**5)**(38\/7)\/((j\/(j*j**(1\/2)))**(-45)*j*(j\/j**2)\/j*j*j**(-2\/3)) assuming j is positive.\nAnswer: j**(353\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - n + 3)*(-167*n**2 - 3*n - 2 + 24*n - 23*n) to the form s*n**2 + w + j*n + r*n**3 and give r.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4158\/1782*-12*9\/(-210).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2832 - 2360. Let y be x\/990 + 2\/9. Suppose u - 7 = -5*v, 2*u + 2*v = v - 4. Is u >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:02 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -20, -2*a + 4*j - 1 = 15. Let x be (-62)\/(-114) + 7\/(-21). Let p = x + -6\/19. Are p and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18636 + -18526. Calculate the highest common divisor of 2706 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most 738406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 + -2*((-10)\/4 + 5). Let f be 23\/(0 + (2 - 1)). Let n = 36 - f. Solve -4*y - 2*w + 10 = 0, o*y - y + w - n = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 101 = -0*v + 3*v, 0 = 5*v - 2*g - 169. Let i = v - 28. Suppose 303 + 232 = i*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p - 1. Let y(l) = -3 + 4 + 2*l - 1. Let j be y(1). Suppose -20 = -5*z, i - 24 = -3*i - j*z. Calculate s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 + 11 = 0. What is the third smallest value in a, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(5\/4))\/p)\/p**19)\/(p**(2\/17)\/(p*p*p*p**22)) assuming p is positive.\nAnswer: p**(485\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((4*sqrt(60))\/sqrt(5))\/sqrt(4) - 6*sqrt(48)\/sqrt(4)))**2*3.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9790 divided by -11\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 5. Suppose q - 5*q + 20 = 0. Let j be u(q). Solve -5*l + 28 - 3 = j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3279\/4 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, 2\/19, 1400, -0.4, -4 in descending order.\nAnswer: 1400, 2\/19, -0.3, -0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from liiqqliiqlqlll.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 + 6*q - 8. Suppose 343*n = 672*n - 334*n - 55. Let k(l) = -l**3 + 11*l**2 - 11*l + 15. Calculate n*i(o) - 6*k(o).\nAnswer: -5*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 930 and 30?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + -3 + -1 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 857 = 4*y - 70, 5*d + 1528 = y. Let s = 352 + d. Calculate the remainder when s is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (379*c + 234*c - 133*c)*(4*c + 2*c - 4*c).\nAnswer: 960*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 10:04 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/9*c**2 + 0*c + 0 - 1\/9*c**3 - 2\/3*c**4 = 0. Calculate c.\nAnswer: -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -0.5, -2, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-3) - (-152 + -6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -94 - 1 - 29\/((-203)\/(-28)). Let x be 1\/(-2) - (-218)\/(-4). What is the common denominator of 31\/2 and (-10)\/x - (-634)\/m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + ((sqrt(68) - (sqrt(68) + -1)) + 2 - (0 + 1 + sqrt(68)) - (4*(sqrt(68)*-1 + sqrt(68)) + 1))**2.\nAnswer: -4*sqrt(17) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168826 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-64)*4\/21)\/(174\/14)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 0) + (-108689)\/70. Let x = k - -1552. Calculate the common denominator of x and 3\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047845 to 5 dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1479976 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -3.53?\nAnswer: -17.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -47, -111, -229, -419, -699?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -7) + 13 + -1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - 3 + 3 - 12*z + z + z + (-z - 2*z + 2*z)*(5 - 4 + 1).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25567, 25572, 25601, 25666, 25779, 25952?\nAnswer: 26197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/26, 4\/5, -0.2?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**5\/30 - 17*u**4\/12 + 47*u**3\/6 - 121*u**2. Find the first derivative of n(s) wrt s.\nAnswer: -4*s - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/3)\/((-2)\/(-24)). Suppose o = -5*x, 2*l - 2*x - x = 104. Suppose 29 + l = 3*m. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 46 = -3*i, -32 = -3*x - 5*i + i. Suppose 0 = 5*u - 7 - x. Let w = u - -17. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 0, -0.1, 131\/11, 21, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -16*t**3 - t**2 - 2*t + 10. Let o be k(2). What is the common denominator of (-6)\/105*-10 - 1335\/o and 47\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 18*g = -0*g - 99, -32 = -4*b - 4*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5964*j**2 + 77*j. Let b(l) = -157*l**2 + 2*l. Give -77*b(z) + 2*g(z).\nAnswer: 161*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 444 = -2*s, -s = y - 23 - 208. What is the highest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a7 + 1?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(8658\/3250) + 14.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -2*t. Let s(w) = -14*w - 14. Let d be s(-1). Solve d = 4*r - 3*a + 8, -19 = r + 3*a - t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*g + 86. What is the remainder when (-4)\/g + 1550\/35 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4730*a + 1380 = 4684*a for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/980)\/((-150)\/875)*(-8)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2240.046 + -2240. What is the closest to 1\/2 in u, 0, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 38*v**2 - 108*v - 2609. Let h be b(-37). Factor -h*t - 9\/4*t**2 + 60 + 3\/4*t**3.\nAnswer: 3*(t - 4)**2*(t + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.5, -1\/2, -0.1, 107.63, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 202. Let b = -65 + n. Suppose -5*z = -0*z - b. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 93197776.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 50. Suppose w = z + 1. Let j = -16 - -36. Solve -j = -v - 5*f + f, -4*f = -z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 49*y + 75. Is 40 a factor of g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002236048 rounded to 7 dps?\nAnswer: -0.0000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27135.5 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -763 - -397. Suppose -6*r = -17*r + 33. Is b\/((-1)\/(r\/6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154*g**3 + 1134*g**2 wrt g.\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 - 1714*f**2 + 1712*f**2 + 0 + 3.\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/24*(-3)\/15. Let b be 1 + 15\/(-35) + 8\/(-14). Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.522 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4 and -99\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, s: 3, v: 4}. Give prob of sequence vsfs.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 23 = -k + 22, -4*k + 166 = 5*d. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 195, 306, 413, 516, 615, 710?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 188, 4\/5?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1388, -1175, -916, -605, -236, 197, 700, 1279?\n\"Answer: f**3 + 17*f**2 + 155*f - 1561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = i - 26, 2*c + 3*i - 18 = -0*c. Let v be (-36)\/(-75)*(c + (-1)\/1). What is the smallest value in 1, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -10. Find the second derivative of 3*d**3 + 28 - 28 - f*d wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 448990160 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*b - 4*b + 22, -n + 5 = 0. Calculate the smallest common multiple of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7888244.\nAnswer: 2, 7, 13, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 287\/17 (b) 1\/2 (c) -201 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 - 6 = -5*k. What is the least common multiple of 10 and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 5. Let z be i(-2). Suppose -3*m + q + 466 = 0, z*m + 0*q - 456 = 3*q. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - s**2 + 6*s**2)*(-112*s**2 - 110 + 110)*(-4*s + 2*s + s).\nAnswer: 224*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1368538*d**2. Let g(r) = -r**2. Determine x(g(y)).\nAnswer: 1368538*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmhhyhgmhmrh. What is prob of picking 1 r and 1 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*s**5 + 2*k*s**3 + 9*k*s - 2*s**5 - 3*s + 2 wrt s.\nAnswer: 40*k*s**3 + 12*k*s - 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1162686, -2325368, -3488050?\nAnswer: -4650732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 431510 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(-1*sqrt(10))*-2)\/(1*sqrt(2)*-4*-3).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8605 + 1675. Suppose 5*v = r + j, -4*r - 3*v = -8*v + 10295. Let h = r + 3716. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3510, -3504, -3496, -3486, -3474, -3460, -3444?\n\"Answer: f**2 + 3*f - 3514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + d - 9. Let k be v(-7). Suppose -a = 3*a - 20, 4*h + 5*a = k. What is the closest to h in -1, 3, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + j**2 + 3*j**2 + 5*j**2 - 3*j**2 + 0*j**2 + (-2*j - 5 + 5)*(j - j - 2*j) + j**2 + 3*j - 3*j - 19*j**2 + 40*j - 54*j + 21*j**2.\nAnswer: 10*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-372)\/(-42) - 9)*(133 + -130)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d - 62 = -2*q, 0 = -q - 5*d + 51. Suppose q = -64*b - 38. Sort 1, 45, b in descending order.\nAnswer: 45, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/(-7))\/9)\/(((-3)\/(-6))\/((-6)\/(-212))).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 42*m + 30 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13707*1\nAnswer: -13707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8851 divided by 53.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, -5, 0, -185\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/(-4)*(-2202266)\/33. Suppose -25*x + 28*x = -w. Let s = x + 135309. Round s to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 23 = 5*t. Suppose 0 = -5*n - 3*c + 22, -t*c + 0*c = 2*n - 24. Let v(s) = 3*s. Give v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.59 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-26) - 345\/(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000081007 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401967978.\nAnswer: 2, 3, 66994663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -566, -1121, -1690, -2279, -2894, -3541?\n\"Answer: -z**3 - z**2 - 545*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 5. Let b be (-8)\/4*75\/(-30). Let w(l) = l + l + 7 + 1 - 2. Let m(a) = b*h(a) - 4*w(a). What is m(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7 = -4*g - 4*p, 2*p = -3*g - 5. Sort 5, 1, g.\nAnswer: g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2522\/12625?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 13. Let n be l(4). Solve 3*v + n = 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2785*p**3\/7 + 108617*p**2\/7 + 300858*p\/7 + 216\/7 = 0.\nAnswer: -36, -3, -2\/2785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 12*y - 36. Let b be n(-14). Is b + 4 - (-18565)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 189?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 22 + (22 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 1, r: 7, l: 5}. Give prob of sequence sv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 545705752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2*j + 12 - 34 + 4 + 14.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drtrtvrdrrtrtr. What is prob of sequence drtd?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4186\/83529 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q - 7. Let h(b) = -15*b + 7. Let o(v) = 2*h(v) + 3*s(v). Give o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -365\/1232 - -18\/77. Suppose 0*y - 1 = -y. Is y greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134\/5 - 137\/5. Find the common denominator of 85\/(-60 + 0 + -4) and m.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -7)\/(1\/11) + -6 + 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 165*g - 162*g. Suppose 11*m - 27*m + 48 = g. Let l(z) = -7*z**2 - 2*z + 2. Let w(b) = -7*b**2 - 3*b + 3. Give m*l(q) - 2*w(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 592 - 589. Suppose 14 = 4*d + i*j - 10, -d = -j + 1. Solve d*t - 1 = 2*q - 3, 5*q - 5 = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-75)\/45)\/(1\/3). Let t = l + 5. Let y(v) = -v. Let n(d) = 2*d - 2. Let g(f) = n(f) + 3*y(f). Determine g(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(36\/(-16) + 2). Suppose 4*d = -m*n + 56, -4*d = -4*n - 22 - 10. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 0.03.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*z = -60, z - 3*z = 0. Let k be (-110)\/(-3)*v\/(-10). What is the greatest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000063373115 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 2435*z + 9660.\nAnswer: 5*(z - 483)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -319374, -319373, -319370, -319365?\n\"Answer: m**2 - 2*m - 319373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*n**3 - 24*n**3 - 32*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, -4, 528 in increasing order.\nAnswer: -4, 161, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 23*l + l**2 + l**3 - 2*l**2 + 28*l + 1 in the form o*l**3 + t*l**2 + h*l + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -2, 0.2, -0.114 in descending order.\nAnswer: 0.2, -0.114, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 31 = -u, -4*p + 6*u - u + 123 = 0. Let t = -13 - -17. What is the greatest common divisor of p and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d - 70. Let r(v) = v - 10. Calculate -j(s) + 6*r(s).\nAnswer: -2*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a*c**5 - 49*a*c**4 - 9*a*c**3 + 37*a*c**2 - 370*a*c + a wrt c.\nAnswer: 360*a*c**2 - 1176*a*c - 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 19. Let w be (2 + 1)\/3*-5. Let m be a(w). Solve -19 = 5*j - m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 10:23 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = 13. Calculate the highest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddnfkfdkkddddnd. Give prob of sequence nff.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001263719046 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 10 = -4*o - g, -3*g = 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.4, -2.34, 51?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (502\/(-4))\/((-5)\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103217 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*r - 14, -5*r + 4*y = -1 - 6. Suppose 0 = -2*w - 4, -r*c = -4*c + 2*w + 7. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16*o - 541. Calculate the smallest common multiple of c(37) and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u - 3. Let d = 29 + -8. Suppose w + 1 = 0, -2*y + 3*w + 4 - 1 = 0. Solve -2 = -u*a - c - d, 3*a - c + 11 = y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208 + -207. Let d = 2.7 + -2.6. Sort d, c, -5, -0.1 in descending order.\nAnswer: c, d, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 360 - 355. Solve 0 = -i - 3*v - 11, -8*i + 3*i = k*v + 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 - 10*h + 8 + 21 + (-3 - 3 + 5)*(0 + 2 - 1)*(806 - h - 399 - 406).\nAnswer: -9*h - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u + 3*u**2 - 34*u + 8*u + 44*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2547*m - 1102*m - 17046 = -516*m - 458799 for m.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 4\/3, -132336\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 455573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {o: 1, s: 2, t: 5, j: 1, u: 4, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 64448 = -2*p + 64510, 5*r = 2*p - 65 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16817 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*s - 2268 = -85*s. Calculate the highest common factor of 234 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15313 - -7.651\nAnswer: -15305.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-20 + 64) - -109?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 + 3*f - 7. Let t(p) = -p**3 + p - 3. Let x(n) = 5*t(n) - 2*y(n). Let k be x(-1). Let j(a) = -6*a. Calculate j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10043, -40656, -91645, -163010?\n\"Answer: -10188*f**2 - 49*f + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.7 + 14.6. Which is the nearest to -0.16? (a) t (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 64?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -646 by 323.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1672, 3405, 5138?\n\"Answer: 1733*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14832580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2\/49, -3, 0.055, 38.\nAnswer: -7, -3, 2\/49, 0.055, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/6 - 20269*p**3\/3 - 81070*p**2\/3 - 81068*p\/3.\nAnswer: -p*(p + 2)**2*(p + 40534)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 21. Let d be (-52)\/(-9) - f\/(-117). Suppose d*u - 16 = -2*u. Solve -u*s + 2 + 8 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 - 2*b - 1. Let k be q(-1). Suppose -6*p = -k*p + 2. Let c = -1 - -1. Is p at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 4*j - 19023 = -2*m - 19028, 0 = -5*m - 5*j - 40 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = 3*t, 0 = -5*s - t + 6. Let w be 14\/1 - (s - 1). Suppose -15*n - 507 = -2397. Calculate the greatest common divisor of n and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 + -364\/3. What is the closest to 1 in 0.08, q, -5, -2\/9?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74643 and 537?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcdzzczlwwwl. What is prob of sequence zlw?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Let f(z) be the third derivative of -13*z**5\/40 + 11*z**3\/6 + 4*z**2. Let r(s) be the first derivative of f(s). Give w(r(p)).\nAnswer: 1521*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (260\/(-140)*(-14)\/8)\/((-5)\/(-720)). Is 1\/13 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -0.18 (c) 3 (d) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-26))\/5)\/1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*b + 13 = b, 0 = 2*a - b - 47. What is the smallest common multiple of a and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4092 and 13904.\nAnswer: 1293072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -1\/2 (b) 0 (c) 1\/249 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**3*y**3 - 16*n**3*y + 10*n**3 + 3*n**2*y**3 - 42094*n*y**3 wrt n?\nAnswer: -42*y**3 - 96*y + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437111.6m to micrometers.\nAnswer: 437111600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/43)\/(k**(2\/25)*k*k)*(((k*k**(-14)*k*k)\/k*k)\/k)\/(k\/(k*k*(k**(-2\/57)\/k)\/k)*k) assuming k is positive.\nAnswer: k**(-984602\/61275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -94*r**2 + 865*r + 2626. Give n(-3).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -17. What is the tens digit of (1\/(b\/(-18)))\/(1\/70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17*1\/5 + 136\/(-340). Calculate the remainder when ((-174)\/(-9) - 7)\/(1\/b) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 56 = -25*h. Which is the second smallest value? (a) 12 (b) h (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 93*o**2\/5 + 5148*o\/5.\nAnswer: -o*(o - 132)*(o + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 + 145. Let y = -61 + w. Which is the nearest to y? (a) -4 (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - q**2 - 5*q + 6. Let v be x(5). Let r(l) = -l**2 + 53 - 20 + v - l. Is r(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17853, -72984, -165399, -295092, -462057, -666288, -907779, -1186524?\n\"Answer: p**3 - 18648*p**2 + 806*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b**3 - 5*b**2 + 20*b - 203. Let z(r) = 5*r**3 + 3*r**2 - 11*r + 102. Let l(o) = -3*s(o) - 5*z(o). Find the first derivative of l(i) wrt i.\nAnswer: 6*i**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 15 = -3*a. Calculate the common denominator of 17\/7 and 186\/(-660) - 2\/a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-182)\/(-13) - (3 - (-1 + 1)). Suppose q = -3*a + 13, n + 7 = 2*a + 3*q. Let w be -3 - a\/(6\/(-28)). What is the greatest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/41)\/u)\/u**(-17\/2)*u**5\/u*(u\/(u\/u**28))\/u)**32 assuming u is positive.\nAnswer: u**(51888\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3049514, -6099021, -9148526, -12198029?\nAnswer: -15247530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 - 163. Which is the nearest to -11.1? (a) -5 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -40. Let y = -0.2 - -0.4. Let m = 263\/153 + -33\/17. What is the smallest value in m, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:24 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((sqrt(54)\/sqrt(2))\/sqrt(9)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from jqosp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.9 - -3.53. Let n = t - 0.03. Let z = -122.6 + 123. What is the third smallest value in n, 2\/15, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -15*g**2 - 7*g + 9. Let v(q) = 24*q**2 + 13*q - 16. What is 4*v(p) + 7*z(p)?\nAnswer: -9*p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01924472 to 4 decimal places.\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - t. Suppose 2*l - 42 + 2 = t. Solve -n + l = -6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = 111 - 41 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.1743 to zero decimal places.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 45, -2\/61, 1?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.0897?\nAnswer: -3.9103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 6.92 (b) -1\/7 (c) -1\/3 (d) 2 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/7 - 1143984*c\/7 + 2287984\/7.\nAnswer: -4*(c - 2)*(c + 285998)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 564.83 + -560. Let d = 37.3 + -32. Let x = d - u. What is x rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2268 + 849 - 699)*(2*f + 0 + 0) to the form j + h*f and give h.\nAnswer: 4836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*h**3 - 6*h**3 + 136 - 134 + 4*h**3 + 8*h**3.\nAnswer: 102*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 70673, 71294, 71915, 72536, 73157, 73778?\n\"Answer: 621*p + 70052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.72 + 0.93. Let y = a - -0.35. Sort 4, 0, y in descending order.\nAnswer: 4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1900) + -1 + 1 - sqrt(1900)) + 0 + 5*(1*sqrt(1900))**2*6)*-1.\nAnswer: -56996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*t - 940*t + 174*t - 14*t - 251*t.\nAnswer: -1253*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3059563016.\nAnswer: 2, 382445377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-28)*(-620)\/992*(-14)\/10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 5 (b) 1 (c) 43\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 660 = v + o, -5*o = 0. Let d be 20\/10*-17*3\/(-6). Suppose -120 = -27*a + d*a. What is the highest common divisor of v and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55514.98 days to seconds.\nAnswer: 4796494272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22983977 is divided by 1532265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 + 67. Let w = -45 - v. Let n = w + 13.5. Which is the closest to -1? (a) n (b) -4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329475120.\nAnswer: 2, 3, 5, 13, 105601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33229*k - 109610*k + 4*k**3 - 55435*k + 33*k**3.\nAnswer: 37*k**3 - 131816*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 1811*n + 1813*n - 30, 0 = 2*y + 2*n - 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -2281131\nAnswer: 228113.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 1, e: 1}. What is prob of sequence ht?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 0. Let d(c) = 9*c + 47. Let s be d(-3). Suppose -21*m + 26*m - s = f. Put 2\/7, 2\/5, m in decreasing order.\nAnswer: m, 2\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 30418 = 112107. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 6815.\nAnswer: 27260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 12:15 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -11 + 59. Let n(m) = -8 + 14*m + v*m**3 - 47*m**3 - 14*m. Let d(s) be the second derivative of 3*s**2\/2 + s. Give -8*d(t) - 3*n(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210 + -450. Find the common denominator of 4\/(x\/177) - 0 and -59\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 862\/3 - 285. Calculate the common denominator of 65\/27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169 - -172.18. Let d = -1.9 + h. Round d to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88839 + 224128 + 40452 = 19*y. List the prime factors of y.\nAnswer: 11, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 225*q**2 + 0*q - 361*q**2 - 2*q.\nAnswer: -586*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*r - 452*r + 24 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -752 + -2?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**3 - 253. Let b(t) = -5*t. Calculate p(b(j)).\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkdkkddkkdkkkkkd. Give prob of sequence kkd.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 267820856 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274 and 42059.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0 + 6. Suppose 0 = a + 5*k + 25, -4*a - 5 = 2*k - k. Let o be (a - -2) + 22\/s. Solve -3*t = -o - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3522*f**2 - 1765*f**2 - 1758*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 11*v + w - 6 = 0, 4*v + w = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353152537 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: Differentiate -117347598*b*h + b + 12042630*h + 12 with respect to b.\nAnswer: -117347598*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*s + 3*s. Solve s*b = 3 + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d**6 + 1289167*d**3 - 59551486*d**2?\nAnswer: -1560*d**3 + 7735002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 15*m**2 - 535*m + 7285. Suppose 4 - 2 = v, 4*v - 5 = -d. Let n(l) = -8*l**2 + 267*l - 3642. Let y(f) = d*h(f) - 5*n(f). Solve y(s) = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*((-3059)\/(-1596))\/((-3)\/(-12))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 4 - 2*z**3 - 3 - 4 - z**2 as h + g*z**3 + a*z**2 + t*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + 2 - 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)\/((1 + -3)\/1076). Suppose 2*a + 3*x - s = x, 0 = -4*a + 2*x + 1052. Let y = -177 + a. Does 44 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 b when three letters picked without replacement from qqbqqqqbqbqqqq?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24186)\/(-261))\/((-2)\/(-12)). Let b = n + -320. What is the remainder when b is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4)*(4 - 2 + 1)*(a**2 + 3*a**2 - 2*a**2)*(-3*a**3 + 3*a**3 + 2*a**3).\nAnswer: -48*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23905 and 2.\nAnswer: -47810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgqbv. What is prob of picking 1 j and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14016, -57031, -128722, -229089, -358132, -515851?\nAnswer: -702246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/15 + 376*f\/3 - 26814\/5.\nAnswer: 2*(f - 41)*(f + 981)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/4 and (-1)\/4 + (-888)\/160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45032907 take away 1.7?\nAnswer: 45032905.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-100)\/40)\/((-75)\/(-9)))\/(-1 - 56\/(-40))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b**2 - 10*b - 30. Let d(t) = -9*t**2 - 14*t - 27. Calculate -2*d(l) + 3*m(l).\nAnswer: -15*l**2 - 2*l - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/5))\/h*h**(-4)*(h*h**(-1\/5)*h)\/h*h**(-2\/31) assuming h is positive.\nAnswer: h**(-537\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdooll. What is prob of picking 1 h and 2 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32219, -3, 4\/7 in decreasing order.\nAnswer: 4\/7, -3, -32219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4\/2 - 54*b**3 + 141*b**2\/2 + 567*b + 444 = 0. What is b?\nAnswer: -37, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.12 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 190, -3, -2, 4, -13, 2 in decreasing order.\nAnswer: 190, 4, 2, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 3*m**2 - 5*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 9064800?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9931364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33600)\/(-19200))\/(2\/(2*4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 598b72 + -a?\nAnswer: 598b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1151 + -5?\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48660 divided by 1?\nAnswer: 48660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + 5*sqrt(1900) + 5*sqrt(1900)*-3)**2.\nAnswer: -200*sqrt(19) + 190001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 112021*z - 982. Is y(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 246?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 3\/5 (c) 4\/7 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 5) in base 16?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 5*n - 26, -2*o = 5*n - 2. Suppose 0 = 4*y - 6 - n. Find the second derivative of w**2 + 0*w**2 - y*w + 0*w**2 wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -7. Solve -j + 8 = 3*t, 7*t + 3*j = 2*t + n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + 6 - (-4 - (-10 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134773718 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 966 + -4?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3432 and 88.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.4 (c) 4 (d) -1477 (e) 3 (f) 0.1 (g) -6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 24590.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23675 and -4.\nAnswer: -94700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43979\/9 - 4880. Calculate the common denominator of 19\/12 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1761, -3352, -4699, -5730, -6373, -6556, -6207?\nAnswer: -5254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 457276645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnlnn. What is prob of picking 1 l and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((1 + sqrt(304) + sqrt(304))*-6*-4 - ((0 + sqrt(304) - sqrt(304) - sqrt(304)) + 4 - (sqrt(304) + sqrt(304) + 0 + 3))))**2.\nAnswer: 7344*sqrt(19) + 791028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 181 (base 10) to base 8\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94701 is divided by 47350.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/36 and 83\/306.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 38*l - 21*l. Is 12 a factor of -1 + (-308 - l)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474.221804 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-18) + (-4)\/6. Suppose -2*w = 3*w + 5*x - 35, w = x - u. Suppose 5*n - 220 = -2*m, -3*m - w*n + 257 + 82 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2806153843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 5 + 25)*(29*p**4 - 69*p**2 + 69*p**2 - p)*(-p - 1 + 1).\nAnswer: -899*p**5 + 31*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024578 to four decimal places.\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -237*f**5 + 1416*f**4 - 3045*f**3 + 2766*f**2 - 876*f - 24 = 0. Calculate f.\nAnswer: -2\/79, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002 (base 6) to base 2.\nAnswer: -11011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1865 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(330) - -1*sqrt(330))*-1)\/(sqrt(10) - 2*sqrt(10)*6))\/(-1*sqrt(66)\/sqrt(6) + sqrt(99)\/(sqrt(9)*-2)).\nAnswer: -4*sqrt(3)\/33 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26\/7 - -157\/14. Let k = h + -9. Let s = 221.9 - 222. Put -3, k, s in decreasing order.\nAnswer: s, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 53015.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/p**(2\/41)*p))*(p**(-3)*p)\/p)**25 assuming p is positive.\nAnswer: p**(-1075\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**5\/60 - 3*a**4\/8 + 2*a**3 - 10*a. Let s(h) be the second derivative of d(h). What are the prime factors of s(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15789 and 570.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*b = 196*b - 638. What is the remainder when 122 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.113 + -1.887. What is the closest to -1\/2 in -0.06, 0.3, i?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2884 and 17\/84?\nAnswer: 8652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m - 612*m = 257*m - 9740 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 8 + 4. Let x(m) be the first derivative of 1\/4*m**4 + 0*m + 1\/3*m**3 + u + 0*m**2. Find the third derivative of x(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 1. Let h(n) = n**3 + 14*n**2 + 2*n + 25. Let o be h(-14). What is x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(35\/42*104\/(-65))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - w**2 + w**2 + (6*w**2 + 0*w**2 - 2*w**2)*(-2 + 1 + 2) + (-w - w + 4*w)*(-1 + 2*w + 1).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 212*c**2 + 1008*c - 214. Give p(-101).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 9*f**2 - 6*f - 12. Let g be r(10). Does 9 divide 749\/g + 2\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*g**2 - 45 + 55*g**2 - 156*g**2 + 600*g**3 + 47*g**2 wrt g?\nAnswer: 3600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**5\/20 + 3*j**4\/8 + 19*j**3\/12 - 3*j**2 + 760. Let b(s) = 0. Calculate s.\nAnswer: -3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8*i - 399 - 1473 = 0. Calculate the remainder when 878 is divided by i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0 + 2?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 + -71. Suppose u = -5*w + m, -34 = 5*u + w - 94. Let r(t) = t + 5. Does 8 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 1\/11 (c) 242 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19618, -39254, -58904, -78574, -98270, -117998, -137764?\nAnswer: -157574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 35*l - 37*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/4)\/7*39204\/(-9801)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 19 = 3*o, 2*h + 3*o + 7 = 6*o. What is the remainder when (1 - -5) + (-12 - -10) is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48173.728 + 7.\nAnswer: 48180.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 27*j + 8*j - 18 = -4*h, -9*h = -54 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1118956 = -78*o. What are the prime factors of o?\nAnswer: 2, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11.8. Which is the second smallest value? (a) 2 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 695492920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -2) + (-2 - -2 - (-80 - -100))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-23)\/(-69))\/((-12)\/(-18))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, d: 4, v: 5, x: 1}. What is prob of sequence vvxd?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24*25\/200*4\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18386367?\nAnswer: 3, 17, 349, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.2 and 256.07?\nAnswer: 1331.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -560330 - -21?\nAnswer: -560309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7 + 0 + 4. Let x(j) = j + 4. Let h(w) = 4*v(w) + 3*x(w). Let a(i) = -4*i + 10. Let k(z) = -z + 3. Let y(q) = -3*a(q) + 10*k(q). Give y(h(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 952265.\nAnswer: 380906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433336 is divided by 61874.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c483 + 6e?\nAnswer: -2c414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4580*r - 4652. What is t(-1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22466661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65234 and 386.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -47*s + 145. Let u be a(3). Let r be (4 - 0)\/((-1)\/(-3)). Let n = r + -8. Solve m = -0*m - 3*t - 19, u*m - 4*t - n = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b, -j - 3*j - b = 358. Let s be (25\/(-2))\/(1\/2). Let a = s - j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/((-107)\/(-1070)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/70 and -21\/974?\nAnswer: 34090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 7. Calculate q(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -534 - 5?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiicciiiiiii.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvpv when four letters picked without replacement from {v: 7, p: 5}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38637946 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1264\/(-40)*(3 + -153). Calculate the highest common divisor of r and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -194*o**2 - 155757*o + 20076. Give s(-803).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 q when three letters picked without replacement from qqgqqqqcqgfqvvvgvqq?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 58*p**2 + 57*p - 125. What is g(-59)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-70)*49\/14. Solve -l - i*t = -5, l = 10*t - 5*t - 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 1. Let q(k) = -k - 1. Let b(y) = 2*q(y) - 2*r(y). Let m(f) be the second derivative of 17*f**4\/4 + 8*f. Determine m(b(t)).\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3997*i**3 + 1997*i**3 + 1989*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 59.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 25. Suppose 52 = -4*a + 100. Suppose -4*s = a, g + 3*s - 1 = 2*s. Calculate the remainder when o is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147.00000123 + 147. What is q rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 3. Let d(o) = 4*o + 16. Give y(d(k)).\nAnswer: 32*k**2 + 256*k + 509","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + -1) - -131 - (-80 - (-255 - -176))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2, 7, 2666549 in ascending order.\nAnswer: -5, -2, 4, 7, 2666549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -7, -3, -18, -6 in decreasing order.\nAnswer: -3, -6, -7, -15, -18","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0, 2, 1, 485 in ascending order.\nAnswer: 0, 1, 2, 20, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -340?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 + s**2 - s + 2. Let g(i) = -68*i**3 + 54*i**2 - 160*i + 152. Let a(m) = -2*g(m) + 44*z(m). Factor a(r).\nAnswer: 4*(r - 9)*(r - 6)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**8\/336 + s**7\/105 + s**6\/120 - s**5\/30 + 30*s**2. Find m, given that u(m) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - a - 1. Let b be o(-3). Let i be ((-8)\/b)\/(22\/10). Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154535 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4.9538 * 5\nAnswer: 24.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - (-45 + -18 - 24)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 20*j - 392. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:14 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -64. Solve -t*p = -4*p - 3*l - 8, -5*l - 11 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 387 and 21213.\nAnswer: 912159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -872 divided by -4.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 9. Let p be m(-7). Solve p*h - 4 = -14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s - 537 = 5*x, 4*s - 5*s - 54 = -2*x - 9*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*t**4 + 4533*t**3 - 8442*t**2 - 37572*t - 840 = 0 for t.\nAnswer: -2, -2\/89, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*v - 1 + 1)*(34 - 34 - 8*v).\nAnswer: -32*v**2 - 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 8 = -r + 9, 535*r - 536*r + 24 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqampmiimmpaqpxaimpm. Give prob of sequence iq.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.11417, 0.01, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -13) + -17 + 40415. Let r = v - 13267. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4126\/18 + ((-32)\/(-18))\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222010112220 (base 3) to base 5\nAnswer: 231431123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52895 + 52894.9960733. What is d rounded to four decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5077\/33 + -461\/3. Which is the nearest to 0.4? (a) k (b) -6 (c) 1\/2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4807488, 9614975, 14422462, 19229949, 24037436, 28844923?\n\"Answer: 4807487*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h - 102. Give u(-21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110.5 - 111. Let b = -132 + 94.4. Let l = b + 38. What is the closest to 0.02 in 0.2, l, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 5 (c) -1 (d) -17\/6 (e) 1\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*l**4 + 3*l**3 + 140*l**2?\nAnswer: -384*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111011010001 (base 2) to base 11.\nAnswer: 9006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**3\/3 - 13*o**2 - 18*o + 10. Let x be g(-19). Factor 21*t + 29*t + 5*t**2 + 10 + x.\nAnswer: 5*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4587*l**3*q - 142*l**3 - l**2*q + 286*l**2 - l - 1190 wrt l?\nAnswer: 27522*q - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -252, -229, -190, -135, -64?\n\"Answer: 8*b**2 - b - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 11. Let g = l + -5. Suppose -u - 1 + 0 = f, u - 5 = g. Let o(i) = i**3 + 6*i**2 - i - 4. Determine o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3*z + 2. Let a(w) = 55*w**2 - 14*w - 8. Give -a(i) - 5*d(i).\nAnswer: -60*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000110110 (base 2) in base 15?\nAnswer: -1128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.43, -2, 5, -29 in descending order.\nAnswer: 5, 0.43, -0.2, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 184 in decreasing order.\nAnswer: 184, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -525 divided by -27\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69545*m - 126 = -69527*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 136.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 3*l**4 - 3*l**4 + (-l + 5 - 5)*(0*l**3 + 4*l**3 + 2*l**3) - 4*l**4 - 102*l + 102*l.\nAnswer: -13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20451 and 23307.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/120 + i**5\/15 + i**4\/6 + i**3 + i**2. Let x be d(5). Is ((-2)\/4)\/(x\/(-38)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*m**2*o**2 + m**2*o - 160*m**2*y + 10812*m*o**2 + m*o + 6*o**2*y + 43*o*y - 2*o wrt y.\nAnswer: -160*m**2 + 6*o**2 + 43*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 647*s. Let c(w) = w. Calculate c(z(u)).\nAnswer: 647*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 670 + -1180. Let g be (3\/2)\/((-15)\/u). Which is smaller: g or 53?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 0. Let o be (-15)\/(-35) + (-809)\/(-7). Let i = 227\/2 - o. Is i >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167408.382 + 167694. Let g = t + -286. Let a = g - -0.37. What is a rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.484 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*w = -16, -283 + 256 = 3*r + 3*w for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/132 and 95\/42.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26038\/11 - 2365. Let a be 8049\/(-12)*15\/(-6). Let u = a - 1674. Find the common denominator of u and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**2\/2 + 5*p + 2. Suppose c = -2*g + 13, 2*g - 19 = -3*c + 4. What is the tens digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 2, v: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 646 + 26. Let m = b + -98. Is m smaller than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268362487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6210709 >= 6210709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*u + m - 6*m, -15 = 3*m. Suppose -j + 4*j = -2*s - u, -4*j - 4 = 4*s. Suppose 30 = s*l + 2*l. Solve -10 - l = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 666, -1, 22, 3, -1\/5 in increasing order.\nAnswer: -1, -1\/5, 0, 3, 22, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**2 + 1. Suppose -4*a = -1 - 11. Let x(l) = l**2 + 8*l + 17. Let v be x(-6). Suppose 4*j = a*y + 10, -5*j = -0*j - v*y - 15. What is h(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 + -170. Which is greater: 81 or s?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -0.0841.\nAnswer: -1.3456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 93 - 48 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 25 = -3*g. Let o(p) = -8*p**2 - 6*p - 1. Let q(s) = -9*s**2 - 7*s - 1. Give g*q(f) - 7*o(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1268 + 1268 - 733*q.\nAnswer: -733*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -557, 0.5, -6 in decreasing order.\nAnswer: 0.5, -6, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) - (1 + sqrt(75))*-1)) + -1*sqrt(192) + sqrt(12)\/(sqrt(64) + sqrt(4) - sqrt(4)).\nAnswer: -51*sqrt(3)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**5\/5 - 6*t**4\/5 - 3*t**3\/5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*b, 26*b = i + 31*b + 9. What is the nearest to i in 0.4, -1\/5, 40?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66706430?\nAnswer: 2, 5, 7, 331, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/5 - a**4\/4 - a**2\/2 + 2*a - 20. What is the units digit of r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3416, 3425, 3426, 3413, 3380, 3321?\n\"Answer: -z**3 + 2*z**2 + 10*z + 3405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/17, -1\/3, 20.68, 0.6, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/68*994\/3479.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/7 (b) 257 (c) -26.28 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**2*o**2 + 3*d**2*o + 206*o**2 wrt d?\nAnswer: -6*d*o**2 + 6*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*a - 299013 = 9*a + 34*a. What are the prime factors of a?\nAnswer: 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 14. Let m be i(-16). Find the first derivative of m + 25 - 61*c + 7 wrt c.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - (58 - 63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 396729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((-154)\/7007).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000182 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/3 - 134*r**2 = 0. What is r?\nAnswer: 0, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (11 - 12) + 0 + 2. Let j(v) = 6*v**2 - 6*v + 4. Let l be j(4). Calculate the greatest common divisor of d and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 8*w + 3*w. Let o be (-12)\/(-3) + 2 - w\/(-1). Solve 5*k - o = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2400 + -1464. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 8. Suppose -5*z - 3*u + 80 = 0, 0*z - 51 = -2*z - 5*u. Let f be r\/10*(-5)\/z. Which is the second biggest value? (a) -1\/5 (b) -3\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-882)\/378)\/(3 + 2019\/(-666))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8020201181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/3 - 16*k**3 - 1471*k**2\/3 + 506*k = 0. Calculate k.\nAnswer: -22, 0, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8 - 2 + 2 + 1 - 8*q**2 + q. Let m(a) = a**2 - 1. Let w(h) = -18*m(h) - 2*p(h). Find the second derivative of w(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 11*v**4\/24 - v**3\/3 - 34*v**2 + 51*v - 1. Let a(r) be the first derivative of t(r). Calculate a(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/12*20\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142984 + 84*b + 142984 + 426*b)*(-3*b**4 - b**4 + 5*b**4).\nAnswer: 510*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*b - 812*b + 321*b - 2.\nAnswer: -1176*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -680*t**3 - 3547*t**2 wrt t?\nAnswer: -4080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422780 and 1780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 690499252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 + 158*a**4 - 168*a**3 - 632*a**2 + 640*a = 0 for a.\nAnswer: -80, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.7956096 to two dps.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5339?\nAnswer: 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2. Let g(m) = 3*m - 28493. Calculate g(k(t)).\nAnswer: 12*t**2 - 28493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16884 - -20973. Calculate the highest common factor of f and 846.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -167316, -334653, -501990, -669327, -836664, -1004001?\n\"Answer: -167337*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30, -47, -56, -57, -50?\n\"Answer: 4*h**2 - 29*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 2 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - 8. Let x(z) be the second derivative of -7\/6*z**3 + 1\/12*z**4 + z + 0 + 5\/2*z**v. Give x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1032 (b) -20\/43 (c) 4 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 10:31 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-1088) + 252\/(-704).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 k, and 1 t when three letters picked without replacement from otrrrortirtku.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 130?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112289331.\nAnswer: 3, 7, 11, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -221, -539, -1183, -2147, -3425, -5011, -6899?\n\"Answer: w**3 - 169*w**2 + 182*w - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o - 2*o**2 + 7*o**2 + 8 - 6*o**2. Let i be l(12). Let y be 3 - (-59 - i - -2). What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 71959\nAnswer: -359795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**(-1\/18)*w*w**(-18) assuming w is positive.\nAnswer: w**(-271\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 2\/9, 23945, 38 in decreasing order.\nAnswer: 23945, 38, 6\/11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12667.341*-12.\nAnswer: -152008.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2, -4, 3.4, -18, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 224?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/3))**45 assuming u is positive.\nAnswer: u**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 17*m - 22*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -278, 1652, 3582, 5512?\n\"Answer: 1930*w - 2208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3707, 7412, 11117, 14822, 18527?\n\"Answer: 3705*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -4291?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4567 = g + 4637. Which is bigger: g or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 - 387 = -18*g. Suppose 61*c - g*c - 640 = 0. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, -0.4, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 5:15 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 2*c**2 + c + 1. Let u be d(3). Does 5 divide 0 + (-2)\/(-1) + u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p = -70*p + 296. Let k be 0 + (-14)\/p + 61 + -60. Which is the closest to 4? (a) -3 (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + 12114707?\nAnswer: 12114771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/78 and 151\/47532.\nAnswer: 617916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*a + 4 - 3*a**2 + 18*a + a**2)*(-29*a - 39 + 14*a + 14*a) to b + f*a + n*a**3 + d*a**2 and give f.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r**2 - 10*r - 80. Let d(n) = 4*n**2 - 2*n - 16. Let l(t) = 2*a(t) - 11*d(t). Let h be l(5). Is -17*2\/(h\/(-19) - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -5, 5, 2, 5437 in descending order.\nAnswer: 5437, 5, 2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from bbkbkbbbbbkkbbbk.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 25*h - 12 = 0. Let k = 30 + -23. Is (42\/h)\/k*(563 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2539*a + 2539*a - 12*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -41, -25, -3, 25, 59, 99?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30352?\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13799221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -7\/6*k**3 + 0 - 2*k + 0*k**2. Let j(w) = w**2. What is o(j(p))?\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1932*d + 3121. Let s(m) = 483*m + 784. Let o(u) = 11*s(u) - 3*t(u). What is the first derivative of o(b) wrt b?\nAnswer: -483","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20636 - 20589. Which is the nearest to -6? (a) -4\/7 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26066 is divided by 427.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-137)\/(-27))\/(75 + -72 - 33\/9)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 3. Let h be g(3). Let z be ((-20)\/h)\/((-10)\/15). Suppose 0*f + z*f - 50 = 0. Calculate the remainder when 39 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011 is divided by 153?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-1)\/(-2) - -19 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*4 - 1746\/9. What is v rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -9. Suppose -l*o - 3*o = 0. Solve -3*u = -5*b + 2*u + 25, 5*b + u - 7 = o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -19 + 2 + 2 + 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -456, -458, -460, -462, -464, -466?\n\"Answer: -2*c - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54623544 (base 7) to base 8.\nAnswer: -21722335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.56 - 4.428. Round k to 3 decimal places.\nAnswer: 0.132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 67 = 47 - 24. What is the remainder when 129 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/7 + 15*w**2\/7 + 24*w\/7 + 12\/7.\nAnswer: 3*(w + 1)*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.8 + -4. Let t = 1.2 + a. Let u = 3 - t. What is the closest to -1\/4 in u, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -4*u**3\/15 + 234*u**2\/5 - 464*u\/5 + 757. Factor l(i).\nAnswer: -4*(i - 116)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 8. Let k(d) be the first derivative of -7*d**2\/2 + 15*d - 1443. What is 6*k(m) + 11*w(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2 + 3\/2*x**2 + 0*x. Suppose 5*r - 10 = -0. What is l(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001022101211 (base 3) to base 12.\nAnswer: 6616aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*r + 11 - 16, -4*r = 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t. Let h(v) = 2*v - 531. What is u(h(j))?\nAnswer: -22*j + 5841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-65)\/20 + 70\/(-8). What is the remainder when (-700)\/5*a\/20 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1529433 minutes?\nAnswer: 9176598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-30)*(-3915)\/17748?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396291181 and 3.\nAnswer: 1188873543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121251.\nAnswer: 3, 13, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/679 and 46\/7.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 19*j**2 - 18*j**2 - 12 + 11*j + j. Let h be s(-14). Let f be (h\/(-6))\/((-7)\/21). Solve -f*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 * 0.4\nAnswer: 38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -493, 0, 2, -0.05, 5, -0.3, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33a + 1086?\nAnswer: 13c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 167 = z - 5*z, -53 = -2*r - 3*z. Let k = -1 + r. Solve 2*m + q - k = -3*q, -2*m - q + 15 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*c = -118*c + 143*c + 6396 for c.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -10*b - 15. Put -5, -1, b, -2 in descending order.\nAnswer: b, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6221*t**2 + 13502*t**2 - 5705*t**2.\nAnswer: 1576*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-10 - -5) + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 8007?\nAnswer: 112098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1536 + -3?\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*g - 143*g + 27*g**2.\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 4:37 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -75*p**3 - p**2 - p. Let j be l(-1). Suppose -j = -3*z - u, -5*z + 175 = 5*u + 50. Let s be (z + 0)\/(4\/(-400)). Round s to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4577840.\nAnswer: 2, 5, 57223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -59. Let l = 33 - i. Which is the second biggest value? (a) l (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -4. Solve 3*g + 10 = j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 66 = -8*w. Solve 2*a = w*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 5*i + 1. Let j be 702\/(-8) + (-18)\/(-24). Let h = -51 - j. Calculate the remainder when h is divided by s(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 4*z + d + 571 - 561, -d = 14*z - 11*z + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 6*l - 3. Let p be o(-5). Let r(s) = 0 + 0 + 49*s + 8*s**p - 55*s. Let x(f) = -f**2 + f. Give r(m) + 10*x(m).\nAnswer: -2*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30951 and 18711.\nAnswer: 64347129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2614 - -2613.98289. What is j rounded to 4 decimal places?\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/19 in -3, 2\/11, -2, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 14*j**2 - 14*j + 22. Let t be s(-15). Suppose -6*m + m + 35 = 0. Calculate the greatest common factor of m and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 16647 = 2*z + 16649, -t = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from vvvkwkvkmmvkkkmkv?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 243464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 637605 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 c(x) = -x**2 - 851*x - 135855. Calculate c(-213).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32790 - -169680. Round b to the nearest 1000.\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyiyzqyqy. Give prob of sequence zqy.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54985 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 7*w**2 - 5*w - 9. What is the remainder when b(4) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.723 - -3.6. Let j = -0.633 - w. Let g = -0.01 - j. Which is the third smallest value? (a) -1 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1368269\/40 or -34207?\nAnswer: -1368269\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 0*y**4 + 0*y**5 - 1\/30*y**6 - 2\/3*y**3 - 2*y**2 + 0*y. Differentiate w(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -45*c**2 + 1. Let f be m(1). Let q = -23 - f. Solve t - 6*t - i - q = 0, 0 = -t - i - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 1. Let r be i(5). Suppose -4*q = q - 30. Let f = q + r. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 21*p**3\/5 - 4098*p**2\/5 - 77343*p\/5 + 97308 = 0.\nAnswer: -153\/7, 5, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 1. Let v(o) = -29*o**2 - 5*o - 5. Let b(t) = 5*l(t) + v(t). Differentiate b(y) with respect to y.\nAnswer: -58*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-273)\/234*1*5\/(-5)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90441 or 90440?\nAnswer: 90440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 500 - 499. Let j be 7\/(-5) + 6\/(-10). Let w be (-2)\/2*(4 + j). What is the smallest value in w, -6\/7, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w)**(-39)*(w*w*w\/(w*w*w**(1\/2)\/w)*w)**(-1\/14)*(w\/w**(-2))**(-2\/5)\/(w\/w**(-5)*w**4\/w) assuming w is positive.\nAnswer: w**(4007\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times 3866?\nAnswer: 162372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 39 = 3*v, 5*c - 4*c - 93 + 53 = 4*v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11424206 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/42 and -73\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 230278159021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3)*(-15)\/10. Let k(t) = 4*t**2 - 2*t + 1. Let p be k(s). Is (4\/6)\/(1\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(700) - 6*sqrt(28)) + -5)*5*3)**2.\nAnswer: 4200*sqrt(7) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32)\/(-6)*(-3 + 12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/((-24)\/4))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 19*t + 2 + 0 to the form z + f*t and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641775.\nAnswer: 3, 5, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 57. What is the units digit of b + 10\/(-15) + (-742)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 9:14 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 229770.2 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -51240.201 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/537 and 131\/102?\nAnswer: 18258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -52, -98, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111138 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -3*b**5\/5 - b**2 - 12*b + 38. Find the second derivative of l(k) wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + h - 1)*(2 + 3 - 3) + h + 12*h + 19*h + (2*h + 3*h + 5*h)*(3 + 13 - 5).\nAnswer: 144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -6309.16.\nAnswer: 12618.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-59865)\/21 - (-4)\/(-14). Let z = f - -5099. Suppose 5*l = 1587 + z. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -1\/30*z**5 - z**2 + 0*z + 1\/2*z**3 + 0 + 0*z**4. What is the first derivative of r(f) wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17*k - 11. Let n be l(3). Let z = n - 38. Suppose 0 = m - 17 + 7. Solve -z = 2*j - m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r**3 - 73*r**2 + 3*r - 10. What is n(8)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f + -23b8?\nAnswer: -2369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -4157*w**5\/60 - 3571*w**4\/24 + 4526*w**2. What is the second derivative of a(o) wrt o?\nAnswer: -8314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3 = -q, -4*q + 6282 = -3*z + 6267 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -30*l - 4. Let c be q(-3). Suppose 3*p + 3*n - 78 = 0, -n + c = 3*p + 4*n. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 51, -4.\nAnswer: -4, -2, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1351, 2915, 4721, 6769, 9059?\nAnswer: 11591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94249*b**3 - 196480*b**2 + 16133*b - 338 = 0 for b.\nAnswer: 13\/307, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -22*k - 4. Let y(t) = -7*t - 1. Let h(v) = 6*i(v) - 17*y(v). Let o be h(-6). Suppose -125 - o = -4*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-one thirds of a decade?\nAnswer: 2840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7510 + -48?\nAnswer: 7451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((2 - 7) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*sqrt(110)*-6 + sqrt(110)))\/(sqrt(160) - 5*sqrt(160)*-5).\nAnswer: 87*sqrt(11)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43 + 42?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(1\/2))\/(-718 - 6401924\/(-8917))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 8 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117.0788 + -117. Let c = q - 0.0275. What is c rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -25644 + 3*v**2 + 25644. Let j(m) = -2*m - 17. Determine f(j(g)).\nAnswer: 12*g**2 + 204*g + 867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*l = 506 + 34 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 = -2*x. Let o = -35\/2 - x. Sort -1, o, -2 in descending order.\nAnswer: -1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3951*u + 1427*u + 1258*u + 1265*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225769, -225759, -225723, -225649, -225525, -225339, -225079, -224733?\nAnswer: -224289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 1302*a**2 + 139893*a + 141198.\nAnswer: 3*(a - 233)*(a - 202)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 16) + -10 + 0 - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*l - p - 31, 0 = 5*p + 15. Solve 4*j + 2 = l*g + 23, g + 17 = 4*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + 0 + 0 - 2*x**2. Let c(a) be the second derivative of 0 - 7*a + 0*a**2 - 1\/2*a**3. Calculate b(c(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00469562378 to 6 dps.\nAnswer: 0.004696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 8*g**2 - 3*g**3 - 8*g**3.\nAnswer: -10*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (3 - -2)\/1. Let h be ((-2)\/t)\/((-8)\/(-24)). Solve -4*l + 12 = b - 3*b, 6 = 4*b - h*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0 - 1\/24*b**6 - 7\/8*b**4 + 3*b**2 + 0*b**5 + 0*b + 0*b**3. Find the second derivative of m(i) wrt i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -12 + 7 + -10 + 7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -76, -108, -140, -172?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 1:38 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-16)\/12*(-15)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3423 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s)**19 assuming s is positive.\nAnswer: s**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 1 = -7*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjyxspxpw. What is prob of sequence yp?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Divide 35410386 by 33.\nAnswer: 1073042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + (-1781)\/117 + 1)*-18.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0*z**3 + 29\/12*z**4 - 3\/20*z**5 + 12*z + 0 + 0*z**2. What is the third derivative of x(j) wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -284 + 284. Solve 0 = -5*l - 2*v, 2*l - 4*v = -o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-28 + -13 + 26)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3102*b - 353633. What is l(114)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44266 divided by 1221?\nAnswer: -44266\/1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjlj when four letters picked without replacement from njljomc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((168\/9)\/4)\/(2\/(-69)). Let v = t + 166. Solve 3*u + v*b = -0*u + 19, -4*b + 8 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1288 and 98?\nAnswer: 9016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 2, l: 1, e: 6, x: 2, q: 4}. What is prob of sequence qax?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-130)\/(-910))\/(3\/6). Let 2\/7*f**3 + 2\/7*f**2 - 2\/7 - x*f = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*z + 34*z + 520. Find the common denominator of (-1)\/(-3) - (-1415)\/30 and (16\/(-20))\/((z\/(-75))\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = -2*i + 256. Suppose 0 = -5*c + i - 19. What is c rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 13*v - 6*v)*(-5*v + 0*v + 3*v).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - 2*v + v**5 - 7*v + (0*v**4 + v**4 - 4*v**4)*(3*v - 5*v - 2*v) + (2*v + v - 4*v)*(v**4 - 4*v**4 + v**4) - 3*v + v**5 + 3*v.\nAnswer: 16*v**5 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1433*u**3 + 925*u + 2?\nAnswer: 8598*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -19. Suppose -5*i - 22 + 2 = 0. What is the second smallest value in n, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50901?\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kckcckkkkckc. What is prob of picking 4 k?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79863759?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 31, -0.1?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - (0 + 2)) + 2)\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285 (base 9) to base 6.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-8))\/(-5) + 720\/(-64)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -211623422?\nAnswer: 211623440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 64643?\nAnswer: -7757.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 + 3*f + 6. Let a be h(6). Suppose -6*q + a = -2*q. Let z = 68 - q. Calculate the highest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1386762532 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/30)\/(((-15)\/((-1125)\/30))\/(-1)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*g + 3 = 3*s + 691*g, -438 = -4*s - 75*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8841 + -4?\nAnswer: 8837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j + 0*j)*((-1 - 1 + 1)*(0 - 3 + 1) + 2 + 4 - 5)*(2*j - 1 + 1).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxs when three letters picked without replacement from {s: 11, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*p - 3*u - 1811, 0 = -4*u + 4. Let r = 606 - p. Let n(g) = -g**2 + 32*g - 148. Let m be n(7). What is the greatest common divisor of r and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -2*v**5\/45 - 15*v**4\/4 - 11*v**3 - 244*v**2 + 3. Factor a(l).\nAnswer: -2*(l + 33)*(4*l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n - 6*n + 11 - 4*n + 6*n. Is f(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncc when three letters picked without replacement from ycynncnyn.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.137, -36, -2\/17, -1 in ascending order.\nAnswer: -36, -1, -3\/4, -0.137, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**5\/4 - 145*p**4\/6 + 1600*p**3\/3 + 15360*p**2 + 477*p. Factor h(f).\nAnswer: 5*(f - 32)**2*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -17889*f - 1592133. Calculate n(-89).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2 + (0 - 4 + 5)*(1 + 0 - 5) - 181 - 379 + 261)*(3*n + 3 - 3) in the form m + a*n and give a.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6630011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79418*s - 79385*s = -99 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 43 - (2 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t + 28. Let v(y) = -y - 3. Let b(f) = -6*m(f) - 56*v(f). Let x(z) = -2*z**2. Give x(b(p)).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**3 + 4*o**2 - 7*o - 4. Let q(j) = -27*j**3 + 15*j**2 - 27*j - 15. Let z = -1685 - -3045. Suppose -z*r = -1372*r - 180. What is r*b(f) + 4*q(f)?\nAnswer: -3*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 2077*i**2 + 4629*i**2 - 2158*i**2 - 2.\nAnswer: 394*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 3:57 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 697 - 1178540*j + 1178542*j - 697.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 81*w - 5. Let p(g) be the third derivative of -61*g**4\/12 + 7*g**3\/6 + 4*g**2 - 4*g - 22. Determine 5*p(o) + 7*z(o).\nAnswer: -43*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((19\/(1615\/238))\/((-17)\/170))\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 19*z**2 - 22*z - 36. Let l be a(-20). Let m(y) = 6*y**2 - 28*y + 104. List the prime factors of m(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2028 - 2069. Which is smaller: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 40 = -6*n, -5*n - 200 + 395 = -2*l + 156 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -20*r**2 + 75*r - 157. What is k(2)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21963209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 4) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20932199 to the nearest integer?\nAnswer: 4575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -811 + 811.5. Sort 5\/4, j, -0.03 in decreasing order.\nAnswer: 5\/4, j, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w + 16*w**2 - 22*w - w**3 + 12*w to the form k + l*w**2 + i*w + f*w**3 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*o + 141*o - 234*o = 651 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 + 102\/9. Let w = n + -8. Suppose -d + 50 + 43 = -2*x, w*d + 2*x - 247 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -154, 2\/11, 0.4, 0 in descending order.\nAnswer: 0.4, 1\/5, 2\/11, 0, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - -20) + -11 - 16) + 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuu. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -72. Let y(x) be the third derivative of -1\/12*x**5 - 3*x**2 - 1\/6*x**3 - 1\/24*x**4 + 0*x + 0 - 1\/120*x**6. Calculate y(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 36579?\nAnswer: -36577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**3 - 3*f**2 + 5*f - 2. Let o(b) = 9*b**3 + 2*b**2 - 4*b + 2. Determine 3*o(h) + 2*z(h).\nAnswer: 11*h**3 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbbvwsbwwbsbbbwwvv. What is prob of picking 2 b?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1436*m + 550*m - 11764 = 1526 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 428147, 428401, 428827, 429425?\n\"Answer: 86*s**2 - 4*s + 428065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 67 (b) -2 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/11 + 1*4. Suppose 3*f - 3 + 9 = 0, -64 = -2*v - z*f. Let k(t) = t**3 + 5*t**2 - 9*t - 9. Calculate the remainder when v is divided by k(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*b**5 + 19*b**5 + 20*b**5 + (-b + b - 2*b**2)*(-b**2 - 2*b**3 + b**2).\nAnswer: 27*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 243\/22 in -0.3, -0.009, 5, 2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(420\/(-8))\/21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -47)\/(-5 - -4). Let t = m + -46. Solve t = -v - d, d - 15 = -5*v + 6*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298001, -298006, -298013, -298022?\nAnswer: -298033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 429013157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccpmcciccpcppicc. Give prob of picking 2 i and 1 m.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:14 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwpu when four letters picked without replacement from rzwwlzplpruwlpw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -672 + 671.89. Suppose 0 = v - 0*v. What is the smallest value in b, v, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:18 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109659733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16635110 and 1590.\nAnswer: 49905330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1392891 rounded to 4 dps?\nAnswer: -0.1393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6*f = -112. Let b be (f\/80)\/((-2)\/10). What is the second smallest value in 0.1, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) -5 (c) -0.4 (d) 1 (e) -0.077 (f) 71\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*s + 86*n**3 + 23*n**2*s + 97*n**2 - 14*n*s - 162*n - 60*s - 13 wrt n.\nAnswer: -6*n*s + 516*n + 46*s + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 353 - -16?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from oqaaqzzaazqawsozooaa.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 97*f - 8. Let q be u(-6). Let r be (-1)\/3 - q\/15. Suppose 0 = -2*c + 7 + r. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 6*n + 2. Let m = -49 + -77. Let h be (-21)\/(-35) - (-5)\/((-75)\/m). Let o be h*(3 + 28\/(-6) + 1). What is v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a2793 + 1b?\nAnswer: 7a27b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26407876 divided by -61.\nAnswer: -432916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 286037243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*h = b + 10, 3*h = 3*b - 9. Suppose -3*c = -b*c + v + 2, 0 = c + v - 1. What is the tens digit of (2\/(-3))\/(c\/(-141))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = 0, 5*h + 4*v = v - 55. Let t(p) = -9*p - 1. Let c be t(3). Let j = h - c. Solve 3*f - 5*f = -w, 5*w - 3*f = -j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:29 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1409 times 1213\nAnswer: -170.9117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d + 7. Let x be r(6). Let s = -21 + x. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p**2 - 41 - 40 - 45 + 63*p + 132.\nAnswer: 26*p**2 + 63*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 141 = 13. Suppose 0*z - h = 2*z. Find the common denominator of -11\/12 and 285\/108 - 12\/z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 655*s**2 + 4497 - 2245 - 2251 + 220*s**2 - 132*s**2 to the form w + p*s**2 + r*s and give p.\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(6\/11)*k)\/(k**(2\/51)*k))\/(k**(-40)*((k\/(k\/(k*k**(-15))*k))\/k*k)\/k) assuming k is positive.\nAnswer: k**(32822\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29168383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -377*o**2 - 7628*o - 1773. Determine k(-20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2.1, 1\/7, -2 in increasing order.\nAnswer: -2.1, -2, 1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, f: 4, g: 4}. What is prob of picking 3 g?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.33 (b) 18 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -14*j + 12. Calculate s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/(-184) + 2 + (-97)\/4. Is 693\/t*-13 + 1\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63527 (base 8) to base 12\nAnswer: -13387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/13)\/(l\/(l\/l**(-1\/8))))\/(l\/(l\/(l**7*l)))**(14\/11) assuming l is positive.\nAnswer: l**(-11329\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1398552 (b) -1 (c) 152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 102222690*s. Let g(k) = 3*k**2. Determine g(r(l)).\nAnswer: 31348435052508300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-6))\/(4\/6). Suppose 4*d - 5*y + 3 = 0, 4*d - 1 - 2 = 3*y. Factor 0*u**4 + 2*u**d + 2*u**v - u**3 - 3*u**4.\nAnswer: -u**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 628078 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqun when four letters picked without replacement from {l: 1, n: 2, q: 1, r: 1, w: 2, u: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 3. Let b be p(4). Let l = -45 + 85. Suppose o - l = -o. What is the greatest common factor of b and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 240 - -a93?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 65. Factor a*u**4 + 0*u**5 - 5*u**5 - 18*u**4 - 2*u**3.\nAnswer: -u**3*(u - 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/20)\/((-6)\/(-140)). Let q be (-1)\/(-7) + (-120)\/w. List the prime factors of q\/(-4) - 474\/(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257.8 times 0.4?\nAnswer: -103.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 5. Let w be h(-6). Let q(t) = t - w*t + 5*t - t + 12. Let x be q(7). Put x, -3, 2 in descending order.\nAnswer: 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/15 + (-4)\/(-6). Which is the nearest to k? (a) 1\/6 (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/((-1)\/(-21)). Suppose -h*z + 6*z + 4 = 0. Suppose -2*p = 3*c - 21, -5*c - 2 + 15 = -z*p. Solve 5 = c*b - 4*s, -2*b - 25 = -5*b - 2*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50460 divided by 12\nAnswer: -4205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 2 - -7) + -1. Let k be 0\/(-2) + 5\/(-10). Put z, k, 2 in descending order.\nAnswer: z, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -22960 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqfffkfqkqfffqqffqf. Give prob of sequence fk.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19676375 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53799555?\nAnswer: 3, 5, 3586637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 4, 3, -21, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*z + 47 = 80*s + 94*s - 175*s, 3*z - 5*s = 125 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*p - 5*m, 1917*p + 52 = 1922*p - m. Factor -2\/3*h**3 + 34\/3*h**2 + 0 + p*h.\nAnswer: -2*h*(h - 18)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9432.69 nanograms?\nAnswer: 0.00943269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (8 + -24) - (1 + 0 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 315?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839*w + 3606 + 27251 = 2331 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 14) to base 12.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16060957 + -2?\nAnswer: -16060959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -23. Let n = 1 - d. Solve n*t - 4*t - 1 = -3*p, 6 = 4*p + 2*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5 + 143296*t**4 + 2566861244*t**3 + 5133292608*t**2 + 2566574658*t = 0.\nAnswer: -35823, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 2*a**5\/5 + a**4\/6 + a**3\/3 + a**2\/2 + 19*a. Determine m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) - (-15)\/(-28). Let z = 7793\/4 + -1950. Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316*-440.6\nAnswer: 139229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 = -5*k, -q - q + 22 = -4*k. Let c(u) be the second derivative of -q*u + 1\/3*u**3 + 0 - u**2. What is c(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 5*n**4\/6 - 19*n**3\/6 + 2*n**2 - 6*n. Let k(p) = -21*p**2 + 39*p - 8. Let d(f) = -3*k(f) - 7*w(f). Factor d(z).\nAnswer: -(z - 2)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**3 + 8871*x**2 - 8871*x**2 + 11*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18912 - 18896. Calculate the least common multiple of r and 396.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 y when three letters picked without replacement from {y: 2, t: 4, g: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/13373815 and -135\/2493764?\nAnswer: 1658353060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 97, 40 in increasing order.\nAnswer: -0.3, 40, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9580 and 42.\nAnswer: 402360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6578 * 23.\nAnswer: 151294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*r**2 - 183*r**2 + 1037*r**2)*(-3*r**3 - r + r).\nAnswer: -2886*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((2*(sqrt(84) - -1*sqrt(84) - sqrt(84) - sqrt(84)))\/(sqrt(132)\/sqrt(99)))**2 - (1*sqrt(3024))\/(sqrt(21)\/(sqrt(7) + sqrt(28)\/sqrt(4) + sqrt(7)))).\nAnswer: -36*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26453, -26484, -26515, -26546, -26577?\nAnswer: -26608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 33*p**2 + 17*p**2 + 8*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159272, 637007, 1433210, 2547863, 3980948, 5732447?\nAnswer: 7802342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4815*y**5 + 9531*y?\nAnswer: 96300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 6. Let v = f + 1.1. Which is the nearest to -1? (a) 1\/2 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:40 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 61. Suppose -2*u - i = -21. Solve -4*y = -6 - u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 122\nAnswer: 48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*s - 37, -2*r + 10 = -0. Calculate the remainder when 14 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.9 - 4.9. Let j = a + -23.9. Let u = -1.5 + j. What is u rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/270 - 19*o**4\/108 + 2*o**3\/3 + 98*o**2. Solve f(k) = 0 for k.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w + 0*w)*(0*w**3 - 3*w**3 + 2*w**3) + (0*w - w + 0*w)*(0*w**3 + w**3 + 0*w**3) - 30*w**4 - 31*w**4 + 57*w**4 - 9*w.\nAnswer: -w**4 - 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -766, -1530, -2296, -3064?\nAnswer: -3834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.63 * 35471\nAnswer: -22346.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 22816*a + 22816*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**5\/180 + s**4\/36 + 8*s**2. Let o(t) = 0. What is t?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 62*t**3 + t - 4474. Let j(f) be the third derivative of -f**4\/24 + 4*f**2. Give j(m(o)).\nAnswer: -186*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqivivniinqiiii. What is prob of picking 1 v, 1 n, and 1 i?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:30 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*k**3 + 73*k*v**2 - 349*v**2 + v wrt k?\nAnswer: 15*k**2 + 73*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by -52290?\nAnswer: 11\/5810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 803041 (base 11) to base 14\nAnswer: 259018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlkz. Give prob of picking 2 z and 1 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45 + 67*m**2 - 38*m**2 - 19 with respect to m.\nAnswer: 58*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6718254 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:09 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 440*r**5 + 1908*r**2 + 415*r**5 - 499*r**5 wrt r?\nAnswer: 21360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(891)*4 - (sqrt(891) - (3*sqrt(891) + 4))**2) + -3 + 1.\nAnswer: 432*sqrt(11) + 14322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7451 - 7449. What is the nearest to d in -0.06, 0.3, -2, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294372 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 24229 and 24229 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*j = 14582, 4*i + 14*j - 11*j = 14566. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 0 + 21 + -190 + 167?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38214*x**3 - 19*x**2 + 23*x**2 - 4*x**2.\nAnswer: 38214*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 266 - 46 = 0. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31078 times -2\nAnswer: 62156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 29691697972?\nAnswer: 29691697971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 9518 + 2*t + 8*t - 13*t + 4759 to l*t + z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -178*q - 3. Suppose 3*z - 16 = -5*m, 8 = -5*z - 5*m + 18. Let h be b(z). Is h\/18*(1 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**3 + 2*z. Let y(m) = 4*m**3 + 3*m. Suppose 6*d + 10 + 14 = 0. Let k = 14 + -8. Give d*y(p) + k*b(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 165296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 2*v**2 - 2*v - 3. Let y be p(-2). Suppose 0 = -4*z + y + 27. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2506261 (base 7) in base 5?\nAnswer: -40242112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 193*w - 3446. What is the tens digit of a(-74)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 8*l - 8*l - l**2 - l to the form g + b*l**2 + w*l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28480 divided by 6?\nAnswer: 14240\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(1\/5)*x**18*x assuming x is positive.\nAnswer: x**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, -32, -134, -328, -644?\n\"Answer: -5*n**3 - n**2 - 2*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354 is divided by 265?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/3 - 305938*s**4\/3 - 3899664202*s**3 + 58501387898*s**2\/3 - 46802089352*s\/3 = 0. What is s?\nAnswer: -76487, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - (-4 + 5)) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5015198 to the nearest integer?\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133\/(-19)*174\/32277.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185ab1a (base 14) to base 12.\nAnswer: 4053718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y + 8*r = 689, 705*y - 706*y + 13 = -3*r for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-96)\/(-45))\/4)\/((-608)\/3648))\/((-8)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/8*44\/3201. Let p = 1617\/194 - b. Let g = p - 9. Put g, 5, -1\/3, -4 in ascending order.\nAnswer: -4, g, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 6*k + 6. Let w be g(-9). Let l be (-5*4)\/2 - 0. Let b = l - w. Solve 0 = 2*c + 2, 0*i - 2*i - c = b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1136 and -17\/710?\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4. Let k be (-1 + 0)\/(b\/(-2)). Suppose d = -k*t, 0*t + t = -4*d + 7. Solve -3*i - d*r - 10 = 0, i = -2*i - 5*r - 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 7*c. Let k(d) = 14*d - 98. Let h be k(7). Suppose -93 = -3*j + 3*m, 5*m = 3*j + j - 120. Solve 2*x + j = -5*o, h = -c*x + x - o - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6 - u**2 - 7*u + 0 + 0*u**2. Determine m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-80)\/(-3520))\/(-5*(-2)\/120*-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 5*v + 2. Let r = -4 + 9. Let t be g(r). Let z(y) be the third derivative of -y**6\/120 + y**5\/60 - y**3\/6 + 1933*y**2. Give z(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27378679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -225*j - 63. Let g(q) = 18*q + 5. Determine -63*g(x) - 5*w(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-3))\/(3\/3). Suppose -q*g + 3400000 = -0*g. Suppose 0 = 5*o, -g = 8*k - 4*k + o. Round k to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36144 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: Is 86903040209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 332464448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 l when four letters picked without replacement from {r: 2, t: 1, i: 1, l: 6, o: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3 + 5. Suppose 5*u = 4*z - 598, c*u - u + 590 = 4*z. Suppose 2*o = -o + z. What is the remainder when o is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u + 882 + 335 = -43 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 28*a**4 - 8*a + 2 + 22*a**4)*(-4 + 1 + 1).\nAnswer: 12*a**4 + 4*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46330153 is divided by 4428?\nAnswer: 4417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/35 + (3 - (-23)\/5). Let z(i) = v - 4*i**3 + 7 - 14 + 14*i**3. Calculate z(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 + 217. Suppose 4*i + x = 88. Let p(m) = m**3 - m**2 - 6*m + 7. What are the prime factors of p(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3102*l - 35. Let b be f(8). Suppose -86*p + 85*p = -b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 + -176. Which is bigger: o or 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/(-68) + 2\/17)*-4. Which is smaller: 3\/23 or h?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61\/112 + 11\/16. Let k = 0.05 - -0.15. Which is the closest to w? (a) 1\/6 (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -939*d**2 - d + d + 1870*d**2 - 968*d**2.\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55\/2 + 5\/4*x**2 + 65\/4*x.\nAnswer: 5*(x + 2)*(x + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -22*b + 21. Let c(p) = -22*p + 22. Let x(t) = -6*c(t) + 5*n(t). What is the tens digit of x(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000917 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 32*s - 9. What is the remainder when j(3) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 1444?\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 - 699 + 6543 = 677*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1048*q - 17. Is v(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:33 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -0*x - 12. Let t(b) = 4*b + 23. Let f be t(-5). Suppose x*z + 4*s = 3*s + 318, 2*z + f*s = 314. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4\/4 - 6*f**3 - 21*f**2\/2 + 11*f - 2. Let j be 2\/6 + 52\/(-3). Is o(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -6. Let h(j) = -2*j**2 - 4. Let n(v) = v**2 + 1. Let t(x) = k*n(x) - h(x). Let i(q) = 2*q. Calculate i(t(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 26535*h + 1987780.\nAnswer: 5*(h + 76)*(h + 5231)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4167*k**2 + 1697*k**2 + 2142*k**2 + (-2 - 1 + 5)*(4 - 2 - 8)*(-3*k**2 + 5*k**2 - 3*k**2).\nAnswer: -316*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(1*sqrt(5)) - (sqrt(528) - ((2*sqrt(528) - sqrt(528)) + sqrt(528))))\/(sqrt(3) - 4*-1*sqrt(3) - (sqrt(3) + sqrt(18)\/(sqrt(6)*2))).\nAnswer: 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 3*x + x. Calculate the lowest common multiple of 5 and d(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24761 times -15\nAnswer: 371415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45787535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (72 - 0 - (-18 + -24 + 42)) + -13?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 51*s + 81 + 23*s + 29*s.\nAnswer: s + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 124. Suppose u + n = -1. Let z be u\/(-112)*7\/6. Which is the biggest value? (a) z (b) 2\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - q. Let b(a) = 13*a**2 - 9*a + 14. Let t(w) = b(w) - 6*g(w). Let x be t(0). What is the closest to x in 0.2, -0.1, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3750299 is divided by 1620.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14190 + 468.9846164.\nAnswer: -13721.0153836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v + 2 - 4 - v**3 - 7*v**2 + 5. Suppose -4*q + 12 = -0*q. Suppose -4*f = -q*x + 2, 4*x + 15 = -x + 3*f. Calculate j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 146378810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 2*n - 1227. Suppose g = 4*c - n, 3*g + 470 = 5*c - 396. Suppose 3*z = c + 326. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f - 2. Let d be g(-1). Suppose 5*q = -r - 1, -2*q + d*q = 2*r - 6. Solve -i - r = -0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 times 481?\nAnswer: 23.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 166?\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r + 151. Let y(l) = l**2 + 28*l - 147. Let m be y(-32). Calculate s(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 801*w**2. Let q(z) = z. Give f(q(i)).\nAnswer: 801*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a**3 + 9*a**2 - 30*a - 314. Determine m(-7).\nAnswer: 3081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + h - 122, -4*d - 216 = 5*h - 0*h. Let y = d - -193. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 300676519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -3\/7, 7, 9\/8, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 1. Suppose l + 0*l = 3. Suppose 5*p + l*i = 82, -2*p + 48 = 2*i + 3*i. Calculate the remainder when p is divided by c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = 2*l. Let i be (3 - (l - -7)) + 3. Is 33 a factor of i*(146\/3)\/((-28)\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 8*l - 3. Let c be o(8). Calculate the remainder when 23 is divided by (-1 + c)\/((-2)\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q - 6. Let u(k) = -7*k + 1. Let l be u(-1). Let f(n) = -2*n - 2. Let a(t) = l*f(t) - 3*h(t). What is the first derivative of a(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((63180\/(-104))\/81).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -12201657 = -12201658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from iriiiiiir.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.1569 + 4772.24?\nAnswer: 4713.0831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -144 + 250. Let s = f - 105.9828. What is s rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/12 - 7*o**3\/6 - 3*o**2 - o. Suppose 2*y - 3 = -3*x - 21, 4*y - 24 = 4*x. Give u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaie when four letters picked without replacement from mmaimkiimmaeckmekkmm.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/21*(-21)\/(-18)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. Let d be ((-2)\/(-4))\/1*0 + 1. Let o(u) = -x + 0 - u - u - d. Determine o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**5 + 8*t**4 + 33*t**3 - 52113*t**2?\nAnswer: -60*t**2 + 192*t + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*p - 6846 + 2789, 3*p - 2431 = 5*h. Calculate the greatest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-36) - (-10)\/(-45). Let o = 166 + -165.6. Which is the closest to 2\/5? (a) j (b) -2\/21 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -1411.\nAnswer: -25398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 14. Calculate m(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + -11 + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2858566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1398*p = -1756*p - 358 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375073 is divided by 7208.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 11. Let p be s(-8). Let q(d) = -10*d**3 - 12*d**2 + 5*d. Let z(u) = 7*u**3 + 8*u**2 - 3*u. Let i(w) = 5*q(w) + 7*z(w). Calculate i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjydyddjdij. What is prob of sequence yy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = -3. Suppose 2*h - d*h = -20. Suppose 0*w + h = -w. Sort w, -3, 0 in descending order.\nAnswer: 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:15 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39941474137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -231, 2\/3, -2\/11, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -54407 (base 9) to base 6\nAnswer: -434524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 656.7257g?\nAnswer: 0.0006567257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - l = 14, -19 = -g + 275*l - 273*l for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 16*o**2 + 166*o + 752. Calculate f(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 155.6970539403 - 24\nAnswer: 131.6970539403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 73 + 47)*(12*z**2 - 18*z**4 - 12*z**2) in the form p*z**2 + s*z**3 + j*z**4 + n + v*z and give j.\nAnswer: -2034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-1\/2)\/q)\/q)*q\/(q*((q**(-2\/9)*q)\/q)\/q)*((q**(1\/4)*q)\/q*q)**(-5\/3))**(-3\/10) assuming q is positive.\nAnswer: q**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 0.8 (b) -0.1 (c) 0.1 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0 - 4. Let v(o) = -55*o + 1. Let n be v(r). Let t = 208 - n. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 46.6. Sort -0.5, a, -2\/7 in ascending order.\nAnswer: -0.5, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7146?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.37 - 33.37. Let k = 38 + i. Let p = 2 + -2.2. What is the closest to 1 in k, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 3. Let h be o(-5). Let k be 32\/(-24) + h\/(-6). Calculate the smallest common multiple of -2 + 4 + k + 6 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g - 6 = 0. Suppose 15 + 0 = 3*k + 5*f, f = -5*k + g. Let i be ((-1)\/(-2) + 0)\/((-549)\/1098). Sort -0.4, i, k in decreasing order.\nAnswer: k, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*a, 30 = 4*a - j + 5. Suppose a*n = -5*m - 421 - 174, 0 = 3*n + 2*m + 353. Calculate the common denominator of -79\/6 and (667\/n)\/(2\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndym when four letters picked without replacement from {b: 1, m: 2, y: 6, h: 5, n: 1, d: 2}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*v - 175, -4*j + 3*v + 185 = -2*v. Let z = -38 + j. Suppose 42 + 198 = 4*h + z*i, 0 = 4*i. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(2052) - -3*-2*sqrt(57))\/(sqrt(6)\/(sqrt(2)*3*-3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868*j + 303820 = -2688*j - 12664 for j.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/52173 and 52\/15279?\nAnswer: 24156099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5443 + 2289. List the prime factors of t.\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -143111033 (base 6) in base 3?\nAnswer: -12112210202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:30 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3449.6 + -3449.5999981327. What is r rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z. Let r(a) be the third derivative of -a**5\/12 - 20*a**2 - 1. Calculate r(p(b)).\nAnswer: -405*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -318, -322, -328, -336, -346, -358?\n\"Answer: -x**2 - x - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 0*g**2 + 1\/6*g**4 + 5 + 1\/3*g**3 - 2*g. Let s(y) be the first derivative of n(y). Solve s(r) = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-35)\/15)*2. Solve n - 4*x + 2 = 0, 5*n + 4*x - m = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*g**2 + g**3 + g**2 - 1 + g**3 as l*g**3 + u + t*g**2 + m*g and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.04 + -0.04. Let i = 3.99 - q. Let h = 0.59 - i. What is h rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1474953457.99999002 - 1474953850. Let u = 0.823 - -391.177. Let h = u + l. Round h to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 674, 1639, 2854, 4319, 6034?\n\"Answer: 125*u**2 + 590*u - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1860, -3 in descending order.\nAnswer: 1, -3, -1860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19728\/(-190704)*(-58)\/183?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/5059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*b**2 - 431416*b + 67872 = 0 for b.\nAnswer: -1212, 14\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.5. Let s be 1188\/(-77) + -17 + 32. Which is the third biggest value? (a) p (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2850 = 17*n - 165*n + 20*n - 157*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 2:29 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2640031114 to the nearest integer?\nAnswer: 51381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60352 <= 60352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 14, y: 2, i: 1}. Give prob of sequence ki.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -136*k**2 - 644*k + 131. Determine x(-7).\nAnswer: -2025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -347, -752, -1215, -1736, -2315?\n\"Answer: -29*t**2 - 318*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + f + 233 = 545, 4*j + 4*f = 256. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7262 - -11991. List the prime factors of a.\nAnswer: 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1000122022211?\nAnswer: 1000122022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159631 - -94731. What is t rounded to the nearest 1000?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.1. Let n = -43 + 44. Which is the biggest value? (a) y (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/2, 0.236, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -29*n - 11. Let j(r) = 14 - 10*r - 8 - 9 - 1. Give 17*j(g) - 6*l(g).\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -2*c - 0*c. Let i = c + 55. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14194.6455 rounded to the nearest one hundred?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -227, -348, -495, -674, -891, -1152?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/800 and -43\/32?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**6 - 483*z**5 - 2*z**4 - 7347*z**2.\nAnswer: -120*z**3 - 28980*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*w - w = 0, -2*w = -5*h. Let t = 27 + -24. Sort h, t, -1.\nAnswer: -1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -20. Let n(a) = -38*a + 17*a + f*a + 7*a. Let z(i) be the second derivative of -i**4\/12 - i. Give z(n(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.32?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(19\/12)*(-5)\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**7)**35\/(i**(6\/11))**(1\/35))**(-2\/175) assuming i is positive.\nAnswer: i**(-188638\/67375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 13*n**2 - 37*n - 319. Determine t(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 230\/(-207)*288\/80?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/60 - i**5\/10 + i**4\/12 - 3*i**3\/2 - 15*i**2. What is the hundreds digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 i when four letters picked without replacement from {i: 3, x: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-107)\/(-53928)*140 - 4\/(-18)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a)**(19\/4)*(a\/(a\/(a\/a**(-2))))**(7\/9) assuming a is positive.\nAnswer: a**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 0*q + 3*q + 41*q + 38*q - 91*q + (-6 + 3 + 2)*(4 - 4 + 3*q) - 5*q - 10*q + 2*q + 2*q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12) - (-95)\/(-228).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.005 + 1.327. Let c = 1.4 - p. Let s = c + -0.818. Round s to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = 8*g - 1015. Suppose 2*k - 41 + g = -4*z, -k + 6 = 3*z. Put 3, k, -5, -1 in increasing order.\nAnswer: -5, k, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000764719 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13061 + -8882. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8440611106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 49*x**4\/12 - 7*x**3\/6 + 1123*x**2\/2 - 148*x - 1. What is the first derivative of g(r) wrt r?\nAnswer: 98*r - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from aaoaaaaaaaoaaaaaao?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 8*d + 22*d - 7*d - 4*d + 10*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-1\/2))**(-6\/17))**(-41) assuming m is positive.\nAnswer: m**(615\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**6\/20 - 9*z**5\/20 + 13*z**4\/8 - 3*z**3 + 3*z**2 - z + 1. Factor a(b).\nAnswer: 3*(b - 2)**2*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(5 + (-5*(2 + sqrt(475)))**2*4).\nAnswer: -143714 - 6000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 15*s - 33. Suppose -3*g + 10 = 1. Suppose -2*t - 28 = g*x, -33 = 3*t - 2*x + 22. Let m be w(t). Solve -2 = -o - m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 105. Suppose 2*k + 15 = h, -k - 11 = -2*q. Solve t = -5*x - 3*t - 33, -q*t - 6 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655.5949 millilitres to litres.\nAnswer: 0.6555949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 + 20*q**2 + 77*q + 57. Let o be r(13). Is 33 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116334 + 116332 + 11*k + 71*k + (-k + k - k)*(-2 - 2 + 2) - 3*k - 3*k - 2*k to the form p*k + b and give p.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3 + 0*x**6 + 0*x**4 + 0*x**5 + 0*x**2 - 2*x - 1\/21*x**7 + 0. Find the second derivative of i(q) wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1686906210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57656449 to the nearest integer?\nAnswer: 7593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 + 0.185. Let j = a - 36.065. Let o = -0.07 + 0.07. Is j <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272016430 rounded to the nearest one hundred thousand?\nAnswer: 272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101001 + -111010110100?\nAnswer: -110001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3227062 divided by 111278.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - a**3 - 2)*(-1373*a + 2011*a + 519*a)*(-1 + 1 + 1).\nAnswer: -1157*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((16 - 13) + -9) - -14.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3 - l**2 - 2326*l - 207212 wrt l?\nAnswer: -3*l**2 - 2*l - 2326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 + -101. Let i be 1 + (-1 + m)*2\/6. Solve 2*r + 2 = b, 3*r = b - i*r - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 1962?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 34755 = 7*p. Let z = -74399\/15 - p. What is the common denominator of z and -73\/33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {n: 2, k: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**5\/160 - o**4\/6 - 13*o**3\/12 - 3*o**2 - 2*o + 60. Factor s(g).\nAnswer: -(g + 2)**2*(g + 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -12*x**4 - 7953*x**3 - 1320687*x**2 - 984063*x + 328683 = 0?\nAnswer: -331, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/6 and -34\/69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-3)*-6)\/(-2). Let f(p) = 3*p - 10. Let y be f(4). Let c(g) = 0 - l*g + 120*g**2 - 121*g**2 - y. What is c(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549\/8 <= 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 14*r**2 + 2*r + 1. What is the units digit of p(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3 + (0 + sqrt(1377))*5 - (-3 + (1 + sqrt(1377))*1)) + -2)**2.\nAnswer: -216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f**4 - 78*f + 1881.\nAnswer: 24*f**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -22021?\nAnswer: -22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-87))\/(56\/1624))\/((-2)\/26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5352 rounded to 2 decimal places?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2372*c - 1532*c - 3969*c - 3466*c - 307*c + 2268*c.\nAnswer: -9378*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3820*l = 3795*l + 425. Solve 0 = -3*z - 5*a + l, -1 = -z - 3*a + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -5326.\nAnswer: 33\/5326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-5)\/(-30)) + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-6)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-4))\/((-3)\/(-6)*-1). Let z(v) = -12 + l*v**2 - 10*v - 16 + 20*v**3 + 2*v + 9. Let u be z(13). Round u to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259.613 rounded to the nearest integer?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14183493 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-249)\/166*(-5)\/(1410\/(-16)) and -43\/11?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720518913 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 2*u**2 + 4*u. Let r be -2*((-15)\/2)\/(-5). Determine y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2 + 18\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 643*h - 356. What are the prime factors of d(19)?\nAnswer: 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 285202.\nAnswer: 53903178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -466*h**6*m - 2*h**4*m**2 - 230*h**2*m**2 - 2*m**2 wrt h?\nAnswer: -55920*h**3*m - 48*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8530249 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 20. Let u(o) = 8*o + 40. Calculate -7*h(p) + 4*u(p).\nAnswer: 11*p + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(624))\/sqrt(12))\/((2*sqrt(40))\/sqrt(10)))**2 - (0 + (1*sqrt(13)*1)**2)*5.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-13 - -30) + 5) - -104?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + -36 - (-141)\/33) + (-5676)\/(-9801)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 18 + 3*n**2 + 93*n - 124*n + 0*n**2 + 12. List the prime factors of f(22).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282778 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.44 - 304821.\nAnswer: -304785.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*w - 4*u - 3, u + 2 = 0. Suppose -4*h - w*f + 28 = -9, -5*h + 35 = 4*f. Find j, given that 0*j + 0 + 8\/9*j**2 - 8\/9*j**h + 2\/9*j**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 172396.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 27*o + 260. Let c(u) = 2*u + 6. What is the lowest common multiple of k(16) and c(9)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - (19 + 6 + -17). Suppose -3*j + 2*i + 15 = 3, 3*j - 12 = i. Put q, -6, 5, j in descending order.\nAnswer: 5, j, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.35 + -15.7892. Let q = 0.0492 + c. Let h = q - 0.61. What is the nearest to 0.1 in h, 0, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11790*j + 32349 = -12579*j for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1183*p**2 + 5 - 253*p + 15*p - 903*p**2 - p**4 - 8 - 1069*p**2 wrt p.\nAnswer: -12*p**2 - 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -142b449?\nAnswer: -142b44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knvkufuvnuksnuu. What is prob of picking 1 v and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4019\/13 + 309. Let d = -0.14 - 0.26. Let i = -3.4 - d. What is the closest to -1 in q, i, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**2 + 4*i + 1. Let m(f) = -11*f**3 + 3*f**2 + 4*f - 11. Let r be m(2). Let d = r - -75. Give t(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4 + 8*s**2 + 33*s + 5 - 3 + 2*s**2. Let x be m(-8). Suppose -c - k + x = c, 0 = 2*c + 5*k - 382. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -560 + -10313215?\nAnswer: -10314105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xii when three letters picked without replacement from iiyuiixiiixuiuu.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -9*j + 10. List the prime factors of (-4*26\/4)\/(j\/45).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-90))\/((-31)\/((-310)\/4)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 88*m**3\/3 - 13*m**2\/2 - 11*m. Let g be j(18). Let a = g + -1612. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = 2*f - 12, 3*f - 4*r - 52 = 0. Let v be (-10)\/6 - (-4 - f\/(-3)). Which is the closest to 2? (a) 0.3 (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 7*y - 4. Suppose 0 = -a - a - 12. Let n be f(a). Solve -n - 6 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q**2 - 27*q - 9. Let v(f) = 15*f**2 - 29*f - 11. Determine 6*p(u) - 5*v(u).\nAnswer: 15*u**2 - 17*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:37 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -133. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v**4 - 101148*v**3 - 396896024*v**2 - 453263191356*v + 226730832328 = 0. What is v?\nAnswer: -5321, -2002, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.8 - -42. Put 2\/15, w, 1, -1 in ascending order.\nAnswer: -1, 2\/15, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywyyyyyvywbyvydvyya. Give prob of picking 1 d, 1 b, and 1 w.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 3, c: 1, d: 5}. What is prob of picking 2 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l + 52*l + 1 + 81*l - 27*l + 76*l.\nAnswer: 152*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 11370?\nAnswer: 11370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/12224 and -95\/128?\nAnswer: 24448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14736\/(-1842)*(-6269*1\/(-2))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86353777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 - 3*p**2 - p + 2. Let g be a(1). Solve -24 = r - 5*d, 4*r + g + 35 = 5*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 10*s**2 + 53*s + 10. Determine d(-15).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 21*m**2 + 2*m + 31. Calculate c(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 542803370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6)*42\/(-28). Let m(x) be the first derivative of -x**2\/2 - x - 1. Let g(r) = 3*r + 4. Determine i*m(f) + g(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95706286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**5\/4 + 75*a**4\/2 - 515*a**3\/2 + 405*a**2 + 3915*a\/4 - 4725\/2 = 0. What is a?\nAnswer: -2, 3, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401844?\nAnswer: 2, 3, 33487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, -4.\nAnswer: -30, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - j + 112 = -6*j, 2*v - 4*j = 56. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9152.891ml to litres.\nAnswer: 9.152891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**5\/60 - m**3\/2 - 52*m**2 - 3*m + 2. Let c(o) be the second derivative of o**4\/12 + o**2 + o. Calculate -6*c(v) - 4*x(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/1980*9 - (-107992314)\/66 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 5*z + 10. Let d(t) = 2*t**2 - 11 + 42 - 16*t + t**2. Let r(s) = -2*d(s) + 7*y(s). Let m be r(8). Solve 5*w + 16 = 4*l + m, 0 = 4*w - 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 + 3.8.\nAnswer: 381.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d + 6*d**2 - 5*d**2 + 1660 + 3*d. Let p be n(0). Let k = -2860 + p. What is k rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 5, -25, -67?\n\"Answer: -6*c**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.9, 3, 87, -1?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 163020?\nAnswer: 1141140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.1. Let o = -1752 + 1755. Let q = 2.05 - 0.05. What is the smallest value in q, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, j: 2, m: 6}. Give prob of picking 2 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28600, -26258, -23918, -21580, -19244, -16910, -14578?\nAnswer: -12248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4\/9, 2, -4\/5, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -136\/2115 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f**2 - 162*f - 105 = 0. Calculate f.\nAnswer: -7, -5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171 - 174. Put 2\/9, b, 3\/4, -14 in ascending order.\nAnswer: -14, b, 2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from gzhzghzzzszzzggz.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 1\/3, 3, 2, 3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 645\/180596 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 103 = -2*m - 111. Calculate the highest common factor of m and 4328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*w, -7 = 5*y - 2*y - 14*w for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.05, -0.5, -2, 0.3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15299 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2991 + -2883. What is the highest common factor of m and 8748?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 3134*z**3 + 1045*z**3 + (-z + 2 - 2)*(-2*z**2 - 1 + 1) in the form x*z + i*z**2 + a*z**3 + j and give a.\nAnswer: 4181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from dbbcbbdd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/5 + 43428*x**2\/5 + 47253834*x + 1129094640 = 0?\nAnswer: -10845, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3640.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51680 (base 11) to base 9.\nAnswer: 124322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/11)\/h*h**(-5))**(-16)\/((h**(-1\/4))**(-34))**(-35) assuming h is positive.\nAnswer: h**(8561\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(5 + -4) + -2*1. Does 5 divide b + 118\/4 - 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11))**(-5)*(v*v**(2\/7)\/v)**(-27) assuming v is positive.\nAnswer: v**(-524\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 7*q + 5*d = 3, -5*q + 2*d - 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/3388 and 69\/1232.\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -33*q + 34. Let w(u) be the third derivative of 16\/39*u**3 - 1\/780*u**q - 3*u**2 - 2\/13*u**4 + 3\/130*u**5 + 0 + 0*u. Solve w(m) = 0 for m.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7050 = -5*r + 15827, p + 22889 = 5*r. What are the prime factors of r?\nAnswer: 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 6 (b) 0.03 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b - 24*b**2 - 21*b - 27*b**2 - 20*b + 61*b.\nAnswer: -51*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from uxzpx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l*l\/l**0))**23\/(l**(-4)*l**0\/l))\/((l**(-4\/7)\/(l\/(l*(l**(1\/6)\/l)\/l*l)))\/((l*l**3)\/l*l**(-1))) assuming l is positive.\nAnswer: l**(-2545\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 29. Let m be n(9). Let x be (-75760)\/(-25) + 1\/5*m. What is x rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, u: 1, f: 1, x: 2, q: 1}. Give prob of sequence cquf.\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, b: 4, x: 3, d: 1, m: 1}. Give prob of sequence xnn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15664 is divided by 59.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.02, 16, 3, -5.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + 13 + -2 + 9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 131*n**2 + 8960*n - 49152.\nAnswer: (n - 128)**2*(n - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.44, 29, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1362 + 1370. Solve b + 0*n - 4*n + x = 0, 5*b - 4*n + 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/10)\/((-4)\/10). Let m = -37\/20 - -8\/5. Let p = -1 - 3. What is the closest to g in m, p, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Suppose 4*v - 4 - w = 0. Let s = v + -2. Are 0 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.24229 + -3.24. Round y to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 - -0.17. Let k = 24722 + -24719. What is the third biggest value in f, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(3*sqrt(1100) + sqrt(1100))*-3.\nAnswer: -3*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**3\/11 - 98*t**2\/11 + 882*t\/11 - 1710\/11 = 0.\nAnswer: -57, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 7245*d - 608606. Give h(-85).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r - 4. Let t be o(0). Let l = -1.96 + -0.04. Let h = -209\/4 - -52. Sort l, h, t.\nAnswer: t, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5709.\nAnswer: 3, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*d*z**4 + 4*d*z**3 - 40*d*z**2 + 18*d + z + 3029 wrt z.\nAnswer: -396*d*z**2 + 24*d*z - 80*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 14. Let p = k - -6. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 217 + 519 = 0. What is the units digit of (4 + f)*(-182)\/49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.05 - -6. Let o = l + 2.05. Which is the nearest to o? (a) -3 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205 and 5?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1051 (b) -0.107 (c) -727\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1317688, -2635007, -3952326?\nAnswer: -5269645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 12*z - 78 + 222 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - n + n - 7 + 0*n. Let c be z(-3). Suppose 5*w + c*r = 100, -w + 4*r = r - 8. Are 17 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -800 divided by -80.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243549037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*w - 7*w**2 - 11*w + 2*w**2 - 14 wrt w?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -83 and -0.1.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 283 (c) 0.3 (d) -2.07 (e) -0.14 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 0.051203.\nAnswer: -0.921654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 2*m + 1. Let a be t(1). Let b be 11 + a\/((-8)\/(-2)). Let w(c) = -b*c + c**2 + 11*c. Let n(s) = 3*s**2. Calculate n(w(f)).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1152 = 5*b, 3*b - r + 0*r - 689 = 0. Round b to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 9 = 3*l. Let p be (l\/(-3))\/(-1) + 1. Suppose p*o + 2*o - 112 = -4*f, 4*o = -f + 103. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 15. Suppose 0 = -4*z - g*i + 4477, 5*z = i - 0*i + 5582. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpk when three letters picked without replacement from ppppppkk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4465, 4617, 4769, 4921, 5073?\n\"Answer: 152*d + 4313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 228 = -3*n. Let u = n + -32. What is the remainder when 23 + 0 + 3 + -3 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 0*r**3 - 5\/2*r**2 + 1\/6*r**4 + 0 - 4*r. Differentiate m(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 1}. What is prob of picking 2 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -124.637\nAnswer: 3.73911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 17*n**3\/6 + 3*n**2\/2 - 6*n. Let w be r(-9). Let z be (110\/(-3))\/(4*5\/w). What is the greatest common factor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*(-4)\/(4 + 249\/(-62)). Suppose i - 15*i = -q. What is the remainder when i is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jajj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2*r + 13)*(-r**4 - 9 + 3*r**4 + 22).\nAnswer: 4*r**5 + 28*r**4 + 26*r + 182","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208654277.\nAnswer: 13, 17, 944137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n - 9. Let b be ((-3)\/n)\/((-1)\/19). Suppose 0*c + c = b. What is the greatest common factor of c and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (-40 - -63) - (10 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*i**2 - 211*i**2 + 103*i**2 + 3*i**2 + 0*i**2 - 2*i**2 + (2 + 1 - 4)*(-2*i**2 + 4*i**2 + 0*i**2))*(-5*i**2 + 0*i**2 + 6*i**2).\nAnswer: -131*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 754917737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 24, -0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42227804?\nAnswer: 2, 19, 37, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 less than -290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2 + 168*l = 0?\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10*x - 5 = 0. Is 24 a factor of 1\/(-2) + x - (-27081)\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 92406*g + 7103404.\nAnswer: 2*(g - 46126)*(g - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 96, 116, 156, 222, 320, 456, 636?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3096 and 16.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 15*z - 19*z. Suppose z*a - 6*a = 154. Calculate the highest common factor of 35 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66245135 and -3039.66?\nAnswer: 66242095.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 506847 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/4 - 3. Which is the closest to 1? (a) 0 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/6)*c)\/(c**(-7)*c))**(-3\/26) assuming c is positive.\nAnswer: c**(-47\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**8\/70560 - j**7\/8820 - j**5\/30 + 3*j**2. Let z(r) be the third derivative of n(r). Factor z(g).\nAnswer: 2*g*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*d**3 - 13*d**3 + 8*d**3)*(6 + 49 + 50) to m*d**2 + a*d + f + b*d**3 and give b.\nAnswer: -1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 7. Let b be q(6). Let f = b + -9. Let a = -69 + 73. Calculate the greatest common divisor of a and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-120)\/75*-5 - (12 + -4). Let p(i) be the first derivative of k*i + 17 - 9\/2*i**2 + i**3. Factor p(f).\nAnswer: 3*f*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 21\/7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2, -28480 in ascending order.\nAnswer: -28480, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4413 times -82\nAnswer: 361866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*4\/(1 + 11). Suppose -s - s + 90 = y. Suppose 9 + s = 2*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 185 = 18. What is the remainder when 78 is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 5. What is the units digit of (-1)\/((-2)\/(-10))*x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, u: 2, l: 3}. What is prob of picking 1 u and 1 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, 6, 0 in ascending order.\nAnswer: -17, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 155.\nAnswer: 8\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/15 + f**5\/15 - f**4\/8 - f**3\/3 - 13*f**2. What is the units digit of i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.1. Let z = -0.8 - -0.3. Let b = 0.8 + z. What is the nearest to y in b, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19868 - 15982. Calculate the highest common divisor of a and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992 a factor of 121674752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - -7 - (9 + 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6382647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-9)*(1 - 2\/(-4)). Suppose -x = -t - 1. Suppose x*d = d. Put d, -1, 5, -2 in descending order.\nAnswer: 5, d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4 + 14*d**3 - 12*d**2 = 0. What is d?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9386886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q = 2*q - 1089 - 1704. Calculate the remainder when 4160 is divided by q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202 + -1103313022?\nAnswer: -1103320230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15618324 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2 - 10\/9*g**3 - 5\/18*g**4 + 0*g**2 + 2\/3*g**5 + 1\/3*g**6 + 8\/9*g. Factor y(u).\nAnswer: 2*(u + 1)**3*(3*u - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 4*a**3 + 3 + 2*a**3 + a**3. Let t be m(0). Let i be 1 - 1 - (t - 3). Solve 4*u - 2*u + 8 = i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 = 6. Suppose 4*b - x + 12 + 2 = 0, m*x - 5 = -b. Put b, -1, -2\/11, 0.4 in descending order.\nAnswer: 0.4, -2\/11, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*j + 59. Suppose 8 + j = 4*l. Suppose -80 = -l*i - n + 6*n, -3*i - 2*n + 73 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 18500.894.\nAnswer: 18503.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 1}. What is prob of sequence wp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 25*w**2 + 24*w + 108. Determine y(26).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000000 (base 2) to base 5.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 8. Let z be x(-5). Let s be 3*z\/(4\/2). What is the third derivative of 5*m**4 - 6*m**2 + 2*m**s + 3*m**3 - 5*m**3 wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 480*q + 2 - 150*q - 165*q + 575*q**2 - 143*q - 58*q**2 wrt q?\nAnswer: 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*u + 76 = 0, p = -4*p + 2*u + 92. Suppose 4*i - p - 2 = 0. Solve 2*j = 2*y - 2, -2*y - 4 + 21 = -i*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose -2*k + 0*k + 6 = q*n, -10 = -5*n - k. Suppose -n*c = 3*c. Is -2\/19 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 9)*(-6*u - 5*u + 3*u).\nAnswer: 64*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-325)\/(-468))\/(-5)*(-3)\/5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86, 165, 244, 323?\n\"Answer: 79*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 289 + 96. Let p be 1*(-3)\/((-6)\/(-106)). Let u = x + p. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70777?\nAnswer: 7, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - (-3175)\/45)*6. Let t = -8543\/22 + n. Calculate the common denominator of t and -65\/77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwdj when four letters picked without replacement from {g: 1, j: 1, d: 1, i: 5, w: 7, b: 4}?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (16 + (2 - 18))) + 8 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 723253 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 + i. Let q(t) = -t. Let w(z) = -2*z. Let f(k) = -4*q(k) + 4*w(k). Give f(l(c)).\nAnswer: -24*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1595200355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10362, -10366, -10380, -10410, -10462, -10542?\nAnswer: -10656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*j**2 - 11*j**2 + j - 29*j**2 - 24*j**2.\nAnswer: -8*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 2*h**3 + 2*h**3 - 2*h**3 - h + h + (3*h - 3*h + 2*h)*(1 - h**2 - 1) - 1 - h**3 + 1 - 1 + 1 - 4*h**3 + 0 + 2*h**3 + 0.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 3*w**2 - 4. Let s be d(-3). Suppose 19 = q - 3*o, 4*q + 2*o - 89 = -55. Put q, 1, s in decreasing order.\nAnswer: q, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1074*11.\nAnswer: 1.1814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9667, -421, -0.5, 3, -3 in descending order.\nAnswer: 3, -0.5, -3, -421, -9667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(((1 + sqrt(343))*-3)**2 - sqrt(343)) + 1.\nAnswer: -15483 - 595*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.003*-3241820\nAnswer: 9725.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 e when four letters picked without replacement from {x: 3, e: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**17*i**(1\/28)*(i\/(i\/(i\/(i*i**(-2\/33))*i)*i))**(-33) assuming i is positive.\nAnswer: i**(421\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**3 + 1002*s**2 + 2916*s - 5938. Calculate f(-164).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 160 = 19*g - 7*g. Calculate the remainder when 8072 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100011 (base 2) in base 10?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krk when three letters picked without replacement from rkkrrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156 - 162)*2\/66.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-60) + (-34)\/(-85)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 144*x - 139*x. Suppose 6 = 5*y - x. Let n be 3\/(-6)*(-3)\/9. Which is the nearest to 2\/5? (a) y (b) n (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71713, 72044, 72349, 72622, 72857?\nAnswer: 73048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {m: 1, i: 2, x: 2, r: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyiiiy. Give prob of sequence iiyy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1250005?\nAnswer: -1250000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 269831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8 + (-1 - 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 350*a**3 - 5*a**2 - 4*a + 6903. Let m(v) = -352*v**3 + 4*v**2 + 3*v - 6902. Let s(i) = -6*m(i) - 5*n(i). What is the derivative of s(x) wrt x?\nAnswer: 1086*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let r be 12\/8*606 - -5 - -2. Let j = r + -870. Is j less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 + 64*f + 5. Let k(b) = 2*b**2 + 5*b. Calculate -3*k(z) - u(z).\nAnswer: -z**2 - 79*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 26*g**2 + g + 14. Determine f(-26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 531 + 597. Let v = 401 - g. Let p(o) = -v*o + 60*o + 61*o. Let b(m) = -9*m. Determine p(b(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 b when four letters picked without replacement from bbeeebebbeeeee?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*sqrt(4050)*2)\/((sqrt(10) - (-2*sqrt(360) - sqrt(10))) + -4*sqrt(10)*-2).\nAnswer: 324*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(300) - sqrt(300))*-6 - sqrt(18)\/((3*sqrt(60))\/sqrt(10)))**2.\nAnswer: 4*sqrt(3) + 109\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -5, -1, 15, 49, 107?\n\"Answer: b**3 - 3*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -18*m**3 + m**2 + 5*m - 2. Let y(g) = 19*g**3 - g**2 - 6*g + 2. Calculate 6*a(h) + 5*y(h).\nAnswer: -13*h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117926 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 p when three letters picked without replacement from {w: 4, p: 6, v: 3, s: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 + 24\/84 + (-28917)\/(-147). What is the greatest common factor of w and 591?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12472899 to the nearest integer?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 + -105. Suppose y*f - 6 = -4*h + 3*f, 4*h = 5*f - 15. Solve -5*q = -h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41, -46, -55, -68?\n\"Answer: -2*q**2 + q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 284483615 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 0. What is the second derivative of 10*p**h + 387 - 387 + p wrt p?\nAnswer: 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 5*p + 1161. Let a be c(-35). Let x(u) = u - 7. Let d be x(0). Let j = d + a. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 2, y: 3, a: 9}. What is prob of picking 2 a?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24154, 24156, 24160, 24166, 24174?\n\"Answer: o**2 - o + 24154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1428 divided by -102\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 12 = -4*d + 2*s, 16 = 4*d - s. Let b = -5 + d. Factor -4\/3*n**4 + b*n**3 - 2\/3*n**5 + 0*n**2 + 0 + 0*n.\nAnswer: -2*n**4*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 841, 1297, 2507, 4849, 8701, 14441, 22447, 33097?\n\"Answer: 63*k**3 - k**2 + 18*k + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 143044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14194 - -37968189.36.\nAnswer: 37982383.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 10:54 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}