diff --git "a/data/dm_maths/full_data/10355_11255.jsonl" "b/data/dm_maths/full_data/10355_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10355_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o be (-4)\/6*8*-3. Let y be o*(-7 + 3)\/8. Let f be y\/(-2) + (6 - 3). Solve -5*a - 5*k = -45, -5*k = -f*a + 4*a - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/2 - 13*t**2\/2 - 7. Find the second derivative of l(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**4 + 243*d**3 + 4818*d**2 - 972*d - 19320 = 0.\nAnswer: -46, -35, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4577)\/(-5) - 6\/15 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/36*729\/(-243)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5097320993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u*x**4 - 2*u*x**2 + 9237*u*x - 2*u + 152852*x**5 + x**3 - 2*x**2 wrt x.\nAnswer: 48*u*x + 9171120*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - 5.6. Which is the third biggest value? (a) 2\/13 (b) i (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112635, 96159, 79697, 63255, 46839, 30455?\nAnswer: 14109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 18*i**2 + 48*i + 122. Let o(h) = -32*h**2 - 92*h - 245. Let c(r) = -4*o(r) - 7*u(r). Factor c(t).\nAnswer: 2*(t + 7)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 41*j + 183. Calculate o(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2\/(-20)) + 5\/10\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - 2*z + 2*z)*(1205*z**3 + 1200*z**3 + 387*z**3) to the form w*z**2 + b*z**4 + h + a*z**3 + c*z and give b.\nAnswer: -8376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z - 8 = 0. Suppose 2 - 6 = -z*k. Suppose 0 = i - k*c - 1, -4*i + 6 = 5*c - 37. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 650 - 654. Let n = -3.02 - -0.02. Which is the smallest value? (a) -1\/3 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v + 15. Let f(t) = 7*t + 15. Let d(r) = -7*f(r) + 6*l(r). Let c be (70\/(-1))\/7 - -5. What are the prime factors of d(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - l)*(1576 + 2586 + 1210)*(l + 0*l + 0*l).\nAnswer: -5372*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132601772 by -6.\nAnswer: -66300886\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16920 and 66?\nAnswer: 186120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/12 - (33396\/(-72) + 20) is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232523.\nAnswer: 232523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 5*n + 4. Suppose 0 = 9*v - 1404 + 1512. Let p(f) = 2*f**2 + 12*f - 10. Determine v*u(i) - 5*p(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2651, 5203, 7753, 10301, 12847?\nAnswer: 15391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1069 from -2773.\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 187 - 2*h**2 + 187 - 3*h**2 + 115*h**3 - 113*h**3 + 0*h**2.\nAnswer: 2*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13460 - 12829.9. Round p to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -4. Let b(x) = x**3 + 8*x**2 + 5*x + 6. Let i be b(c). Suppose 2*w - i = -2*w. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -333762 != 4\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 1087*p + 3. Let k be j(0). Factor 0 + 0*l**4 + 2\/11*l**5 - 8\/11*l**k + 0*l + 0*l**2.\nAnswer: 2*l**3*(l - 2)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/10*(-1045)\/25916.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**3\/3 + 4*m**2 + 6*m - 3. What are the prime factors of a(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppfpfpbflbffbbp. What is prob of picking 1 l and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1752 + 1796. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - x. Let p be m(-1). Suppose p = -3*y - 0*y. Factor 0*c**2 + 0*c**2 - c + y*c - c**2.\nAnswer: -c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*x = -128*x + 345933. What is the highest common factor of 126 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 3006.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/48*26*(-82)\/(-3198)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.2 + 104.8. Let a = g - 116.8. What is the third smallest value in a, -0.3, 5, -14?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/4 (b) -1 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 83740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from ecwhhcwccw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2171 + 2178. Let m(j) = 5*j**2 - 21*j + 15. Calculate m(i).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -3, -5 in increasing order.\nAnswer: -5, -3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -4, -2, -7.\nAnswer: -43, -7, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**3 - 93*a**2 + 250*a + 6. Let f(m) = 10*m**3 - 189*m**2 + 500*m + 13. Let x(p) = -6*f(p) + 13*h(p). Solve x(t) = 0 for t.\nAnswer: 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 6. Let k = 8 - m. Suppose -3*f = -6*f + 15. Solve 8 = f*s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 310161 + -183962. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -974024362, -1948048723, -2922073084, -3896097445?\n\"Answer: -974024361*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z - 112 = -29*z. Suppose 20*m - z - 48 = 0. Calculate the remainder when 26 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28034888?\nAnswer: 2, 7, 79, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 132455, -5, 0 in increasing order.\nAnswer: -5, 0, 132455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 417 (b) 1141843 (c) 0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25725392 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0 + (4 - 4 + 2)*(8 + 0 + 0))*(4*u + u - 3*u).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22492\/5627 - 38\/331. Let l = -496\/119 + z. Is -10 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4050 (base 6) to base 11.\nAnswer: -743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330220 (base 4) to base 2.\nAnswer: -1111100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*2\/(2\/(-3)). What is the second smallest value in -2, g, -113?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5 + 21)*(3 + 0 + 0)*(-8 + 8 - 6*a + (-2 + 2 + 2)*(-a + 3 - 3)).\nAnswer: -192*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -12591 smaller than -106.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 2*f - 3. Let y(c) = -3*c**2 + 6*c - 8. Let m(u) = -11*k(u) + 4*y(u). Give m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3284634334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, -4 in decreasing order.\nAnswer: 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(85)*-1 + sqrt(85))\/sqrt(5).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*q - 7 = b, -5 + 13 = -4*q + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) - (-8)\/2. Suppose 4*s + 7 + 12 = -g*t, -3*s = -t. Let m = t - -9. What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36674772 divided by -12224924\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, b: 7}. Give prob of picking 2 b.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3103*m + 1442*m - 2759*m to the form a + b*m and give b.\nAnswer: -4420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 3\/7 (b) 3\/40 (c) -2 (d) 3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/55 and 18\/48475.\nAnswer: 533225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 8, 2*w + 5 = -3*o - 5. Calculate the remainder when 180 is divided by 36\/54*(-141)\/o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**4\/7 + 128*l**3\/7 - 668*l**2\/7 - 3872*l\/7 + 4416\/7 = 0.\nAnswer: -4, 1, 12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-33) + (-16)\/(-44)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*z**3 + 480*z**2 - 1260*z - 400.\nAnswer: -5*(z - 10)*(z - 4)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.6383ug in milligrams?\nAnswer: 0.5786383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5 + 2727*i**4 + 2063223*i**3 + 272418205*i**2 + 2886684528*i - 11167745580 = 0. What is i?\nAnswer: -1282, -151, -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -66. Let b(g) = 3*g**2 + 5*g - 29. List the prime factors of b(c).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 9. Let j(t) = 8*t - 2*t - i*t + t**2. Let d(x) be the third derivative of -x**5\/10 - 16*x**2. Determine d(j(c)).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from {u: 3, h: 9}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -196*l - l**3 - 4*l**4 - l**4 - 7*l**2 - 4 + 3*l**3 + 196*l in the form h*l**3 + k + y*l**2 + w*l + s*l**4 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 69 = 4*m + 2*n, 0 = -3*n + 9. Let u be 3 + (1 - -1) - -1. Suppose 0 = 5*w - k - m, -5*k - 15 = -w + u*w. Solve -16 = -w*x - 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9379 > 9477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Suppose -c*b = 2*b - 248. Suppose 0 = -3*t + 13 + b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1563\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -73823244 divided by -142\nAnswer: 519882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3*6\/81)\/((-31)\/(1488\/160))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -16, -46, -108, -214, -376?\n\"Answer: -2*u**3 + 2*u**2 - 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 1, b: 2, x: 1, v: 1, l: 1}. What is prob of picking 1 b and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.5. Let p = 0.6 + x. Let b = p + -0.09999995. Round b to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 8*5\/10. Let h = p + 9. Find the first derivative of -13 - 5 - h + 17*q + 3 wrt q.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + 3*x - 1473 + 2409 - 2*x**2 - 1202 to d*x + z + n*x**3 + p*x**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 - -71. Let t = d - -29. Suppose -8 = l - t. Solve 2*c + 3*o = -19, -o - 3 = l*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75177929 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*u + 402*u - 101*u - 93*u - 102*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1)*15\/(-50)*10)\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12507679.\nAnswer: 12507679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 10 = 2*d. Let u(g) = -2*g - 1. Let b(f) = f - 3. Let n(t) = -t + 4. Suppose -18 = -5*r + 7. Let y(s) = r*b(s) + 4*n(s). What is d*y(i) - 3*u(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 19*m**2 - 31*m + 35. Give g(17).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 26*s**2 + 2*s + 54. Suppose 19*g + 156 = 13*g. Let h be o(g). Solve -h = -2*k - 0*k - 2*z, 0 = 4*k + 2*z - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, 0.225, -8, 4, -4, 0.156?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80070071.\nAnswer: 127, 630473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171.4083ng to grams.\nAnswer: 0.0000001714083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17053377 a multiple of 1266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**4 - 9*d**3 - d - 2. Let m(y) = 1155*y**4 + 2371*y**3 + 1293*y**2 + 69*y - 1. Let n(u) = -2*f(u) + 2*m(u). Factor n(k).\nAnswer: 2*(k + 1)**2*(34*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -7)\/((-1)\/26). Solve 0 = -4*s + q - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 5*k + 0*k + (4*k - 3*k - 3*k)*(-3 + 3 + 1) + (0 + 1 - 4)*(9*k - 10*k - 17*k).\nAnswer: 50*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 9053054563*k + 4526527306*k + 4526527257*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2417 or 2416?\nAnswer: 2416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99741083, 99741085, 99741087?\nAnswer: 99741089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 3*p - 4*s + 40 - 11 = 0, 40*s = -5*p + 315 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 l when four letters picked without replacement from lllllklllkllllkl.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n - 232 = -4*j, -4*j - 4*n = -260. Calculate the remainder when j is divided by 9\/30*(-8)\/12 - 352\/(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7*r + 8*r = 0, 4*r = -i - 3. Solve 3 = 4*d - i, -4*j = 5*d + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21924, -87774, -197520, -351162?\n\"Answer: -21948*l**2 - 6*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57.9 in 20.3527, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2, -139, -0.13, -3?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a century?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45150 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/3 - 0. What is the closest to h in 4, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 83. Let s be j(0). Suppose 0 = -5*n - s + 13. Let u = 1 - n. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a9 - -19?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -18 (c) -1.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 26*o**2 + 44*o + 16. What is the units digit of y(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let h(s) = 31*s - 118 + 57 + 66. Let k(a) = 15*a + 3. Let r(l) = 3*h(l) - 5*k(l). Calculate x(r(n)).\nAnswer: 324*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2023 in -0.2, -1, 1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*j**2 + 44*j**3 - 18*j**3 - 28*j**3 as h*j**3 + f*j**2 + c + m*j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -603 - -a?\nAnswer: -5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.03, 1, -4\/7, 0.44.\nAnswer: -5, -4\/7, 0.03, 0.44, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -100*n - 4149. Determine m(-42).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*a = -338*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, 1, 7, -2\/97?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -53, 81, 1\/4, 2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p + 2*p**2)*(4 - 5 - 3 + (-2 + 4 - 1)*(3 + 4 - 6) - 4 + 3 + 3 + 4 - 3 - 2 + 68 + 61 - 116) in the form l + m*p**2 + o*p and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b - 3*b**4 - 2*b**4 + 3*b)*((3*b - 2*b + b)*(-4 + 0 + 2) + 6*b + 2 - 2).\nAnswer: -10*b**5 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggxxgggxx. Give prob of sequence xg.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**10)**(-3\/2) assuming v is positive.\nAnswer: v**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -924 + 1897\/2. Let w = 151499539\/14 + -10812166. Let i = w + -9223. Calculate the common denominator of i and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 808 and 202?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w - 4*y = -4, 0 = -2*w + 2*y. Suppose 0*f - w*f + 4 = 0, 0 = z - 2*f - 17. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v**3 - v**2 - v. Is m(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 = 2. Let q(h) be the third derivative of -h**6\/60 + h**5\/30 - h**3\/6 - 24*h**2. Let d be q(b). Solve -8 = -d*m + m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6732.6 rounded to the nearest ten?\nAnswer: -6730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/5 - 3 - 11. Let v(a) = -2*a**2 + a - 1. Let u be v(1). Let b be u\/i*2*3. Solve 2*d - 8 = 3*s, -s + 11 = 3*d - b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 428. Let j(c) = c. What is r(j(h))?\nAnswer: -2*h - 428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254 + 431025.0686.\nAnswer: 431279.0686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60858940 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -113d8 + -1ba?\nAnswer: -115b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (59\/1 - 1)*(-344)\/16. Suppose l + 2458 = 5*n, -2*n - 4916 = -0*l + 2*l. Let i = m - l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*u + 554, -157*f + 160*f - 4*u - 296 = 0. Solve -103*r + 40 = -f*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2*i - 20, 3*i = 122*h - 123*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, a: 1, q: 7, f: 4, x: 1}. What is prob of sequence qhqx?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 127224 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103948 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 13*r**2 - 29*r + 21. Let f be h(-15). Let t(w) = w**2 + w + 1. Let i(k) = 5*k**2 + 10*k + 9. Let g(p) = f*t(p) - i(p). What is g(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197839186 to the power of 1\/2, to the nearest integer?\nAnswer: 14066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 671*y**5\/20 - 271*y**4\/12 + y**2 - 4*y - 31. What is the third derivative of n(g) wrt g?\nAnswer: 4026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (sqrt(125) + (2*sqrt(125) - sqrt(125)) + 2 - ((-2 + sqrt(125) - sqrt(125)) + 5))**2.\nAnswer: -20*sqrt(5) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-11\/3)\/m)*m)\/(m\/m**(-17)) assuming m is positive.\nAnswer: m**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0 - 1 - 1)*((7 + 9 - 14)*(f - 6*f + 3*f) + 21*f - 8*f - 6*f).\nAnswer: 3*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2674209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -31*u**5\/60 - u**4\/24 - 107*u**3\/6 - 45*u**2. Differentiate r(z) with respect to z.\nAnswer: -62*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {t: 1, x: 2, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = -t + 12*b + 576, 0 = 4*t - 3*b - 2249. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 849760, 6798069, 22943484, 54384559, 106219848?\nAnswer: 183547905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m + 14. Let k = m + -18. Let d(s) = 12*s**2 - s + 6. Is d(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:00 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2808 and 7020?\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 243077 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(132))\/(sqrt(192)*1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45528b0 - -3?\nAnswer: -45528a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 48. Suppose -k - 5*s + 71 = c, -5*k + 4*s + s = -205. Suppose 6*q - 2 - k = 0. Solve -7 = -3*r + q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1264 and 0.32283159.\nAnswer: -1263.67716841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and 3.9.\nAnswer: 3.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 148, 343, 626, 1003?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31622623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*p, 30 = 5*p - 7*p + 5*r. Let b(z) = 230*z**2 + z - 1. Let y be b(1). Calculate the greatest common divisor of p and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7241176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 30*f + 5 + 4*f**4 + 3 + 16*f**3 - 2*f + 36*f**2.\nAnswer: 4*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + 3*a)*(15*a**2 + 35*a**2 + a**2)*(-5 + 5 + 5*a**2).\nAnswer: -510*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -554396456*u**2 + 4*u + 128212945.\nAnswer: -1108792912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 907449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 - 159. Let v(w) be the third derivative of 1\/16*w**4 + 0 + 3*w**2 + 0*w**3 - 7\/160*w**m + 1\/16*w**5 + 0*w. Find k, given that v(k) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f**3 - f - 1. Let i = 773 - 774. Give g(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*z + 5*v + 16505, 0 = -4*z + 5*v + 13201. Suppose -4*b - 67*g + 69*g + z = 0, -b - g + 829 = 0. What are the prime factors of b?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 276936832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - w = 130. Suppose 5*u - w = 19. Suppose -11*q - 42*q + 111 = 58*q. Calculate the highest common divisor of u and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6345954 centimeters?\nAnswer: 6345.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -158. Suppose 2*j - f = -2*j. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00106482911 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -40. Which is the closest to 0.2? (a) -5 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600\/(-72) + 7 + (2 - 122\/(-6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.3 (c) -2\/21 (d) -0.058 (e) -1\/5 (f) -112\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.009081cm to meters.\nAnswer: 0.02009081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3710, -14791, -33230, -59003, -92086, -132455, -180086?\nAnswer: -234955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9788590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeppy. Give prob of sequence pp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let p(t) be the first derivative of -15\/2*t**2 + 0*t - 12. Determine p(n(x)).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974.493 days to hours.\nAnswer: 23387.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o - 2*f = -36*o - 10, -5*o + 3*f = 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**(-2\/7)\/x)))\/x**(-2\/5))\/(x**0)**3*x**(-4)*x**(-3\/2)\/x*(x**(-1\/4))**(-28\/5) assuming x is positive.\nAnswer: x**(-419\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -19*s - 42. What are the prime factors of y(-17)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6387267 to the nearest integer?\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 49*v**2 - 28*v + 79. Let x be z(25). Which is the third smallest value? (a) x (b) -0.181 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 880?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -283 and -4080.13605845.\nAnswer: -4363.13605845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -1. Suppose -4*s + u + 7 = 0. Suppose 0 = -50*g + 47*g - 9. Put g, 1, s in decreasing order.\nAnswer: s, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.610642 rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 6669 and 6673 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(98) - (sqrt(98) + -4))*-1 - (-1 + sqrt(98))**2*-3) + 3.\nAnswer: -42*sqrt(2) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 19. Let f = -15281 - -15308. What is the lowest common multiple of f and w?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4546 + 4550. Solve 5*v = 6*m - m - 5, -3 = -x*v - 3*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) + 24\/9. Suppose 4*p + 3*l = -18, x*p + 4*l + 21 = 4. Let w(d) = d - 3 - 3*d - 2 + d. Calculate w(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669234380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15707.478s in minutes?\nAnswer: 261.7913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**2 + 3. Let q be 8*3\/(-36)*-3. Let m(o) = -3*o**q - 174 + 83 + 82. Calculate m(c(v)).\nAnswer: -12*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 1. Let p(i) = i**2 + i - 1. Calculate p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, 5, -0.0795, 0, -11, -2\/13, -1\/4?\nAnswer: -0.0795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 99 = 19. Suppose -4*s = u, -39 = -3*z + 4*s + 26. Calculate the highest common divisor of 30 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-7)\/z)**(-2\/21))**(2\/33))**(-7) assuming z is positive.\nAnswer: z**(-32\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 16*x + 28. Let y be h(-1). Let b be ((-220)\/(-275))\/(-2 - y\/(-5)). Let 0 + 8\/7*r - 72\/7*r**b + 162\/7*r**3 = 0. Calculate r.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*h = -139*h - 298*h + 90*h + 7740 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 39\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11829 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 305, 311, 329, 365, 425?\n\"Answer: z**3 - z + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i + 5. Let t be q(3). Put t, 4, -3 in decreasing order.\nAnswer: 4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -38*j + 269. Let p be w(7). Let c be (p\/(171\/(-2)))\/(321\/(-963)). Find y, given that -4\/19*y**3 + 0*y + 2\/19*y**4 + 0*y**2 + 0 + c*y**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 5*u - 1038937 = 0, 101*g - 259743 = 98*g + 3*u. List the prime factors of g.\nAnswer: 2, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 3*o**2 - 2. Let g(a) = -2*a**3 + 4*a**2 - 3. Let m(q) = 2*g(q) - 3*w(q). Factor m(c).\nAnswer: -c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440 is divided by 198?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -5. Let w(q) = -q + 4. Let d be w(-6). Suppose 0 = t - 3*j + d, -4*j + 10 = -5*t + j. Solve -k*a + 15 = -t*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 - 19 = -m, 0 = 5*m + 4*w - 46. Let h be (6\/m)\/(12\/(-8)). Which is bigger: 1\/6 or h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 354 - 5*g + 319 - 702 - g**3 to j*g**2 + c*g + f*g**3 + y and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 5, e: 2, i: 1, w: 2, x: 1}. What is prob of picking 1 w and 3 s?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwawkuggkukkuq. Give prob of picking 2 u and 1 a.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*40*((-5)\/55)\/((-40)\/110).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l - 3*l + 4*l)*(l**2 + 2*l - 2*l) - 15*l**3 - 7*l**3 + 4*l**3 to the form t*l**2 + m*l**3 + n + y*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2161857 (base 9) to base 3.\nAnswer: 2012001221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/8 - 7*q**3\/6 + 7*q**2. Let f be s(-3). Suppose -16 = -3*b + f. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/355 and -47\/37914.\nAnswer: 189570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35459 and 6611?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73886635*l**2 - 2*l + 26667739.\nAnswer: 147773270*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 74*a**2 + a + 1. Determine y(-1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**8\/42 + 136*f**7\/105 + 1153*f**6\/60 - 103*f**5\/30 - 901*f**4\/12 - 289*f**3\/3 - 7435*f**2. Let y(c) = 0. Calculate c.\nAnswer: -17, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6460920 and 14?\nAnswer: 45226440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r + 8. Let s be (1 - (-2 - r))\/(-1). Suppose -3*g - 5 = -5*p, 0 = -3*p + p + 2. Put 5, g, s in descending order.\nAnswer: 5, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 3*z**2 + 8*z + 621 - 613. Let m(s) = s**2 - 8*s + 6. Suppose 0*i = 4*i - 3*t - 12, 3*i + 5*t - 38 = 0. Let j be m(i). Calculate f(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1342\/(-4)*(-4)\/2. Suppose 14*u - 3*u = d. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3552662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 695*h**2 - 2 + 320*h**2 + 294*h**2.\nAnswer: -81*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -380 equal to 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086306 divided by 6?\nAnswer: 181051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -42. Find the third derivative of 3*y**2 - 2*y**2 - 10*y**o + 9*y**4 - 2*y**2 wrt y.\nAnswer: 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 155488\/(-3784) - (20\/22 + -1). Let z(d) = 10*d + 9. Let g be z(-5). Is x at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4518744.898 rounded to the nearest 10000?\nAnswer: 4520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10336 = 88*k + 64*k. What is the least common multiple of k and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = x. Let t(r) = -2 + x - 4*r**2 + r + 9*r**2. Let w(d) = 11*d**2 + 2*d + 4. What is 13*t(o) - 6*w(o)?\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147141103 by 8655359.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 24*c**3 - 6*c + 25*c**3 + 2*c - c**2 - 2*c**2 - 50*c**3. Calculate o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 3*g**2 + 12*g + 13. Calculate x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12118421.586 to the nearest one thousand.\nAnswer: 12118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Let d(x) = 2*x**2 + 6*x. Let f(c) = 13*c**2 + 143*c. Let y(v) = -5*d(v) + f(v). Calculate y(h(z)).\nAnswer: 3*z**2 - 113*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -177*u**4\/4 + 212465*u**3\/2 + 113087*u**2\/4 - 144064*u + 9604 = 0.\nAnswer: -4\/3, 4\/59, 1, 2401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -842, -814, -778, -740, -706, -682, -674?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7905, -85, -64 in increasing order.\nAnswer: -7905, -85, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(846*i**3 - 849*i**3 - 7 + 2).\nAnswer: -3*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41, 0.03, 23\/4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a + 5*a - 2*a)*(0 - 3 - 6) + 2*a + 2*a - 7*a)*(1 - 1 - 2).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/2 + 45826207*z\/2 + 45826209 = 0. What is z?\nAnswer: -2, 45826209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, v: 3}. What is prob of sequence vav?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, -0.4, -0.08, -4\/3, 0.3, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1757 + 1b?\nAnswer: -173b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/6478710 and -55\/27210582?\nAnswer: 136052910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 2:50 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -1. Suppose 7*a = c*a - 256. What is the remainder when a is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2 - i + 1. Let f(r) = -7*r**3 + 24*r**2 - 39*r + 22. Let w(o) = -f(o) + 6*u(o). Factor w(t).\nAnswer: (t - 16)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1990, -1843, -1684, -1513, -1330?\n\"Answer: 6*x**2 + 129*x - 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63758 is divided by 5267.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 403*c**2 - 3*c - 6. Let z(x) = -2420*x**2 + 17*x + 34. What is 34*i(n) + 6*z(n)?\nAnswer: -818*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9202937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98094 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 134*m + 2684. What is the smallest common multiple of 1 and r(24)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 1\/3, 1, 0, -2 in increasing order.\nAnswer: -2, -0.08, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43124331 - 4?\nAnswer: -43124340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23867444 by 5966861.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 23*v + 307. Let z be s(-13). Let b(q) = -4*q**2 + q. Let g(a) = -6*a**2 + a. Give z*b(c) - 5*g(c).\nAnswer: -2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -21. Let h = l - 8. Which is the third smallest value? (a) 1\/5 (b) -0.6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*11\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/4, -22.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -11*b - 6612. Let i = b + 491. Calculate the greatest common factor of i and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 22*i + 35)*((3 - 4 - 1)*(-4 + 0 + 2) + 0 - 5 + 3).\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -547 + 946. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (39\/13)\/(1\/1). Suppose r + 4 - 3 = 2*h, -5*h = -3*r - i. Solve -4*f - 2*c = -20, 5 = -h*f + f - 4*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 - 189. What is the biggest value in t, 12, -9, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 969035.5 years?\nAnswer: 9690.355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.110577?\nAnswer: 0.552885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+0.033263\nAnswer: -0.266737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 + -0.05. Round h to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**2 + 6*s + 12. Let k be f(8). Let r = -215 + k. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 19*z**2 - 4*z + 2. Let s be u(2). Suppose -5 = -t + 5*n + 8, -s = -4*t + 2*n. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 295*l - 2130 + 4255 - 2125. Let q(d) = -d**2. Calculate f(q(i)).\nAnswer: -295*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -8*h + 17. Solve -5*t + 17 - h = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212 - 1102?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 1 + 3 + s - 4 - 5*s.\nAnswer: 2*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*m = -1156, h - 2*m = -4*m + 575. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -245*r. Let h(g) = -g**2 + 4*g - 4. Let c(b) = -2*b**2 + 7*b - 7. Let x(p) = -4*c(p) + 7*h(p). Calculate x(z(m)).\nAnswer: 60025*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-100)\/(-16) + (-2)\/8. Solve -4*t + r = -j - 0*t, 5*t = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/8*58\/(-29).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539, 547, 569, 611, 679, 779, 917?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 8) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from iaaijujajjuaj?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -7*j + 4*j. Suppose 2*y = -2*y - 2*q + 22, 3*y = -5*q + 34. Sort j, -2, y in decreasing order.\nAnswer: y, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iebi when four letters picked without replacement from rrhbhehbhiii.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**6\/48 - 11*l**5\/40 - 17*l**4\/16 - 23*l**3\/12 - 29*l**2\/16 - 7*l\/8 + 26. Factor y(b).\nAnswer: -(b + 1)**4*(b + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 481 by 40.\nAnswer: 481\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q**2 + 11*q. Let o be (-4 - (2 + -8))\/1. Let s(g) = 13*g**2 - 11*g. Let l(m) = o*s(m) + 3*x(m). Find the second derivative of l(f) wrt f.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*d*z**2 + 4*d*z + 4*z**2 + 2*z wrt d.\nAnswer: -54*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 5. Let q be a(6). Suppose -4*f - q = 1. Let d = 0 + -1. Is d less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-52))\/((-131)\/(-1703))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.7 - -1.7. What is the closest to 0 in 0, a, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4151.06828 + -0.1.\nAnswer: 4150.96828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321413 (base 5) to base 11.\nAnswer: -8181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - r + 7*r - 4*r - 4*r**2 + 7 to t*r + y*r**2 + b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 31*j**3\/3 + 346. Let b(v) = 62*v**2. Calculate c(b(p)).\nAnswer: 119164*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -1. Let s = -0.44 + k. Round s to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) - 2\/4. Let y(n) = 4 + 1 - 6 - 61*n + 64*n. What is y(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -667*y + 507*y - 800 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.184 * -2248.5.\nAnswer: -2662.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3364 times 14\nAnswer: -47096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 38.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 125565.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277703964?\nAnswer: 2, 3, 61, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/70*(-4)\/6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-22)\/o**17*(o*o\/((o\/o**(-2\/37))\/o))**44 assuming o is positive.\nAnswer: o**(1725\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2862 + -2861.999998747. Round s to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*r + 1356, 3*r = 2*q - 580 - 325. Suppose -3*z = -5*z + q. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let p be (x - (-3 - -7))\/(2\/(-5)). Solve -p*t - 2*s - s + 19 = 0, -21 = -5*t - 2*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 3*u - 220. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -2746, -9255, -21914, -42769?\nAnswer: -73866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(5\/3)))*x**(-1\/10))\/((x\/x**(-1))\/(x**(-5)*x)) assuming x is positive.\nAnswer: x**(-103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = g - 4*l, -2*g - 5*l = -3*l - 16. Let t be (-28)\/(-2)*(g + -1) + 1. Let u = t - 24. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -32*u + 462 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294)*-1)\/sqrt(7))\/(2*sqrt(600) + sqrt(600)).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-3\/2)*h**10*(h**3*h)**(9\/5) assuming h is positive.\nAnswer: h**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 298? (a) 5 (b) -0.3 (c) -2\/3 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -105*w**2 + 8. Let y(i) = -455*i**2 + 35. Let l(g) = -35*b(g) + 8*y(g). Let t(m) = 75*m. Determine t(l(v)).\nAnswer: 2625*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5353115, 5353113, 5353109, 5353103, 5353095, 5353085, 5353073?\n\"Answer: -a**2 + a + 5353115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 59?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -0*y + 2*y + 5*v, -2*v = -3*y - 148. Let g = 40 + y. Let r(x) = -6*x - 45. Let k be r(g). Solve 4*u - k = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135758479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/38*7144\/(-30832)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2826 and -61\/331920?\nAnswer: 52111440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 1. Let s be m(1). Let h(x) = -4 + 2*x**s + 4*x + 3 + x - 3*x**2. Let q = -3 + 8. Calculate h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.3, 1, 0, 25 in increasing order.\nAnswer: -0.3, 0, 0.2, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 - 3.224. Let b = 3.924 + v. Put 3, -3, -6, b in decreasing order.\nAnswer: b, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 2755?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 262?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a + 2909?\nAnswer: 2934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -14. Let d be (14\/(-21)*2)\/(28\/t). Let r be (0 - 1)*(2 + -1). What is the nearest to d in -3, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 52*c**2 + 100*c.\nAnswer: c*(c - 50)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**2 + 16 + 13*c**4 - 3*c + 3*c**3 - 26*c**4 + 14*c**4 - 10*c**2 in the form o*c**4 + i*c**2 + s*c**3 + w + r*c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200)*2)\/(sqrt(1440) + (sqrt(1440)*-3 + sqrt(1440) - sqrt(1440)) + sqrt(10)).\nAnswer: -24*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.608320878 rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -17\/4, 4, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990265205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252474 and 2008.\nAnswer: 253483896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a + 12. Suppose -5*u + 4 = 2*k, -7*k = -3*k + a*u - 20. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -11 + 3. Solve -4*i = p*d - 4, 0*d = -d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 1133*k - 296*k - 191*k as h*k**2 + u + q*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201121212221 (base 3) to base 12.\nAnswer: -167667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 5*c**2 + 3*c + 53*c**2 + 16*c**2 - 53.\nAnswer: 74*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -2, 5 in increasing order.\nAnswer: -13, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 252\/(-62) + 2 - -2. Suppose -80 = -29*h + 27*h. Let y = -40 + h. Is x >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 51. Let r be c(16). What is the second derivative of -622*l + 1 - 22*l**3 + 645*l - r*l**3 wrt l?\nAnswer: -150*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 4*m - 6, 3*m - 12 = -12*z + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (348\/(-96))\/(-29)*8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 185*s - 193*s. Solve -6 = s*n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 3, m: 1, y: 1, s: 1, r: 3}. What is prob of sequence ms?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g + 2 = 0. Suppose -g*o - 2 = 4. Is ((-21)\/(-6) + o)*178 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/176)\/((-54)\/(-99))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609722.82 days in weeks?\nAnswer: 87103.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78684\/(-3160) + 2\/20*-1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2508*g - 6439*g + 1766*g to i + w*g and give w.\nAnswer: -2165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3471 and 4539.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1088*b - 535*b - 543*b - 33 - 36)*(-3 - 5 + 6) to the form s*b + f and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*m + 11. Let l(g) be the first derivative of -g**3\/3 - g**2\/2 + g - 4. Let r(x) = 3*x**2 + 4*x - 6. Determine m*l(c) - r(c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 q when four letters picked without replacement from {j: 15, q: 4}?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, g: 3, a: 3}. Give prob of picking 1 g and 2 z.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13339 - -1210. List the prime factors of m.\nAnswer: 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 3. Let y be k(-6). Let g(n) = 15*n + 1. Find the common denominator of -7\/5 and g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -3)*(2 + -2). Suppose 0 = -3*k - 5*f - 24 - 10, o = 5*f + 25. Which is the smallest value? (a) -0.2 (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101 + -100?\nAnswer: -1110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(19)*-2 + sqrt(19) - (sqrt(57)\/sqrt(3) + 2))**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74168 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125*i**4*r + 34*i**4 + i**3*r + 2*i**3 - 420*i**2*r - 5*r + 3 wrt i.\nAnswer: 3000*i*r + 816*i + 6*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58394 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 2*k. Let i be r(-2). Suppose 0 = -5*c, -4*y + i + 16 = 5*c. Suppose -200 = -2*g - 3*j - 33, y*g + 4*j = 421. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1216 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.61355696 rounded to 1 dp?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 682 in 2\/9, -0.6, 327, -4\/9?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5459075 to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.2, 1\/16, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 - -13357.149033561\nAnswer: 13375.149033561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*x - 0*x - 200, -2*w - 3*x = -100. Suppose l - w = -4*l. Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/83, 115, -0.021, -1, -111\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2 - x - 2. Let k(a) = -a - 21. Let h be k(-19). What is m(h)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 866a?\nAnswer: -866a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*g**2 - 82*a**2*g*x**3 + 5*a**2*x**2 + 5*a*g*x**2 - 3*a + 7*g**2*x**4 wrt x.\nAnswer: -492*a**2*g + 168*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1233*i - 30. Is a(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + -5. Let c be s\/81 - 58\/(-18). Suppose c*a = -a + 40. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 + 8 + 40 + 62)*(3*m**2 + m**2 - 5*m**2)*(-m - 5*m + 5*m - 2*m - 5 + 5 + (-1 + 1 + 1)*(-2*m + m - m) - 2*m + 4*m - 3*m - m + 3*m - m).\nAnswer: 820*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, 1 d, and 1 x when four letters picked without replacement from {o: 5, x: 5, d: 4, h: 2, l: 3}?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14663263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 12. Suppose 2*i - p = 2*u, -3*u + 3*i - 6 = -7*u. Which is the closest to u? (a) -4 (b) 1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/7 - 180*w**3\/7 + 80*w**2\/7 + 510*w - 1008 = 0. Calculate w.\nAnswer: -7, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 4. Let n(w) = 121*w. Let m(b) = -8742*b. Let p(v) = -3*m(v) - 217*n(v). Calculate p(g(t)).\nAnswer: -31*t - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v + 13 - 13.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f + 3. Let y be g(-4). Let i = 21 - y. What is the first derivative of -5*s**3 + 6*s**3 - i*s**4 - s**3 - 9 wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)*a)**(-42))**29\/((a**(-5)\/(a*a*a\/(a**(-2\/7)\/a)))\/((a\/(a**4*a))\/(a\/(a\/a**(2\/7))))) assuming a is positive.\nAnswer: a**(-1619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 22 + 3*j - 16 + 2*j**2 - 7 as r*j**3 + p*j + k*j**2 + q and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.16 - 41. Let b = z + 0.54. What is the smallest value in b, 0.26, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:21 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976 <= 7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Let d(s) = s + 8. Let u be d(-7). Suppose 4 = j + u. Solve h*t - 6 = -0*i - i, -2*i + t = -j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:14 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 142*d + 3. Let k(b) = 282*b + 7. Determine -2*k(j) + 5*s(j).\nAnswer: 146*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1507.8 + 1508.8. Let w(u) = u - 4. Let q be w(3). Which is the closest to 3? (a) -5 (b) f (c) 1\/3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18895 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -581580.058 + 581702.8477564. Let q = -32.2102549 - k. Let o = -155 - q. Round o to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541.2 minus -0.1?\nAnswer: 1541.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.34051\nAnswer: 1.36204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 11. Let h be (3\/6)\/(1\/32). Suppose 4*k - 4*w = 20, -5*k - w = -3*w - h. Solve -2*t = y - 3, 5*t + k*y - 4 - 5 = c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55881 - -988.\nAnswer: 56869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -3483.21.\nAnswer: -3483.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - 7*o - 4*o)*(-8*o + 1 - 1 + (4*o - o + 0*o)*(3 - 6 + 0) - o - 2*o + 5*o) as t*o + f + p*o**2 and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 + 4*z**4 - 4*z**4 + (z**4 + z**4 - z**4)*(-37*z + 80*z + 21*z).\nAnswer: 60*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5596.9 to the nearest 10.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 38*n**2 - 2*n + 95. What are the prime factors of w(9)?\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(2 + 3*b - 2) - 3 + 2 + 4*b - 3.\nAnswer: -11*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s + 104. Let x(z) = -4*z - 52. Let f(r) = -2*i(r) - 5*x(r). Let d be f(-24). Solve 5*p = 4*t - 17, -4*t = -2*t + 2*p - d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -229*p**2 + 124*p**2 + 195*p + 171*p + 107*p**2.\nAnswer: 2*p*(p + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1571 and 54832613?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98.28 - 6. Let u = -95 + c. Round u to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50456 - 50465. Let s = 15 - 10. Sort g, -1, -3, s.\nAnswer: g, -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -111) + -1130 + 1056.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 58079.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**3 - 6*j**2 + j. Let v(g) = g**3 - g**2. Give c(x) - 6*v(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 35 - 28 - i + 63.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + (-3 - 0 - (1 + -6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-162)\/(-12))*(-3)\/2. Let h = -0.1 + -0.1. Let s = -1441 - -1444. What is the fourth biggest value in -3\/8, s, h, c?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -943\/2*p - 1\/2*p**3 - 435 - 37*p**2 = 0.\nAnswer: -58, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - 148?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 - 601*i**2 - 2864*i - 1301. What is b(205)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/862 - 35699\/43962. What is the common denominator of l and 94\/15?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16057 + -1814422\/113. What is the common denominator of l and 34\/3?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000604302 to 7 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d + 0*d)*(-839*d**2 - 436*d**2 - 450*d**2 - 686*d**2).\nAnswer: 7233*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6180589 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-8))\/((-2)\/52). Suppose 0 = j*y - 24*y - 892. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -4. Let j = 11.279 - 13.279. Which is the closest to -0.2? (a) u (b) -1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96158453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9511 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 28*i - 33*i. Which is bigger: 11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 15 = -8*a, -3*b + a = -20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) - (sqrt(600) + (1*sqrt(600) - sqrt(600)) + sqrt(600) + sqrt(600)) - sqrt(600))\/sqrt(2)*6 - (-2 + 2*sqrt(12)*-1).\nAnswer: -176*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 - 1243*x**3 + 306 - 8883*x**3.\nAnswer: -10126*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2298069 divided by -9.\nAnswer: -255341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:32 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**3 + 0*f + 3*f - f - 2*f**3 in the form v*f + p + t*f**3 + i*f**2 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1168947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 8*d + 35 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4123 (base 5) in base 14?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**4 + 15*w**3 + 15*w**2 - 35*w - 30 = 0?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1315*f + 1026 = -1342*f. Let y(x) = -2*x**2 + 4*x - 5. Let m be y(5). Let a = m - f. Solve a*p = -16 + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 25*p**2 + 32*p - 16. Let f be k(24). Suppose -f = -5*o - 156. Let 2\/3*a**5 + 0*a**2 + 2\/3*a**3 + 0*a - 4\/3*a**o + 0 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-16)\/6 + 3)*1 and -46\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3141.309l?\nAnswer: 3141309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53017654?\nAnswer: 2, 3329, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -17656.\nAnswer: -27\/8828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(6 + -3) + 49. Suppose g = -2 - 0. Is -1*h\/4*g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2960099 and 3221.\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257848967 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*16\/(-4) - -9. Suppose b = w - 2250, g*w - 2375 = -b + 8875. Let x = w - 1243. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 29*t**2. Let j(n) be the second derivative of -n**6\/90 + 23*n**4\/6 + 20*n - 1. Let x(m) be the third derivative of j(m). Determine x(f(u)).\nAnswer: -232*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*w - 33, -2*w = -3*z - 5*w + 21. Which is the closest to z? (a) 0 (b) 2\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -4*p + 3*z, 0 = -p - 0*p + z + 40. Let s be (0 + -1 + 3)*(-6300)\/(-120). Suppose 34*l - s = 33*l. What is the remainder when l is divided by p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, 4, 2 in decreasing order.\nAnswer: 21, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 473892282*u**2 + 530211345?\nAnswer: 947784564*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 175449681 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21446.\nAnswer: 2, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.079, 4\/149, 0?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.53 - 0.4. Let k = 458.87 - 454. Let w = k + s. Sort w, -3\/5, -3\/4 in descending order.\nAnswer: w, -3\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 18. Let o = 11 - y. Let q be (-4)\/o*1\/(-2). Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-4)\/2) + 68 + -66\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/3 and -133\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66738 and 27089272?\nAnswer: 568874712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -858?\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 2*(sqrt(84) + sqrt(84)*-2 + sqrt(84)))*-6)\/((sqrt(84)*-1)\/sqrt(7)*2).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -4, -2, 1, 11, -25 in increasing order.\nAnswer: -25, -4, -2, 1, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/26*11\/(-3))\/(11\/(-660)*15).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**5\/180 + t**4\/72 + t**3\/9 + 4*t**2 + 6. Let n(s) be the second derivative of p(s). Solve n(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173376540605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/422529 and 37\/1143?\nAnswer: 1267587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 8. Let x be n(-6). Let a be (-1)\/(x\/4) + 1. Suppose 0 = -3*s + a*q + 21, 3*s - 4*q + 20 = 7*s. Solve 0*h = 2*h - s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 + 2 = 0. Let y be (-2)\/z*16\/(-8). Suppose -23 = -4*f - 3*m, -f + y*m = -2*f + 9. Solve -2*q = p + 2*q - 5, -25 = -f*p + 2*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 117672.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -684299.33 - -679812. Let x = -4439 - t. Let l = 51.4 - x. Round l to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 189. Let y(c) = 49*c**2. Determine y(l(s)).\nAnswer: 49*s**2 + 18522*s + 1750329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -13 + -2 + -25\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 4*u**3 - 3*u)*(-5*u - 1 + 1) + 2*u**4 - 3*u**2 + 3*u**2.\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 10.3. Let t = k + 0.3. Let p = 63 - 62. Is p <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 286*p. Let y(j) = -188761*j. Let n(b) = 1981*w(b) + 3*y(b). Let q(o) = -7*o + 50. Let k(t) = 3*t - 20. Let z(i) = -5*k(i) - 2*q(i). What is n(z(v))?\nAnswer: -283*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 139?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50450.09 rounded to the nearest 1000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1233.5 times 1.3\nAnswer: 1603.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3603206702?\nAnswer: 2, 19, 4990591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 52 = -108. Let y = d + -17. Calculate the highest common factor of 75 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -52\/5, 0.01, 91?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5 - 6 + n - 8 - 4*n. Let c be u(-7). Calculate the greatest common factor of 132 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 94.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (6 + 6 + -11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -1) + -38 + 45\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 2*n - 4*n - 2)*(-659*n**2 + 810*n**2 + 978*n**2) + (-3*n**3 + n**3 - n**3)*(2 - 4 + 1) to the form k*n + r*n**3 + o + h*n**2 and give r.\nAnswer: -1126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -32*t - 318. Let n be s(-10). Suppose -n*a - c + 3225 = 0, 6*c + 3223 = 2*a + 5*c. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1102053*c*u*w + c - 1917383*u - 2*w with respect to w.\nAnswer: 1102053*c*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*l + 15 = 0, 2*l + 2*l = -3*p + 35. Suppose p*u = -3*q + 1854, 6*u + 9 = 3*u. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -545346*l**2*s*x**2 - 4*l**2*x**2 - 1926*l**2 - 2*l*x - 1075*s*x wrt x?\nAnswer: -1090692*l**2*s - 8*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2400418 is divided by 479902?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2 - 2. Solve -s*c + 4 = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 4:51 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*j**3*m**4 + 2*j**3*m**2 - 16*j**3 - j**2*m**4 wrt m?\nAnswer: -1800*j**3*m - 24*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -462, -468, -474, -480, -486, -492?\n\"Answer: -6*i - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*n - 22193 - 5623 = 0 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Let c = 1 + f. Suppose -3*s = -0*s - c. Solve 0 = x - s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2668063024.\nAnswer: 2, 11, 157, 96557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m + 1710 - 1638 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/11 + 4451*r\/11 - 8898\/11.\nAnswer: -(r - 4449)*(r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-15)\/(-3))\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.19 - 2.19. Which is greater: w or -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37301556 divided by 6216926\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 + 291 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 33 + 0 + -70.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62 and 244674103.\nAnswer: 489348206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*s**4 + 7*s**3 - 22351*s**2 + 49488583 wrt s.\nAnswer: -12*s**3 + 21*s**2 - 44702*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 205015 > 3485265\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -652495 divided by 3527?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.7 + -69.4. Let z = u + 4.7. Let j = z - -29.21. What is j rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 20*d**5 + 322935944*d**4\/7 + 101493780*d**3\/7 - 830406392*d**2\/7 + 479790448*d\/7 - 73813920\/7 = 0.\nAnswer: -2306685, -2, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125719312?\nAnswer: 2, 70357457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + 2*s**2 - s**2 + s - s**2 - s + (2 - 4 + 1)*(3*s**2 + 4*s**2 - 5*s**2).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1989*i - 1991*i = 3*t + 18, -4*i - t - 16 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-13\/3)*n**(3\/2)\/n*n**(-1\/4)*n assuming n is positive.\nAnswer: n**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 3*g - 2, -6*s + s - 4*g = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:53 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -19. Let l = -0.7 + -0.3. Let d = -2\/15 + 1\/3. What is the closest to l in d, 0.3, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0 - -7) + 27 + 10 + -41\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -222a40 (base 12) in base 3?\nAnswer: -1000122100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-534)\/2848)\/(27\/504)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -22*r - 49. Calculate l(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/(-66) - 0) + 24\/(-36). Which is the second biggest value? (a) -2\/17 (b) s (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -8. Let z = 4 + b. Let p = z + 16. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26008 + (-4 - -4) + (4 - (8 - 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3*n = -5*k + 129326, -4*n = k + 64674. Is (-6)\/(-2)*k\/(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:25 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -87201*h**3 - 5*h**2 - h - 5. Let s be i(-5). What is s rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(10\/4)*(-9)\/270?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2005, 43, 12 in ascending order.\nAnswer: -2005, 12, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*o - 4)*(1 + 115*o + 81*o**2 + 107*o - 220*o).\nAnswer: -243*o**3 - 6*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f - 2*f - 5202 = 55*f - 2*f for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-867260)\/36050 + 120\/5.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjjm when four letters picked without replacement from {j: 7, e: 4, b: 2, m: 4, c: 1}.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-2 - -12)) + (-1 - 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 770 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.137 - -0.137. Which is the nearest to 0.2? (a) 2\/29 (b) -1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -10788?\nAnswer: 10790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 2 - u + 2*u + 3. Let z(f) = -f + 6. Let p be z(4). Suppose -p + 4 = -2*g. Give b(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**4 - 515736*w**3 - 21150492*w**2 - 181602608*w + 749086800 = 0.\nAnswer: -22, 3, 128975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/884 and 16\/7?\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i - 286. What is g(37)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 12:47 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-39 + 56 - -3)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 - -106.94. Round x to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.3 + -9. Put -0.2, 4, k in descending order.\nAnswer: 4, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-14))\/((-794175)\/444738)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 173?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/14)\/(k*k*k**1*k)*((k**(1\/2)*k*k)\/k*k)**(-36) assuming k is positive.\nAnswer: k**(-1317\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8992 divide 2480650016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 - 0.54.\nAnswer: -24.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/4 + 8*x**3 + 67*x**2\/2 + 9*x + 1. What is the hundreds digit of f(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 2*m**2 + m**2 + 3*m to z + i*m + r*m**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**3\/9 + s**2\/6 - 2*s\/3 + 18. Factor n(h).\nAnswer: (h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*v - v = -36, q - 8 = 3*v. Let d be q\/(-35) - 12\/(-5). Suppose 5*h - 60 = -4*f, -h = -d*f + 4 - 2. What is the highest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -314*327\nAnswer: -102678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 1 + 17 = 0. Suppose -130 = 2*q - v*y, -3*y + 6 + 61 = -q. List the prime factors of ((63\/(-6))\/(12\/q))\/1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (23 + -11 + 6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -4*o**7\/525 - 7*o**6\/300 - o**5\/75 + o**4\/60 + o**2\/2 + o. Let w(k) be the first derivative of n(k). Factor w(i).\nAnswer: -2*i*(i + 1)**2*(4*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1*((p*p**(-1\/2))\/p)\/p)**(-29)*((p*p**(-1)*p)\/p)**(-36)\/(p*p**1*p*p\/p**(-4\/9)) assuming p is positive.\nAnswer: p**(703\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:52 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 5:28 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -123.412 and 792.\nAnswer: -97742.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39632132.\nAnswer: 2, 9908033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3551282 + 70557240?\nAnswer: 74108522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.102 + -92.202. Let y = r - -92. Are 8 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -14. Suppose -5*h = -j*x - 88, 0 + 20 = -5*x. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107383101 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326 divided by 2.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2 - 0\/(-5)). Suppose -p - 3 = q, 3*a - p - 5949 = -3*p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 93345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947*z - 394*z + 19656 = -613*z for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:43 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25\/114 + 22\/57. Let a(h) be the third derivative of 0 + 0*h + 1\/12*h**4 - c*h**3 - 3*h**2. Differentiate a(m) with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a + a. Let b be ((-54)\/126)\/((-6)\/a). Is -0.02 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 17*v**2 + 172*v + 24. What is the remainder when 263 is divided by p(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (25\/5)\/(-1)*3\/5. Let i be (-2)\/12 - ((-65)\/(-30) + o). Which is the smallest value? (a) i (b) 0.04 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -134 - -3?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/16 and -37\/260?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 11, 1, 100 in decreasing order.\nAnswer: 100, 11, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1087 + 1126. Which is the closest to -1? (a) -3\/8 (b) -0.02 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 9*f + 3. Let w(d) = 2*d + 1. Let t be w(-5). Let o be u(t). Suppose -3*q + 4*q = 5*y - 230, 0 = o*y - 4*q - 138. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84370 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 989\/75205 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -288? (a) 0.5 (b) 3\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-154)\/539)\/((-5)\/(-28)). What is the smallest value in w, -0.07, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 - -0.6. Let v = -0.9 - 0.1. Let r = v - y. Which is the second smallest value? (a) -3\/5 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 246405\/20972 - -4\/5243. What is the common denominator of 53\/2 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -647, -737, -887, -1097?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -38*j + 26. Let c be g(-8). Let r = 541 - c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/5 of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -3277?\nAnswer: 3314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, 0.04, 0.1, -5\/4 in descending order.\nAnswer: 0.1, 0.04, -0.2, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 400935274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -13*q + 8. Let w be z(0). Solve -5*a + 24 = d + w, -2*d + 4 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -5681671?\nAnswer: 4\/5681671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmqmmqmqm. Give prob of picking 3 m.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*c + 19, -2*f + c = -3*c - 24. What is the derivative of 0*l + 36*l**f + 0*l - 23 - 21*l**2 wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.03 (b) 1 (c) -1.071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 151*f - 35973 + 35973 in the form w*f + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4278, -8575, -12862, -17133, -21382, -25603?\n\"Answer: g**3 - g**2 - 4301*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = q - 38 + 26, -3*q = 0. Let o = -3.2 - -3. Which is the smallest value? (a) -3 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vav when three letters picked without replacement from {a: 3, c: 10, v: 4, m: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - 4. Let h(p) = 4*p**2 - p - 4. Let l(y) = 3*h(y) - 2*n(y). What is l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5\/5 + 2*c**4 + 12*c**3\/5 - 4*c**2\/5 - 14*c\/5 - 6\/5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60475464 and 276459264?\nAnswer: 1935214848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 1. Determine n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 266, 3, -0.6 in increasing order.\nAnswer: -0.6, 3, 10, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(20\/7)*s)*s)\/(s*s\/((s*s\/s**46*s*s)\/s)) assuming s is positive.\nAnswer: s**(-328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u = 16*u - 6940. Let l = 696 + u. Factor 2\/3*y**4 - 2*y**l + 0*y**3 + 0 + 4\/3*y.\nAnswer: 2*y*(y - 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1229 + -1237. Suppose 0 = -0*w - w. Sort w, r, -2, 2.\nAnswer: r, -2, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035408 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 5*n - 11. Let j be b(-7). Suppose -j*u + 2 + 16 = 0. Suppose 0 = u*w - 22*w + 4096. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/((-21)\/(-126)). Calculate the common denominator of 2*(-74)\/(-32) - 0 and (c - (3 + (-513)\/(-6)))\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0702832l?\nAnswer: 70.2832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 28 = 5*z - d, 5*z + 3*d + 16 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 10\/143 in decreasing order.\nAnswer: 4, 10\/143, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2\/7*h**4 + 0*h**2 - 4\/7*h**3 + 4\/7*h - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1850\/(-75) + 1 + 0. Let j = y - -24. Which is the closest to 2\/5? (a) -1\/3 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184172, -184182, -184206, -184250, -184320, -184422, -184562, -184746?\nAnswer: -184980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -127266 (base 8) to base 16\nAnswer: -aeb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 24\/9 + (4510\/15)\/(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/4 + 4*c**3 - 6*c**2 + 9*c + 4. What is the remainder when k(6) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193367580 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 497*g*p**3 + 6*g*p**2 - g*p*r + 2*p**3*r + 30*p**2 wrt p.\nAnswer: 2982*g + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = z + 5*o, z - 2*o - 52 = -4*z. Let s(a) = -z*a + 11*a + 6*a - 7. Is s(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzrzzzzzzzzzzzz.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, 48927, -10, 13 in increasing order.\nAnswer: -10, -4, 0.3, 13, 48927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(891)*-1.\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/93 + -83\/930. Let z = w + -2\/5. Which is the third biggest value? (a) 2\/11 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cssssssssssssssscssc. What is prob of picking 4 s?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -140624 divided by -3?\nAnswer: 140624\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 34. Let v be 15\/4 - (-4)\/o. Solve v = -w, 3*u - w = -0*w + 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1381804 (base 9) to base 16.\nAnswer: -ba259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49674523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 3 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -51*((-2 - -3)*-9 + -301) a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 219, 343, 467, 591?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 19704*w - 46. Let c(y) = 19709*y - 62. Calculate 3*c(a) - 4*v(a).\nAnswer: -19689*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 262*y\/11 - 532\/11.\nAnswer: 2*(y - 133)*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/20 + h**4\/24 - h**3\/6 - 6*h**2. Calculate t(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235377*m = 235385*m - 240. Solve 3*b + m = 4*i + 16, -4 = -2*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 9. Let q = 0.5 + -0.3. Which is the closest to 1? (a) q (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2274)\/(-24) + (-1)\/(-4)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6217 - 648680007.\nAnswer: -648686224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -2175, 5\/223 in ascending order.\nAnswer: -2175, -0.08, 5\/223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -714 (base 9) to base 16\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -14 + 7 + a - 2*a. Suppose -12 = 7*l - 5*l. What is k(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a - 5. Let m(g) = -4*g - g + 11 + 7*g - 7. Let p(q) = 2*h(q) + 3*m(q). Calculate p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from awmkazy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxu when three letters picked without replacement from {r: 1, u: 3, w: 1, v: 3, x: 6}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 8:05 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 291671 and 5513?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -141 and -1.71064.\nAnswer: -142.71064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 13. Let j be w(-10). Let v = j - -43. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 5*p**6\/72 + 5*p**5\/36 + p**4\/12 - 20*p**2. What is n in l(n) = 0?\nAnswer: -3\/5, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003315 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/59 + 100\/177. What is the nearest to -2 in g, -1\/6, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((1 + sqrt(2178) + sqrt(2178))*1)**2*-4)*-5.\nAnswer: 2640*sqrt(2) + 174280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 107. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -498703907 - -0.015939.\nAnswer: -498703906.984061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/7 (b) -0.7 (c) -10 (d) 5 (e) -2 (f) 9\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111\/(9990\/(-60)))\/(2\/(66\/(-1)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/95*1\/(-1))\/(461\/1383).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3091668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**2 + 0*w**5 + 0*w - 2\/3*w**3 + 0*w**4 + 0*w**6 + 0 + 1\/70*w**7. Find the first derivative of b(a) wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 11*x**2 + 7*x - 16. Let j be 9\/27 + 32\/3. Let g be q(j). Let c = g + -43. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 - d**2 + 707*d + 2*d**3 - 2 - 707*d to p + k*d + i*d**2 + y*d**4 + v*d**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-511*w**2 - 5 + 510*w**2 - w**3 - 2*w**3)*(w - 2*w - w) to i*w + n + z*w**2 + k*w**3 + b*w**4 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 556 and 71168.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-4 + sqrt(104))*6 + sqrt(104))\/(sqrt(40)\/sqrt(45)).\nAnswer: -51*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose 2*r - 19 = -g*k + r, 0 = 5*k - r - 21. Sort -5, k, 1 in descending order.\nAnswer: k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3803*b**2. Let c(t) be the third derivative of t**4\/12 + 232*t**2. Determine c(n(p)).\nAnswer: -7606*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48809351, 97618706, 146428059, 195237410?\nAnswer: 244046759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 879774 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 701 = 5*d, 5*d + 5*x = -355 - 310. Let l be 1 - d - (1 - -2). Let i = -4 + 31. What is the greatest common factor of i and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/379895797 and -15\/8.\nAnswer: 3039166376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*d + 2*y, -d + 5 + 23 = -3*y. Let s be (-7)\/(-21)*(d - 1). Suppose -3*a = 4*h - 4 - 20, -2*h + 12 = -s*a. Solve -4 = -5*p + h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 - 128. Let g(w) = 2*w + 2. Let a(o) = -11*o - 9. Let n(l) = a(l) + 5*g(l). Let f(q) = -q + 2. Suppose 15 = -4*u + u. Give r*n(c) + u*f(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17185868027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17955, 35836, 53645, 71376, 89023, 106580, 124041, 141400?\nAnswer: 158651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 + -1070 + (-1 - -207) - (-2 - -7)?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10750, 10751, 10752, 10753?\n\"Answer: k + 10749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/4 - 2227569*r**2\/4 + 103374933792*r + 516888591360.\nAnswer: 3*(r - 371264)**2*(r + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 - 116*m + 555 = 0. What is m?\nAnswer: 5, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 277b?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3812513*s**2 + 2736281*s wrt s?\nAnswer: -7625026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 155*x**2 - 199*x**2 - 876*x**2 + 7*x**2 + 6 - 6 - 5*x**2 + (-3*x**2 + 6*x**2 - 2*x**2)*(8 - 3 - 3) + 0*x**2 + 2*x**2 - 3*x**2.\nAnswer: -917*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, m: 3}. What is prob of picking 3 m?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otxo. Give prob of sequence tx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 - c**2 - 4*c**2 + 4 - c**2. Calculate the remainder when x(-6) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (sqrt(30)\/(-1*sqrt(10)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -33, 3596, 3, 47 in descending order.\nAnswer: 3596, 47, 3, 2, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 4*m. Let d(t) be the first derivative of 3*t**5\/20 - 5*t**3\/6 - 2*t + 2. Let w(l) be the first derivative of d(l). What is -5*s(z) + 4*w(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -302504*d - 605003. Calculate s(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -94. What is the smallest value in s, 2\/3, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 75*f**2 - 99*f + 3481. Give o(-73).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107850 and 21570.\nAnswer: 107850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3933 divided by 1311?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11964 or -12281?\nAnswer: -11964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4*18787.87\nAnswer: -75151.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 247*c**2 + 99*c + 32. What are the prime factors of q(8)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + 7*z**4 + 7*z**4 + (-5*z + 5*z + z**3)*(0*z + 4*z - 5*z) to q*z**2 + d*z**3 + r*z + b*z**4 + m and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 = d, 5*l + 2*d - 5*d = 34. Suppose y - 1913 = -4*a, -l*a = -0*a + 2*y - 2389. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 168239\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-9))\/(26\/351)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) 33 (c) -46344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 308\/60 - 2\/15. Solve -5*j + 20 + q = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i - 2*o + 4, 0 = -5*o. Let s(t) = -2 - t - 1 + 2. What is s(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*x + 206. Suppose -6*n = x - 87. Which is greater: n or -120?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1138 and -1.\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j + 12*j - 53 = 0. Let n be (j + 0)\/((13\/(-4))\/(-13)). Solve -4 = -n*t - 0*t, 4*k = 2*t - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**3 + c**2 + 3085*c + 30. Let q(k) = 3*k**3 - k**2 - 3089*k - 25. Give -6*q(x) - 5*w(x).\nAnswer: 2*x**3 + x**2 + 3109*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 - 221. Is (d\/5)\/(118\/(-5605)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - d + 1. Let t(x) = 2*x**3 + x**2 - x - 8. Let r(w) = p(w) + t(w). Let n(g) = -g**3 - g**2 + 2*g + 6. Give -7*n(o) - 6*r(o).\nAnswer: o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -40*m**2 - 2*m - 2. Let c be r(-1). Let a = -70 + c. Let x = a - -179. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + s + 4656. Let r = -1053 + s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41347\/3646 or 10?\nAnswer: 41347\/3646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -132, -111, -74, -3, 120, 313, 594?\n\"Answer: 3*s**3 - 10*s**2 + 30*s - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllnnlnnnllnnnn. Give prob of picking 2 n and 2 l.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from svnvsvisavia.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 786*s + 409. What is the hundreds digit of r(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqgcrcgqgrgv. Give prob of picking 1 q and 2 c.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 56. Let f(q) = -6*q**3 + 3*q**2 - 9*q - 20. What are the prime factors of f(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192912 and 33.\nAnswer: 2122032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-5))\/((-318)\/530)*-1*(-12)\/(-4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 589.36660474206+2\nAnswer: 591.36660474206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 415 = s. Let x = s - 81. What is the third derivative of -1 - 31*a**x - 19 + 30*a**3 + 20 wrt a?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55260 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905*c = 912*c - 700. What is the remainder when 478 is divided by c?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -26. Suppose 153 - y = z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 233807 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 23140.\nAnswer: 1\/11570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588228189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.3 - 5. Let q = -15 - -16. Put y, q, 0.1 in decreasing order.\nAnswer: q, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - d - 12 = -2*d, -10 = -w - 2*d. Let l = -21 + 41. Solve -5*s + l + 3 = -w*c, 0 = c - 2*s + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360, 409, 492, 609, 760, 945, 1164?\nAnswer: 1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(-15)*f*f**18)\/(f**(-12)\/(f*f**(1\/2)\/f)) assuming f is positive.\nAnswer: f**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:43 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18444666 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/2 - 102*t + 639\/2.\nAnswer: -3*(t - 3)*(t + 71)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 13 + 190 = -28 + 4 for l.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12206939531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 26. Which is the nearest to 0? (a) i (b) -1\/5 (c) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*p - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92037*-0.2.\nAnswer: -18407.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.5492619 times 0.7\nAnswer: 1.08448333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*o**2 + 136*o wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l**2. Let v(y) be the second derivative of y**3\/2 + 23*y + 2. Give v(n(f)).\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*n = -3*k - 94, 0 = k + 3*n - 102. Suppose -4*t - k = -w, 223 + 233 = 4*w - 4*t. What are the prime factors of w?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(304) + 3)*-6 + (-2*sqrt(152)\/sqrt(4))\/(-2*1*sqrt(2)))**2.\nAnswer: 1380*sqrt(19) + 10951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -87744.55 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 11. Let q = z - -15. Differentiate 18 + 7*f**3 - 25*f**q + 11*f**3 with respect to f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17739627.\nAnswer: 3, 131, 45139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l**2 - 10*l**3 + 12*l**2)*(-4*l + 7*l - l)*(-4*l + 4*l - 6*l).\nAnswer: 120*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12345.\nAnswer: 3, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 2*m - 3786. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/140 - 10\/14. Let d(k) = -11*k - 7. Let b be d(r). Sort 1\/5, b, -3, -4 in decreasing order.\nAnswer: b, 1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -2\/21 (b) -5.3 (c) 3 (d) -2 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 + 2*n + 2. Let d(y) = y**2 + y + 1. Let r = 17 - 19. Determine r*d(b) + q(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 25 = 5*f, f = 3*f + 4*c - 10. Suppose -10 = f*r, 0 = 3*a - 2*r + 2 - 12. What is the common denominator of 46\/7 and -202*a\/(-2*4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 378 + -5?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 4. Let j be y(-6). Round j to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2893970963?\nAnswer: 13, 997, 223283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -769979, -770115, -770227, -770303, -770331, -770299, -770195?\nAnswer: -770007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -38. Let x = -7 - -6.9. What is the closest to x in -0.4, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5511 + 5562. Solve 31*g + x = -104 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 11 + -3 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.076729ug?\nAnswer: 0.000076729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 976 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**3 - 3*z**2 + 4*z + 18. Give v(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*g + 63020 = 13*g + 3550. What is the remainder when g is divided by 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1204*y**3 - 2419*y**3 + 808*y**4 + 2 + 1213*y**3 in the form k*y**4 + h*y**2 + w + z*y**3 + q*y and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(13) - sqrt(13)) + 2)**2 - (sqrt(117)\/(sqrt(27)\/sqrt(3)))**2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 70 + 7*v - 9*v**3 + 6*v**2 - 10*v**3 - 23 - 13*v**2 - 37. Let w(a) = 13*a**3 + 5*a**2 - 5*a - 7. Determine 5*t(o) + 7*w(o).\nAnswer: -4*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 4372*s**2 - 81984*s - 386640.\nAnswer: -4*(s + 9)*(s + 10)*(s + 1074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*w - 71 = 0, 6 = -0*w + 3*w. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.086*-0.1.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -884 (base 12) to base 7\nAnswer: -3436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 70293985 divided by -6\nAnswer: -70293985\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/4 + 6445*u\/2 + 32100.\nAnswer: 5*(u + 10)*(u + 2568)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and 185?\nAnswer: -4810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**2 + 130830*t + 2749635 = 0. Calculate t.\nAnswer: -21, 26187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, g: 1, r: 2, i: 6}. What is prob of picking 1 v, 2 r, and 1 i?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13245226, 13245204, 13245182?\n\"Answer: -22*b + 13245248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 13*i + 3150. Let a be z(-50). Sort -2, a, 1604 in increasing order.\nAnswer: -2, a, 1604","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*d**3*p + 7*d**2*z + d*p**3*z - p**3 - 15*p**2*z + 57*z wrt d?\nAnswer: 129*d**2*p + 14*d*z + p**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -462, -1047, -1886, -2991?\nAnswer: -4374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2)*(1 - 1 + 2)*(-2 - 1 + 2)*(3 - i - 3).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 695 - 485. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**2\/2 + 303*a + 40545\/2 = 0.\nAnswer: -53, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-9\/5)*v)\/((v**(10\/7)\/v)\/v))\/(v**30\/v**(-3)) assuming v is positive.\nAnswer: v**(-1128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 15*u + 20. Let i be c(14). Let z be i\/(-4) + 10\/5. Factor -9\/4*r - z - r**2.\nAnswer: -(r + 2)*(4*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 + 78.9973. Round a to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 990607 = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -118*v - 20 - 120*v + 241*v. List the prime factors of q(17).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + z**3 + 2*z - 3*z**3 + 22*z**3 + 3*z**3 + (-3*z**2 - z**2 + 5*z**2)*(3*z - z + 0*z) + 4*z**3 + 7*z**2 - 7*z**2.\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*r - 75*r - 810. What is the highest common divisor of r and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4618455 divided by -5.\nAnswer: -923691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -i - 2*y - 1, 3 = -3*i - 2*y. Let r(k) = 3*k**2 - 2*k - 1. Let p be r(i). Find the third derivative of 8*f**6 + p*f**2 - 16*f**2 + 11*f**2 wrt f.\nAnswer: 960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152860 divided by -9.\nAnswer: -152860\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223841 a multiple of 931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b + 43*b + 118*b + 42*b in the form i*b + z and give i.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 1:01 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 83*r**5\/5 + 2421*r**2\/2 - 2*r - 609. What is the derivative of u(h) wrt h?\nAnswer: 996*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o**2 + 9. Suppose 5*i = -5*p + 2*i - 12, -5*p = 4*i + 16. Let a be n(p). Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 106 = -169. Suppose 4*s - j = -3*s. Solve y + 2*g - s = -0*g, 5*y = 5*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.6, 0, -0.21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - 2) - (0 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.39 + -53.59. Let z = u - -57. Let p = z - 7.726. What is p rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4331213 and 4189.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*o + 3*o. Solve 5*q - 24 = 3*x, 2*x - 5*x - o = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(672\/(-35))\/(3\/15). Let k = n - 100. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-160)\/24 - (-319)\/87. Let g = -23 + -3. What is the second smallest value in g, r, 4, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(42) - (sqrt(42) - (sqrt(42)*2 + sqrt(42))*5)) + (sqrt(462)*-3)\/sqrt(11))\/((sqrt(3840) - 2*sqrt(3840))\/sqrt(10)*-3).\nAnswer: -5 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, c: 1, s: 1, u: 1, e: 1}. Give prob of sequence ue.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/7 - 404*i**2\/7 - 448*i - 6208\/7 = 0. What is i?\nAnswer: -194, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*u + d, -u + d = 5 + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqfffffffq. What is prob of picking 2 f and 1 q?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 221?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 27*a - 25. Suppose -29 = a*n - 54. Solve 3 = 3*l - n*c + 4, l = -2*c - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + y - 4. Suppose -m - 6*d + 4*d = 4, -1 = -2*m - d. Let n be x(m). Solve -i + 2 + 5 = -n*l, 4*i - 13 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -3. Let v(d) = 439*d. Let z be v(x). Let i = -352 - z. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2582 = -3*o - 2*j + 2686, 7*o - 291 = 5*j. Let t = 1 - 1. Suppose t = -5*z + 3*z + 76. Calculate the highest common divisor of z and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4381993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from nssjqnqnss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 63*j - 143. Let a(l) = 4*l. Let o(g) = -2*a(g) + x(g). Let c be o(6). Calculate the highest common divisor of c and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 78.072 from -0.1059.\nAnswer: -78.1779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/36)\/(11\/(-3) + 5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-27)\/12 + 3\/12. Solve 2*h = -4, -t - 1 - d = -h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 6*n**2 - n + 2. Let b(i) = 1330*i**3 - 336*i**2 + 56*i - 112. Give b(p) + 56*r(p).\nAnswer: 1274*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -9778\/20233?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 3 - 8 - 2 - 5.\nAnswer: -a - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*o - 102, 5*o = 2*t - 116 - 18. Let k be -1*20*(-3 - 1). Let w = k - t. What is the greatest common factor of w and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/5)\/(4\/(-10)). Suppose 2*m + s = 6. Let g(n) = -n**3 + m + n - 7*n**2 + 2*n**2 + 0*n**3. What is g(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65132 divided by -43?\nAnswer: -65132\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*x - 20, -4*j - 2*x - 30 = -4*x. Let g(m) = m**2 - 8*m + 4. Let w be g(7). What is the units digit of (j + 3)\/(1 + w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 14. Let s = w - 11. Sort s, 0.3, -3\/7.\nAnswer: -3\/7, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 4*z**2 + 0*z**2 - 6*z**2 + 2*z**2 + 4*z**2 + 4*z**2 - 6*z**2 + (1 - 1 + z**2)*(-2 + 2 + 1) - 6*z**2 - 50*z**2 + 15*z**2.\nAnswer: -46*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2))**(-7\/6)*((i\/(i\/((i*i**9*i)\/i)))\/i)\/i**(2\/21))**(1\/59) assuming i is positive.\nAnswer: i**(141\/826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -466786585+-489557\nAnswer: -467276142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = 2*f - 3*f, -f + 27 = 5*z. Solve -15 = -f*u + 7*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1466, -11, -2\/3, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264992 times 0.2?\nAnswer: 52998.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(60)\/sqrt(5)*-5).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27251610 divided by 9?\nAnswer: 9083870\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433943 is divided by 246?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 2, f: 2}. What is prob of sequence oofk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2. Let y(b) = 2*b**2 + 13*b - 9*b**2 - 13*b. What is l(y(c))?\nAnswer: 196*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from oeohobeoohhoohhoho.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7688760 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**2 - i**3 - 2*i**2 + 6 - 3*i**2 + 10*i**2. Calculate q(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1957\/3 + 652. Let s = -3.01 + 0.01. Let w = 36 - 253\/7. Which is the closest to -1? (a) w (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p + 24 = 0. Let r(w) = -w - 10. List the prime factors of r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h - 8. Let r be j(-2). Suppose 5*k + 30 - r = u, 2*u + 2*k - 84 = 0. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhlr when four letters picked without replacement from {h: 3, l: 4, m: 1, j: 2, r: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -645 - -646. Which is the second smallest value? (a) 157 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18764698 and 20?\nAnswer: 187646980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49201 is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8413 - 8443. Let u = -3.8 + 4. What is the closest to u in 5, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*i + 22, -3*o - 5*i + 37 = 0. Is 12 a factor of (o\/6)\/((-4)\/(-102))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 419393?\nAnswer: -209696.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2200.6539 - -0.074.\nAnswer: 2200.7279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 - 12 = 0. Solve -z = 4*h + 16, 3*z + 21 = -c*h - h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.13 (b) 7 (c) 4\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/34 - -87\/238. Is 0.1 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 425\/6. Let r = 27.46 + -28. Let q = r + 0.14. Which is the second biggest value? (a) q (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 285 - 214. What is the remainder when j is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1733 + 6935\/4. Let r be ((-2)\/(-6))\/((-7)\/(-42)). Let h be 1 - (2 - (r - 0)). Is h at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-81))\/(4\/(-9))*-30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -8*a - 8*a. Suppose -55*z + 302247 - 53647 = a. What is z rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*c**2 + 105*c**2 - 520*c**2 + 136*c**2 + 120*c**2.\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 1. Let m be u(1). Suppose m = -3*v - 2*v + 445. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -4, -5, -3.\nAnswer: -5, -4, -3, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 - a + 182. Let o be w(0). Let d = -8196 + 8222. Calculate the highest common divisor of o and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 234 and -0.3433.\nAnswer: -80.3322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -2\/559 in descending order.\nAnswer: 3, -2\/559, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -2. Let w be (-4)\/6 - 4\/(-6). Does 11 divide 3\/(k - w) + 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 60 and 274480935965.\nAnswer: 274480936025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/6, 0.1, 0.3, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -77008\nAnswer: -11\/19252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6 - 2. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n. Let s(r) = -85082276*r. What is s(h(j))?\nAnswer: 255246828*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 188*j**3 + 1448*j**2 - 3408*j + 2592.\nAnswer: -4*(j - 3)*(j - 2)**2*(j + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1650966 and -61\/10?\nAnswer: 8254830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17638, -10\/9, -2, 11, -2\/5.\nAnswer: -17638, -2, -10\/9, -2\/5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x = -2*t + 43*x + 64, 5*t + x = 177. Let g = t + 19. Calculate the remainder when g is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.77 - -10. Let t = 5.23 - j. Which is the nearest to 0? (a) 1\/2 (b) t (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -240 + 56. Suppose -p - 4*l + g = -4, -p + 25 = -l. Let k be 154\/10 - 12\/p. Solve a + 2*a + k = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.25 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269588?\nAnswer: 2, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7 - 10\/7*o**2 - 50\/7*o**3 + 32\/7*o.\nAnswer: -2*(o + 1)*(5*o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-35)\/27 - 72\/(-54))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(1008)) - (4*(2*sqrt(1008) - sqrt(1008)))**2.\nAnswer: -16130 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/35320 - 11213\/38852. Calculate the common denominator of z and 93\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -184*c**3 - 14250*c**2 + 6966*c**2 + 7092*c**2 + 2*c**5 - 40*c**4.\nAnswer: 2*c**2*(c - 24)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/9 + -2 + 7. Let b = 1 - -3. Suppose 5*o - 10 = -3*m, b*m - p = 3*m - 4*o. Solve -m*r = 4*x + 11, -5*r + 5*x = 7 - 32 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 19 = -152*a + 419 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 + 13*z**2 - 16*z - 21. Let d(n) = n**3 + 3*n**2 - 4*n - 5. Calculate -9*d(m) + 2*s(m).\nAnswer: m**3 - m**2 + 4*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rre when three letters picked without replacement from rtrttiiteriti.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -539 - -9626. Calculate the highest common divisor of g and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104826*m**3 + 2*m**2 - 3287376*m + 2 wrt m.\nAnswer: 628956*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i**(1\/4)\/i)\/i)*i*i\/(i\/(i**3*i))*(i*(i\/(i*(i*i\/((i\/((i**(-1)*i)\/i*i))\/i))\/i*i))\/i*i*i)**44 assuming i is positive.\nAnswer: i**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1. Let n(x) = -3*x + 5. Let b = 22 - 19. Suppose -5*g - 2*p - 5 = 0, -p - 5 = -3*g + b. Calculate g*n(m) - 3*h(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4 - 19768*r**3 - 59322*r**2 - 8*r + 79096 = 0.\nAnswer: -2, 1, 9887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -16388 > -9465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {t: 1, c: 1, d: 3, x: 1, o: 5, h: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2*(5 + -3). Suppose 4 = z + 2*b, b + 20 = 5*z + r*b. Solve -z*q - 3*n + 19 = 0, q + 2*n + 3 = 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8740722923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3136 = 4*n - 3092, -4*n - 4*v + 12 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 21*y**2 + 16*y + 5. What is u(-12)?\nAnswer: 1109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 915 and 8557500?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1114, 4833, 11022, 19681, 30810, 44409, 60478?\nAnswer: 79017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 150.5434ug?\nAnswer: 0.0001505434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/8200617 and 16\/30068929.\nAnswer: 90206787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.184 + 2.816. Which is the fourth biggest value? (a) 1\/6 (b) w (c) 4 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5\/2 + 585807*j**4 + 76265431614*j**3 + 3310580442944340*j**2 + 92643791495230800*j + 317610759731472000 = 0. What is j?\nAnswer: -130170, -24, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1260.87.\nAnswer: -5043.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -15\/2. Let g = -220 + 221. What is the closest to g in -2\/5, -3\/2, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4202 is divided by 58.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 9*z + 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -16 - 7) + 2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.14 (b) 0 (c) -10 (d) 18 (e) -3 (f) -2 (g) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**4 - 8595 + b + 8595)*(-b + b - 3*b).\nAnswer: -3*b**5 + 3*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide (-4)\/(-5 + (-95457)\/(-8679) + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-8)*((-12064)\/174 - -50)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4762436*y**2. Let p(n) = 12*n**2. Give p(i(r)).\nAnswer: 272169559849152*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3142950462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107442 and 3426714.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 at least as big as -0.323148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9227086 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 816521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23467.8859 rounded to the nearest 10?\nAnswer: -23470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012511 to seven dps.\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 164*r - 2096. Let b be f(14). Let m = 6 - 4. What is the third derivative of 10*p**2 - 3*p**4 - 6*p**2 + 13*p**m + 2*p**b wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b + 92 + 471 = -133 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6212? (a) 4 (b) 0.7 (c) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41a - -26?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -38*h + 49*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -957 + 1915 - 958 + 0*x**3 + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - -9.9. Let h = 10 - n. Let t be 3\/18*(-1 - 0). What is the closest to h in 3, -2\/7, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.5 + 44.50339. What is f rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h. Suppose 0 = 17*b - 15*b. Let k(n) = b - 20*n + 0 + 15*n. Give 4*k(z) - 7*o(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 273978306 to the power of 1\/2, to the nearest integer?\nAnswer: 16552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -134001442 (base 5) in base 14?\nAnswer: -13c8cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - 47. Let r = -57 - l. Which is the third biggest value? (a) 4 (b) -6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 d when three letters picked without replacement from pbppdppppdpoidopp.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18187578 greater than 18187580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 182.34671 times -0.4\nAnswer: -72.938684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525667 + 525667 - 26*q.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3699 - 1897 - 1939 + c)*(5 - 4 - 2) to the form x*c + n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15620, 27333, 39046?\n\"Answer: 11713*a + 3907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04023 in 6, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 555?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -112. Suppose -2*w + 0*w = 0, g*s = w + 18. What is the common denominator of -19\/12 and 2\/(-7) - ((-1223)\/(-154) - s)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 14) in base 9?\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 58 + (819 - 881)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.74 + 0.2.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13907*g - 13988*g = 2025 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*q + 6, -v + 4*q = -0*q + 12. Let t(y) be the first derivative of y**2\/2 + y + 1. Let c be t(v). Put c, -4, -5 in ascending order.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from krkrfrhnrrnnkr.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 16*h**2 + 5*h + 16. Let i(w) = -3*w**2 - w - 3. Suppose 5*r + 2*k = -8, -2*r = -4*k + 5 + 3. Let s(t) = r*q(t) - 11*i(t). Calculate s(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 + 155*y**3 + 293*y**2 - 1979*y + 1530 = 0. What is y?\nAnswer: -153, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458990.1 millilitres to litres.\nAnswer: 458.9901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10*3\/(-18))\/(-5 - (-3380)\/312)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*365009.\nAnswer: 146003.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 7*u + 19150. Let z = u - -9623\/5. What is the common denominator of (-3)\/4*(-59)\/(-12) and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 8. Let y(x) = 24*x + 128. Determine -48*a(r) + 3*y(r).\nAnswer: 120*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 18*z - 12*z. Let m(h) = -h**2 - 6*h + 1. Let v be m(-6). Is k(v) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 2, f: 1, q: 2, z: 2, x: 4}. Give prob of picking 1 f, 1 z, 1 a, and 1 q.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**4 - a**3 + a**2 + a. Let r(g) = 3*g**6 - g**4 + g**3 + 36*g**2 - g. Let b(y) = r(y) + s(y). What is the third derivative of b(z) wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329198, -329193, -329184, -329171, -329154, -329133, -329108?\nAnswer: -329079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5. Let n(s) = -s + 21. Let z(m) = -9*d(m) - 2*n(m). Let w(c) = -c - 2. Let l be 2*(-3 + 2) + 192\/32. Calculate l*z(t) + 7*w(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3 = 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 509.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3773084 is divided by 110?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 62*r + 67*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22764 (base 15) to base 10.\nAnswer: 109669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -32, -28, -22, -14, -4, 8?\n\"Answer: z**2 - z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) + sqrt(60)\/sqrt(3))*-5)\/sqrt(10) + -2 + 5)**2.\nAnswer: -60*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*k = 4, -73*f + 37 = -70*f + k for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpppkx. Give prob of sequence kxp.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 80*o - 122. Calculate p(42).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -40. Factor 11\/3*x**4 - 1\/3*x + 4\/3*x**i + 3*x**3 + 1\/3*x**2 + 0.\nAnswer: x*(x + 1)**3*(4*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47580.0468 rounded to the nearest 10?\nAnswer: -47580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d = 10. Suppose 0 = d*m - 2*m - 66. What is the least common multiple of m and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b - 20. Let p(i) = 40*i + 119. Calculate 34*c(s) + 6*p(s).\nAnswer: 2*s + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 19*d + 269. Let v(y) = y**2 - 7*y + 94. Determine 17*v(r) - 6*z(r).\nAnswer: -r**2 - 5*r - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1863 - 277?\nAnswer: -1b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 76*n + 358. Let g(k) = -9*k**2 + 34*k + 50. Let b be g(5). Give d(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (45\/(-36))\/(2*(-2)\/(-16)). Let d(r) = r**2 + 13. Let j(q) = q**2 + q + 12. Let b(k) = -6*d(k) + 7*j(k). Determine b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -594, -920, -1242, -1560, -1874?\nAnswer: -2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.4, 0.21, -0.8, 30041?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, 15.34, -1\/6 in decreasing order.\nAnswer: 265, 15.34, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57475885 divided by 1.\nAnswer: 57475885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + -1 + 3 + (-262 - -259)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(539) - sqrt(110)\/sqrt(90)) + (sqrt(11) - sqrt(110)\/(sqrt(10) + sqrt(250)) - (sqrt(11) - sqrt(66)\/(sqrt(30)\/sqrt(5)))).\nAnswer: 29*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 4. Let v = 2 - -9. What is the units digit of u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1414 (base 5) to base 3.\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 15 = 0, -26*v + 1 = -11*v - 10*v + 5*s - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 81?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254982236*o**3 - 774012409*o?\nAnswer: -1529893416*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, -343, -0.4 in ascending order.\nAnswer: -343, -4, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10273, -20548, -30823, -41098, -51373?\nAnswer: -61648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61821 = 65*z - 64*z + f, 3*f - 61817 = -z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18.4? (a) 5 (b) -2\/7 (c) -2\/9 (d) -21 (e) 3 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2\/9 (c) 1769.73 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**6\/6 + 91*s**5 + 4505*s**4\/6 + 6290*s**3\/3 + 5385*s**2\/2 - 1869*s. Factor i(v).\nAnswer: 5*(v + 1)**2*(v + 3)*(v + 359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/150 and 119\/180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 250\/40 + -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 0 + (-6)\/9 - (-2120)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 2:52 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11423 at most as big as 11424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4378 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -55\/6 (b) 29.3 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.3 + -3. Let t = -0.7 - -0.3. Let l = -3.6 + t. Put r, 4, l in ascending order.\nAnswer: l, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5228128 to the nearest integer?\nAnswer: 2287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86436 is divided by 6414.\nAnswer: 3054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + 3*i**2 + 4*i - 2. Let w(y) = y**2 + y + 3. Let c be w(0). Suppose -2*a - c*a + 20 = 0. Let z be g(a). What is z rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.9 times 0.1?\nAnswer: -15.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 1, t: 2, u: 2, q: 14}. Give prob of sequence tu.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 - 2.4. Let r = -0.1 - 0.2. Which is the nearest to -1\/6? (a) r (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/18 - (-14)\/6)*(-2010)\/(-268). Calculate the greatest common factor of t and 13140.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -15, 87 in decreasing order.\nAnswer: 87, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -4. Let u = -3 + y. Let d = -4\/173 + 390\/1903. What is the nearest to -0.1 in 1, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 10. Suppose -5*n - 2*m = -245, m + 5 = y*m. Suppose -4*d = 5*i + d - 35, n = 5*i - d. Calculate the highest common factor of 72 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - 28 - -45 - -70.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide -2226 by 14.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*r - 97 = 0, -2*i - 2*r + 154 = -16. Suppose 0 = -7*s + 242 + i. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 4*s + 3*s. Let r be (-2)\/11 + 1455\/(-165). Let g(c) = 4*c. Let u(q) = r*d(q) - 4*g(q). Let n(p) = 2*p**2. What is u(n(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3, 216 in increasing order.\nAnswer: -4, -3, 5, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2999*x**2 + 1715?\nAnswer: -5998*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2. Let x(y) be the third derivative of -7*y**4\/12 - 15*y**2. Determine x(d(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -65*x**3 + 50*x**2 - 11*x + 11. Let j(r) = 13*r**3 - 10*r**2 + 2*r - 2. Let y(u) = -11*j(u) - 2*z(u). Find the third derivative of y(i) wrt i.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 l when four letters picked without replacement from {s: 12, l: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110010110000110 (base 2) in base 5?\nAnswer: -20011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, -32, -3 in increasing order.\nAnswer: -32, -3, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010100000100101 + -100010110?\nAnswer: 1010010011100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.339 - 1.339. Sort -0.1, 2\/3, 0, s in ascending order.\nAnswer: s, -0.1, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221324 is divided by 261?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 12*v**4\/7 + 418*v**3\/7 - 946*v**2\/7 + 590*v\/7 - 74\/7 = 0.\nAnswer: -37, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b + 73*b - 33*b + 32*b**3.\nAnswer: 32*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (2 - 3))*6\/(-4). Let o be (-9)\/(-6) + 0\/y. Which is the third biggest value? (a) 0.7 (b) -3 (c) o (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/18*(-24)\/16*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.34 - -0.29. Let b = r + 0.15. What is the smallest value in -12, b, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.13 + -0.77. Let y = -0.900022 - r. What is y rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1430*g**2 - 675*g**2 - 752*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 - 3*u**2 + 7*u - 2. Let n be p(7). Suppose n - 227 = 3*w. Is w a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 3\/4, -2\/19, 47\/4, 2\/23, -3, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.145 * 24.13\nAnswer: -3.49885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 177*y + 27266. Give r(-153).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3036 or -39?\nAnswer: -3036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33920 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6804 divided by 14.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36586, -146503, -329984, -587263, -918574, -1324151, -1804228?\nAnswer: -2359039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -569872 (base 15) in base 3?\nAnswer: -21202222021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10 - 142\/(-10) - (-5 + 13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54395959?\nAnswer: 83, 655373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t. Suppose -4*v + q = 0, v + 4*q = 3*v. Let c be -3*4\/(-6)*-1. Let n be v - -2*c\/2. Calculate d(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Suppose -7*x + 2*x + 60 = 0. Suppose -o*f - x = 3. What is the nearest to -2 in -1\/7, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5853692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94907\/22 + 4314. Which is the third biggest value? (a) 1 (b) 1\/8 (c) -5 (d) z (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 14. Suppose 2*c = -5*q + 35, 4*c + 2*q - 56 = -c. Let l = c + -7. Solve -12 = z + d*f, l*f + 5 = 3*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3 - 110*o**2*r - 2*o**2 + 5*o*r - 10*o + 2*r wrt o?\nAnswer: 12*o - 220*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*m - 2, 2*m = 4*x - 35 - 17. Let z = -207 + 317. Calculate the greatest common factor of x and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 721.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 7. Let o be l(-7). Calculate the remainder when 3\/1 - (-16 + o) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94225 divided by -540.\nAnswer: -18845\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/11 - 56\/11*j**3 + 46\/11*j**2 + 16\/11*j = 0. Calculate j.\nAnswer: -3\/7, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + 5*g + (-5 + 3 + 3)*(0*g - g + 0*g))*(18*g**4 - 65*g**4 + 27*g**4 + g).\nAnswer: -20*g**5 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g + 2. Let t be (-4)\/(0 + 1 - 2). Is n(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 431\/18 - 403\/9. Let o = 22 + h. Are o and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1282 + 1838. What are the prime factors of z?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625180373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - ((sqrt(228) - (sqrt(228) - -1*sqrt(228)))\/sqrt(6) + sqrt(38)))\/sqrt(2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.7 + 10. Let p = -42.65 + 40.65. Which is the closest to g? (a) 0.5 (b) 7 (c) -4\/9 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -67*p + 2607 - 5284 + 2450. What are the prime factors of n(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**6\/2 + 5*y**3\/6 - 11*y. What is the second derivative of h(o) wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 4, 0.02, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*v + 7638 = 0, -2569 = -5*j - 2*v + 10158. Let r = 4298 - j. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 e when four letters picked without replacement from {z: 9, e: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 9. Let i(y) = -6*y + 55. Let j(n) = -34*h(n) + 6*i(n). Suppose 5*q - 49 = -4*k, -2*k - 3 + 22 = -3*q. Let f be j(k). Which is bigger: 7\/10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61362753 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -1\/21*v**3 - 1\/2*v**2 - 6\/7*v + 50. Find z, given that h(z) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26c421 (base 13) to base 7.\nAnswer: -10666332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 2*m + 34. Let i be c(-6). Suppose -9*f + i = 1. Sort 0, f, -6, -4.\nAnswer: -6, -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 - 5*c + 46 + 49 + 37.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -63, 18, -21597 in decreasing order.\nAnswer: 18, 4, 0, -63, -21597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.1. Let q = 0 - -3. Let p = 3657 + -3657.1. Which is the nearest to j? (a) p (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*v - 161*v - 10 = -3*r, 2*r - v - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 220 - 27. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3559120 and 1088?\nAnswer: 14236480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 + -119. Determine p so that -p**3 + q - 5\/4*p**2 - 1\/4*p**4 - 1\/2*p = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 13*b + 12. Let v be z(16). What is the greatest common factor of v and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 123.8?\nAnswer: 123.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4030213?\nAnswer: 11, 366383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - (-3368)\/20)*5 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 8279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 408 - 404. Suppose p*d - 833 = 3*d + l, -15 = 3*l. What are the prime factors of d?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*y - 357*y + w + 1 = 0, -y = 4*w - 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20333 + 2?\nAnswer: -20331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -394 - -396. Solve 0 = g*t - 8, -x - 3*t + 0*t = -7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13183, -26367, -39551, -52735, -65919, -79103?\nAnswer: -92287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*p + 6984 - 6984 + (-7 - 72 + 6)*(-p + 3 - 3) as d + s*p and give s.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -15. Suppose 8*k - a*k - 1908 = 0. Suppose 714 = 3*o + 3*r, -r - 2*r = 4*o - k. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-3)\/36*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {l: 2, g: 7, b: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) -1\/3 (c) 0.157 (d) -2\/13 (e) -5.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 2:36 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -74*x + 55. Let p be a(0). Suppose 2*y - 281 = -51. Suppose p = -4*f + y. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.04, 3\/25, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25411093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by 24\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**7\/1680 - f**6\/40 - 9*f**5\/20 + 23*f**4\/24 + 14*f**2. Let q(a) be the second derivative of y(a). Solve q(z) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 2*w + 796950 = 0. Let v = 242 - 265. Let t be ((-600)\/(-7))\/(v\/w). What is t rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*k + 7 = 3, -2*y + 2*k = -12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 i when four letters picked without replacement from ciccszszicisc?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/3, -0.5, 16, 4, -315 in decreasing order.\nAnswer: 16, 4, 1\/3, 0, -0.5, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 973397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193659939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13274611?\nAnswer: 7, 23, 41, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 30590*x. Let o(b) = 317*b. Calculate -5*i(f) + 483*o(f).\nAnswer: 161*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -60, -157, -292, -465, -676?\nAnswer: -925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**4 + 10*x**2 + 4*x - 4. Let t(r) = -r**5 + 3*r**4 - 11*r**2 - 3*r + 3. Let c(i) = 3*b(i) + 4*t(i). Find the third derivative of c(z) wrt z.\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 20*w + 46*w**2 - 5\/6*w**4 + 113\/3*w**3 + 1. Factor p(d).\nAnswer: -2*(d - 23)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 - 7*h - 2. Let q be z(2). Solve q*n = -4*b, -3*b = -5*b - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n + 8. Let p(d) = -n*d - d + d - d**2 + 2*d. Let q be -1*(3 + -1 - 0). What is p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832 = -117*s + 85*s for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-23498703904)\/(-155309))\/((-120276)\/26). Let l = f + 2\/3628583. Let s = l - -278\/9. Find the common denominator of -57\/7 and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 c, and 1 r when three letters picked without replacement from {n: 1, r: 1, s: 1, c: 1, d: 1, t: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 10 + -1 + -1 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3482 divided by -4771?\nAnswer: 3482\/4771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34672\/27405 - 6\/1015. What is the common denominator of ((-12)\/(-9))\/((-20)\/82) and a?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from {z: 1, y: 2, i: 1, f: 2, p: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4359920 rounded to the nearest one thousand?\nAnswer: 4360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*sqrt(561))\/sqrt(11))\/(-6*2*sqrt(147)).\nAnswer: -5*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26419, 28159, 29885, 31591, 33271, 34919, 36529, 38095?\n\"Answer: -d**3 - d**2 + 1750*d + 24671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10718 = 5*k + 3*l - 13725, 24442 = 5*k + 2*l. Suppose 5*v = 20142 + k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.879 + -4.923084. Let i = f + 0.044. Round i to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a decade?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 363917, 5 in decreasing order.\nAnswer: 363917, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:41 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -63*r - 7690. Calculate p(-122).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(704) + -6*(sqrt(704) + (sqrt(704) - (2 + sqrt(704)))) + 2 + sqrt(704) + -2 + 4.\nAnswer: -32*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 + 2*v**2 - 2*v - 1. Let b be z(-2). Let l = -275 + 261. Which is greater: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 2781?\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20095\/24 - -838. Let i = 6723 + -161459\/24. Calculate the common denominator of i and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.05 + 0.05. Let t = -67608961.00000136 + 67608965. Let g = a + t. What is g rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 80\/(-25) - -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 351 (b) -4 (c) -3\/5 (d) -3\/4 (e) -2\/5 (f) -6.5 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 + -59.725?\nAnswer: -183.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 + 4*u + 5. Suppose -4*r = 3*v + 275, 3*r + 4*v + 140 = r. Let m = r - -64. Let y be b(m). Solve 3 + 22 = y*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 12048592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 8. Let o be h(-6). Let x(g) = -2*g - o*g + g. Let k(r) = -5*r - 2*r + 5*r. Calculate k(x(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79991832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -77\/2. Let o = 0.6 - 1.2. Let l = o + 1.6. Sort v, l, -0.3.\nAnswer: -0.3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1449152, 1449175, 1449198?\n\"Answer: 23*i + 1449129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 234 - 240. Let b(w) = 7*w - 1. Calculate the remainder when b(5) is divided by (8\/c)\/(-2) - 285\/(-45).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4, 3*o = -m - 2*m + 96. Let v(l) = 6*l**2 + 119*l + 202. Let w be v(-18). Solve 10 - m = -w*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 16) in base 4?\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-10))\/((-2)\/16) + 7. Solve u + x*q + 11 = -3*u, -2*q = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.8? (a) 0.5 (b) 0.04 (c) 104 (d) 3 (e) -7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 - -130. Suppose -y - t + 8 = 3*t, -3*t - z = -y. What is the remainder when 101 is divided by (-2)\/((-40)\/(-15)) - (-126)\/y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -589, -882?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**2 - 2942454*g - 721502961843 = 0?\nAnswer: -490409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let j be o(5). Let k(t) = -81*t**3 + 9*t**2 + t + 1. Let c(s) = -20*s**3 + s**2. Let w(i) = -4*c(i) + k(i). Determine w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -74. Let x = w + 28.987. Let k = x - -0.012916. Round k to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1200)\/(-300))\/((-16)\/(-2))*38\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 150.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 14. Give y(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1765698?\nAnswer: 2, 3, 11, 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-16)*2*16\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51852 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-351))\/((-63)\/81).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/(-65) - 11\/10. Which is smaller: a or -2\/21?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332496 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606974074.\nAnswer: 2, 3, 144831893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*y - 1 - 3 + 5 to m*y + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1737*u + 1562. Let x(t) = -6*t - 1. Let d(o) = a(o) - x(o). Differentiate d(p) wrt p.\nAnswer: 1743","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -184*s - 648. Determine h(-3).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -53. Suppose p*c - 5*z - 1847 = 0, -5*z = 2*c - 2*z - 1887. Suppose 2*x - 11*x = -c. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288, -260, -198, -96, 52?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*x**5 - 7*x**5 + 5*x**5 + 0*x**5 + 2*x**5 - 3*x**5 + (-2*x - 2 + 2)*(-x + 2*x**4 + x) + (-x**3 + 5*x**3 - 2*x**3)*(-2 + 2 + 2*x**2).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 20*m**2 + 3*m + 2. Let t(i) = 6 - 5 - 60*i**2 - 9*i - 1 - 6. Let k(h) = -11*s(h) - 4*t(h). Is k(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -426559 < -426559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q + 1309. Let a(u) = 5*u - 434. Give 8*a(w) + 3*m(w).\nAnswer: -2*w + 455","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668, -2687, -6052, -10763?\nAnswer: -16820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45231.221 days to weeks.\nAnswer: 6461.603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 2, u: 2, z: 3}. Give prob of sequence hyh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 5*b. Let u(y) = -y**2 + 27*y - 57. Let x(h) = -2*u(h) - 2*z(h). Calculate x(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 8304240.\nAnswer: 8304240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 7 (b) 1 (c) -0.4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(448))\/(-2*sqrt(36)))**2 + -4.\nAnswer: 664\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:04 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 19 = 4*i - 6*h, -3*h - 9 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70\/51 - 12\/17. Let j(z) = -2*z**2 - 9*z + 42. Let p be j(3). Which is the fourth biggest value? (a) v (b) p (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 423*v**4 - 3*v**3 - 2992*v**2.\nAnswer: 10152*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -670997 or -671042?\nAnswer: -670997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m + 10. Suppose -11 - m = -8*v. What is the second derivative of -5 + 5 + 4*p**v + 0*p + 2*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -293222 - -293282.99978. Let o = a + -61. What is o rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a79 (base 13) in base 14?\nAnswer: 30a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m + 648 = -47*m. Let s = -97 - m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/7, -2\/5, -0.23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 5 - (-27 + 46 - 23 - 23)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2445982, 2445985, 2445988, 2445991?\n\"Answer: 3*l + 2445979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 12 + 0)*(1 + 0 - 2) + 0 - 6 - 7)*(0*s - 2*s**2 + 0*s).\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 12*l**2 + 12*l - 6. Let x be n(11). Let t(u) = u**3 - 6*u**2 + 5*u + 4. What is t(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2176 and 96662?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2. Let o(s) be the third derivative of s**6\/60 + s**5\/15 + s**4\/12 - s**2. Let b(m) = 4*o(m) + 12*z(m). Solve b(l) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 5*l**3 + 7*l**3 - 27 - 19*l + 4*l**2.\nAnswer: 12*l**3 + 4*l**2 - 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 5*v**8\/28 - 11*v**4\/6 - 18*v + 8. Let z(x) be the first derivative of f(x). Find the third derivative of z(u) wrt u.\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171) + sqrt(171) + 0))**2*5*4.\nAnswer: 342000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*k + 50 = -330, k = -3*a - 281. Suppose -3*s - 117 = -129, -l - 5 = -0*s - s. Put a, l, -4 in ascending order.\nAnswer: a, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.11 - -0.89. Which is the closest to 1? (a) -1\/6 (b) -0.4 (c) f (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3928445 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -109. Solve -k = -2*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {w: 9, d: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 6 (c) -0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 2174\/121?\nAnswer: 2174\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 2. Suppose w = 8*w - o. Solve 12 = 4*r + 3*v - w, -r + 4 = v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 83.\nAnswer: 5.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**3 - 135*n**2\/2 + 378*n + 7935. Suppose m(i) = 0. Calculate i.\nAnswer: 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70429a (base 11) to base 15\nAnswer: 175aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -27, -33, -39, -45?\n\"Answer: -6*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2 - 14. Suppose -f + 565 = 3*z, 0 = -d*z + 2*f - 5*f + 755. Let l = -57 + z. Does 30 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3372, -12958, -28760, -50778, -79012, -113462?\nAnswer: -154128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**4*f**2 + 143126*b**2*f**3 - 3*f**3 - 12084 wrt b?\nAnswer: -4*b**3*f**2 + 286252*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/3)\/(9\/1863). Which is smaller: -140 or b?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 0*c + 5 - 7*c - 4*c. Suppose 4*g - k = 5*g - 8, 0 = g - k - 6. Let u(y) = 4 - 9 + g - 5*y. Determine -5*u(n) + 2*v(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 6*q = -8*q + 24. Is 3\/1606 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -324 and 955.\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -179, -190, -217, -266, -343, -454?\n\"Answer: -q**3 - 2*q**2 + 2*q - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5232139*i*w**2 + 99*i - 6777 wrt w.\nAnswer: 10464278*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8 - 3 + 3 - 2*w. Let u be q(-6). Suppose -c - 5*v = -31, c - 2*v + 28 = 4*c. Solve -c*i = -4*i + 2*g, -6 = i + u*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8574358 litres?\nAnswer: 857.4358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 168, 200, 270, 396, 596, 888?\n\"Answer: 3*l**3 + l**2 + 8*l + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/((-21)\/(-14)). Let u be (-12)\/3 - (24 + -15). Which is the fourth smallest value? (a) u (b) o (c) 5\/6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159861981.\nAnswer: 3, 53287327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -545, -1034, -1389, -1544, -1433, -990, -149, 1156?\nAnswer: 2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*v - 505 = 212*v + 3*s, 0 = -4*v - 3*s + 1001. What is the remainder when v is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153919643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005092892 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5, 3*h - 19 + 5 = -4*p. Let z(x) = 3*x. Let j be z(1). Solve 0 = q - j*q + h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116288 is divided by 219?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 * 0.014\nAnswer: 0.00392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -1 - (3 + 9 + -25 + 12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5551 and 2931782?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1411\/3, -4\/5, 2, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 2. Let f = 5 + 1. Suppose 5*i = f - 1. Calculate the least common multiple of i and v(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = 24*r + 127 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/64 (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -110*b - 24. Let v(x) = -2*x + 1. Let l(h) = -t(h) + 4*v(h). Find the first derivative of l(p) wrt p.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317 = -7*j + 303 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10861 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 2, -1, 4, -4, -2 in increasing order.\nAnswer: -49, -4, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1346221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43752 and 95196?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-13\/5)))\/q**5 assuming q is positive.\nAnswer: q**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**3 - 14*x**2 + 28*x - 14. Let g(y) = -2*y**3 + 5*y**2 - 9*y + 5. Calculate -5*a(t) - 14*g(t).\nAnswer: -2*t**3 - 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*r = 16, -b = b - 2*r - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 426752610 divided by 6?\nAnswer: 71125435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -1, 0.2, -5, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/100*-5)\/(3\/(-22))*2436\/174.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 18 = u, -4*z - 5*u + 27 - 3 = 0. Suppose -4*l - z + 18 = 0, 0 = 3*j - 2*l - 18. Let a = -62 + 118. Calculate the highest common factor of a and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26\/(-4) + 6)\/((-15)\/(-4)). What is the nearest to -2 in -0.2, -4, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 88 + 15*g.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1 - 29*u + 33*u + 6. What are the prime factors of x(20)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c + 164 = 0. Let l be ((-1)\/3)\/(c\/(-54) + 3). Solve 2*d - l = -1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k**2 - 64*k**2 + 18*k**3 + 16*k**3.\nAnswer: 34*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/5, 5, -6 in descending order.\nAnswer: 5, -3\/5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgwuwwwmwuuuwwggyym. Give prob of picking 1 u and 2 m.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 425 and 935.\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2352511\nAnswer: -2\/2352511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 67. Let r be q(-14). Let n = 5 + -4.8. Which is the closest to r? (a) -0.5 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241191791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2991348114?\nAnswer: 2, 3, 79, 359, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (102\/18 + -5)*(-3 - -708)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996807 is divided by 153532.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 56*v**2 + 103*v + 89. List the prime factors of j(-53).\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.43, 1\/2, 2, 4, -0.4, -9.\nAnswer: -9, -0.4, 0.43, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27020 + -5478?\nAnswer: 21653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 + 18 = 0. Put 1, 355, s in increasing order.\nAnswer: 1, s, 355","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524 + 7873 = -127*h - 1446 + 191 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 3, y: 1, x: 1, g: 4, t: 1}. What is prob of picking 1 g, 1 t, and 2 s?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*b**4 + 378*b - 9217?\nAnswer: 124*b**3 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 1 + 4*j + j**2 + j**2. Let y be h(3). Suppose 0 = -6*d + 2*d + y. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -18 + 4 + -3 + 7 + -19?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8554009, 17108012, 25662015, 34216018?\n\"Answer: 8554003*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a96 - 58?\nAnswer: -a043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -95571 (base 15) to base 2\nAnswer: -1110011101010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*q - 16107 + 2571 = -185*q. What are the prime factors of q?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 30*x**2 + 32*x + 36. Let n be s(-31). Solve 15 + 10 = -n*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 161 - 1035 = -2*s, 0 = -l + 3*s + 1221. Suppose -24 = 1214*q - l*q. Does -11 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -23*p**2 + 2*p - 2. Let t be c(2). Let k = t - -133. Let v = -20 + 42. Calculate the remainder when k is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 22. Let u = -458 - -452. Calculate the remainder when 301 is divided by g(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*t - 267*t = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-28875)\/17325*(2\/2 + 26)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 517 and 183 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 63*s - 487. Give i(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k + 1\/2*k**3 + 0*k**4 - 1\/120*k**6 + 0 + 0*k**5 + 3*k**2. Differentiate r(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1936.7 - -1937. What is the fourth smallest value in 5, n, -4\/3, 2\/3, 1\/81?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 56.26777cm?\nAnswer: 0.5626777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/9))\/((h*h**(-4))\/h))**(-48) assuming h is positive.\nAnswer: h**(-848\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*i - 27 = 0, 4*o - i - 9 = 2*o. Suppose o*g - 53 = 3*g - 4*q, -3*g + 41 = -2*q. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**2 - 10*b**2 + 14*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00211 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.991 + 14. Let y = 0.991 + j. Suppose 3*a - 4*o = -8, 28 = 2*a + 8*o - 4*o. What is the nearest to 0.2 in -5, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5 - 19) - (-400 - -479)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z - 206. Determine r(56).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453 + 447 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8130 = 5*b, 4*l - 2771 - 2102 = -3*b. Suppose 8*o - b = o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -1\/16*q**8 + 0*q**6 + 0*q**5 + 43*q**2 + 0*q + 11\/24*q**4 + 0*q**3 + 0*q**7 + 0. Find the second derivative of l(j) wrt j.\nAnswer: -420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326 by -5.\nAnswer: -326\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9964 + -7892. Calculate the smallest common multiple of q and 10.\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708 and 570530.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 + 5. Let t be d(3). Suppose 10 = t*a - 70*a. Let f(y) = -y**3 - 3*y**2 - 13*y - 9. What is the least common multiple of f(a) and 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (181 - 184)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3888719 + -20?\nAnswer: -3888739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134569259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, 213888.\nAnswer: -1, 1, 4, 213888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 921480 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 5*f - 385. What are the prime factors of p(-27)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-75)*-6*-20. Let k(x) = x**2 + 8*x + 5. What is k(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 4 = -4*g + 3*s, 0 = -s - 8. Put -23, 28, g, -4 in ascending order.\nAnswer: -23, g, -4, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 3*p**2 + 5*p - 3. Let v be s(4). Let c = 2 + v. What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 60\/21)*2. Which is the smallest value? (a) 2 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let p(f) = f + 6064. Calculate n(p(i)).\nAnswer: i + 6064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 27 = 91. Suppose 10*t = 8*t + m. Calculate the lowest common multiple of 12 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/60 and -117\/560.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 728875 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 13. Which is the nearest to -1? (a) 0 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24021936 and 216?\nAnswer: 72065808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -11. Let j be b\/6 + 185\/(-15). Let a = j - -18. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(98) + 3)*2)**2 + 1.\nAnswer: 112*sqrt(2) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l - 295. Determine s(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((-11)\/(-3) - (-4)\/12). What is the smallest value in q, -14, 0.4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from jlcxlxx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5129633439 to the power of 1\/2, to the nearest integer?\nAnswer: 71621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 0*a + 2*a - 4*a - a + 4*a + (1 + 3 - 2)*(a - a + 2*a) - 2*a + 1 - 1 + 154*a - 5 + 6 + 280*a to the form x + i*a and give i.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/2 + 15*v**4\/2 - 67*v**3\/2 + 129*v**2\/2 - 56*v + 18 = 0. What is v?\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 45*w + 141. Calculate d(0).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7224)\/(-2752)*((-45)\/(-35))\/3?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 3*i - i + (1 + 0 - 3)*(-i - 5*i + 3*i) - 688*i + 8534*i + 2 - 875*i + 4958*i.\nAnswer: 11936*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5083082*a. Let d(c) = 80*c. Give o(d(t)).\nAnswer: -406646560*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1436 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:24 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49316 * -498.\nAnswer: -24559368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 12*o - 10. Let w be x(-7). Suppose 5*g - 4*n - 33 = 0, 3*g - w*n = 23 - 8. Solve -4*r - g + 13 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -951735, -3806919, -8565559, -15227655, -23793207?\n\"Answer: -951728*i**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1590 - -290. Round d to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-15 - (-22 - -13))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002805838 rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 19 = -31. Suppose 12 = g*n - 3*b + 2, -20 = -3*n - b. Let x(o) = -o**2 - 3*o + 2. Let d be x(-3). Solve -d*h = -5*j, n*h - h + 20 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 4*c. Suppose c = -0*f + f. Solve 2*h - 4*q = 7*h + 18, -h - 6 = f*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 8. Let d = 151436 - 151431. Let f = -5.03 + 5. What is the nearest to 2 in f, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.35 and -0.06?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2373, 2371, 2369, 2367?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 842711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -15472343*m. Let n(f) = 3*f**2. Give h(n(g)).\nAnswer: -46417029*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 5:31 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Let z = -109.11 + 110. Let q = z + 0.11. Which is the nearest to q? (a) l (b) -1 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -26) + -16 - (12 + 2 + -82).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.9329414s?\nAnswer: 0.0013702615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u + 41*u - 80*u + 13*u + 14*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - s**2 + 226*s - 1134. Give q(5).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/5 - 2*d**3 + 8*d\/5 = 0?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 50. Let v be u\/85 + (-86)\/(-10). Suppose -2*r - v = -n, 3*n - 6 = 3*r + 12. Solve 0*f - n*f - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 h when three letters picked without replacement from cbcccsbcchhcc.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*m**3*s + 1834*l**3*m**2*s + l**2*m**3 - 73*l**2*m**2*s + 2*m**3*s wrt l?\nAnswer: -12*m**3*s + 11004*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w**3 - 3*w**2 - 3*w - 3. Let c be o(-5). Let k be c\/(-6) + (-14)\/(-21). What are the prime factors of k\/15 + 2\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -18 + 0*v**2 - 2*v**2 + 4*v**2 - 17*v - v**2. Let g be b(18). Suppose -5*a = 3*c - 70, 0 = 2*a + 2 - 0. Solve c = 5*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1159*r**2 + 24*r - 76. Is v(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 6 = -k. Let c = -3 - -4. Calculate the smallest common multiple of k and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, 186181, -2\/11?\nAnswer: 186181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 9*u - 22. What is a(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*t - 4 = 0, -4*j + 2*t + 2 = -0*t. Suppose 0 = -j*u + 2*u - 64012. Let a = u - 142006. What is a rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 10*y + 11*y = -33, 5*y = -h + 24. Let n(c) = -c - 8*c - c + h*c. Determine n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(12915\/(-42)) - 218*(-21)\/(-90)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 6:04 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 4*y**2 + y**2 + 6*y - 6*y - 6*y**2 + (-3 + 3 - 4)*(-5*y**2 + 3*y**2 - y**2).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + sqrt(192) + (sqrt(192) + -3)**2 + sqrt(192) - (3 + ((sqrt(27)\/sqrt(9)*5)**2 - sqrt(3)))).\nAnswer: -31*sqrt(3) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020000 (base 3) in base 4?\nAnswer: 121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 87a + -3?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2624 and -81\/8528?\nAnswer: 34112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(2 + 2) + 203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 6. Determine u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150.27309 months to years.\nAnswer: 12.5227575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(80) - (sqrt(90)*3)\/sqrt(9))\/(sqrt(128)*-1 - sqrt(24)\/sqrt(3)*-6).\nAnswer: -11*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199975 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, -0.1104, 0.04, 5, 29 in decreasing order.\nAnswer: 29, 5, 0.04, -0.1104, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 234a4 + -21?\nAnswer: 23483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + 39aa6?\nAnswer: 3a013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19902440.3 rounded to the nearest ten thousand?\nAnswer: 19900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - -3 - -2 - 3. Suppose 7*v - 4*v + 2*q - 8 = 0, 4*v - q = 7. Put v, 4, c in decreasing order.\nAnswer: 4, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o. Let k(s) = 0*s + 2*s - 5*s + 11*s. Let u(j) = 6*b(j) + 7*k(j). What is the least common multiple of 4 and u(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 652*i**2 + 12*i + 1. What is the tens digit of p(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2*b**5\/15 + 22*b**4\/9 - 182*b**3\/27 - 22*b**2\/3 + 16*b + 389. Let i(y) = 0. What is y?\nAnswer: -1, 2\/3, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 4*u - 5*r, 23 + 38 = 4*u + 5*r. Suppose u = -p + 54. Find the common denominator of -51\/7 and (119\/p)\/((-6)\/20).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/150 - 437\/(-15). Suppose 7 - l = 3*c - 2*k, -4*c - 2*k = 48. Does 2 divide c\/(0 - 5) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r + 2. Calculate q(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 + 8*a**2 - 2*a - 5691000. Let h be q(0). Round h to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/6 + (-2022450)\/(-450)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4063 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + (-6 - (-4 + -6 + 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5251158817 to the nearest integer?\nAnswer: 72465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 426*y + 151032. Give x(-355).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2211 + 2237. Solve l + l - 4*t = -a, 0 = -l - 4*t + 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2441.1081 + -2441. Let k = 0.0942 - w. Round k to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 5*q**2 + 0*q**2)*(4467 - 2618 + 2589).\nAnswer: -8876*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**3\/3 + 4*u**2 - 5*u + 12. Suppose -55 = -3*n - 2*n. Suppose -9 = -4*a + n. Calculate p(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6724 less than 9712321625?\nAnswer: 9712328349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/216864445 and 87\/8?\nAnswer: 1734915560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + g - 32. Let v be u(-8). Suppose -4*i = 4*s - 3*s - v, -4*i + 68 = -4*s. What is the remainder when 167 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-317))\/((-30)\/(-5)). Let w = h + -27563\/7608. Calculate the common denominator of w and 89\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 + 5*q + 3*q**4 - q**2 + 0 - 5*q**3 - 3 = 0. Calculate q.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/7)*a*a**(-3\/2)\/a)\/(a**(1\/4)*a)**(-39))**(-33) assuming a is positive.\nAnswer: a**(-44847\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + b + 4*b - 5. Suppose -1098 + 4220 = 446*i. Calculate q(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*l**3 + 157*l**2 - 85079*l wrt l.\nAnswer: -252*l + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 847881949 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*j**3 - 23*j**3 + 6*j**3 - 6 + j**2)*(7 + 16 - 7)*(5 - 5 - 3*j) as g*j**3 + r*j + z*j**4 + c*j**2 + d and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6167.688ug?\nAnswer: 0.006167688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 664824 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**6\/360 - 7*m**4\/12 + 21*m. Let r(p) be the third derivative of v(p). Let u(n) = -16*n. Determine u(r(w)).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49394?\nAnswer: 2, 24697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -151856 (base 12) in base 8?\nAnswer: -1266202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103 divided by 701?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0*v**2 - 2 + 0*v**3 - 36*v + 1\/3*v**4. Let y(w) = -23*w**2. Determine x(y(p)).\nAnswer: 2116*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*3\/(54\/3). Let a = -1 - h. Let w = 0 + 0.1. What is the closest to w in a, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 6:42 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.59 + -83.59. Which is the nearest to q? (a) -7 (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 96*y. Let s(a) = -1402*a**2. What is b(s(w))?\nAnswer: -134592*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 5:01 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*g - 2 + 2 - 28*g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((5*(0 + sqrt(931)) - (1*sqrt(931)*-1 - sqrt(931)))**2 - (sqrt(931) - (sqrt(931)*-2 + -1) - -2*sqrt(931)*2)**2) + 3).\nAnswer: -490*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 4*l = -30*j + 373 - 389, 0 = -2*j - 4*l - 26 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38521 is divided by 1257?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008548 rounded to 4 dps?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o + 4. Let v be u(0). Suppose v*j + 2*g - 166 = 0, 0*g - 2*g = -3*j + 121. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1199.9 - 1098. Let x = 261 + -152. Let d = y - x. Round d to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 8:17 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11325988 divided by 10.\nAnswer: -5662994\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z. Let i(b) = -1550*b**2 - 4083*b + 2. What is n(i(l))?\nAnswer: -6200*l**2 - 16332*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2108 and 2108?\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (-1)\/(12\/182) and (10777\/3978 + -3)*3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y + 15. Let b(u) be the first derivative of -2*u**2 + 13 + 85*u - 82*u + 5*u**2 - u**2. Calculate b(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*y - 15 = 0, -9*t + 15 = -7*t - 3*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/7 + 13*a\/7 - 12\/7.\nAnswer: -(a - 3)*(a - 1)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**3 + 4*s**3 + 18*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 38. Let x(v) be the first derivative of 0*v + 0*v**2 - 1 + 1\/3*v**o. Let b(r) = 2*r. What is b(x(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*d**3*w**2 + 491184*d**3 + 44*d**2*w**2 - 21477*d + 2*w**2 - 1 wrt d.\nAnswer: -558*w**2 + 2947104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(1\/3)*g)\/g)*g)**(-1\/3)*g\/g**(5\/3)*g**2)\/(((g*g**(-1\/4))\/g*g)**(2\/3)*g\/(g*g\/g**(-7))*(g\/(g*g\/(g*g**8)))\/g) assuming g is positive.\nAnswer: g**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6960\/1740)\/(((-4)\/29)\/1)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, t: 3, e: 2}. What is prob of picking 3 m?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1991682 divided by 25866\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -102, 6 in decreasing order.\nAnswer: 6, 1, -1, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r + 5*i + 63, 2 = r - 4*i. Let v be 7 - ((-2 - 0) + 2). Suppose -r + v = -5*c. Solve -a + 8 = -c*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.96 + 0.04. Let l be (7\/(-28))\/((-11)\/(-8)). Which is the third smallest value? (a) l (b) w (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*(-10)\/(-50))\/(606\/13615). Let h = t + 2\/303. Factor -h - 3\/2*l**2 - 6*l.\nAnswer: -3*(l + 1)*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4552 and 29154422.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5783 + -161603.\nAnswer: -167386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41794.1 - 41774.8589. What is u rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 9*v + 4. Let q be t(8). Does 6 divide 0*(-4)\/q + 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 33*d**2 + 201*d + 6. Let g be v(25). What is the second derivative of -23*l + 40*l - 73*l**3 + g*l + 12*l wrt l?\nAnswer: -438*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 10. Let t be l(4). Suppose -s + 5 - 1 = 0. Suppose 4*z = -4*u - 9 - 3, 3*u + 7 = -s*z. Solve -4*x + 2 = -x + z*j, t*x - 13 = j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 778470 and 1774850?\nAnswer: 1794373350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 23*j - 740. Calculate the highest common factor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-172)\/(-14) - 6\/21. Suppose 0 = 3*o + l - f, -2*l = -l + 3. Suppose o*s = -0 + 15. Solve -w = 4, k - 2 - 6 = s*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 11. Calculate the common denominator of ((-5430)\/(-216))\/5 + u and -65\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*u + 11*u - 20, 8 = 4*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.02 (c) 59\/2 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 61. Let k(n) = n**2 + 4*n + 8. Let x(b) = -4*b - 7. Let a(q) = -3*k(q) - 4*x(q). Let c(s) = 4*s**2 - 5*s - 5. Calculate m*c(t) - 5*a(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (254\/(-1143))\/(-1 + 2 - -2 - (-784)\/(-72)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 30 + -6 + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -0.5 (c) 2\/313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 3 - 12 = 0. Sort g, -2, -15 in decreasing order.\nAnswer: g, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -42*w - 17*w - 6*w. What is the remainder when s(-1) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.44 + -0.383. Let o = -4.057 + a. Let u = -1\/16 - 27\/80. What is the closest to u in o, -1\/2, -9\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11\/((-88)\/72))\/(-3) - -120 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5465*h + 5464*h + 5468*h - 16397*h - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (256\/16)\/16*-11*-5\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504025.7638 minus 2073.24?\nAnswer: 501952.5238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -71*w + 76*w + 18, w = -4*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 23. Let q(t) = 62 - 62 + 10*t**y. Let r(p) = p**2. Give r(q(a)).\nAnswer: 100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9746 + (-19 - (-84)\/14)?\nAnswer: 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56439 is divided by 28179?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0064 - -38.\nAnswer: 38.0064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 135067?\nAnswer: -135062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/(-12)*(14 - 6). Suppose 0 = -5*j + x + 24. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let m(y) be the second derivative of 13*y**5\/120 - y**4\/24 + 28*y**3\/3 + 131*y. Let l(j) be the second derivative of m(j). Calculate l(z(u)).\nAnswer: 26*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2 + 4. Suppose -6 = -4*z - h. Differentiate 3*l - l - 1 - z wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 3 + -6 + (-1 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -155, -203, -321, -545, -911?\n\"Answer: -6*k**3 + k**2 - 9*k - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - ((-10 - -20) + -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 2814\/(6 - 13). Let i = 377 - a. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3040\/13 + -234. Let l = 1\/2 - 1\/4. Let r = 0.218 + -0.218. Which is the closest to r? (a) l (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110202111012 (base 3) to base 15\nAnswer: -266c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14987*j*t**3 + 333*t**3 + 7*t**2 - t wrt j?\nAnswer: -14987*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33\/12)\/((-1)\/(-4)). Let q = 9 + -8. Suppose 3*z - q = f. Calculate the highest common factor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o - 1. Let j be w(1). Suppose j*s + 2*s = 15. Put 4, -1, s in increasing order.\nAnswer: -1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -11235, 2\/271, 0.2 in ascending order.\nAnswer: -11235, -1\/3, 2\/271, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 + 1727*u**2\/4 - 45671*u\/2 - 201977\/4 = 0. Calculate u.\nAnswer: -17\/8, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 19*f**2\/3 - 88*f\/3.\nAnswer: -f*(f - 11)*(f - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1643 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427604 a multiple of 1604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387544278 to the nearest integer?\nAnswer: 19686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let n(v) = 6*v + 6. What is n(m) + 8*u(m)?\nAnswer: -2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 375319663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -50. Suppose -b + v + 69 = 3*b, 4*b - 5*v - 89 = 0. Suppose 3*u - 3 = -4*i + i, -i + 4*u + b = 0. What is the second smallest value in m, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -12*c**2 - 16*c**2 + 12*c**2 + 1954*c + 18*c**2 = 0.\nAnswer: -977, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.101 + 8.001. Let j = -7.7 + p. Which is the second smallest value? (a) -0.5 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, -39, -299, -841, -1761, -3155, -5119?\n\"Answer: -16*f**3 + 3*f**2 + 29*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8.4 - -12\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q. Let v(h) = 3*h**2 + 5*h - 1. Let f(y) = -c(y) + v(y). Let o(i) = -15*i**2 + 5*i + 6. Calculate 11*f(w) + 2*o(w).\nAnswer: 3*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 8:48 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41, 6, -678.7?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203.4 + -201.4. Sort u, -275, 3, -5.\nAnswer: -275, -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 847, 501, 155, -191, -537, -883?\nAnswer: -1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1279 (b) -13 (c) 0.5 (d) 22.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -40*g + 750. Give a(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0084695872 rounded to four decimal places?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195884 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2077628 divided by 14\nAnswer: 148402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 250. Suppose -5*i - 375 = z. Let c = -32 - i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/4 - 445*d**3\/2 - 66156*d**2 - 6615008*d - 12967168 = 0. What is d?\nAnswer: -296, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**6\/120 + 2*i**5\/15 + i**4\/6 - 3*i**3\/2 + 8*i**2. Calculate v(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ae - 28c?\nAnswer: -de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-2*-2)\/(1*sqrt(200))*-6)\/(-1*sqrt(300)*5 + (1*sqrt(300) - ((sqrt(72) + sqrt(18))\/sqrt(6) + sqrt(3)))).\nAnswer: 3*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -11*h**4\/6 + 11*h**2\/2 + 19*h - 17. Let x(z) be the first derivative of t(z). What is the first derivative of x(c) wrt c?\nAnswer: -44*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 15, 34, -3348, 5.\nAnswer: -3348, -7, -5, 5, 15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1527 + 3393. Round q to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24739 is divided by 12359.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22001 - -44711. What are the prime factors of a?\nAnswer: 2, 3, 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k**2 - 2*k**2 + 2*k**2. Let o(n) be the first derivative of 0*n - 4\/3*n**3 + 0*n**2 - 257. Determine o(u(a)).\nAnswer: -400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517387547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3788088985?\nAnswer: 5, 757617797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 8. Calculate the greatest common factor of 18 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**2 + 49841910*f + 124210799622405 = 0. What is f?\nAnswer: -4984191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*t = 376*t + 55 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/19805 and 37\/270.\nAnswer: 1069470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -851*h + 851*h + 59 - 2*h**3 to a + b*h**3 + g*h**2 + t*h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 31*n**3 + 155*n**2 + 155*n - 155. Let j(x) = -x**2 - x + 1. What is -620*j(i) - 4*r(i)?\nAnswer: -124*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-28 - -14) + 5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 7611 = 4351. Suppose -2*j - c = -329, -2*j - 2*j = 3*c - 661. Solve j - 4*q**5 - h = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 23*j. Let n(t) = -t**2 - 11*t. Let v(z) = 6*b(z) - 13*n(z). Factor v(y).\nAnswer: y*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.4 (c) 1\/16 (d) 3 (e) 0.092\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -16\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 362825993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4107\/5 - 821. Factor 0 - w*p**2 - 2\/5*p.\nAnswer: -2*p*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 845691 and 3885.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*i**3 + 0 - 2\/5*i**5 + 2\/5*i**2 + 6\/5*i**4 + 0*i.\nAnswer: -2*i**2*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 - 22*i - 5. Let l(q) = 1. Let k(h) = 6*l(h) + x(h). Let j(g) = 11*g**3 - 4*g**2 + 2*g + 1. Let o be j(1). What are the prime factors of k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -14, -1\/7, 0.03931.\nAnswer: -14, -0.21, -1\/7, 0.03931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -3 (c) 2\/9 (d) -3\/2 (e) 455\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 106?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3232 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 + 2 = -5*c, -3*b + 2*c + 22 = 0. Solve 2*f - 2*r = 6, -4*f + b = -r - 2*r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1722962?\nAnswer: 2, 197, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1069.766.\nAnswer: 2139.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3772674 divided by 6\nAnswer: 628779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2150 divided by -5.\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11471544 and 4374.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Suppose b*t = 29 + 71. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*w - 9 = -3*w, 8 = 2*y - 4*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*v = 21*v. Solve v = -10*f + 58 + 12 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1131*a**3 - a**2 + 33*a + 34. What is the units digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*i**4*k**3*m - 6796*i**3*k**3*m - 31*i**2*k**2 - 2*i*k**3*m + 2*i*k**2*m + 134*i*k*m wrt i?\nAnswer: -312*i*k**3*m - 40776*k**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000199897 rounded to six dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -886.\nAnswer: -5\/886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**3 + 6*g - 2. Let t(c) be the second derivative of c**5\/5 - 5*c**3\/6 + c**2 - 22*c + 36. Let w be ((-8)\/6)\/(4\/(-18)). Calculate w*t(b) + 5*u(b).\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12393 = 12*y - 14787. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 410.1889ng?\nAnswer: 0.0000004101889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -413 + -2 + 2\/(-1) + 2. Is x equal to -415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -5*t**6\/6 - 7*t**5 - 85*t**4\/4 - 85*t**3\/3 - 15*t**2 - 105. Find f, given that j(f) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -235. Let r = 382 + -370. What is the remainder when b is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037941 to 4 dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(10)\/(sqrt(20)\/sqrt(4)) + sqrt(128) + 0 + (sqrt(128) - (sqrt(2) - 1*sqrt(8))))**2*-1.\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 + -5 + (-7 - 4) + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -32, 740, 4, -8, -4 in decreasing order.\nAnswer: 740, 4, 0, -1, -4, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**2 + 3*c**3 + 0*c**2 - 5*c**3 - 2*c**3 wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.16 + -9. Let l be 160\/(-96) + 17\/3. Let k = -1\/43 - 40\/129. Which is the closest to k? (a) l (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 less than 127728.36707?\nAnswer: 127679.36707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.76073cm in micrometers?\nAnswer: 347607.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, y: 6}. Give prob of sequence fff.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2063 (base 16) to base 7\nAnswer: 33113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 205604.4 (c) -5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1296\/(-112))\/9*((-10)\/(-50))\/(21\/35)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 8*n**2 + n + 10. Let z = 21 + -29. Let s be d(z). Solve -5*a - x + 20 = 0, -2*a + s*x + 6 = -2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/30)\/(5\/(-6))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 11 + 21. Suppose -51 = w*v - 56. Suppose 3*h - 14 = v, 711 = 4*p - h. What are the prime factors of p?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**2 - 5*l**2 + 3*l**2)*(8*l - 6*l + 9*l) - 25*l**2 + 4*l**2 + 2*l**3 + 0*l**2 to the form j*l**3 + v*l**2 + a + k*l and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17850, 35822, 53794?\n\"Answer: 17972*l - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49747888 is divided by 16582620.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 2*t**3 + 6. Let h(l) = l**2. Give -14*h(o) + 3*p(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 382, 14, 2, 1, 46 in decreasing order.\nAnswer: 382, 46, 14, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3639 + -411. What are the prime factors of z?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -1)*-1*35\/14. Let c(v) be the second derivative of 0 + 1\/40*v**6 + 0*v**2 + 3\/4*v**4 + v - v**3 - 9\/40*v**d. Solve c(r) = 0 for r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -37.85. Which is the smallest value? (a) d (b) 5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 941*u**3 + 2.\nAnswer: -941*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - 190*b - 198*b + 377*b to a + k*b and give a.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*g + 20 = 2*v, 2*v + g = 5. Let c(b) = -56*b - 2*b**2 + 10 + 1 + v + 33*b. What is the tens digit of c(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -160, 5879, -3, 1?\nAnswer: 5879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (810\/(-63))\/10 + (-1008)\/(-98)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 4694 + 16495. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5 - 2. Suppose -5*i + 2*i = j*k + 3, -26 = -2*k + 5*i. What is the tens digit of 9 - -2*3\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-42))\/(32\/56)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*k - 41*k**4 + 14*k + 10 + 16*k + k**3 + 40*k**4 + 65*k**2 - 34*k**2 as m + r*k**2 + b*k + j*k**3 + a*k**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -571665, -571693, -571745, -571827, -571945, -572105?\n\"Answer: -y**3 - 6*y**2 - 3*y - 571655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 20*p + 220. Let k be j(-9). Let a = -6 - -30. Suppose w = -2*w + a. What is the highest common divisor of w and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7182 and 1178?\nAnswer: 222642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 5*k + 529. What is the units digit of u(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u*(u**(-26\/7)*u)\/u)\/u)*u)\/(u\/(u\/(u\/u**24)))*u**(-10)\/u**(-3\/7))**(-19) assuming u is positive.\nAnswer: u**(-2413\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 14*a - a - 5.\nAnswer: -15*a + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40293450 and 2700.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*b - 4*d, b + 3*b - 5*d = 84. Suppose 4*k + b = 5*k. Let u = -1 + k. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12.5 and -256 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*y**2 - 221*y**2 + 85*y**2 + 77*y**2.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 4*f - 20 + 6.\nAnswer: -4*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*x**3 - 3293*x + 220*x + 5*x**2 - 694*x - x**2 wrt x.\nAnswer: -930*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + 1001?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-351.\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 6*w)*(-w - 1 + 1) + (0*w + w - 3*w)*(3*w + 0*w - w) - 5*w**2 + 3*w**2 + 4*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1287 - 8?\nAnswer: -1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + sqrt(275) + 2*(-1 + sqrt(275)) + sqrt(275) + 0 + ((4 + sqrt(11) + -2*sqrt(11) + 2 + sqrt(11))*-4)**2.\nAnswer: 25*sqrt(11) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 285, 430, 583, 744?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*u**3 + 283*u**3 - 86*u**3 - 216*u**3.\nAnswer: -221*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i - 5 + 0 - 2*i + 2. Let r(q) = q + 3. Let m be r(2). Calculate t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 18*j. Let g(x) = x**2 - 19*x + 1. Let q(y) = -4*g(y) + 5*r(y). Let p be q(16). Suppose 3*n + 4 - p = 0. Is 9 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -197 and -235 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**3 + 7*u**2 + 15*u. Let r = -2452 + 2446. Let l(s) = -3*s**3 - 3*s**2 - 7*s. What is r*g(n) - 13*l(n)?\nAnswer: -3*n**3 - 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34934\/9 + 3883. Put 2, x, -0.3 in decreasing order.\nAnswer: 2, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.4, 1.8, -46636?\nAnswer: -46636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*d - 16*d - 22*d)*(-13*d**2 + 0*d**2 + 26*d**2).\nAnswer: -234*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 1669236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 + -13)*3\/6. Which is the third smallest value? (a) 2\/11 (b) -0.23 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(98)*5 + 1 - -1*(-3 + 4*(sqrt(98) + sqrt(98) + -1 + sqrt(98))))**2.\nAnswer: -238*sqrt(2) + 28323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 262.6 - 726.56. Let p = b + 464. Let d = 65\/2 + -33. What is the nearest to 0.1 in 2\/11, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 2*-2*3*((sqrt(425)*-2)**2 + -1) + 5)*-3.\nAnswer: -61134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 18 = -v, -4*z - 40*v = -z - 140 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.05 - 4. Let h = 15.6 - -43.1. Let y = -59 + h. Which is the third biggest value? (a) 5 (b) l (c) y (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -35*m**2. Let y(p) = -p + 1. Let z(s) be the third derivative of s**4\/24 - s**3\/2 + 16*s**2. Let i(d) = 3*y(d) + z(d). Calculate n(i(o)).\nAnswer: -140*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19733629 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -38. What is the smallest value in -2\/7, z, 34, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + s = -3, 2*s - 25 = -3*s. Suppose -2*b + 8 = 4*i, -4*i - 4 = -3*b - 12. Find the second derivative of 4*v**d - v - 3*v**2 + 0*v + v**i wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - (3 - (-1 - -2)). Let x = -15 - i. Let a(b) = -b. Let c(m) = 4*m - 1. Let v(o) = x*a(o) - c(o). What is the first derivative of v(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*h**2 - 1116*h**2 + 346*h**2 + 5*h**3 - 16*h**3 + 385*h**2.\nAnswer: -11*h**3 - 237*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10354*k + 5363352. Determine t(518).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = r - 2. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 6. Let p be m(4). Let k(s) = s**3 - 2*s + 1. Let w be k(-3). Let a be -5*(56\/w - -2). Solve p*d = a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158759 equal to -3.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0571 times 0.3?\nAnswer: 0.01713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from rssssrss.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3 and 77\/587955.\nAnswer: 587955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 2, 0, 8\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 4e?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239 or -245?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -15*i - 0*i - 16*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.094 - 0.474. Let n = 0.38 + u. What is the nearest to -0.1 in n, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4571 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 3, b: 6, p: 7}. What is prob of picking 1 v and 3 k?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 456491 = 275509. What is x rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 698.3 - 698. What is the closest to -1\/4 in -4\/15, g, -0.3, -1?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 173 + 90 + 40 + 23*u - 125. Calculate s(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -71727 and -7219.25773.\nAnswer: -78946.25773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 2. Suppose 0 = -5*m - a + 698, -10 = 4*a + a. Suppose m = 34*i - 6*i. Calculate n(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124.57831 - -126.7183304. Let a = t - 2.14. What is a rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120*-828.8\nAnswer: -99456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1320\/20240)\/((-20)\/16 - -2) + 304\/(-4025).\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12177, 48710, 109603, 194856, 304469, 438442, 596775?\nAnswer: 779468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 219017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 + 1743440*x**2\/3 + 6973784*x\/3 + 6973792\/3.\nAnswer: -2*(x - 871724)*(x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + 0 + 1 + (1 + sqrt(700) + sqrt(700)*1 - -2*(sqrt(700) + -2)))**2.\nAnswer: -560*sqrt(7) + 11246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-20))\/(3\/15)*0. Let p(s) be the second derivative of -1\/27*s**3 + i - 1\/135*s**6 - 1\/18*s**4 - 1\/30*s**5 + 0*s**2 + 6*s. Solve p(u) = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 142, 147, 158, 175, 198, 227?\n\"Answer: 3*w**2 - 4*w + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*m - 3. Solve -3*x - 9 = v, m*v + 6 = -x - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 3*d**2 - 194*d - 1050. What is o(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120341686 to the power of 1\/3, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89.9417 - -0.0583. Let b = h - 90.2. What is the closest to -0.1 in 0.4, -7, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -625147, -625148, -625147, -625144, -625139, -625132?\nAnswer: -625123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 5*x - 34, -g - 6*x + 80 = 2*g - 2*x for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26619 is divided by 328.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*u**4 + 16192*u**3 - 617504*u**2.\nAnswer: -480*u + 97152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 3853426\nAnswer: -23\/1926713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/144 and -89\/42.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {s: 3, k: 5, c: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Differentiate -p - 6*k**3 - 3 - 3*k**3 + k**3 wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 197 - 293 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d)\/(((d**(-4)*d)\/d)\/d))**(-35)*((d\/d**5)\/d**(-2\/25))**(20\/3) assuming d is positive.\nAnswer: d**(-917\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31242173, 62484341, 93726509, 124968677, 156210845, 187453013?\nAnswer: 218695181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 297*h = -299*h + 2228, -2*j + 4*h = -896. Calculate the remainder when j is divided by 156.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 3*i + 2. Let j be s(2). Let m(v) be the third derivative of v**6\/120 - v**5\/12 + 5*v**4\/24 - 5*v**3\/6 - 6*v**2. Calculate m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-18)*h\/(h*h*h\/(h**(-2\/69)\/h*h))*(h\/h**(-34))**(-1\/3) assuming h is positive.\nAnswer: h**(-729\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87\/77 + -127\/22. Let q = -22\/7 - z. Let t = 24 + -21. What is the closest to 0.2 in q, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - -21. Let y = 94.5 - r. What is y rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -82318, -164721, -247124, -329527?\n\"Answer: -82403*t + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - w**2. Let c(k) = -3*k**3 + 4*k**2 + 10*k - 7. Let j(v) = c(v) - 4*f(v). Calculate the lowest common multiple of 33 and j(-5).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -161*o**5 + 5*o**4 - 9*o**2 + 17. Let h(g) = g**4 - g**2 - 2. Let w(d) = 5*h(d) - r(d). What is the third derivative of w(k) wrt k?\nAnswer: 9660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - ((2 - 4) + 1). Suppose -4*u - o + 227 = -u, -5*o = r*u - 235. Suppose -3*a = 2*a - u. What is the highest common factor of 10 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1578090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -14 (c) -3\/2 (d) 4 (e) 106.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 32 = 4*x. Suppose -2*t + x - 8 = 0. What is the remainder when 38 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.193, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 1080. Let c = w - 153. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -5004336\nAnswer: -4003468.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -2*c + 35 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + -141 - (1432 - 1471)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7.6. Let x = t + 0.1. Sort -1\/8, -2, x in descending order.\nAnswer: -1\/8, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 5*f**2 - 7*f - 2. Let p be z(-6). Suppose p*u = -3*i - 106 - 70, -3*i + u = 166. Is 907\/7 - i\/(-98) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/(1\/(-3)). Suppose -2*f + q = g - 5, 0 = -2*q + 4. Suppose -2*x + 20 = f*x. Solve 0 = x*v - 0*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 591716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -12*d**2 - d. Let c be p(-1). Let r(i) = 5*i**2 + i - 2. Let q(m) = 8*m**2 - 18*m**2 - 2*m + 4 + m**2. Give c*r(j) - 6*q(j).\nAnswer: -j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -69, -104, -139?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2282 + 6685 - 1709)*(7*s - 3*s - 3*s) as k + b*s and give b.\nAnswer: 2694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 2:12 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2535, 5086, 7637, 10188, 12739, 15290?\n\"Answer: 2551*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-19)*-2*(-1835 + -109)\/(-216)?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226190019 by 20562729.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44068669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -29. Let t = v + 21. Let h = t + 21. Solve -5 = -h*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -5*r**8\/112 - r**6\/60 + 49*r**5\/10 + r**4\/24 - 1281*r**3\/2 + r**2 - r + 175. Find the second derivative of s(c) wrt c.\nAnswer: -300*c**3 - 12*c + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 4. Let o be z(0). Suppose 0 = 2*a + 5*y + 28, 4*a = y - 60 + 4. Let x = 24 + a. Calculate the greatest common factor of o and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333410 a multiple of 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**7\/105 + 28*o**6\/75 + 221*o**5\/50 + 169*o**4\/15 + 13*o - 7. Suppose w(i) = 0. Calculate i.\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -11*x - 324. Let o = 58 - x. Is -2\/7 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 417, 404, 391, 378?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6117.\nAnswer: 3, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.68. Let x be 2\/((-1)\/1 + 1251\/1260). Let s = 2524\/9 + x. Which is the closest to -1? (a) s (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 4*h)*(4 - 1 - 4) - 2 + 2*h + 2 + 3*h - h + 0*h + (3*h - 3*h + 2*h)*(-1 - 1 + 3) as z + w*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Suppose -92 = 31*x - 1270. Let g(q) = x*q - 10*q - 13*q + 3*q**2 - 17*q + q**2. Calculate f(g(w)).\nAnswer: 4*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*(-1232)\/770?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = -2*y. Suppose -3*p + y = p. Suppose p + 27 = 4*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 + -2.6. Which is the second smallest value? (a) k (b) 0.2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-718 + 718 + 124*t)*(2*t**3 + t**3 - 5*t**3 + 1) in the form c*t**2 + b*t + o*t**4 + n + p*t**3 and give b.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/7)*w)\/w**(-2\/25))**(1\/15) assuming w is positive.\nAnswer: w**(38\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 9*o - 4. Let k be f(5). Solve -k = -z - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 36 = -2*p - 0*b, b = 3*p - 54. Suppose p*g = 2*g + 704. Solve u + g = 46 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a1 (base 16) to base 12.\nAnswer: -1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f**3 + 3*f**2 - 3*f + 1. Let y be k(-3). Let q be 1 + 0 + y\/205. What is the biggest value in -1\/4, 3, 6, q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496 a factor of 44515987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127695?\nAnswer: 3, 5, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -801 from -1.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4030990029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/288 + (-29605)\/1528?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 76360?\nAnswer: 76357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/440 - (-6)\/(-10))*5\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -8 (c) -13 (d) -151\/6 (e) -1 (f) -15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3504*k + 3506*k - 15*k**2 - 37*k**2 + (-3 + 0 + 4)*(-3*k**2 + 0*k**2 + 5*k**2) + k**2 - k**2 + 2*k**2 in the form d*k + l*k**2 + n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 5*w**3 + 2*w**3 + (0*w**2 + 2*w**2 + w**2)*(1 - 3*w - 1) + (4*w - 4*w + 2*w**2)*(-2*w - 2*w + 6*w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 9*w - 9. Let m(g) = -g**3 + 2*g**2 - 45*g + 151. Let s be m(3). What is h(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2 = -m, 6*f - f = 3*m + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656974911?\nAnswer: 3, 17, 239, 53899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((2\/6)\/((-2)\/(-6))). Let y = m + 15. Find the second derivative of 8*q + 6*q**4 - 4*q + y*q + 4*q**4 wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/((-16)\/24) - -1. Let z be (-35)\/36 - 9\/(-12). What is the second smallest value in 1.3, z, k?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632 is divided by 94?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 15. Suppose -7*g = -2*g - z. Suppose n + g*n - 56 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 18. Give w(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4*p + 788*f**4 - f**3*p - f**3 + f**2*p - 139*f*p + 5*p wrt f.\nAnswer: -48*f*p + 18912*f - 6*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 0*k**3 + 5*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1826022 by -4818.\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56a (base 13) to base 14.\nAnswer: 4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-11 + 6 - (-3 - -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000207925484 rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 2*m**2 + 2*m - 2. Let v(k) = -4*k + 1. Let n be v(2). Let r = -3 - n. Let j be (4 + -1)\/(6\/r). What is c(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -919, -5, -0.08, -1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*l**2 + 32*l**2 + 10*l**2 + 28*l wrt l.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-12))\/((-1)\/6). Suppose -4*q + 628 = -h, -r*h + 4*h - 4 = 0. Is q a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 11:13 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -706, -1382, -2058, -2734, -3410, -4086?\nAnswer: -4762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffx when three letters picked without replacement from {j: 1, i: 4, s: 2, x: 6, f: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) - ((sqrt(5) - ((-1 + sqrt(605) - sqrt(605)) + sqrt(605))) + sqrt(5) + sqrt(5))**2) + 5*(sqrt(5) + 1).\nAnswer: -316 + 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -680491, -1360978, -2041455, -2721916, -3402355, -4082766, -4763143, -5443480?\n\"Answer: m**3 - m**2 - 680491*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 1. Let a be u(4). Let r(h) = -h - 1. Let z be r(a). Let y = -4 - z. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -971*v - 41. Is q(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**7\/6 - z**3\/3 + 4*z. What is the second derivative of p(u) wrt u?\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -g + 142 - 2, 0 = -4*t + 3*g - 123. Are -28 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 - 2*y - 3. Let s be h(-4). Put -5, s, 3 in descending order.\nAnswer: s, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Suppose 0 = p + 4*b + 8, 8*b - 6 = p + 11*b. Let t(a) be the second derivative of p + 0*a**3 + 0*a**2 - 13*a - 1\/6*a**4. What is t(c(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/9 - 18320*o\/9 - 41952800\/9 = 0 for o.\nAnswer: -4580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let m(p) be the second derivative of -169*p**3\/6 + 30*p. Determine q(m(z)).\nAnswer: 169*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - o + 7. Determine h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 4) in base 7?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 12*b - 8. Let j(t) = 6*t - 43. Let y be j(9). Let p be h(y). Solve -2*f - 3*n + 3 - 2 = 0, 4*f + p*n = -7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**2 - 17598*j + 25807467 = 0?\nAnswer: 2933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -43.\nAnswer: -9\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -88*g. Let t be c(-1). Let w be ((-98)\/(-245))\/((-2)\/(-20)). Suppose n - t = -w*d, d + 3*n = -n + 22. What is the remainder when 43 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6882 and -139\/42.\nAnswer: 48174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1616971849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130\/3 + -43. Let o = 94 - 95.37. Let z = o + 1.32. Are s and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6248.844mm?\nAnswer: 6248844000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:37 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(135)*-2)\/sqrt(9))\/((sqrt(297)\/(sqrt(9) + sqrt(9)*-3))\/sqrt(11)) + 3.\nAnswer: 3 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000049440251 to seven decimal places.\nAnswer: 0.0000494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4615 is divided by 1350?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 743*h**2 - h**3 - 2 - 2*h + 0*h**3 - 754*h**2. Let u be w(-11). What is the greatest common divisor of u and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 78*q**2 + 95*q - 161. Is l(-87) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 862429 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 152529, 152530, 152529, 152526, 152521?\n\"Answer: -g**2 + 4*g + 152526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + m = 12, -v - 12 = -0*v + 5*m. Suppose 5*l = v*k + 10, 2*l - l = 2. Suppose k = 4*u + 4 + 16. Let w(c) = c**2 + 5*c - 4. Give w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*p + 59*p = 67*p + 495. Factor 3\/8*b**5 + 3\/2*b**4 - 3\/4*b**2 - 15\/8*b + 3\/2*b**p - 3\/4.\nAnswer: 3*(b - 1)*(b + 1)**3*(b + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10930 less than 10913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-55))\/(26\/2405). Let g = 6460\/957 + z. Is 1 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (1 + sqrt(1872))*3)**2.\nAnswer: 288*sqrt(13) + 29961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 15 = -m + 64, -m = i - 53 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j + 30 = 48*j. Differentiate -j*w**2 - 69 - 58*w**2 - 51 with respect to w.\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 18. Let r(g) = -4*g + 9. Let a(z) = 3*z - 9. Let h(q) = t*a(q) - 2*r(q). Calculate h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 16 = -5*k. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/7964 and 71\/724.\nAnswer: 7964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/((-4)\/30). Suppose -68 = -n*c + 57. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5666 and 46401707?\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-12) - 124558\/31899?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1462 and -1.1.\nAnswer: -1608.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-7))\/((-30)\/21).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7 - 14. Let j be (-5)\/((-4)\/((-112)\/(-4))). Calculate the highest common factor of v and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 99*o**2. Let m(s) = -183*s. Determine m(z(g)).\nAnswer: -18117*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let f(s) = -1 - 2*s - v + 3. Let x(c) = -c**2. What is f(x(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33532, 66790, 99994, 133150, 166264, 199342, 232390, 265414?\nAnswer: 298420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -252*g - 131. Let d be i(-11). Calculate the highest common divisor of 556 and d.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(5*z**5 + 2*z**5 + 10*z**5 + 10*z**5).\nAnswer: -54*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1503236842.0000262 - -1503236971. Let i = 129 - j. Round i to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-2))\/(2\/4) - 3. Put u, 0.1, 2\/7 in ascending order.\nAnswer: 0.1, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 11 = 4*y. Let w = y + -4. Suppose -w*a - 16 = -9*a. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 - 118 - 96) + 82.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 36*r - 77. Let l be d(-38). Let c(t) = -6542*t - 21. Is c(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366694824?\nAnswer: 2, 11, 15530623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14036 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.1248?\nAnswer: -0.01248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 2. Let g(p) = 5. Let z(a) = 2*g(a) - 5*x(a). Let j(s) = s**2. Calculate z(j(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skinsjknkonk. Give prob of picking 1 o, 1 n, and 1 s.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 57*m - 15. Let q(b) = 5*b + 1. Calculate -45*q(g) - 3*x(g).\nAnswer: -396*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -18. Suppose -2*r = -2*x - 2*x + 4, 0 = -a*x - 4*r - 8. Factor x*h**2 - h + h + 2*h**2 - 2*h**3.\nAnswer: -2*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from yoiyogyyyyyooyy.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9 - 2\/(-6). Let c be -3 + l + 1 + 2. Solve c*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-775)\/49910*16\/(-20).\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/((-36)\/30))\/((-1)\/(-6)). Solve t*k + 8 = k + 5*r, -2*k + 3*r = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*i**2 - 4*i**2 - 4*i**2)*(-4*i + 5*i + 0*i) - 92*i + 92*i + i**3)*(4 + 1 - 4)*(3 + 2 - 3)*(-59 - 78 + 184).\nAnswer: -94*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/(-42) - ((-6)\/14)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8)*w*w**(-4)*w*w)\/(w**4\/(w\/(w\/(w*w*w**1\/w*w)*w))) assuming w is positive.\nAnswer: w**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppqppqpypy. Give prob of sequence ppyp.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922 = -6723*x - 56393 - 44532 + 5881 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1550*u + 89. Let m be q(-10). Suppose 0 = 2*z + 5*z - m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mummgnyuuunuuuuyu. Give prob of picking 2 n and 1 m.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 214 - 211. Put m, -1, 2 in increasing order.\nAnswer: -1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/12)\/(-7))\/(-15*(-8)\/180)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 203 - 1013. Does 45 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28\/5, 8, 3, -1100 in descending order.\nAnswer: 8, 28\/5, 3, -1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140)\/245 - 92\/(-112). Let z(l) be the second derivative of 0*l**3 - 7*l + y*l**4 + 0*l**2 + 0. Let w(u) = -9*u. Give z(w(x)).\nAnswer: 243*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*g*n + 10209568*g - 1135123*n with respect to n.\nAnswer: -22*g - 1135123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14032.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 30 = -24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 145. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*c, 14*c - 11*c - 129 = -5*y. Let l(i) = 2*i - 74. Determine l(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178332 and 3500112.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -4*r, r - 5 = -4. Suppose -s = -1 + y. Let v = -1 + 1.4. Which is the closest to 0? (a) s (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**3 + 7*r**2 - 3. Let l(a) = -13*a**3 + 2*a**2 - 19. Let i(g) = 19*g**3 - 4*g**2 + 27. Let t(f) = -5*i(f) - 7*l(f). What is 2*n(q) - 3*t(q)?\nAnswer: 4*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 57.087, 0.5, -45 in increasing order.\nAnswer: -45, -4, 0.5, 57.087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 36971*o**2 - 1183840*o + 9472768.\nAnswer: (o - 16)**2*(o + 37003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y - 5*z = -31160, 0 = -y + 5*z + 15550. Suppose 0 = -9*q + 18*q - y. Suppose -8*o + q = -54. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v**3 - 1020*v**2 - 498*v + 1274. Calculate c(-127).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 5. Let u be t(-4). Let l be (73 - 13)*9*u. Let x be (-7 - -1)*(-24)\/l. Does 1 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 12:00 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5834 * -1.\nAnswer: 0.5834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 2*t + 1. Let r be l(1). Let m be 5\/r - (-1)\/2. Suppose 2*z = m*d - 76, z + 112 = 5*d - 24. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-2)\/4 - (-2674)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 25*n**2 - 26*n - 1. Let t be s(26). Is (-9285 + t)\/(56 - 58) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -12968.5\nAnswer: 90779.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87659 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: List the prime factors of 4090439.\nAnswer: 103, 151, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 23*n**2. Let x(f) be the second derivative of -f**4\/12 - 19*f. Calculate d(x(r)).\nAnswer: 23*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3102 + -4?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2282*i + 2084*i = 990. Let b(f) = 2*f**3 - 7*f**2 + 5*f - 13. Let r(g) = -g**2 + g - 1. Give i*r(s) + b(s).\nAnswer: 2*s**3 - 2*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:36 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.981824 days to hours.\nAnswer: 95.563776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 4*n + 20 + 1. Does 3 divide k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from {i: 6, j: 3, c: 1, r: 3, s: 1}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/99 - (-444)\/(-88)*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1973911 is divided by 1395.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 4 + -5 + -8. Let r(w) = -2*w**3 - 7*w**2 - 2*w - 1. Is r(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 + -2 - -2) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -7*h**4\/30 - h**3\/15 + 6*h**2 + 469*h. Determine z, given that r(z) = 0.\nAnswer: -15\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2857, 2802, 2747, 2692?\nAnswer: 2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825) + sqrt(825) + 1*1*sqrt(825) + (sqrt(825)*-1 - sqrt(825))*2)\/(((sqrt(132) + (sqrt(132)*-2 - sqrt(132)))*-6)\/sqrt(12)*-4).\nAnswer: 5*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-6)*-2 + 6\/(-9). Let s(u) = u**3 + 4*u**2 - 45*u + 2. Let l be s(5). Solve -4*t = 2*o + 24, -a*o + l*t = 7*t + 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 10 = -41*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b8 - -699?\nAnswer: -21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997*y - 1467*y - 808*y = -686*y + 137058 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 9*n**2 - 8*n + 2. Let r be i(8). Suppose -2*j = -3*b - 22, 7*j + 2 = 5*j - b. Solve j*o = -r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -44, 5, -1, -83, -2 in descending order.\nAnswer: 5, 4, -1, -2, -44, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2529*r + 22959. Determine p(9).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*f - 11, 0 = -5*q - f + 16 - 5. Find the second derivative of 7 + 51*x**q - 2*x**2 + 3*x + 32*x**2 wrt x.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -93, -188, -283, -378?\n\"Answer: -95*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7708*u*x**6 - 494*u*x**3 + u*x**2 - 27*u*x - 417*x**2 - 3 wrt x.\nAnswer: 924960*u*x**3 - 2964*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93*u - 18*u**2 - 93*u - 15*u**2)*(-4*u + u + 2*u) to the form v*u**2 + y*u**3 + z + q*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/5 - 4*g**3\/5 - 78*g**2\/5 + 296*g\/5 - 56 = 0. What is g?\nAnswer: -7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, 9, 1, 4, -5, -3 in descending order.\nAnswer: 9, 4, 1, -3, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - d = -6*d + 5, 5*j - 29 = 3*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -10. Let f be x\/(0 + (-2)\/2). What is the greatest common divisor of f and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 26*p + 65. Let i be u(-28). What is the units digit of 1865\/15 - -2*3\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19735*x = 19733*x - 6, 2*d - 2*x + 12 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1203683 or -1203675?\nAnswer: -1203675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -2 + 6 - -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -399c8b (base 13) in base 6?\nAnswer: -45504204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/((-13)\/((-2730)\/(-12))). Let k = 252 + r. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 33*k**2 - 47*k - 48. Calculate w(-32).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -5*o, -o + 1 = -2*t - 0. Let h = 0.3 + -0.2. Let l be (-3)\/(-4) - 2\/2. What is the closest to 1 in o, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m + 6. Let z(v) = v**2 - 3*v + 3. Give z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 77. Put d, 1\/7, 1\/2 in ascending order.\nAnswer: d, 1\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*x + 1043, 0*z - 2*z - 4*x + 1046 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - 5*s)*(s + 0*s + s**2 - 7*s**2).\nAnswer: 18*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/(-46))\/(72\/(-3))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 - 112839*z + 112836 = 0. What is z?\nAnswer: 1, 37612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 5) + (6 - (13 - 65)) - (10 + -22)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(2 - -1) + (-410)\/130. Let c = 0 + -0.2. Put -0.08, x, c in decreasing order.\nAnswer: -0.08, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - 2) - -3 - (-67 + -5 + 9)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 2. Let o(l) = 4*l + 11. What is -6*o(q) - 33*y(q)?\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11411 (base 5) to base 8\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -42, -85, -126, -165, -202?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -24. Let c = 16 + a. Let t = c - 3.6. What is the nearest to 1 in 0.05, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*h**3 + 14*h**4 + 158*h**3)*(4 - 1 - 1) - 50 + 50 - 10*h**4.\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0409 take away -160?\nAnswer: 160.0409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6314, 9340, 5800, -7588, -34106?\nAnswer: -77036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1323\/98*(-28)\/63\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**8\/1344 + n**5\/120 + 119*n**4\/24 - 111*n**2. Let c(l) be the second derivative of j(l). Give c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 2*u**2 + 2*u + 1. Let r be t(-2). Suppose -y - r = -2*y. Solve 3*p = -s - 7, -s = -3*p + s - y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyupypypjp. Give prob of picking 2 p and 2 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = -5*v. Which is the closest to -2? (a) -0.1 (b) 18 (c) v (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, 6\/47, 0.5, 0.067 in decreasing order.\nAnswer: 0.5, 6\/47, 0.067, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5609436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46805 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/42 and (-2)\/4*((-43526)\/(-8748)*-3 + 15).\nAnswer: 20412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -15.07. Let d = h - -0.93. Let u = 41.5 - 37.5. What is the nearest to d in u, 0.4, 14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51460.\nAnswer: 2, 5, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -84, 1257, 4 in decreasing order.\nAnswer: 1257, 4, 2\/3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1104, -10225, -27366, -52527, -85708, -126909?\nAnswer: -176130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -1. Let f = -9912 + 9912. Sort f, -1\/11, n, 3\/8 in ascending order.\nAnswer: n, -1\/11, f, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51573 + 29?\nAnswer: -51544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + 39. Calculate the remainder when k is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, k: 1, w: 5, m: 1, x: 1}. What is prob of picking 1 w, 1 m, and 1 k?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62\/30102989 or -1?\nAnswer: 62\/30102989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25921 is divided by 118.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 + 268 - (-1 - 39).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1221 times -0.1\nAnswer: -122.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/40800 and 111\/1700.\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 32 = 4*t + 84, -t - 509 = -4*j. What is the remainder when 205 is divided by (-16)\/j - 370\/(-16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - -65) + (22 - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61162223 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12416 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 25. Let a be l(-5). Solve 2*w + 0*w - 10 = a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026*f = -62802 + 189000 for f.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0 - 1\/8*t**4 + 3*t**2 + 0*t - 7\/720*t**6 + 0*t**3 + 1\/120*t**5. Let c(q) be the second derivative of b(q). Give c(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = -4*m - 8, -3*i + 3*m = -30. Solve -b = -i*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 (base 13) in base 5?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((((g**(-4\/9)\/g)\/g*g)\/g)\/g)*g**(-1\/3)*((g**(1\/2)*g*g*g)\/g)**(-21))\/((g**(1\/3)*g)\/(g*g**(-3)\/g)*(g*g*g**(-1\/2))\/g*g*g**5) assuming g is positive.\nAnswer: g**(-533\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -900 divided by 6.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*u**2 + u**2 + 3 in the form m + o*u + g*u**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**2 - 60*s + 558. Is 119 a factor of x(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2610 is divided by 88?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 3, -2 in decreasing order.\nAnswer: 3, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2. Let j(h) = -h + 2. Let x(a) = 12*a - 2. Let z(c) = -2*j(c) - 2*x(c). What is z(p(y))?\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43718 is divided by 43713.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 494, 1265, 2558, 4379, 6734, 9629, 13070, 17063?\n\"Answer: u**3 + 255*u**2 - u + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7296 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/14060969 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 634081?\nAnswer: -38044.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 197988 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 202994335 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**3 - 5. Let y be h(2). Let q = y + -59. Solve q = -3*l + 5 - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10678049 rounded to four decimal places?\nAnswer: 0.1068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + s**2 + 4*s**3 + 0*s**2 - s to the form p*s**3 + t*s**2 + k + n*s and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.037449 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z - m - 3 = 0, -3*z - 4*m = -18. Let r be (-2)\/(-4)*z + -36. Let d be r + (4 + -2 - 0). What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 2:26 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-10) + 14\/70. Suppose p = -161*q + 170*q. Sort q, -67, 2 in descending order.\nAnswer: 2, q, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 - 109*k + 203. Let o be a(-29). Let i(w) be the second derivative of 2*w**2 - 11*w + 5\/3*w**3 + o. What is the derivative of i(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 1. Suppose -12 = 5*g + 2*j, -2*g - 2*j - 9 = -3. Let o be w(g). Let s = o + 7. Solve -u + 4*u = s*i + 10, 6 = -5*u + i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 220 = 3*z - 2*w, -5*z + 346 = 2*w. Let t = z + -65. Solve p = 2*x + 10, t*x + 7 = p - 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 317*m + 651*m - 3*m**3 + m**2 + 2*m**2 - 335*m + 6. Determine g(3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49066847 divided by -1\nAnswer: -49066847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:19 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14086, -14093, -14100?\n\"Answer: -7*f - 14079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.587 + -10.48. Which is the nearest to k? (a) 1\/7 (b) -5 (c) -4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s. Suppose s = 2*a - 2*l - 24, -2*a = -3*a - 2*l. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + sqrt(1900) + (sqrt(1900) - (sqrt(1900) - -4*-1*sqrt(1900))) + (-1*sqrt(1900) + 2)**2.\nAnswer: 20*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 5*m**4\/4 - 25*m**3 - 180*m**2 - 380*m + 2125. Factor i(l).\nAnswer: 5*(l - 19)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 19206*i. Let a(v) = -2745*v. Give -27*a(d) - 4*s(d).\nAnswer: -2709*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*a**2 - 5 + 45\/2*a + 5\/2*a**5 - 15*a**4 + 35*a**3.\nAnswer: 5*(a - 2)*(a - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1018\/85 - (63 + 69 + -120)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/10 + 1\/2. Suppose -2*o - 10 = -5*x, 2*x = -o + a + 1. Suppose -7*t + 50 = -x*t. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.29 - 1.394. Let f = s + 0.24. Round f to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c - 1. What is the remainder when g(6) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799.869 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1156 and 1666?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + j. Let q be o(1). List the prime factors of 12 - 5\/((-10)\/q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3\/2 + 8*m. Calculate p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 406*i**3 - 14*i + 803. Let q(x) = 541*x**3 - 18*x + 1071. Let a(g) = -7*q(g) + 9*u(g). What is the derivative of a(b) wrt b?\nAnswer: -399*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28912a (base 12) to base 9\nAnswer: -1244717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y - 8283972 + 2*y - y**3 + 8283972 + 2246*y**2 as p*y**3 + x*y + s*y**2 + h and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 3*n**3)*(-3*n - n + 2*n)*(-3 - 1 + 5)*(2 + 2 + 1)*(9 + 8 + 1) in the form i*n**2 + u*n**4 + f + d*n + t*n**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15571 - 15573. Which is the third smallest value? (a) -1 (b) 2\/25 (c) -0.4 (d) u (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/41)\/n*n**3*n)\/(n**(-4\/7))**(-15) assuming n is positive.\nAnswer: n**(-1613\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(1\/7)\/((y*y\/(y*y\/(y\/y**3)))\/y*y**(-8)) assuming y is positive.\nAnswer: y**(309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3789 and 76\/183.\nAnswer: 231129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 457, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**5\/2 - 7*u**3\/6 - u. What is the second derivative of p(m) wrt m?\nAnswer: -60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1260) - sqrt(1260))*4 - (sqrt(1260)*1*-2 - sqrt(1260)))\/((sqrt(880)*-2)\/((sqrt(66)\/sqrt(2))\/sqrt(3))).\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaga. What is prob of picking 2 a and 1 g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + c + (2 - 5 + 5)*(2*c + c - 4*c) + 1 - 1 - c + 0*c - 4*c + 3*c + (2*c - c - 2*c)*(-4 + 6 - 1) - 103 - 2*c + 103.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*n + 7 - 21 = 0, -4*n + 28 = 5*v. Solve 0 = 2*f - 4 - v, -f = 5*r - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-39)\/18)\/(20\/((-1140)\/247)). Factor -1\/2*u - z + 1\/2*u**2 + 1\/2*u**3.\nAnswer: (u - 1)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 7. Let u = -9 - -15. Let z be g(u). Let h be 2\/(-8)*(2 + 1). Which is bigger: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1491, -1453, -1405, -1341, -1255, -1141, -993?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.5 (c) 0.1 (d) 2\/13 (e) 11352130 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/(((-96)\/(-30))\/8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5335 (base 7) to base 4.\nAnswer: 131200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091489 to the power of 1\/2, to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7821320 and 27885?\nAnswer: 258103560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 2*d**2 - d + 1. Let s be y(2). Calculate the lowest common multiple of 1 - (s - 30*8\/6) and 11.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-22 + 5778\/36)*(1*4 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-14))\/(2\/7). Let b be 3*4\/k*-1. Let p = b + 31. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 + 8*p. Let g(n) = 4*n. Give x(g(s)).\nAnswer: 64*s**2 + 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -6*j**3\/11 - 31378*j**2\/11 + 230380*j\/11 - 251376\/11 = 0.\nAnswer: -5237, 4\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -298 or -318?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 150\/40 - (2 + (-15)\/(-20)). Let r be 7\/2*2 + 2. Which is the smallest value? (a) s (b) r (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/12 + w**3\/6 - w**2\/2 - 23*w + 1. Suppose 0*q = -q + 2*h - 8, 0 = 3*q + 3*h - 21. Is 5 a factor of s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -9)\/(3 - 4). Let m be (-12)\/(-7) + r\/(-28). Suppose -m*h + 13 + 11 = 0. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.580591 litres in millilitres?\nAnswer: 5580.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 22 + 13. Suppose 4*v - w*u - 1346 = 0, 3*v - v + 5*u = 688. Differentiate v*s + 3 - 339*s - s**4 with respect to s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l. Suppose l = -5*h - 4*o + 105, -2*o = -o. What is the remainder when h is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2839646.4 months to millennia.\nAnswer: 236.6372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a - 83*a**2 + 136*a**2 - a**3 - 31 - 73*a**2. What is the hundreds digit of m(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4449 and 51970252?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -1. What is the least common multiple of 5 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227185.\nAnswer: 5, 7, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 - -100.9999838. Round b to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45784*a*f*q**2 - a*f + a*q**2 - f*q - 2*q**2 + q + 74 wrt q.\nAnswer: -91568*a*f + 2*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b9cb (base 13) to base 2.\nAnswer: 11011001110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -70442\nAnswer: 11\/35221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/120 - 3*l**5\/20 - 7*l**4\/24 - l**3\/2 - 22*l**2. Determine b(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 24 = -5*c + 16, -5*y - 32 = -3*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 158 (base 10) to base 12\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*q. Let w(g) be the second derivative of -g - 1\/6*g**3 + 0 + 0*g**2 + q*g**4 + 1\/20*g**5. What is the second derivative of w(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48871909 is divided by 2763?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 47 = -3*j, -j - 5*a + 69 = 48. Sort 5, -5, 12, 4, j in descending order.\nAnswer: 12, 5, 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141092705 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*i + 5152 = 360*i - 180*i. Calculate the least common multiple of i and 736.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 2*d + 7, 0 = 5*d + f - 9. Let l = 702\/7 - 100. Is d less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -7. Let z = s + 11. Let d(b) = 6*b**2 + 5*b + 1. Let p(r) = -5*r**2 - 4*r - 1. Give z*d(v) + 5*p(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -112 (c) 0 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 4270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/4 - -1) + 3. Let j be (-36)\/(y + 18\/(-4)). Let w = -8 + j. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741240 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 331.791 to 0 decimal places.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -328 - -512. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/25979 (b) -0.5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 10*v + 4*q + 92 = 0, 3*v - 5*q = -40 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -23 + 522 + -515.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 19 - 39 + 16 + 4.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n + 12009. Let b = n - 2054. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 562 + 17007. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2253*j - 114. Does 36 divide f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400210191 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {b: 4, p: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*v + 2*v = 15, 20 = -5*p + 5*v. What is the tens digit of 56 - 6 - (4 + (-2)\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72582545, -72582548, -72582553, -72582560, -72582569, -72582580, -72582593?\nAnswer: -72582608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w + 2. Give f(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/3)*z*z*z**(10\/7) assuming z is positive.\nAnswer: z**(100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 10*f**2 - 16*f - 5. Let l be t(-8). Let g be 0\/(-1) + 36 - 1. Does 4 divide 2 + -1 - g\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353056963 to the power of 1\/2, to the nearest integer?\nAnswer: 18790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -11 + 4 - 0) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**3\/27 - 2*w**2\/9 + 19. Factor d(s).\nAnswer: s*(s - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2871737 = -2*f + 205108, 5*f - 3076830 = -5*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 7) + -8 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290 - 477 - 37*i**3 - 293 + 1655 - 296 - 299.\nAnswer: -37*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640 + 367 = 5*g - 333 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-2*1)\/(sqrt(24)\/sqrt(3)*2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10 - 2*x + 16 - 8. Let m be 8\/6*(-24)\/(-16). Determine l(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7060\/(-40))\/((-4)\/8) is divided by 49.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -14. Let y(u) = -4*u. Let f be y(-1). Let g = 6696 - 6694. Solve g*i + z = f*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -312 - -324. Suppose 0*s - 35 = -4*x + 3*s, 2*s - 10 = -4*x. Suppose h = 4*h - m + 4, -x*h - a = m. Let t(o) = -5*o - 1. Determine t(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 974*q - 54 = -970*q, 3*q + 48 = 5*o. Solve 0 = 3*f + 5*v - 13, -7*v = 4*f - o*f + 19 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -34*l**2. Let f(k) be the third derivative of -7*k**4\/24 + 5*k**3\/6 - 26*k**2. Let o(d) = -6*d + 4. Let j(h) = 4*f(h) - 5*o(h). Determine q(j(p)).\nAnswer: -136*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/((-77)\/(-14))*-6. Which is bigger: 6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 702, 709, 660, 525, 274, -123, -696?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12*r - 77. Let u be l(7). Let j be -2 - -4 - (-2)\/1. What is the first derivative of 2*b + u + 1 - j*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5506\/280 - (1364\/77 + -18). Which is greater: 19 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -2\/67, 2103.5, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 309.1 - 309. Let m = -20.16 - 0.84. Which is the third smallest value? (a) n (b) m (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28911 is divided by 1071?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let v = s + -7. Suppose -m - 139 + 117 = -4*j, 0 = -4*j - 4*m - 8. Which is the closest to 3? (a) 3\/8 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6718.740726 rounded to the nearest 100?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from fffrrf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 7*x = 3*x - 20, -104*a = -111*a - x + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u + 6. Let w(y) be the second derivative of -5*y**3\/3 - 3*y**2 - 2*y. Let i(d) = 3*d + 2. Determine u*w(n) + 7*i(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7785, -7786, -7787?\n\"Answer: -j - 7784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511540011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 180 = 2*u - 179, -8*b + 1 = -5*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 2*p)*(-3 + 1 + 1) + 4*p + 0*p - 3*p - 3 - 8*p + 7*p - p.\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11741)\/(-3582) + (-8)\/((-224)\/(-91))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -28*x - 11. Let l be y(-12). Suppose 3*m - l = -4*u, -m = -5*u + m + 389. Let g be u\/5 + 11\/55. Solve 0 = -3*t - t + g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97\/4 or -4?\nAnswer: 97\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 4*u + u**3 + 3*u**2 - 6*u**2 + 14*u - 2*u**4 - 11*u - 25 to l*u**2 + y*u**3 + i*u + t + g*u**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - (-38 - -32) - -38?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -1197*k**3 - 45*k**2 - 11*k - 5553. What is the second derivative of s(m) wrt m?\nAnswer: -7182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*4\/(-3). Let p(n) = -n**3 - n**2 + 3*n + 3. Calculate p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 - 3) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 4*t - 5*t)*(-3 - 1 + 3)*(1 - 1 + 3)*(2 + 18 + 7) + (0 + 0 + 3*t)*(1 + 0 - 3) + 14 - 14 + 4*t.\nAnswer: 79*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -10\/7 (c) 1467151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, p: 5, w: 1, t: 2, d: 6}. What is prob of picking 1 w, 2 d, and 1 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 132*f. Let z(t) = t**2. Determine b(z(h)).\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u + 56. Find the common denominator of -22\/9 and (2\/u)\/((-3)\/150).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/6)\/((-6)\/(-27)). Let n = -22932\/85 - -1336\/5. What is the common denominator of 8\/z - (-26)\/6 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4449316mg to micrograms.\nAnswer: 444.9316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.13642l in millilitres?\nAnswer: 42136.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/2 + (-105)\/60. Which is the third smallest value? (a) w (b) 0.3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 20, 4*j + 5*b = 32. Suppose -5*z = -j*l - 417, 0 = 4*z - 3*z - 2*l - 82. What is the remainder when ((-1)\/(-2))\/(3\/z) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 1, v: 2, h: 4, m: 1}. What is prob of sequence vlv?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7187 + -7180 + (1 - (0 - 26)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108355278 is divided by 680?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + j**2 + 4. Let y(l) = -l**2 + 9*l - 20. Let b be y(5). Let f be z(b). Solve -2*h = g + 1, -2*g = -0*g - f*h + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5220410 to the nearest ten thousand.\nAnswer: -5220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278292*w = -278305*w + 156 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/21 and -55\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34292.\nAnswer: 2, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 5, -390 in descending order.\nAnswer: 5, 2, -3, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/5355*-17)\/((-34)\/4 + 0 - -9)\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f. Let m(q) be the first derivative of -q**4\/12 - 4*q - 1. Let p(s) be the first derivative of m(s). Calculate k(p(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 1. Let w(g) = 6*g - 4 + 6 - 2 - 4. Let m(a) = w(a) - 3*x(a). What is the first derivative of m(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 8*r**3\/3 - 2*r**2 + 49*r. Differentiate s(v) wrt v.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(0 - 2 + 6)*((-2 + 0 + 3)*(2 - 6 + 2) + 0 + 3 - 4 + 2 - 2 - 1 - 3 + 4 - 2)*(-2*x + 0 + 0)*(-2 - 4 + 3).\nAnswer: -120*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3)*f*(f*f\/f**(-1)*f)\/f)\/(f*f\/f**(1\/4))**5)**(1\/3) assuming f is positive.\nAnswer: f**(-61\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 732 and 1342?\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, -49, -183, -443, -871?\n\"Answer: -7*g**3 - g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22813191?\nAnswer: 3, 197, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + -9. Let f = -9 - i. What is the lowest common multiple of 11 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (338 + 6154*o - 1191 - 6155*o)*(-2 - 1 + 2).\nAnswer: o + 853","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10135.36 + -10120.154.\nAnswer: -20255.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tavavataatvv. Give prob of picking 3 a and 1 v.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - k = 4868*p - 4876*p + 80, 5*k - 6*p + 88 = 0 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49923451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 13) to base 6\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 271.234 to the nearest integer.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 7*j - 7. Let y be k(5). Suppose -6*w + y*w = -12. Let -6\/5*i**4 - 24\/5*i**2 + w*i**3 + 12\/5*i - 2\/5 = 0. Calculate i.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/8 (b) 0.3 (c) -15055\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -3 (c) -228.1 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 2, c: 1, i: 1}. What is prob of picking 1 c, 1 x, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/3 + 825254*q**2\/3 - 1650514*q\/3 + 275086 = 0. What is q?\nAnswer: -412629, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22212 + -12?\nAnswer: 22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.45*2418.95.\nAnswer: 1088.5275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*b + 3*b - 10 = 0, 0 = 5*g - 3*b - 7. Let m be (-2)\/3*(-15 - -18). List the prime factors of (m\/7 - 1240\/(-28)) + g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 6*b + 4. Let r be c(3). Let h = r + -4. Let v(y) = y**2 + 2*y + 1. Let i be v(-2). What is the greatest common factor of h and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - -2291.\nAnswer: 2290.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4004 and 89\/728.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from bqqqqccqbcqqqbqbcqbb?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(1539) - sqrt(1539) - sqrt(1539))*1 + -1*(0 + sqrt(1539)))*-2)**2 + 1)*4 + -4.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -616*n**4\/5 + 7820*n**3 + 20728*n**2\/5 + 512*n\/5 = 0. What is n?\nAnswer: -1\/2, -2\/77, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2300 + 812 - 10572 = 1005*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4695 + -1876. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8623254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-3)*k*k**(-2\/45)*(k**0)**(-3\/2) assuming k is positive.\nAnswer: k**(-47\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-15))\/(4\/(-10)). Put r, -1, -4 in descending order.\nAnswer: -1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 154280*k - 77138*k + k**2 - 77137*k. Let u(x) = x**3 - 4*x. Determine -4*d(p) - 5*u(p).\nAnswer: -5*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 6. Let y be d(0). Suppose y*c - c = 25. Let z(k) = k. Is z(c) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 126 + 3*p + 269 + p.\nAnswer: -p + 395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzwnks. What is prob of picking 1 n and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13871999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52080 divided by 1085.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -26. What is the least common multiple of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -5, 11 in ascending order.\nAnswer: -5, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - s - 120, 4*m - 372 = -4*s - 108. Let v = m + -98. Let k be (-9)\/v - 10\/104. Which is the closest to 0.1? (a) 1 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-8)\/(-5)))\/((-16)\/(3264\/17))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 3.1. Let q = g - -2.17. Sort 1\/4, q, -1\/4.\nAnswer: -1\/4, q, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 418 + -411 + -19 + 0 - -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -587.27 from -1198.1396.\nAnswer: -610.8696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = 4*j. Let t be 6\/(-8) + (-21)\/4. Is (t\/j)\/((-4)\/(-104)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/14)\/2)\/(95\/(59850\/(-36)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2022 and 149094192?\nAnswer: 149094192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**4\/5 - 123*v**3\/5 = 0.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105570481*d**3 + 88265895*d**2 wrt d?\nAnswer: 633422886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 2237370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39834957027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y + 73. Let v be n(-8). Let z(u) = 8*u**2 - 3*u + 2. Let a be z(v). Solve -3*j + 2*w - a = 6*w, w = -4*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -105.33, 0.1, -3 in descending order.\nAnswer: 1\/5, 0.1, -3, -105.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o + 0 + 0*o)*(-82*o + 81*o - 3 + 96).\nAnswer: -2*o**2 + 185*o + 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 3 in decreasing order.\nAnswer: 7, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 - 13176*h**2\/5 + 2909196*h - 34531920.\nAnswer: 3*(h - 2190)**2*(h - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*l = -443 - 831 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -129 + 8*y + 129 in the form o + c*y and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9957, 19872, 29787, 39702, 49617, 59532?\nAnswer: 69447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*4\/80)\/(105\/(-1225)*49)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 21 = 3*b - 13*h, 0 = 4*h + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1 + 19 + 0 + 22*c. What is the units digit of p(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/9 - 47410*x**4\/3 + 126438*x**3 - 1849186*x**2\/9 + 284492*x\/3 = 0. Calculate x.\nAnswer: -71123, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:04 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-5\/3))**(-5\/7)\/((k**(-6)*k)\/k**(-2\/3)))**(-50) assuming k is positive.\nAnswer: k**(-850\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -164?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6 + 17 - 1 - 2*r + 3*r. What are the prime factors of g(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3268)\/(387\/9)*((-3)\/4)\/(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5119*y - 5110*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121281948.\nAnswer: 2, 3, 139, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 - 5*y - 14. Let z be m(-3). Suppose -3*x = 10 - z. Let f(i) = -i + 14. Calculate f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3 + 3634*b**2 + 1708236*b - 5157360 = 0.\nAnswer: -390, 3, 2204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -38*x**3 + 4*x**2 + 97*x - 198. Determine w(2).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 11*l**2 + 10*l + 5. Let u be y(10). Suppose 2*f + 2*m = -3*m + 16, -5*m = 0. Let b = 13 - f. Solve u*w - 7 = -3*x + x, -5*w = b*x + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 2*i**2 - 1. Let k be v(1). Let j be 1\/(1\/(-2) + k). Let f be (2\/6)\/(j\/(-4)). Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 4. Let d = 894 + -907. Suppose -3*h = -6*h - 4*u + 31, 4*h - 34 = 2*u. Let n = d + h. Let g(m) = -6*m - 5. Calculate n*g(r) - 5*b(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 13. Let x be r(0). Let i(p) = -p**3 + 19*p**2 - 7*p + 15. Let c be i(x). Suppose -c = 5*y - 12*y. Is 29 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 30 + 0*d - 38 + 95 - 30.\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auzm when four letters picked without replacement from aaaazauzuzuuuaam.\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -30, -67, -118, -183?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2249869929 and 326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-2 - -7 - (-8 + 1)). What is the second smallest value in -0.3, r, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 602 times 5.225\nAnswer: 3145.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106280319*c**3*o + 118*c**2*o - 3*c**2 - 658*c*o - 29*o wrt c?\nAnswer: -637681914*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.5 - 9.5. Which is the third smallest value? (a) 2\/11 (b) -0.5 (c) -1\/7 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 4764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 13*n = -10255. Let k = 4362 + n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f - l + 565, -2*l = 3*f - 332. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 997*b**3 - 8*b**2 + 42*b + 11. Is f(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*n - 5*f + 11, 2*n + 4*f = -2. Let r = -4 - -6. Solve 0 = -5*z - n*j + 14 + 11, z = -r*j + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31800 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*t**2 + 101*t**2 + 45*t**2 - 2*t**3.\nAnswer: -2*t**3 + 169*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l**2 - l - 34. Let a(j) = -6*j**2 - j - 33. Let g(f) = -6*a(f) + 5*y(f). List the prime factors of g(-13).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 394*l + 448*l + 2.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-280768)\/(-184) - -3) + -3 + 213\/69 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5130 + 5182. Let j = -500 + 968. What is the greatest common divisor of j and y?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, o: 1, y: 1, p: 12}. Give prob of picking 1 y and 1 o.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2545997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.224 - -0.124. Let v = -0.2 - -2.2. What is the closest to v in 1, i, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4625 = l + 4*l. Let q(o) = o**3 + 4*o**2 + 11*o + 60. Calculate the remainder when l is divided by q(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45\/2 in -9\/10, -2\/5, 26, 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x + 240 = 0. Suppose -o = -5*o + x. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -23*g**7\/5040 - 4*g**5\/15 - g**4\/12 + 62*g**2. Let y(q) be the third derivative of z(q). Let j(c) = -c**2. Give j(y(d)).\nAnswer: -529*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, t: 2}. What is prob of sequence ftft?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6978997 is divided by 19440.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 + 2*c**3 - 6917870*c**2 - 1331921*c wrt c?\nAnswer: -40*c**3 + 12*c - 13835740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 22. Let k be t(11). Suppose k = 61*g - 58*g - 606. What are the prime factors of g?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-471)\/(-93) - 5 - 5920\/(-496).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(2\/5)*d*d*d**(-11) assuming d is positive.\nAnswer: d**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(1300) + -1 - sqrt(1300))**2 - sqrt(1300)) + -6*-5*sqrt(13))*5 + -4.\nAnswer: 21 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12203460?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 3*u**6\/20 - u**4\/12 - 5*u**3\/3 - 23*u**2. Find the second derivative of a(p) wrt p.\nAnswer: 108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.4 (b) 1\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7\/8)\/g*(g*(g*g\/(g**(-7)\/g*g))\/g*g)\/g*g**(-6)*g*(g*g\/(g\/(g\/(g*g**(-16)\/g))))\/g*g assuming g is positive.\nAnswer: g**(161\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 137, 152, 177, 212, 257, 312, 377?\n\"Answer: 5*x**2 + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5048 by 1262.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = -3*q - 7657. What is the units digit of 2 - 3\/(3\/q) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42.58 and -119?\nAnswer: 161.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 9. Suppose -p - 17 = -5*a. Calculate the lowest common multiple of 11 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 123 = b. Suppose -4*p + b = p. Suppose 8 = -s - 3*o + p, 3*s - o = 101. Calculate the highest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -779 - 46*w + 5*w + 42*w to v*w + y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 2, j: 2, a: 4}. What is prob of sequence hj?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -802*t**4 + 1260*t**4 - 758*t**4 + 3*t**4 - 3*t**4 + 2*t**4 + (t**2 - 2 + 2)*(3 - 3 - 2*t**2) - 2*t**3 + 2*t**3 + t**4.\nAnswer: -299*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.13849t in kilograms?\nAnswer: 21138.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 3*r - 5*f, 2*f = 10 - 2. Suppose 0 = -8*j + 32 + 72. What is the highest common factor of j and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/13 - 2\/13*a**3 + 8\/13*a**2 + 2\/13*a.\nAnswer: -2*(a - 4)*(a - 1)*(a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 121354811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 25*s**3 - 9*s**2 - 11. Let j(f) = -13*f**3 + 4*f**2 + 6. Give 9*j(h) + 4*p(h).\nAnswer: -17*h**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 62, 60, 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1008) + -3 + sqrt(7)*5).\nAnswer: -17*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1550 divide 19085150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 - 14.2. Let d = -543279102.99999995 - -543279091. Let q = d - k. Round q to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**6 + 2*d**6 + d**2 + 4*d**2 - 3*d**2 wrt d.\nAnswer: 1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m. Suppose -5*i + 39 = 14. Suppose 5*b + 6 = 2*t, -t = -i*t + b + 12. Let g(l) = -3*l + 4*l - 5*l + t*l. Determine g(k(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 293894?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -63, 4 in ascending order.\nAnswer: -63, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 + 4*s - 4. Let n(z) = -7*z**2 - 5*z + 5. Let p be ((-2)\/3)\/((-4)\/(-30)). Let k = -11 + 3. Let m be (9\/18)\/(1\/k). What is m*n(f) + p*b(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 25 = 0, 6*j - 2*j = 5*p - 20. Let b(d) be the second derivative of d**3\/6 - 7*d**2 - 4*d. What is b(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107831*p**3*v**3 + 2*p**3*v**2 - 250*p**3*v + 3*p*v + v**4 wrt v.\nAnswer: -646986*p**3 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from kdafdmf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - (4 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 y when four letters picked without replacement from {r: 3, y: 1, f: 1, l: 10}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -93395a3 (base 11) in base 12?\nAnswer: -562b2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20212554.\nAnswer: 2, 3, 317, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(136) - ((sqrt(136) - sqrt(136)*-1 - sqrt(136))*-2 - sqrt(136)))*-2)\/(((sqrt(80) + 1*sqrt(80))*-2)\/(sqrt(160)*-6)))**2.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110001111110100 - 10001011110?\nAnswer: 1001101111110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 + -0.02. Let j = 0.20000013 + u. Round j to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5)*-2 + (sqrt(5) - (sqrt(5) + sqrt(20)))*6 + ((sqrt(500) + 1 - sqrt(5)*-2*-6) + 4)**2.\nAnswer: -30*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from rxxrrr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let f(d) = 1115*d - 9. Let l(j) = 7808*j - 60. Let q(v) = -20*f(v) + 3*l(v). What is i(q(k))?\nAnswer: 2248*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a + 7*a + 354 - 354 + (5*a - 3*a + 0*a)*(-1 + 3 + 0) + 2*a + a - 2*a)*(-2076*a + 2*a**3 + 4*a**3 + 2061*a).\nAnswer: 60*a**4 - 150*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 - 47*2\/(-36) - 2 and -25\/7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**3\/2 + 7*v**2\/2 - 7*v. Let q be f(-8). Let z = q - -25. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(80)\/(sqrt(10)*-4)) + (sqrt(76)\/(5*sqrt(32)\/sqrt(8)))**2.\nAnswer: -4*sqrt(19) + 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006862507006 rounded to seven dps?\nAnswer: 0.0068625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79222 and 17160?\nAnswer: 4753320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 4. Suppose 0 = 7*c - 2*c + 10. Let v(w) = 3*w + 1. Let k(j) = -7*j - 1. Let a(y) = c*k(y) - 5*v(y). Give 4*a(l) + 3*d(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(-2*n**2 + 3*n**2 + 3*n**2) + n - n**2 - n + (-n + 3*n + 0*n)*(-2*n + 1 - 1).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -483 + 547. What is the lowest common multiple of 176 and n?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2. Let j(y) = -120*y + 45. Let q(n) = 7*n. Let x(p) = p - 1. Let h(c) = q(c) + 4*x(c). Let f(k) = 45*h(k) + 4*j(k). Give f(r(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/9 - (605055\/(-27) - 2\/9)?\nAnswer: 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:41 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5745 in -2.5, 1\/35, 3?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(126)\/sqrt(7))**2 - (sqrt(2) - (3*sqrt(6))\/sqrt(3)).\nAnswer: -18 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10000010211021222?\nAnswer: -10000010211021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 80. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1722127586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a. Let x(o) = 3321656*o. Calculate m(x(j)).\nAnswer: 6643312*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 + -0.2. Let c = -2154 - -2154.4. What is the second biggest value in c, q, -19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10526 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 293*t**2 + 87868*t - 9595. Determine d(-300).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 170*u**2 + 8 - 83*u**2 - 88*u**2. Give q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + 16. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.3218 to 0 dps.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -150b5cb?\nAnswer: -150b5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/10 - b**4\/2 + b**3\/2 + b**2 + 4*b. Let j be z(-5). Suppose 3*f = 87 + j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 2. Let v(o) = -9*o - 5. Let a(k) = 5*n(k) - 2*v(k). Let d be a(-2). Suppose d*g - 12 = g. Solve 0 = -3*q - g + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -3 - (-50 + 17 + (-5 - 0))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 0)*4)**2.\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**3 + w + 1. Let i = 1 + -2. Let n be z(i). Let k(j) = j**3 + 2*j**2 - 2*j + 1. Let l be k(1). Sort -2, n, l in descending order.\nAnswer: n, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142464 (base 7) to base 13\nAnswer: -c5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -964*r + 44399. Give y(46).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-144)*-6*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29302*c**3 - 1663 - 32192*c**3 - 1164 wrt c?\nAnswer: -8670*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63211 is divided by 10294?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) -2\/15 (c) 16.09 (d) -4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1121101011?\nAnswer: -1121101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31378 - -6237?\nAnswer: 37615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 less than 15963606?\nAnswer: 15963808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4333 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**4 - 35892250*c**2 - 115106894.\nAnswer: 8*c**3 - 71784500*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 126 (b) 5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/2920?\nAnswer: -3\/2920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**8\/1008 - n**6\/360 + 3*n**2 + 5*n. Let m(g) be the first derivative of u(g). Factor m(q).\nAnswer: q**3*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/((-187)\/408)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30)*(-25)\/20.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.481447 decades in months?\nAnswer: 417.77364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-122)\/16*(-41518)\/1945. Let o = i - 26\/1945. Let y = -827\/5 + o. Find the common denominator of y and -17\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21476 times 378\nAnswer: 8117928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 866 = -o - i, 3*i = -6. Let s = o - 132. Let w be s\/18 + (-2)\/(-6). Solve 16 + 4 = -w*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y\/(y*((y\/y**0*y*y)\/y)\/y)))**(1\/52)\/(y**(-1\/3)*y*y*y\/(y\/((y*y*y**(-3\/4))\/y))) assuming y is positive.\nAnswer: y**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*s - 81*s = 0. Let d(a) be the third derivative of 1\/120*a**4 + 0 - 1\/300*a**5 - 6*a**2 - 1\/600*a**6 + s*a + 1\/30*a**3. Let d(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b**4 + 5*b**4 + 14*b**4 - 16*b**2 + 4*b**4 + 16*b**2 + (-3*b**2 + 2*b**2 + 0*b**2)*(-b**2 - 3*b**2 + 6*b**2))*(3 - 2 - 4).\nAnswer: -96*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19374997, -19374999, -19375001, -19375003, -19375005, -19375007?\n\"Answer: -2*f - 19374995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 181952 and 214.\nAnswer: 19468864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1254.\nAnswer: -2508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -49*l + 9*l - 70*l - 11. Let z be r(-10). Let c = -586 + z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from iisigisuggggiztz?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63*1)\/(-3)*-8*(-33)\/792.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -89 (b) 2 (c) -2\/11 (d) 5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at most as big as 0.107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*d + 44 = 71*d. Calculate the remainder when 41 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*c - 1030, 0*q = 3*c + 2*q + 599. Let f(r) = 6*r**3 + 23*r**2 - r - 33. Let z be f(-5). Is z > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 160*d**2 - d + 2. Let a be w(1). Let o = -80 + a. Let l = o + 152. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 173 = -135. Suppose -19 = -3*b - 10. Suppose -23 = -b*u + h. Which is smaller: 20 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7 + 8 - 1 - 10*b**2. Let j(g) be the first derivative of g**4\/8 + 2*g**2 - 23. Let d(u) be the second derivative of j(u). What is k(d(c))?\nAnswer: -90*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 111*a**3 - 2*a**2 + 2*a - 1. Suppose f = -7 + 8. Let b be n(f). Let c = b - 6. What is the greatest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8665669 to the nearest integer?\nAnswer: 2944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, -55, 0.05, 338, 0, 1\/2?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 19. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000070454 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 170126.\nAnswer: 1701260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5810 and 199200.\nAnswer: 1394400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 23. Let i be b(5). Sort -5, i, -32 in increasing order.\nAnswer: -32, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*t = 0, -294*t = -3*p - 299*t + 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42747 minus 9.82?\nAnswer: -42756.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 549*a**3*p**3*y - 258560*a**3*y**3 - 240661*a**2*p**3 + 19*a**2*y + 2*a*p**2*y**3 wrt a.\nAnswer: 3294*p**3*y - 1551360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89445 and 3660?\nAnswer: 21824580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(21)\/sqrt(7) - sqrt(3))*-1*6)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlvlllklkilllivllvvv. What is prob of picking 1 k and 2 l?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4948915444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 5, p: 5}. What is prob of sequence kv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6900237203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 26*o - 18*o - 162*o**2 - 8*o - 3*o to h + f*o + l*o**2 and give l.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (-7)\/3)*9. Let t(k) = -k**2 - 11*k - 6. Let g be t(-10). Calculate the highest common divisor of r and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 4, o: 1, w: 1, f: 1, v: 3}. What is prob of picking 1 w, 2 v, and 1 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970274 is divided by 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/13 + 8 + 33 + -24\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167353615.\nAnswer: 5, 11, 13, 19, 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 1. Let j = k + -105.061. Round j to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 10:44 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 464?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6014)\/(-12) - 22\/132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -10732228?\nAnswer: 10732228.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, d: 8}. Give prob of sequence zz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:00 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50331, 51818, 53329, 54876, 56471, 58126, 59853, 61664?\n\"Answer: 2*x**3 + 1473*x + 48856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/5 - (-4)\/10. Let -1\/3 + 1\/3*l + 1\/3*l**2 - 1\/3*l**p = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3)*1\/6. Let h = -1\/14 - -33\/70. Let s = 7\/4 + -67\/36. Put y, s, h in descending order.\nAnswer: h, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6856 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -6\/11 (c) -105 (d) 3 (e) 6 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 divided by -47?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12537 + 12539. Solve 2*r = 3*q + 2, q = -0*r - c*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i - 28*i + 950940 = -17*i. List the prime factors of i.\nAnswer: 2, 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -1011110?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -21. Suppose -h - 1196 = -y*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23701, -94802, -213237, -378952, -591893, -852006?\n\"Answer: 9*w**3 - 23721*w**2 - w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1)*6\/6. Solve h = 2*f + 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 6*z**2 - 2*z + 5*z**2 - 14*z**2 to the form k*z**2 + o*z + l and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a - 4*a - 8*a)*(-372 + 128*a + 372) - a**2 - 3*a**2 + a**2 + 0 + 0 - a**2 + 2*a.\nAnswer: -2820*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -110010110000111010 (base 2) to base 10\nAnswer: -207930","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108966*s - 108966*s + 22426*s**2 to the form n*s + x*s**2 + z and give x.\nAnswer: 22426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 31, 2\/11, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657774803 is divided by 298.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1091735, -2183500, -3275265, -4367030, -5458795?\n\"Answer: -1091765*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14936\/181 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2830\/11089 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -47, -45, -41, -35?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 1216, 4117, 9770, 19093, 33004, 52421?\nAnswer: 78262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 199399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-3)*(0 - -1). Let c(s) = s + 11. Let b be c(o). Let r(h) = -h**3 + 5*h**2 + 6*h + 2. What is r(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12 + (-200)\/(-15) - 256\/(-24). Let f(m) be the first derivative of 43\/4*m**4 + 0*m**3 + 0*m**2 - 15 + c*m. What is the derivative of f(p) wrt p?\nAnswer: 129*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -264349317 or -1321746582\/5?\nAnswer: -1321746582\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 413666143 to the power of 1\/2, to the nearest integer?\nAnswer: 20339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa0 + -c?\nAnswer: -aac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 61*l**2 + 6821*l. Let t(d) = -4*d. Give p(t(f)).\nAnswer: 976*f**2 - 27284*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41411870.2 + 0.02.\nAnswer: 41411870.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b. Let u(d) = 22*d - 27*d + 24*d. Determine u(w(m)).\nAnswer: 57*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 613 + 613. Let w(y) be the first derivative of -y**3 - 1. Determine t(w(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 0.5977, 42, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**6\/120 + c**5\/10 + 3*c**4\/8 + c**3\/3 + 2*c**2. What is the lowest common multiple of 6 and o(7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/40950 and 61\/11700.\nAnswer: 81900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*a - 12, 3*a + 2*a - 20 = 0. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 91*u**2 - 3*u + 57. Let x(b) = -5734*b**2 + 188*b - 3572. Let c(a) = -188*v(a) - 3*x(a). Let w(z) = 41*z**2. Determine w(c(f)).\nAnswer: 362276*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (624 - 601) + (0 - 19) - (1 + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(8\/20 - (-47)\/(-105)). Suppose -16*s = -m*s + 15. Suppose -s*n = -4*d + 5, -8*n + 3*n - d + 30 = 0. Let z(j) = -j**2 + 5*j + 6. Calculate z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -303923717.\nAnswer: -4\/303923717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w + 208 - 364 = 0. Solve w*l = 5*l - b, 3*b + 20 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 209304\/(-4644) - (-3)\/43.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/5, 5, 85, 25483.\nAnswer: -0.1, 1\/5, 5, 85, 25483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13046, 104284, 351918, 834146, 1629166, 2815176, 4470374?\nAnswer: 6672958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -80*h - 52 - 63*h**2 + 33*h**2 + 27*h**2. Let x(t) = -t**2 - 20*t - 13. Let c(i) = 2*m(i) - 9*x(i). Is c(-11) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.8 + -17.8. Which is the closest to g? (a) 0 (b) -1\/4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.7 + -62.3. Let k = 81.00000082 + l. What is k rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58260851.\nAnswer: 11, 5296441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 10*g - 6. Let b be y(-10). Let r(a) = 74*a**2 + 3*a + 15. Let h be r(b). Suppose f + 8439 = -h. Round f to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 4*v + 28, -60*z + 65*z = -4*v + 44 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + a**2 + (-1 + 1 - 2*a)*(3*a - 2*a + a) + (178*a - 170*a + 88*a)*(11 - 10 - 2 - 5*a).\nAnswer: -483*a**2 - 96*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1556 by 160285.\nAnswer: -1556\/160285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 6*x - 16*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/10 - (-13)\/(-65)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -4997.\nAnswer: 4997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*q + 2 = 87*q. Let m(l) be the first derivative of 0*l**q + 3\/4*l**4 + 0*l + 1\/3*l**3 - 6. Find the third derivative of m(s) wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 420676370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 7391*r - 7393*r, 16*y = -2*r + 68 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/6 (c) 2\/3333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2 - 0) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -8\/7*t + 2\/7*t**2 + 8\/7 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, 5, -9, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 395780 and 2156?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 47. Put c, 15, -5, 3 in descending order.\nAnswer: 15, 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25245, 2\/3, 236 in descending order.\nAnswer: 236, 2\/3, -25245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**29*y**33*y assuming y is positive.\nAnswer: y**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niriffi. What is prob of picking 2 i and 2 f?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2760 - 2756. Solve y = 2*s + 2*s - w, 2*s + 4*y = 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(2\/16). Let b be 3 - (-2)\/x*-6. Solve b*s - 1 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 74?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-18)*8\/1. Suppose 2*j + 0*j - x = 0. Suppose j*m - 3*m - 12 = 0. Solve 3*p + 2*l + 1 = 0, m*l - 2 = -p - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 - 395. Let h(z) = -2*z - 3. Let k = 6 - 11. Let r be h(k). Solve -q - 3*t + r = 0, -14 = q - 5*q + m*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 2*q + 1. Let c(m) = 3*m**2 + 4*m - 2. Let j(k) = -4*c(k) - 7*g(k). Let l be j(2). Let o = 8 + -5. Solve -4*a = -o*a - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by -8600.\nAnswer: 19\/1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231211220 - 13030?\nAnswer: -231230310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 932050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 82\/3, 107\/6, 0.5, -2\/3?\nAnswer: 82\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10312 (base 4) to base 2\nAnswer: -100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/16)\/(6\/(-16)*8\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2126, 4283, 6480, 8717, 10994?\n\"Answer: 20*b**2 + 2097*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t - 1383943 = -1383241 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 - 35 = 0. Suppose -4*i = -5*i + r. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 j, and 1 p when four letters picked without replacement from joopppjpopojpjo.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 101267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14743, -14736, -14729, -14722?\nAnswer: -14715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttr when four letters picked without replacement from {r: 1, t: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -46, -73, -118, -187?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 22*y**2 + 12*y - 367. Let l(t) = -7*t**2 + 1. Let r(v) = b(v) + 3*l(v). Let f be r(-26). Factor -2\/7*n**5 + 0 + 6\/7*n**3 + 4\/7*n**2 + f*n + 0*n**4.\nAnswer: -2*n**2*(n - 2)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 469, 2, 0 in ascending order.\nAnswer: 0, 2, 24, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/30)\/4*(-189)\/(-252)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 87468?\nAnswer: 1486956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 - 3*r**2 + 11*r - 3. Let f(k) = -18*k**3 - 8*k**2 + 33*k - 8. Let l(z) = 3*f(z) - 8*g(z). What is the second derivative of l(t) wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 5*z. Let a(k) = 2*k**2 + 4*k + 1. Let u(w) = 5*a(w) - 4*y(w). Let q be 1*(-7)\/(35\/15). Calculate the remainder when u(q) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -751834280790.\nAnswer: -751834280790.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9956130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20203351 by 2.\nAnswer: 20203351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 23*g**2 - 246*g - 7. What are the prime factors of i(21)?\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8351.985 + 8384. Let x = 1.15 + -33.15. Let d = x + k. Round d to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2680 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5554.013 rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5. Let b = 7 + x. Suppose m + 121 = 5*t, 80 = -t + 5*t - b*m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4435050094.\nAnswer: 2, 2217525047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*v - 45. Let u be ((-6)\/3)\/(v\/35). What is the greatest common divisor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5543)\/138 + -4 - -36)*-6?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384239 is divided by 691154.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 5:34 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 3*p - 1. Let l be o(-4). Let k = 16\/187 + -3926\/6545. Let w = -8\/35 - k. What is the closest to w in -2, l, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Suppose h*f + 5 = w + 1, -2*f - 16 = -4*w. Let r = f + 32. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 351, 1427, 3153, 5475, 8339, 11691, 15477?\n\"Answer: -9*z**3 + 379*z**2 + 2*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3534*k + 1485*k - 1808*k + 10777 = 45490 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14224 and 10976?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177199, 354395, 531591, 708787?\nAnswer: 885983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 2. Let r be t(6). Suppose -r*m - m = 5. Let z(c) = -6*c - 1. Calculate z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1449 and 1473 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -20, 4\/19, 0.2, 2, 0.054 in decreasing order.\nAnswer: 2, 4\/3, 4\/19, 0.2, 0.054, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 9 = g - 5*q, -g - 6 = q. Put g, 161, -1, 4, 5 in decreasing order.\nAnswer: 161, 5, 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.2 + 19.2. Let l = -1 + 1.5. What is the smallest value in l, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 13) to base 3.\nAnswer: -22222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*y - 24, -5*y = -3*y + 10. Let x = 18 + a. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + c - 5. Let x be j(-4). Let a(i) = x + i - 7 - 2*i. Let n(f) = -20*f + 9*f - f**2 + 4*f**2 + 11*f. Determine n(a(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 0*a - n - 20 = 3*a, 3*n - 21 = 3*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 404308 and 3172?\nAnswer: 5256004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 17*b**2. Let q(l) = -5*l**2 + 171*l - 6. Calculate q(y(m)).\nAnswer: -1445*m**4 + 2907*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 246780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = 6 - 30. Suppose -d*l + 554 = 76. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 1350?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.129 + -0.029. What is the third biggest value in -5, -4, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34730 and 27784?\nAnswer: 138920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5896187100 rounded to the nearest one million?\nAnswer: 5896000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Suppose -q*z + 64 = 19. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 1059, 2388, 4249, 6642?\nAnswer: 9567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3133, 2968, 2797, 2620, 2437, 2248, 2053?\n\"Answer: -3*k**2 - 156*k + 3292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**4 + h**2 + h - 1. Let d(r) = -14*r**5 - 4*r**4 + 4*r**2 - 18*r - 4. Let x(v) = -d(v) + 4*z(v). Find the second derivative of x(m) wrt m.\nAnswer: 280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emrrrmmoggg. What is prob of picking 1 e, 1 m, and 2 g?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 153. Suppose l + 116 = m. Let b(t) = 9*t**2. Let x(h) = -h**3 - 2*h**2 - 2*h. Let j be x(-2). Let r(c) = 4*c**2. What is j*b(s) + l*r(s)?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2301, 2300, 2297, 2292?\nAnswer: 2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 29. Give d(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005688031571 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*a + 6, -2*x - 2*a = 3*x - 16. Is (10\/8)\/(x\/112) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 - 16*a + 17*a + 12*a - 4*a**3.\nAnswer: -4*a**3 + 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -5)*6\/18. Suppose r - 3 = a. Suppose r*l = -5 + 65. Solve -2*g - 3*h + 5 = 12, -2*g + 5*h = l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 659788441 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9307768*g**2 + 10*g + 358911 wrt g?\nAnswer: 18615536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9108 less than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*-0.53.\nAnswer: -22.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 1 + 1)*(0*h**3 - h**3 + 3*h**3) + 16*h**5 + h**5 + 15*h**5.\nAnswer: 36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.746*3.\nAnswer: -2.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 137 = 5*u. Suppose -3*d = -u + 24. Let h = d - 2. Is 2\/15 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6b04 (base 15) to base 4\nAnswer: 11203021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7940\/200 + (0 + (-4 - -5))*(-6)\/(-20)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**4\/9 - 32*c**3\/3 - 90*c**2 - 264*c - 240. Factor u(y).\nAnswer: -4*(y + 3)**2*(y + 66)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*v + 6*v - 6*v)*(-4 - 5 + 4) + (2 + 1 - 5)*(v + v - 3*v) + 10*v - 4*v + 6*v to the form i + o*v and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwwzwzmzzzzzwzzwz. Give prob of picking 2 w.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.2. Let q = -240.8 + 218. Let n = q + 19.8. Which is the third smallest value? (a) i (b) n (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53430 and 57540.\nAnswer: 748020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10140 and 38604?\nAnswer: 32620380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - o - 28. Let r be v(7). Solve -4*i + 10 = -j - r, -i - 3 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2637 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.86 - -0.14. Let y = p + -12. Which is the biggest value? (a) y (b) -0.3 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**2 - 4. Let c = -273 + 293. Suppose 0 = -30*a + 25*a - c. Let u(x) = 5*x**2 + 3. Give a*u(l) - 3*g(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 x, and 1 y when four letters picked without replacement from xbbxbxybxbybyyxxxxxx.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*q - 4*a + 4, 5*a - 10 = 5*q. Suppose 0 = 5*h - m - 49, h + q*h - 32 = -2*m. Let z(y) = -h*y + 7*y + 6*y. Let x(w) = -2*w. Give x(z(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 1)*(-21*s - 32*s - 16*s)*(-1 - 2 + 1) to the form a + j*s and give j.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.3. Let b(c) = c**2 - 16*c + 5. Let a be b(16). Let h = 0.05 + 0.35. What is the third smallest value in v, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 40 = m. Suppose 5*o = c + 129, -6*c = -c + m. Let x = o - 3. Calculate the highest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.74 - 26. Round c to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1779 + -1775. Solve -3*n - 4*i - 10 = -2*n, 3*n + v*i = -14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 38*v**2 - 1647*v + 36*v**2 - 1479*v + 881*v.\nAnswer: -2*v**2 - 2245*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 4)*(-5*r + 4*r + 5*r + (3 - 4 + 3)*(3 + 3*r - 3) - 1 + 1 + 2*r + 5*r - r - 3*r + (r + r + 0*r)*(-1 - 3 + 1)) to z*r + b and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 945828 and 909?\nAnswer: 95528628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/3 + -9 + 12. What is the nearest to -2 in -3, 4, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 4*k + 1. Let n be g(3). Suppose -494 = -n*a - 30. Suppose d + 5 = 0, 4*b - 4*d + 24 - a = 0. Calculate the least common multiple of 20 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942313901 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**7\/70 + 9*r**6\/20 - 389*r**5\/60 - 60*r**2. Find the third derivative of t(u) wrt u.\nAnswer: 72*u + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/70*(-66660)\/(-4848)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/49 and 117\/18592.\nAnswer: 130144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59, -55, -51?\n\"Answer: 4*l - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 18707\/156) + (-1)\/(-24)*-2.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11*c + 3. Let x be d(-2). Let i = -7 - x. Suppose 5*a - 2*h = 62, -h - 13 = -a - 0. What is the highest common divisor of i and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127008.88 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, 10 in increasing order.\nAnswer: -0.3, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(484\/(-462)))\/((-2)\/(24\/(-9)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -58. Let m = -1.5 + 1. Sort m, s, -1\/11 in increasing order.\nAnswer: s, m, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 8 + 8 + 1 + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1504 + 1504. Solve -1 = -4*x + 3*r, -31 = -4*x - a*x - 3*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*b**2\/5 - 492*b\/5 + 544\/5.\nAnswer: 2*(b - 34)*(7*b - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161462 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 451291105 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 24*r**2 + 61*r + 45. Let l = -74 - -95. Let g be q(l). Factor -3\/2*s**g - 9\/2*s + 6*s**2 + 0.\nAnswer: -3*s*(s - 3)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192507, 192540, 192575, 192612, 192651, 192692, 192735?\nAnswer: 192780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502648908 is divided by 167549632.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 4. Let x be w(6). Let n be x\/(-15) - (-2)\/(-3). Factor -1\/5*u**3 + 0 - 1\/5*u**2 + n*u.\nAnswer: -u**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -30*w**2 - 2093*w + 53878. Give r(20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 876189 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -59\/2*r**2 - 8*r + 43\/12*r**4 + 0*r**3 + 2. Differentiate t(a) with respect to a.\nAnswer: 86*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8229 + 10577. What is the highest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 7. Let c be q(5). Suppose -3*j + 8 + 5 = h, 3 = j + h. Let l be 8\/((10 - 15) + 15 - 8). Solve -l*n + 2 = 2*p, -j - 14 = c*p - 5*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 90. Let j = -53 - -53. List the prime factors of m(j).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*(-44)\/11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 924007, 3695982, 8315941, 14783884, 23099811?\nAnswer: 33263722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*q - 8. Suppose -d + q = d. Let k = 15 + -10. Calculate the greatest common divisor of k and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 1.7, 7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -29. Let i(v) = 84*v**2 + 9*v + 12. Let h be i(j). Let c be 8*(-7 + 2)*h. What is c rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292264777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -16. Let q(s) = 14*s**2 - 5*s - 6. Let h(l) = 5*l**2 - 2*l - 2. Let b be -5 + 2*6\/4. Let v = b + -2. Determine g*h(r) + v*q(r).\nAnswer: -r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y**(-1\/4))**(-34)\/((y**(-1))**(-12)\/(y**0)**(-43)) assuming y is positive.\nAnswer: y**(333\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -0.4, -2, 42, 430, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:39 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1871580 - 1010189. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - v - 14. Is w(6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 22. Let v be m(13). Let h be -4 - -1 - (-21)\/v. Which is the nearest to 1? (a) 3\/8 (b) -3\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11538119.115 rounded to the nearest 100000?\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*c**2 + 361\/3*c + 30 = 0. Calculate c.\nAnswer: -90, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-5 + 1 - -17) + 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*w - 3*w + 13*w + (0 + 0 - 2)*(w - 3*w + 3*w) - w - 2*w + w as u + p*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159408553.\nAnswer: 159408553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 4. Let t be h(-4). Let i be -10*5*t\/100. Let m = -24.9 - -27.9. Put i, m, 0 in decreasing order.\nAnswer: m, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**2 + 5*f - 8. Let r = -2140 - -2136. Let w(j) = 2*j - j**2 - 3 - j**2 - j**2. Let l(s) = r*a(s) + 11*w(s). Determine b so that l(b) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 5*z**2 - 4*z + 2. Suppose 0 = -2*f + 9 - 3. What is the remainder when 6\/(-15) + 154\/10 is divided by m(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1259 + -1204. Solve w*a + 45 = 50*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) 6\/1763 (b) -2 (c) 0.2 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -134050 to the nearest one thousand.\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 124337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/sqrt(2))\/sqrt(7))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 32, 71, 128, 203?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 2*a - 27. What is the tens digit of m(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43718*1684\nAnswer: 73621112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - -0.25. Let g(y) = y**3 - 4*y**2 + 3*y. Let v(c) = c**2 + 6*c + 2. Let q be v(-6). Let o be g(q). Which is bigger: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) 0 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*o**3 + 25*o**3 - 20*o**3 + (1 + 0 + 2)*(0*o**3 - o**3 + 3*o**3) - o**3 + 0*o**3 + 3*o**3 in the form u*o**2 + y + l*o + j*o**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 7.94. Which is the nearest to -0.1? (a) -2\/5 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*v)*(3*v - 3*v**2 + v**2 - v) + 2*v - 2*v + 3*v**3.\nAnswer: 9*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r**2 + 3*r + 4. Let n(f) = 24*f**2 + 6*f + 9. What is -9*g(q) + 4*n(q)?\nAnswer: -21*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (4\/(-2) - -3). Let u(q) = 1 - q - q**2 + 0 - 49*q**a + 48*q**3. Let m(c) = -7*c**3 - 6*c**2 - 5*c + 8. Give -m(f) + 6*u(f).\nAnswer: f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.48187285 rounded to three dps?\nAnswer: -22.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 20*k. Let r(h) = -h + 1. Let b(w) = -10. Let n(z) = -b(z) + r(z). Let y be n(7). Solve 5*s + k*s = -3*m + 13, -y*m + 2*s = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**3 - 148*m**2 + 73*m - 25. Calculate i(-17).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 10) to base 3\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -616*i - 29. Let p(j) = 2*j - 8. Determine o(q) - 4*p(q).\nAnswer: -624*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7734 - -2441?\nAnswer: -5273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 456 + -468. Let n(t) = -t**3 - 14*t**2 - 27*t - 36. Let q be n(s). Solve -4*a + 10*a + 24 = q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 18. What is the second biggest value in -0.2, 4\/5, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137.6 - 130.6. Which is the nearest to d? (a) 1\/8 (b) 7\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/32)\/3*24\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-2)\/110))\/(91432\/16624).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(832) + -5 + 4 + -2 + sqrt(832) + 0 + sqrt(832) + 3 + -5 + -4)**2.\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 38.99999816. What is h rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/((-3312)\/2244) - (-4)\/48*2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*60\/(-55). What is the closest to -0.4 in -4, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -24*t**3 - 2*t**2 - 11*t + 4. What are the prime factors of w(-9)?\nAnswer: 7, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbkcbckkccckccccck. Give prob of picking 1 k and 1 b.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2577.\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1935\/215*(-1273)\/171.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g = 0. Suppose -4*k + 5*k - 3882 = g. Suppose 5*c + k = r + 182, 3*c - 4*r + 2220 = 0. What is c rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 373 times -108279\nAnswer: -40388067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2. Let i(l) = -l**2 + 3*l + 5. Let w(z) = -2*i(z) - 2*r(z). Let m be w(4). Suppose -5*c - m*c = -434. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1003211 (base 5) to base 10\nAnswer: -16056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-114)\/(-8))\/19)\/1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.0708, -18 in ascending order.\nAnswer: -18, -4, 0.0708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4912 + -53976\/11. Let m = 1\/1596 - 80599\/1596. Let b = 541\/10 + m. What is the common denominator of w and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/4 - ((-6239)\/(-476) - 15).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 17, 1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*j - 335*j + 47 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -36 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 10708646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-1350) + (-23)\/(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 261, 2, 412 in decreasing order.\nAnswer: 412, 261, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - u + 6 = -5*u, -5*b - 22 = 3*u. Let z(r) = 2*r + 4. Let i be z(3). Let w = b + i. Sort -4, 2, w.\nAnswer: -4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 35 - 1)*(-2*r**5 + 20*r**5 + r**5).\nAnswer: 760*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -62 (b) -4 (c) -24.3 (d) -1 (e) 0.4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + 0.39. Let i = 0.3 - 0.1. Which is the nearest to -1? (a) i (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + b**3 - b**4 - 2*b**2 - b**3 as i + s*b**2 + u*b**3 + o*b + h*b**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 926*c - 961*c - 525 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -62. Suppose 0*d + 2\/5*d**3 + 4\/5*d**z + 0*d**2 + 2\/5*d**5 + 0 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20113220 - 11?\nAnswer: 20113203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22228997 minus -0.1?\nAnswer: -22228996.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53)\/(3710\/(-28)))\/(2\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 13, u: 3}. What is prob of sequence uuo?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486, -514, -562, -642, -766, -946, -1194, -1522?\nAnswer: -1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 128276*a**3 + 9*a**2 - 3 + 128273*a**3 - 9. Let v(n) = -n**3 + n**2 + n - 3. Let l(y) = -b(y) + 2*v(y). What is l(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0042 + -3.0042. What is the third biggest value in 0.5, -0.5, -0.08, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 24 = 5*u. Find the first derivative of -4*o**3 + 0 - 16*o**u + 11 + 0 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:27 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37321 - -64560. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 n when four letters picked without replacement from rrnffprnrerrefo.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 115. List the prime factors of a.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 9*d + 12. Suppose 0 = 119*i - 109*i - 60. What is the smallest common multiple of w(4) and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, t: 1, n: 4, f: 1, u: 3, i: 5}. What is prob of picking 1 i, 1 u, and 1 t?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l + 8368. Let t(s) = s. Give t(p(c)).\nAnswer: -5*c + 8368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 1210?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7830690.\nAnswer: 2, 3, 5, 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164607 = 2*l + 5*w, 3*l + w - 353446 = -106542. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 (base 11) in base 15?\nAnswer: de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/2244996 and 65\/3936.\nAnswer: 17959968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 250*r**2 + 150513*r + 7828. Determine j(-602).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3 + 40149*i**2 + 3428*i - 15 wrt i.\nAnswer: -6*i + 80298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1504441 and -3.\nAnswer: -4513323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/8*(-326)\/(-489). What is the nearest to -1\/3 in -0.2, b, 3\/7, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57553737?\nAnswer: 3, 43, 67, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1521296 - 33418703\/22. Let l = b - 2268. What is the common denominator of 0 - (0 + 242\/36) and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + (sqrt(135)\/sqrt(5) - (sqrt(90)\/sqrt(3))\/sqrt(10)))**2.\nAnswer: 28*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 12*n**2 + 6*n + 7. What is the remainder when h(-5) is divided by ((-6)\/4)\/((-4)\/40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59293 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 + (-5)\/((-135)\/6069). Suppose 3*b = -n - 2*b - j, 2*b = n + 253. Let d = n + 404. List the prime factors of d.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 57*d**3 - 7*d**2 - 9*d - 2. What is b(-1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 - 31396*c**4 + 31388*c**3 + 31396*c**2 - 31392*c = 0 for c.\nAnswer: -1, 0, 1, 7848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + (-3 + sqrt(44) - sqrt(11)) + -1*sqrt(891)*-3 + sqrt(891) + 4)**2.\nAnswer: 592*sqrt(11) + 15123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, -1, 1\/6, -150, 20, 0 in decreasing order.\nAnswer: 20, 1\/6, 0, -1\/15, -1, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {s: 8, w: 8, n: 2}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 272 + 2688 = 0. Let b = -150 + 46. Let z = b + n. What is the remainder when 175 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1\/(-18)*-14. What is the second biggest value in 0.1, 4\/5, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w + 5. Suppose 7*q + 4*h = 6*h + 23, 0 = -2*q + 3*h - 8. What is d(q)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * -4.7707.\nAnswer: 0.667898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037869169 rounded to seven dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*r = -2*r - 36, 0 = -5*r - 15. Find the second derivative of k*o**2 - 11*o**2 - 22*o**2 - 6*o + 31*o wrt o.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 6*g - 3. Suppose z - 4*z + o + 10 = 0, z - 1 = -2*o. Let w = z + 1. What is the units digit of y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29108 and 5.\nAnswer: -145540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**(-47)*(a**(-2\/13))**(4\/19) assuming a is positive.\nAnswer: a**(-23242\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2344 + -287.3344. Let l = 287 + y. What is the nearest to 0.3 in -1.4, l, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 26 = -49 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, w: 2, m: 1, k: 1, g: 2, h: 7}. What is prob of sequence kwm?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 2*v**2 - 4*v - 3. Let y be f(-2). Suppose 5*l = -4*i - 51, 1 = -l + y*i + 14. Let w = 1 - l. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpxmzzmxxxm. What is prob of sequence xm?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**6 - 166*i**5 - 2*i**3 - 417*i**2 - i + 13?\nAnswer: -240*i**3 - 9960*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 268176149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -13. Let i(q) = q**2 + 4*q - 8. What is the remainder when i(a) is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -476 times -74\nAnswer: 35224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 2*i**2 + 16*i + 28*i.\nAnswer: -i**2 + 44*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -1807.\nAnswer: 3\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7704 is divided by 3740.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = 2*g - 2542, 2*g = 2*u - 1014. Suppose 2*j + 552 = -q, -4*j + 2*q - 604 = u. Is j\/(-9) + (-8)\/(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -96*a + 192. Let q be z(2). Determine d, given that q - 6*d**4 + 4\/7*d**3 + 16\/7*d - 18\/7*d**5 + 40\/7*d**2 = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839588 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + -907\/9. Which is smaller: 11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 62 + 89)*(6*g**4 - 4*g**4 + 0*g**4) + (0*g**2 - 3*g**2 + 4*g**2)*(-3*g**2 + 2*g**2 + 0*g**2).\nAnswer: 185*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**7\/280 - c**6\/160 - 16*c**2 + 6*c. Let n(y) be the first derivative of l(y). Suppose n(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14355 and 37265?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 2)*(0 - 5 - 3)*(-3*l + 4*l + 0*l) in the form w + n*l and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/823551 and 143\/30.\nAnswer: 8235510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from zzkczsccccz?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -50*z - 3*z**4 + 25*z**3 + z**4 - 698*z**2 - 7*z**3 + 668*z**2 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - c + 15. Let f = 83 + -87. Let r be q(f). Suppose -3*u = 4*t - 326, 2*t - 1 = r*t. What are the prime factors of u?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 500, 26, 655 in increasing order.\nAnswer: 26, 500, 655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -105749.7 rounded to the nearest 100?\nAnswer: -105700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3\/2 (c) -2\/7 (d) -161 (e) -0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q**2 + 3*q - 1. What is the remainder when b(-2) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*w + 251, 231 = 4*w + w + s. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 21*t - 17*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/40 - z**4\/12 + z**3\/6 - z. Let y(a) be the second derivative of w(a). Find the first derivative of y(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 2 + 511. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 11*s + 60 = c, 5*s = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 664.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -26*g**2 - 119*g + 1. Determine i(-5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, d: 2, i: 4}. What is prob of picking 1 i and 1 d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(250))\/sqrt(10))\/(-1*sqrt(605)).\nAnswer: -2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-18)*2*3. Let h be 2\/(-6) + m\/6. Is -2 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 - 190\/855. Let b be (-6 - a)\/(-4 + 15\/6). Solve -3*w + 4 - 21 = b*j, -5*j - 29 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 1. Let q be 52\/2 - 3\/1. Find the first derivative of -q + u**3 + r - u**3 - 26*u**4 wrt u.\nAnswer: -104*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -52 + 8 - -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61667581*o**3 + 30833808*o**3 + 30833784*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2 + 27 = 0?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -316220438044.7.\nAnswer: -316220438047.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y + 128. Calculate u(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (5 - (4 - 1)). Suppose 1 = 4*y + 9. Calculate the remainder when 294\/(-3)*o\/y is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 9. Let t be f(7). Let s(r) = 5*r**2 + r + 2. Let m be s(t). Suppose m = 12*l - 8*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -409 + 1669. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/17 + -19\/51. Let c be 1\/(-1)*-1*1. Let n = c + 0. What is the nearest to m in -1\/2, -3, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 3. Let f be p\/(-9) - (-52)\/(-6). Let v = 25 - f. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2776 is divided by 1656.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 554838 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/60 + a**4\/3 + 13*a**3\/6 + a**2. Suppose -5*o + 15 = -30. Let y be j(o). Solve -f + 0*f - y*s = -10, 0 = 3*s - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 15*u. Let d(n) = -2*n - 2*n + 2*n + 3*n. Give d(x(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 297 = -17. What is the remainder when d is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 902 and 1476?\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f. Let g(x) = -x**2 - 10*x + 3. Let m be g(-10). Let r(t) = 10*t - m*t - 5*t. What is r(d(c))?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 5:48 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (-3 + 5 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1296 + 733. Let p = f - -644. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2895, -11260, -25057, -44244, -68779?\nAnswer: -98620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/5)*d\/d**(-4)*((d\/(d*d\/(d\/d**(2\/7))))\/d)**23 assuming d is positive.\nAnswer: d**(-839\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*s**4 + 2*s**3 - 7449*s + 11010206 wrt s.\nAnswer: 20*s**3 + 6*s**2 - 7449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose -2*n + 3*t - 14 = -2*t, -n - 13 = -g*t. Suppose -7*z = -22 + 1. Solve -4*l - z = -a - 2, l - n*a = -14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(180) + 0 + 0 + sqrt(180))*1 - ((0 + sqrt(180))*6 + 3 + (sqrt(180) - (-1 + sqrt(180))))))**2*-6.\nAnswer: -17376 - 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521792*h + 83151*h + 249508*h + 5*h**3.\nAnswer: 5*h**3 + 854451*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 32163849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgfgf. What is prob of picking 1 c, 1 g, and 1 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1551 + 1556. Solve 0 = -3*a + n*a - 2*s - 14, 4*s = 2*a - 24 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(175))**2*-6 + sqrt(63)\/sqrt(441)).\nAnswer: -5*sqrt(7)\/7 + 5250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112987 is divided by 642?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 297 - 269. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (1 + -3))\/1. Suppose s*c = -2*c + 68. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w + 2*w - 1 + 3*w. Suppose -14*c - 120 = -34*c. Calculate the least common multiple of k(-9) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 28*k - 3. Let j be y(-2). Let q = -34 - j. Suppose -5*c + q = 0, -2*d - 3*c = -6*c + 21. Sort -15, 1, d.\nAnswer: -15, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/6 + 24\/6. Which is greater: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-70)*365*(-220)\/(-144540)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/8)\/((-69)\/3128). Suppose -5*d + 3*x + 606 = 0, -18 = -d + x + y. Calculate the highest common factor of d and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -342481105 or -342481104?\nAnswer: -342481105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 6:14 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 318238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 16 + 54. Let g = 13 + h. Let x be 2 + (0 - g\/(-8)). Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 143.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (30*(-1633)\/852)\/((-1)\/(-2))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:53 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -438528 + 792779. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let r(w) = 61*w**3 + 4*w**2 + 4*w - 4. Let s(p) = -243*p**3 - 15*p**2 - 15*p + 15. Let q(v) = 15*r(v) + 4*s(v). List the prime factors of q(d).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 2, r: 3, f: 6, h: 1}. What is prob of picking 2 f, 1 y, and 1 o?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 1, z: 1, j: 2}. Give prob of picking 1 w and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**5 + 25*o**4 - 230*o**3 + 200*o**2 = 0.\nAnswer: -10, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0*k**5 + 0*k**2 - 4\/3*k**4 - 2*k + 0 + 0*k**3 + 7\/15*k**6. What is the third derivative of s(q) wrt q?\nAnswer: 336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 936622151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4 + 0*j**2 + 2*j**2 - 2 + 2 - 3*j. What is i(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 6) to base 7.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 22. Which is smaller: -1.3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in -0.5, -4, -7, 1\/4, 0.24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (168\/(-20))\/(-3))*-2. Which is smaller: q or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 68416?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345873 is divided by 374?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phphiooqofqh. What is prob of picking 1 h and 1 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 1312 - 374 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g - 10, -2*g - 4 = 2*i. Suppose -2 = 5*w + i. Let r be (-8)\/((3\/(-126))\/w). What is r rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = -11*m + 305. Solve 12 = m*a + 2*s, a - 36 = -3*a + 4*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 - 144. Suppose 0 = 5*x - 0*j + 2*j - i, -36 = -3*x - 3*j. Suppose 0 = 23*h - 26*h + x. Calculate the remainder when 7 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 49 - 21)*(1889*f - 962*f - 1496*f).\nAnswer: -4552*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Suppose -3*s = 4*v - 5*s - 44, -3*v + s = -30. Let h = 3.1 - 3. What is the second smallest value in h, -0.5, a, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8493*s**3 - 2*s**2 + 546*s + 1 wrt s.\nAnswer: -50958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, 5, -3, 0.0453, 5.2.\nAnswer: -3, -2\/5, 0.0453, 2, 5, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87553135 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201943394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3993, -3994, -3995, -3996, -3997?\nAnswer: -3998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 630354090 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + ((-18)\/7)\/((-3)\/21). Calculate the greatest common divisor of j and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 6, -2, -827, -4 in descending order.\nAnswer: 13, 6, -2, -4, -827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*w = -2783 - 3572 + 1391 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -191146844*u - 214171996.\nAnswer: -191146844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*h + 61*h + 51 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33019?\nAnswer: 7, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 + 3. Let w = 7.2 - -1.8. Let f = w + -9.2. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200302030 - -2?\nAnswer: -200302022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*v - v - 33, 3*v - 39 = 4*c. Let g = c - -17. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 5*i**7\/357 + i**6\/204 - 11*i**5\/85 + 11*i**4\/51 - 8*i**3\/51 + 8*i**2 + 3. Let q(u) = 0. What is u?\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 6 + -4 + -65 + 42\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 16 + 4 = 0, -3*t = -3*i + 6. Let l be i\/(-4)*-2 - 2. Differentiate -36*a + l - 2 - 5 + 26*a wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 503 + -503.0000578. Round c to 6 decimal places.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 117 - 102 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1192)\/20264)\/((-1)\/(1\/7)).\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x = 20*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 890 (b) 4 (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*j + 4*v - 3, 0 = 3*j + v + 2. Let g be ((-256)\/48)\/(j\/3). Solve 3*p - g = -k - 1, 5*p - 25 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*192\/18*-12. Find the common denominator of -25\/8 and 1 - (-3 + (-1116)\/f).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = 3*s - 60. Let w = s - -70. Let d(p) = -p**2 + 13*p - 2. What are the prime factors of d(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 8*q**2 + q + 10. Let w be k(-8). Solve 0 = c + c - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*i*j**2 - 359*f*i*j - 2*f*j**2 - 784*i - j**2 with respect to f.\nAnswer: 4*i*j**2 - 359*i*j - 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 - 30. What is the remainder when 907 is divided by p?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 - 44*w + 4 - 4 + 3 in the form k*w + j and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + 45\/(-20). Let b = -293\/5 + 59. Let r = 3 - 3. Sort r, b, c in ascending order.\nAnswer: c, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1257628696449\nAnswer: -1257628696445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9 (b) 0.071 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/9)\/(-8))\/(4\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33.9 * -2\nAnswer: 67.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -489*g**3 - 133980*g**2 - 9176397*g + 112614.\nAnswer: -3*(g + 137)**2*(163*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1517131 - 4223473. Let y = -12981659 + 18988001. Let o = f + y. Round o to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -37.098. Let l = o + -1.048. Round l to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17149544437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 239*k + 15800. What is a(-53)?\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19967582 to 3 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*x + 2*d, 5*d - 5370 = -x - 5325 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 330.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*a - 15 = 0, 3*f = 4*a - a + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 24*l**2 - 24*l + 32. Calculate t(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918082 is divided by 152975?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 6 + 20 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + 28. Calculate the remainder when g is divided by 1 + -3 - ((-100)\/150 + (-152)\/6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iioiciocoocccicsoco. What is prob of sequence os?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t + 0*t**5 - t**6 + 0*t**3 + 7\/2*t**2 + 6 + 0*t**4. Find the second derivative of k(z) wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -394 (base 14) to base 7.\nAnswer: -2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2 + -50?\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -22.3. Which is the nearest to -0.1? (a) 2\/3 (b) 0.6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022 is divided by 538.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/15 - 1\/5. Sort -4, -0.16, w.\nAnswer: -4, -0.16, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-534)\/880)\/((-63)\/28). Let q = -3\/22 + f. What is the third biggest value in -2\/7, -0.66, -4, q?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4\/7 - 433700*m**3\/7 - 619592*m**2 - 12144112*m\/7 - 1487040 = 0.\nAnswer: -6, -2, 216860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.4 + 7.1. Let d = -56 - -52. Which is the nearest to n? (a) 5 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-1)*2\/(-12).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o. Let f(p) be the third derivative of -7*p**4\/12 + 27*p**2. Calculate 4*f(q) + 11*z(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1359*f**3*m**2 + 115*f**2*m**2 - 3*f**2*m + f**2 wrt f?\nAnswer: 8154*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:38 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31 from 0.127.\nAnswer: -30.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45536*b**2*d*k**3 + 2*b**2*d - b**2*k**3 - 51808*b**2*k**2 + b**2 - 2*k wrt d.\nAnswer: 45536*b**2*k**3 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 17*b**2 - 24*b - 2. Let h(a) = 12*a**2 - 21*a - 2. Calculate -6*h(n) + 5*w(n).\nAnswer: 13*n**2 + 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y + 3*p - 27 = 0, 0 = -2*y + 4*p. Solve y = 5*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 35781*w + 214517. Determine s(-6).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 420 = 2*z. Let j(q) = 2*q**2 + 10*q - 37. Let s = -278 + 269. Let y be j(s). Calculate the greatest common factor of z and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -4661.\nAnswer: -9\/4661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.8 and 12377?\nAnswer: 34655.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1029*d - 414. Is 73 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 16 = 30. What is the highest common divisor of s and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -935*y**5 + 2646*y?\nAnswer: -18700*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 30 = 2*c, -6*c + 5*c + t = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 3*n**5\/160 - n**4\/32 + 5*n. Find y, given that l(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(3\/7)\/n)\/n**(-2\/7))\/(n\/(n*n**4)*n*n**(-2\/9)))**(14\/3) assuming n is positive.\nAnswer: n**(370\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -0.1 (b) -0.51 (c) 0.1 (d) 2\/9 (e) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83286 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8278 + 0.1722. Which is the nearest to 1\/2? (a) -1\/3 (b) -1.1 (c) g (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -14.9. Let k = 190 - 190. Which is the third smallest value? (a) x (b) 5 (c) 0.2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28797561 divided by -3\nAnswer: -9599187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10776 divide 142372512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 19253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Let t be 162\/24 - (-2)\/8. Let i = t - y. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - (-312)\/42)\/((-1)\/(-7)). Put 25, s, -11, 0 in ascending order.\nAnswer: -11, s, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1367 + -1369. Which is the second biggest value? (a) 5 (b) j (c) -30.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 81 + 189 = 0. Let a = 30 - b. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 1. Let g be (0 - 0)\/(d - -2). Suppose -w - 2*w = 4*r - 18, 2*w - 4 = g. Solve -f = -r*k + 14, 0 = -f + 2*f + 2*k - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*n + 8, 0 = 4*i - 21*n + 25 + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 6\/(-3) + (1 - -4). Put -7, w, 0 in ascending order.\nAnswer: -7, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 10. Let u be g(8). Let n(m) = m - 2. Let o be n(u). Suppose 3*d = h + 16, -o*h + 2*d - 15 = h. What is the smallest value in 0.3, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1))\/((-4)\/(-10)). Let y = k - 8. Let b(o) = 7*o + 3. Let l(u) = -u. Let q(n) = b(n) + 6*l(n). Give q(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0573 + 0.0562. Let x = -0.23 - -0.12. Let u = a + x. What is u rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/2288 and 5\/66.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + u**4 - u**4)*(-1 - 2 + 4)*(2 - 4 - 2).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*j - 21, -1838*j + 1835*j - 36 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 35*q**2 - 386*q + 9. Calculate s(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010011 (base 2) to base 12.\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2 - 225396*z + 2479114 = 0.\nAnswer: 11, 112687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*j - 17688, 3*i + 2*j - 10608 = -2*j. What is i rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + 50. Suppose -7*b - t = -64. Solve b*j = 5*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(2))*6)**2 - sqrt(2) - (sqrt(50)*2)**2) + -5 - ((1*sqrt(132) - sqrt(132))\/sqrt(11))\/(-1*sqrt(24)\/sqrt(4)).\nAnswer: -133 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(27)\/sqrt(3)*2 + sqrt(9)) + sqrt(10)\/(sqrt(45) + (sqrt(1620) - sqrt(45))).\nAnswer: 7*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 40*p - 45. Let j(a) = -17*a + 9. Let x(q) = -38*q + 20. Let k(o) = 9*j(o) - 4*x(o). Calculate -90*k(t) - 2*w(t).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9 + 21 = 3*m, 0 = 5*m + 2*z - 50. Solve -m*u - 14 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*x - 4 - 0, -5*w - 2 = x. Let r be (15740\/(-6))\/x*(30017 - 17). Round r to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 606730*c + 1. Let i(o) = -o**2. What is g(i(n))?\nAnswer: -606730*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1. Let b(u) = 2*u. Let p(l) = -9*l - 1. Let w(r) = 6*b(r) + p(r). Calculate -5*d(a) - 2*w(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -168702, -674825, -1518366, -2699325?\n\"Answer: -168709*l**2 + 4*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*m + 942 = 0, -8*r + 3*r = -3*m - 1576. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 10010103210223?\nAnswer: 10010103210300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -8*i**2 - 171*i - 121 + 14*i**2 + 61*i**3 - 60*i**3 - 90*i**2 + 35 = 0.\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17254892 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/11)\/c*c*c*c**(-5)*c*c*c*c*c*c**(1\/15)\/c*(c\/((c\/c**(2\/7))\/c))\/c assuming c is positive.\nAnswer: c**(512\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**2 - 3. Let h(n) = 21*n**2 + 93*n. What is h(w(s))?\nAnswer: 1029*s**4 + 231*s**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33\/2*48\/9.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**4\/24 + 4*j**3\/3 - j**2. Let f be (7\/2)\/(2 + 12\/(-8)). Let n be o(f). Let u(b) = -2*b - 1. Give u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*w = -14, 4*q - 5*w + 12 + 19 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:59 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20103256.\nAnswer: 2, 241, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 6*i**2 + 2*i + (-3*i - 3*i + 5*i)*(-8*i - 9 + 9) + (-9 + i + 9)*(i + 2*i - 4*i) to the form a*i + l + c*i**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*p**2*y - 19*m**3*y + 9*m**2*p**2*y + 4*m**2*p**2 - 5*m**2*p + 3*p*y wrt p.\nAnswer: 4*m**3*y + 18*m**2*y + 8*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 4:06 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*z = -42, 2*w - 7*z + 124 = -22*z - 13*z for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*z**2 - 1\/7*z**4 + 8\/7*z - 6\/7*z**3 + 1\/7*z**5 + 0.\nAnswer: z*(z - 2)**2*(z + 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 16*b + 185. Let w = b + 47. Let v = -78 - -115. What is the remainder when v is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 1, g: 1, b: 5, c: 3, w: 2}. What is prob of picking 1 r, 1 g, and 1 n?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - -0.1610336.\nAnswer: 0.0910336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 5?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = 3*w. Which is greater: -5 or w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-691)\/((-483700)\/(-2000))*(21\/(-18))\/((-2)\/4).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 5*o - 5. Let q be b(6). Let h = 3 + q. Let y be (-3)\/6 - (-10)\/h. Solve -z - 5 = w, 2*w - 5*z + y + 8 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4675*r**3 - 3448 wrt r?\nAnswer: -14025*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 300*b + 14. Let t be r(9). Is (t\/(-3))\/(4 + 28\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 8748.\nAnswer: 43740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 5:15 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 + 111*r**2 - 81*r - 319. Is g(48) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-16 - -15 - 12)) + 10 + 90?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -225.8 (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(13))**2 + (-3 + sqrt(13))*5 + sqrt(143)\/(sqrt(11) - (2*sqrt(11) + sqrt(11))) + sqrt(13) + 4 + 1 + sqrt(13).\nAnswer: sqrt(13)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**2\/9 - 344*a\/3 + 7396 = 0.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 46, 145, 336, 649, 1114, 1761, 2620?\n\"Answer: 5*q**3 + q**2 - q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 573, 13, 132 in ascending order.\nAnswer: 13, 132, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/7 in 1, -0.4, 2, 109, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/24 + 11*m**2\/2 - 8. Let u(s) be the second derivative of l(s). Let p(v) = 4*v - 9*v + 0*v. Give u(p(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 137*v**2 - 8*v - 31. Is g(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -12.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -165, -284?\n\"Answer: -119*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 55.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/3 and -31\/759.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 5*o - 5. Let s be f(6). Let a = 197 - 194. Suppose -a*l = q - 8*l + 5, 29 = 5*q + 2*l. Sort q, s, -1, 4.\nAnswer: -1, s, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -254*b**2. Let i(v) = -13*v**2 - 15. Let d(o) = 189*o**2 + 216. Let m(l) = -5*d(l) - 72*i(l). What is m(q(w))?\nAnswer: -580644*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.04 + 9. Let l = c - 0.06. Let j = 2.2 - 2. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = z, 8*z - s = 4*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 30 = -g. Let k(x) = x**3 - 10*x**2 + 2. Let r be k(g). Solve 3*j + h = -3, 5*j = -0*j - r*h - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 23*o + 8 = -5*t, -o - 3 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -23*o**2 - 25*o - 118. Let f be y(-5). Let k = 612 + f. What is the lowest common multiple of k and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -13*w - 3 + 28 + 2*w + 6*w. Let d be l(6). Suppose -a + 12 = 2*a. Put a, 5, d in descending order.\nAnswer: 5, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 8 - 8)*(5*v**3 + 80*v**4 - 4*v**3 - 78*v**4).\nAnswer: 6*v**5 + 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384384 divided by -156.\nAnswer: 2464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.032.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -957.2 - -961.2. Is o > 248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -0*d + 90 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 177800392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, e: 1, j: 1, t: 7}. What is prob of sequence tevt?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 o when three letters picked without replacement from srorsrrrorjjrjsjjrj?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1161112 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q. Let j(o) = -35197*o**2 + 9. Calculate z(j(m)).\nAnswer: 211182*m**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c**3 + 7*c**2 + 7*c. Let o(f) = -7*f**3 - 4*f**2 - 4*f. Calculate -4*n(k) - 7*o(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1139)\/(-1675))\/(3\/(-5)) + 6\/45. Let f(r) = -4*r**2 - r - 1. Let l be f(-1). Put 13, l, a, 2 in ascending order.\nAnswer: l, a, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -497*w - 493. Let l be u(-1). Sort l, -25, -44.\nAnswer: -44, -25, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 15 - (-1017 - -1003).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64862*j - 3*v = 64865*j + 102, -3*j - 5*v = 112 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k - 16. Give a(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 62 + 2 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = -39295*h + 39296*h + 54, -2*h - 12 = 4*z for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x - 36*x + 4*x - 11*x as a*x + f and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-14)*p))\/(p*p*p**16) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/31015 (b) -5\/2 (c) -2\/7 (d) -5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.9 (b) -51\/385 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -8. What is the lowest common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.4 - 5. Let m = 13 + -13.3. Sort -1, o, m in decreasing order.\nAnswer: o, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614*b = 1612*b + 3*n - 20, -4*b - 16*n = 40 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -107 in 0.5, 14.6, 43\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1619.76 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3*136\/(-340)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 + 121*j + 39. Calculate the remainder when x(13) is divided by 88.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12342, 24674, 36996, 49302, 61586?\n\"Answer: -k**3 + k**2 + 12336*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8344092 times -11?\nAnswer: 9.1785012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(42\/(3024\/(-120)))*-7\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 148860\nAnswer: -13\/37215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153729 and 713.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {p: 4, m: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2237, 2238, 2237, 2234?\n\"Answer: -x**2 + 4*x + 2234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 7, 7, 17, 43, 91?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 1) + -2254 + 2295.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 5050514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - ((0 - -7) + -3)) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q - 5. Let z = -14 - -12. List the prime factors of i(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*d = -554, 2*c + 28*d - 208 = 33*d. What is the remainder when 155 is divided by c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10849120961 + 0.1464.\nAnswer: 0.03790879039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 170 = -5*w, -w = 5*p - 6*w - 160. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thfh when four letters picked without replacement from {h: 7, t: 4, f: 4}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0211380194 rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x**2 - 5*x - 5. What is the units digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8048 + -144731\/18. Let i(v) = 6*v - 8. Let f be i(2). What is the common denominator of t and 12\/f + 231\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/515 and -97\/5360?\nAnswer: 552080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230313222323 - -10?\nAnswer: -2230313222313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 7*w**2 + 5*w - 6. Let x be g(-6). Let o(m) = -1 + x - m + 0*m - 7. Let r be (-2 - -2)\/(9\/9). Give o(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r + 40*r = -11200. Calculate the highest common divisor of r and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1334 = -8*h + u, -1006 = 3*h + 2*u. Let c = -332 - h. Solve 2 + 3 = 5*t, -c*p + 2*t - 8 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7323610 or -80559720\/11?\nAnswer: -7323610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l - 178 = 134. Solve -10*h + 12 = -l*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**2 + i**2 - 2*i**2)*(0*i**2 - 3*i**2 + 2*i**2) + i**2 - i**2 - 2*i**4.\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7473 and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 2108*u. Let y(d) = -d**2. Calculate t(y(p)).\nAnswer: 2*p**4 + 2108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33451 and 27369?\nAnswer: 301059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 733549 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4757, -58, -2, 2.\nAnswer: -58, -2, 2, 4757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 1a4c?\nAnswer: -1a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkbtitikcitibic. Give prob of sequence ttt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 14. Suppose x*v - 5*y = -3, 0 = -4*v + 3*y - 8*y + 39. Solve -v = -m + 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((25 - 50) + 24 - -5) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10*p\/(p*p*p**(-11)))**(-5\/19) assuming p is positive.\nAnswer: p**(-100\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -31, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 15*v - 49. Suppose -w = -2*w - v. Calculate the common denominator of (-7 + 9)*(-3)\/360*w and 113\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**1\/y)**(-2\/91) assuming y is positive.\nAnswer: y**(-2\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -659\/3 - -235. Find the common denominator of q and 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = i - 2, -4*i - l = -0*i - 11. Suppose -i*b = b - 40. Calculate the smallest common multiple of 1 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 10*s - 7. What is the least common multiple of p(5) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*m - 4*w, 2*w + 32 = -1395*m + 1400*m. Calculate the least common multiple of 48 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from serrqrq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 205 and 9?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*y - 41, -4*z = -y + 8 - 4. Let b be ((-12)\/18)\/(-3*y\/(-396)). Is 11 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -13*z - 181. Let p(c) = -c**3 - 19*c**2 - 3*c - 40. What is the units digit of p(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2043 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527674*j**2 - 3*j - 527675*j**2 + 3*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61856?\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2057) - (sqrt(2057) + -1)**2)*6 + ((sqrt(2057) + 2*sqrt(2057) + 3)**2 - sqrt(2057))).\nAnswer: -30870 - 1925*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2. Let u(l) = -3*l**2 + 2. Let y(d) = -u(d) + 5*w(d). Let i(g) = g**2 + g. Let p = 4 - 5. What is p*y(j) + 2*i(j)?\nAnswer: 4*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -467 - -462. Let z(m) = m**2 + m - 1. Let d be z(0). Let i be 1 + d - (g - 2). What is the highest common factor of i and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 4:38 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 11 - 59. Let a be (-14)\/j - 3\/(-5). Let q(c) = c**2 + c + 1. Let k(s) = 3*s**2 + 3*s. Calculate a*k(v) - 2*q(v).\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/20*(-1035)\/(-48) and -6 + (-2198)\/(-203) + -5.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31168*s + w + 4 = -31173*s, 28 = 2*s - 7*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -1346\/3, 148 in ascending order.\nAnswer: -1346\/3, 0.06, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -3, -9, -27, -63, -123, -213?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, l: 1, h: 2, j: 1, c: 1}. Give prob of picking 1 c and 2 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -139*w**7\/14 - 7*w**4 + 383*w. Find the third derivative of l(g) wrt g.\nAnswer: -25020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(120\/144)*(-45)\/(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55118 and 5425.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*t**3 + 135 - 21*t**3 - 2*t**2 + 2*t - 15*t**5 - 8*t**3 wrt t?\nAnswer: -300*t**3 + 6*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 373483981 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from wppfqffwqqzpqwqq?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 304226 at least -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1290*g - 2176190 = -1300*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5254274 and 23.\nAnswer: 120848302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5420 = 3*j - 5*v - 5496, -7*j - 2*v = -8*j + 6 + 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -227*l**3 - 5*l**2 + 11*l - 956466.\nAnswer: -681*l**2 - 10*l + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167 + -112. Suppose a + 4*p = t, -5*p = -2*a + 7*a - 200. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6057, -25004, -56547, -100656, -157301?\nAnswer: -226452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 136 = -348. What is the greatest common factor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51642 - -3?\nAnswer: 51645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 9 = 1. Let x(v) = -2*v**2 - 3*v - 3. Let k(h) = -36 + 3*h**2 + 4*h + 40 - h**2. Determine t*k(r) - 3*x(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 - 6*w - 11. Let x be y(-2). Let s(i) = 2*i + 19. What is s(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, 0.5, -20055403?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/10 - 283\/(-5). Suppose 0*q - k = 4*a + 3*q, 3*a + 2*q = -42. Is a less than or equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/4 + 3*a**3 + 7*a**2\/2 - 2*a - 166. Suppose -1 + 41 = -5*s. Determine k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1100004 - (5 + 0 + -1). Round p to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.03, 1044, -291, 4, -1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -5 (b) -0.3 (c) -39035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 1615 = -10*j + 2*n, -5*j - 4*n = 8061. Let b = j + 1610. Let z be (3 + 1)*(-5)\/(-4). Is z > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 14. Let t = f + 31. Suppose -11*y + 140000 = -t*y. Round y to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 184, 368, 628, 976, 1424, 1984?\nAnswer: 2668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011011 + 11?\nAnswer: 101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 511*u + 114*u + 124*u - 139*u as x*u + v and give x.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 - 26700510*x + 35645861713005 = 0.\nAnswer: 2670051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y, -16*y + 17*y = 5*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from eeyyeecyeeeeeeeyye.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v\/v**(-12)*v)\/v*v)\/v)\/v**(1\/10))**(1\/71) assuming v is positive.\nAnswer: v**(139\/710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-6 - (-4 - 0)) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 2. Let i = 21.03 - 0.03. Let p = -20.6 + i. Which is the nearest to -2\/9? (a) p (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 5127*i + 3411456.\nAnswer: -3*(i - 2221)*(i + 512)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/12 - 78\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (3 + 2 + sqrt(108) + sqrt(108))**2 + (2 + sqrt(108)*-2)**2)*1.\nAnswer: 78*sqrt(3) + 893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 23 = c, 5*c + 4*n + 0 - 83 = 0. Let h = c + 23. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(((-27)\/(-6))\/(-3)). Let t(j) = j - u*j - j. Let b(n) be the third derivative of -5*n**4\/24 - 5*n**2. Calculate b(t(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 163, 387, 679, 1027?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-20)*(6\/1 + -2). Let p be 7 + -4 - 2\/f*137997. What is p rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s - 3. Let g(j) = -j**3 - 8*j**2 + 2*j + 7. Let l be g(-8). Let k be 2 - (0 + 3\/l)*-3. Let n be u(k). Which is smaller: 8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -35 (b) -6 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.25. Let j = 0.05 + g. Which is the nearest to -3? (a) j (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 5) + (7 - 4). Let k be 0 + x*(-9)\/3. List the prime factors of (18\/(-21))\/(k\/(-42)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*n + 1 = 0, q + 12*n = 9*n - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*b - 35 + 35)*(-b**2 + 0*b**2 + 2*b**2)*(-2 + 2 - 1).\nAnswer: -90*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4291 and 117417698?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.0890976 + 4?\nAnswer: 158.0890976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 4*15\/(-10). Let y(r) be the first derivative of -3\/4*r**2 + 1 + 7\/4*r**3 - 3\/8*r**4 + f*r - 9\/20*r**5. Solve y(x) = 0.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + b - 3, -20*r + 5 = -19*r - b. Factor -9\/4 - 1\/4*o**r - 3\/2*o.\nAnswer: -(o + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5\/2 (b) -18\/11 (c) -386\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/39)\/((-1 - -3) + 0). What is the nearest to a in -1, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r + 3*r = -230. What is the closest to 14 in 0.3, -0.4, r, -1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -1 - (14 + 3). Let b be 10\/1 - (o - -19). What is the greatest common factor of 35 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**23)**(-6\/7)*((q\/(q\/(q**(-2\/3)\/q*q))*q)**(-1\/7))**(-10) assuming q is positive.\nAnswer: q**(898\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -403790 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*m + 8, -m = 2*g - 18 + 5. Calculate the remainder when 50 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*p + 11 + 47 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 16724.\nAnswer: 16724.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*c**4 + 31*c**3 + 1321*c**2 + 2*c + 2 wrt c.\nAnswer: 4056*c + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**3 - 3*q**2 + 4*q + 4. Let y(t) = t**3 - t**2 + t + 1. Suppose 0 = 5*a - 9 - 6. Suppose 2*l + 2 = -0. Calculate a*y(d) + l*u(d).\nAnswer: -2*d**3 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0 - 16\/105*r**5 - 22*r**2 + 2\/21*r**4 - 1\/42*r**3 + 0*r. What is a in f(a) = 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 12*m**2 + 6*m + 16. Let j be u(12). Suppose -2*v - v + 53 = 4*d, 3*d - 30 = v. What is the highest common divisor of d and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13123, 13120, 13115, 13108, 13099, 13088, 13075?\n\"Answer: -x**2 + 13124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 105425 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3 + 3. Let x be (-8)\/s - 3 - -3. Solve -x*n - 9 = 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5\/3 - 40*f**4\/3 + 65*f**3\/3 - 10*f**2 = 0. What is f?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/6 + 1\/(-2). Let z(h) = h**3 + 0*h + 1 + 2*h + 0*h**l - 4*h**2. What is the units digit of z(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -844271 (base 10) in base 11?\nAnswer: -52734a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-1)**2 + -1)*-2 - -1*(sqrt(325)*2 + 4)**2.\nAnswer: -2426 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = -a. What is the derivative of 2*m + 2*m + a - 14 wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r = -68*r. Let n(m) be the second derivative of 0*m**5 + r + 23\/30*m**6 - 11\/6*m**4 + m + 0*m**2 + 0*m**3. Find the third derivative of n(v) wrt v.\nAnswer: 552*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o**2 + 87*o - 6. Let n(g) = -13*g**2 + 173*g - 14. Let q(u) = -7*b(u) + 3*n(u). Factor q(t).\nAnswer: 3*t*(t - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*l**2*r**3 - 2*f**2*l - 4*f**2*r**3 + 2*f*l**2*r**3 - f*l*r + 2*f*r**3 + 4*l wrt f.\nAnswer: -10*l**2*r**3 - 4*l - 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8094 and 15.\nAnswer: 40470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-116 - (46 + -183)) + (45 - -1)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1054074*j**3*l + 8*j**2*l**2 + l**2 - 1150256 wrt j.\nAnswer: 3162222*j**2*l + 16*j*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iih when three letters picked without replacement from {i: 7, h: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = -2*i + 15*i. What is the smallest common multiple of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 11*g + 32 = 0. Let u be (-4)\/8 + (-5)\/(-2). Suppose -h + 54 = 2*m, 2*h + g = u*m - 58. Is m a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -595, -530, -431, -298, -131, 70?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyyssmymysymyfyfy. Give prob of picking 3 m and 1 y.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 687681195 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 2\/39 (c) -3\/7 (d) 0.1 (e) -0.5 (f) 4\/11919\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 322 and -27837423.\nAnswer: -27837101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + w**3 + w**4 + (-1 + 1 + w**3)*(3*w + 6*w - 2*w).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025873311 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140.3 - -131. Round p to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 - 24 = 0. Let m(u) = 2*u**2 + 10*u - 9. Let o(g) = g**2 - g. Let w(l) = -m(l) + o(l). Is w(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -425200.56?\nAnswer: -425195.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -829 + 834. Solve 0 = -3*d - m*f - 2, 0*f = d - 4*f - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adaadddodoogoodaoddp. What is prob of picking 1 g and 1 a?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-3)\/(-3)*7. Let p(d) = d**2 + 6*d + 4. Let n be p(x). Solve 3*g + 4 = 5*g, 5*s + 2*g = -n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10812.391 + -10838.391062. Let m = 26 + d. Round m to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*p + 100 = 0, 0 = p - 2*p - 5. Which is the second smallest value? (a) 5 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -49 + 39 - -34\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -291600*j**4 + 761119 wrt j?\nAnswer: -1166400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 8 + 2*m + 5*m + m**2. Does 8 divide g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/14 - 24\/(-56). Let x(u) = -17*u + 68. Let g be x(m). Solve -4*h + 7 = -2*c - c, -4*h - 5*c - 33 = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24589500 to the nearest one hundred thousand.\nAnswer: 24600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 300 and 1996264.\nAnswer: 598879200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wodoowossssss. Give prob of picking 2 o and 2 w.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254156920?\nAnswer: 2, 5, 43, 67, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 64 = 0. Let k = m - 42. Let l = k + -3. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 - 156 = -7*a. Solve -3*m - 4*g - 26 = 6, 4*m + a = -4*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)\/(u**(-2\/7)*u)*(u*u**9*u)\/u**(-5\/3) assuming u is positive.\nAnswer: u**(230\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 47. Let g(m) = -m - 8. Give 4*g(u) - s(u).\nAnswer: -6*u + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 5 - (364\/(-7))\/(6\/393)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 22106 = 5*n, 941 = -n + 4*m + 5385. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/28)\/(2\/7). Suppose 2*l = -k*w, 5*l - w - w = 21. Solve -4*a + 0 = -3*n + l, -3*a - 3*n + 3 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**2 + r - 1. Give u(3).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(6\/(-8))*((-39 - -77) + 4836)?\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103921\/33 - -9353\/3. Is -31 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8 + 8. Suppose -70 + 28 = -2*r. Solve 0 = g*t - 20, -2*p - p = 3*t - r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345.7874 millilitres to litres.\nAnswer: 0.3457874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = g. Solve 0 = -3*u - 3*l - 3, g*l + 0*l + 4 = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 9:10 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/16 and 37\/385500.\nAnswer: 1542000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -4231 + 911. Suppose s + 298 = z. Calculate the remainder when 97\/(-2)*-2 - -3 is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 >= -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*j + 3682, 2*v - 2*j + 1769 + 69 = 0. Which is bigger: v or -921?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Suppose 2*s = 3*t, -4*t - 17 = 3*s - 0*s. Let y be 8*-1*t\/(-4). Let j be 4 + (y + 5 - 2). Let q(i) = -2*i**2 - 5*i + 1. Calculate j*r(n) + q(n).\nAnswer: -2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:40 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -12, 9 in ascending order.\nAnswer: -12, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*w + 21, 3*d - 5*w - 32 - 2 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28192 = 3*d - 5075. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1357 + 1392. Let z(y) = y**2 + 3*y - 2. Let j be z(-5). Let n = p - j. Solve 0 = -4*b - n + 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 + 2632*j**4 + 111376*j**3 + 212192*j**2 = 0. Calculate j.\nAnswer: -38, -2, 0, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1748.19741 rounded to the nearest 10?\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67510*n**3 + 13499*n**3 + 13496*n**3 + 13504*n**3 + 13501*n**3 + 13505*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33910766987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 1 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1)*d*d))\/d**(4\/23)*(d\/d**(-2\/15))**(3\/7) assuming d is positive.\nAnswer: d**(251\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from ihhhiiiihhhnhhhhhih.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 2*y - 12. Is 13 a factor of b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193165 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + l - 1. Let s be j(1). Suppose -2*m + 3*c + 8 = 0, -4*m + 0*c + 2*c = -32. Let v be m*4\/8 + 7. Solve s*w + v = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23544, 46930, 70314, 93696, 117076?\n\"Answer: -f**2 + 23389*f + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 98, 13, 128, 3 in ascending order.\nAnswer: -1, 3, 5, 13, 98, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 35.4558?\nAnswer: 35.4558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 2. Suppose 3*j - d - 1 = -2*t, 0 = -3*j + 3*t + 21. Suppose 1969013 + 14030987 = -j*r - a, 0 = 2*r - 4*a + 8000000. Round r to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 28. Let b be p(13). Let i be 1\/(-2)*(-6 + b). Find the third derivative of -3*d**3 + 17*d**3 + i*d**2 - 259*d + 259*d wrt d.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((552\/224)\/(-23))\/(((-90)\/3600)\/(3\/(-5))).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*y**2 + 0*y + 0 - 2\/9*y**3.\nAnswer: -2*y**2*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/6*(-8 - -4). Let h(x) = -x**3 - 7*x**2 - 10*x - 8. Calculate h(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4dc16 (base 14) in base 12?\nAnswer: -92b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213139.\nAnswer: 213139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -2732\nAnswer: -3\/1366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 41*y - 113. Suppose -535 = 244*h + 9827 - 1090. Give o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 1\/4*x**4 - 43\/4*x**3 + 123\/4*x + 79\/4*x**2 + 0 = 0.\nAnswer: -1, 0, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + (-23)\/(-69). Suppose q = s - 2*r - 24, 0*s - 2*r = -2*s + 54. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -14 + (1 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.12. Let x = h - -4.28. Which is the smallest value? (a) 1\/3 (b) 2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u = -0*u. Suppose -5*o - 3*i + 1371 = u, -889 = -5*o + 2*i + 497. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*d + 837 = 32, -3*i - d + 500 = 0. What is the least common multiple of i and 44?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/50 and 73\/170550.\nAnswer: 170550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(4)*3)\/(sqrt(60)\/(-2*sqrt(10))).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-7)\/(35\/9192))\/(21\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-75)\/21 - (7 - 11)). List the prime factors of (-6)\/(1 - 4) + (a - -1283).\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -0.3. Let g = 11.66 - 11.86. Which is the smallest value? (a) g (b) m (c) -0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-4) - 3)*(-4)\/(-24).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 97.92742 hours?\nAnswer: 352538712000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 577.4 and -1267?\nAnswer: -731565.8","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Calculate (3\/((-27)\/6))\/((-52)\/12).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.08211432.\nAnswer: -0.16422864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 2. Let y be d\/6*18\/84. What is the nearest to y in -0.3, 1\/6, -5\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.012 + -0.012. Let d = 0.51 - 0.01. What is the nearest to -1\/4 in w, d, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 3. Suppose 32 = 4*f - 5*w, -4*w - 20 = -9*w. What is the remainder when f is divided by (10\/(-6))\/(1\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -56*j. Let l(u) be the third derivative of 0 + 0*u + 0*u**3 + 95*u**2 + 1\/30*u**5 + 0*u**4. Calculate l(o(h)).\nAnswer: 6272*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 3.36?\nAnswer: 0.1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -285*g + 1528. Determine j(7).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b - 38. Let z be n(6). Let p(l) = -l**3 - 8*l**2 + l + 8. What is p(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -15 - 16 - (5 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 + 365b?\nAnswer: 3619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.8 - 69. Sort 0.1, -3\/19, h in ascending order.\nAnswer: h, -3\/19, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 - 1.665?\nAnswer: -189.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 113*o + 689. Let g be k(62). Solve 21*m - g*m = 70 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467617 is divided by 17316.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in 5, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -3\/7 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1002*l + 25061. Calculate p(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 3 - 3 + 0*n + n + 0*n + 7*n - 3*n - 2*n + (0*n - 2*n + n)*(2 - 4 + 3) + 0*n - 3*n + 2*n - 2 - 1 - 1 + 3*n.\nAnswer: 6*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/36 - 2624\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34484131 to the power of 1\/2, to the nearest integer?\nAnswer: 5872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 0.0871.\nAnswer: 0.7839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.34 - -26. Let o = h + 0.339979. What is o rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10000*g**3\/3 - 30400*g**2\/3 - 1204*g\/3 - 4 = 0. What is g?\nAnswer: -3, -1\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-252) - 6\/21. Solve -3*p + j = -0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 284\nAnswer: -13\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/6 - (3 + -5). Let n = -19.28 + 21.1. Let g = -0.18 - n. Which is the nearest to g? (a) -1\/4 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.2 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*w - 4*r, -575 + 308 = -7*w + 7*r - 316 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -352 and 0.2?\nAnswer: -70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/380 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((3 - -1) + (-6 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a68 (base 12) to base 11.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 450 + -357. Suppose -x = 3*p + 10, 2*x - q = p - 92. Let r(b) = -b**3 - 3*b**2 - 2*b - 3. Calculate r(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -83. Which is greater: x or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d**3 + 654*d**2 - 3*d + 354328.\nAnswer: 21*d**2 + 1308*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 - (-14 + 0 + 7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-32))\/(((-77)\/(-28))\/11).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -567 + 0?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/228 and -77\/24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(132) + sqrt(132)))\/sqrt(12).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12534*0.3\nAnswer: 3760.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 5*p - 7. Let a be (-363)\/(-55) - 4\/(-10). Calculate h(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/19153 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2079 and 50\/3267.\nAnswer: 22869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 40*j + 14 - 40*j + 2*j**3 - 11 to g*j + p*j**3 + l*j**2 + v and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97687*p**3 - 331*p + 124701150?\nAnswer: -293061*p**2 - 331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 5*d**2 - d - 1. Give m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37084 + 59184. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 4)*(28 + 4 - 4 + 23)*(-3*a**4 + 5*a**4 - 3*a**4) to the form z*a**4 + o + m*a**3 + v*a**2 + w*a and give z.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/5 - 29739*p\/5 - 96478298\/5 = 0.\nAnswer: -26033, -3706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -254, -53, 502, 1405, 2650?\n\"Answer: -r**3 + 183*r**2 - 341*r - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + p - 9 - 1, z - 5*p = 28 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/40*6*3384\/(-564)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15035361 and 306.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - -4) + 3 - 3) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11) + -1 + 1)**2.\nAnswer: 2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 35. Let n = 51 + -48. Suppose -8*c = -z - n*c + k, -2*z - 2*c + 38 = 0. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-37)*c*c\/((((c\/(c**(2\/13)\/c))\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(-427\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 2, w: 1, n: 5, y: 4, h: 2}. What is prob of picking 1 w and 1 h?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3500, -7090, -10672, -14240, -17788, -21310?\nAnswer: -24800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 8:15 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vru when three letters picked without replacement from {v: 1, r: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51777602?\nAnswer: 2, 71, 163, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 30. Let m be (f\/(-12))\/((-1)\/8). Suppose 19 = -5*u + m. Let y(x) = 2*x + 4. What is y(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 32*i + 160. Let m be s(-6). Let u = -16 - -26. Solve 3*l + 12 = -f, -2 = m*f + u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**2 + 312*p - 34371 = 0.\nAnswer: -171, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1165, -1284, -1537, -1966, -2613, -3520, -4729, -6282?\nAnswer: -8221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113321 - 113461.254. Let y = 140 + c. Round y to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 6:13 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/912 and 17\/741.\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.181 plus 0.107806?\nAnswer: 0.288806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*sqrt(2178)*-2*-5)**2 + -1).\nAnswer: 5880597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -4*r - 3*k + 54, -3*r + 5*k = -184. Let o = -12 + r. Calculate the common denominator of (-3)\/(6\/o*22) and -89\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/(-3) - 2768\/24*1074\/(-4)?\nAnswer: 2, 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -629, 4, -27937.\nAnswer: -27937, -629, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4301 (base 16) to base 5\nAnswer: -1022103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v. Let f(s) = s + 2 + 2*s + v*s. Determine f(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in 0.4, 170, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*o - 505, 2*o + 3*t - 529 = -3*o. Suppose -60*y + 71*y + 33 = 0. What is the units digit of ((-6)\/13)\/y + 11840\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 3 = 4*w + 2, 2*y = 2*w + 8. Let v = -98 + 93. Sort 17, w, v in decreasing order.\nAnswer: 17, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188422547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 3*f + 33, -3*f = 4*w + 15. Let x be 2\/(-12) - (-5)\/w. Put -5, -4, x, 5 in descending order.\nAnswer: 5, x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:47 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 972\/1458 - (-12)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, -116430 in decreasing order.\nAnswer: -4, -13, -116430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6648138?\nAnswer: 2, 3, 7, 19, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201046 - -201048. Suppose 12 = 4*m + 3*z, -3*m + 2 = z - 12. Suppose -m*c - 15 = -11*c. Solve k = b*k + c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*f - 24, -29 = -2*i + 7*f - 2*f. Let z be (-6)\/2 + 3 - -4. Is (i*1)\/(z\/46) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 655613651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/((-1232)\/5)*8\/10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4068 divided by 4369\nAnswer: -4068\/4369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 30 = 4*s - 3*t, -s + 9 = -2*t. Solve -4*x + x = 4*g - s, -3*g = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122294, 244574, 366854?\nAnswer: 489134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154567, 154659, 154829, 155089, 155451, 155927, 156529, 157269?\nAnswer: 158159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3630 and 7502.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -22.9 (c) -0.027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + 19*n**2 - n + 4. Let u be k(-9). Is 95 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60841653 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*x - 4 = 0, 2*x = -9 + 17. Let m(b) = -2*b - 3. Let i(d) = d**2 - 1. Determine f*i(w) + m(w).\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 6*f + 4*f)*(-3*f**3 - 21 + 373*f**2 - 373*f**2 + f).\nAnswer: 9*f**4 - 3*f**2 + 63*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**3. Let z(o) = o + 4*o**2 + 0*o - 1 + o**3 + 2*o. Let n be z(-3). What is the units digit of p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -17*g + 4. Sort -0.02, g, -3 in descending order.\nAnswer: g, -0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 3*v = 17*o + 15, -13 = -2*o + 3*v. Solve -o*y - 6 = 2*c, -21 = 3*y - c - 32 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/13039 and -127\/3914768.\nAnswer: 66551056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 91776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5603*t**3 - 33168*t**2 + 114191364*t?\nAnswer: -33618*t - 66336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-10)*-8874 - (-136)\/(-170)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**10*y)**(1\/52) assuming y is positive.\nAnswer: y**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = 0, -l = -3*w + w + 17. Let r be 3 + 17 - (-3 + w). Suppose 12*f + 350 = r*f. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 431 and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17599252498 take away 61?\nAnswer: -61.17599252498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -12 - (-9 + (-18 - 0))) + 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 484950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-922)\/840 + 50\/375 and 59\/22?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*i**2*v**2 - 215*i**2*v - 2*i**2 - 7*v**2 wrt v?\nAnswer: 32*i**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 54811 and 54789 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 59. Let v be u(9). Let j = v + 70. Which is bigger: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49464?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42217 and 10269.\nAnswer: 379953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3800)*-2 + sqrt(3800) + sqrt(3800))\/((sqrt(20) + 2*sqrt(20))\/sqrt(10)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, -3\/4, -16366468, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5. Let f be y(0). Suppose -f*z = -4*r - r + 25, 4*r - 3*z = 18. Suppose 30 = r*a - a. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46, 111, 196, 307, 450, 631?\n\"Answer: r**3 + 4*r**2 + 46*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.115*6\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -382, 2.\nAnswer: -382, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctdytdtydyy. Give prob of picking 1 t and 1 d.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 0.02, 3337.83 in decreasing order.\nAnswer: 3337.83, 0.02, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 - 17*y\/3.\nAnswer: -y*(y + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 v, and 1 p when four letters picked without replacement from qcvpccv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -12. Let t = z + 9. Let g = -923\/2121 - -2\/303. Which is the closest to 1? (a) g (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3068.320197 - -579.11\nAnswer: -2489.210197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9209?\nAnswer: 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57113, -115043, -172973?\n\"Answer: -57930*s + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)*(3 + -56). Let z = -15 + a. What is the greatest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 246*a**2 + 10789*a - 4 - 10750*a - 21 wrt a.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 k when three letters picked without replacement from {m: 2, x: 2, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*d + 68*d - 56*d - 181*d + 3 - 2 to the form w*d + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 7*m - 7. Give k(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331.347 + 6668811.\nAnswer: 6669142.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -3622327, -3.\nAnswer: -3622327, -3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 - 4*r**2 - 4. Let d(n) = -n**3 - 1. Let w(v) = -13*v**3 - 9*v**2 - 11. Let t(a) = -2*d(a) + w(a). What is 9*i(q) - 4*t(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28261*v**3 - 14758*v**3 - 14414*v**3.\nAnswer: -911*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5928 and 1216.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 29. Let m be o(-9). Put -6, -5, m in decreasing order.\nAnswer: m, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(152) + sqrt(152) + sqrt(152) + sqrt(152)))\/sqrt(8).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 1\/3, -2\/17, 2\/17, 113\/2, 0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 - 449 + 224 + 3*g**4 - 4*g**4 - 3*g + g**2 + 230 - 43*g**3 as x*g**3 + f*g**2 + z*g**4 + w*g + p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1052 (base 6) to base 7\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = x. Suppose -3*k = x*k - 10. Solve -2*w - k*r = -0*r + 6, 5*w = 4*r - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 28 + 1 + 88)*(-70*f - 97*f + 136*f) as n + b*f and give b.\nAnswer: -2976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + 45. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 458419 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 - 40587*t + 12022434 = 0. Calculate t.\nAnswer: 303, 13226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 13*i**2 - 28*i + 13. Let v be s(-16). Which is smaller: -306 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtjt when four letters picked without replacement from {t: 2, p: 1, j: 4, k: 3, y: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -89*v - 3160 - 15*v + 3192 + 44*v**2.\nAnswer: 4*(v - 2)*(11*v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m - 389 = -1313 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-2 - 3) + 2). Suppose u - 2*u = -p. Suppose -5*c = l - 15 - u, -3*l = c - 74. Calculate the greatest common divisor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58063*r**5 - 121681*r wrt r.\nAnswer: -1161260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/(sqrt(18)\/sqrt(2)))\/(sqrt(33)\/(sqrt(11)*1)))\/((sqrt(1280)*2)\/(sqrt(16)\/(1*sqrt(4)))).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23907112 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -66 * -0.01\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + 4. Calculate the highest common factor of 60 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41845620 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163333.\nAnswer: 233, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9376500 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20168 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -36. Let a be (40\/32)\/(l\/8). Suppose -2*m - 1658 = -4*i, a*i - m - 1244 = 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from ucqaczqkk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*h + 4*i, 10 + 0 = 2*h + 2*i. Let q(r) = 0 + 4*r + h + 0. Let t(d) = -d - 10. Let l be t(-9). Determine q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 155.9\nAnswer: -93.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1851792?\nAnswer: 2, 3, 173, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 8 = -2*l, -3*l - 27 = 3*i - 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55850 + 7106 - 13128 = -1582*r - 30854 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5\/h**(2\/7))\/((h**(2\/3)\/h)\/(h*(((h\/(h**(-3\/4)*h*h)*h)\/h)\/h)\/h)))\/((h**(-1))**(-5\/7))**10 assuming h is positive.\nAnswer: h**(-281\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, p: 2, n: 2}. Give prob of picking 2 n and 2 p.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0427479 years to months.\nAnswer: 0.5129748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18247 + 18256. Solve w - g = 5*w - u, -w + g + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040879075 rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2 + m + 1. Suppose -1679*g + 45 = -1694*g. Let u(p) = -5*p**2 + 2*p + 1. Give g*u(x) + 4*y(x).\nAnswer: -x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00081084 to six decimal places.\nAnswer: 0.000811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23455259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (105\/(-14))\/((-100)\/520). Solve t = 33*i - 27 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m**3 - m - 26. Let t(a) = -9*a**3 - a - 25. Calculate 6*s(w) - 7*t(w).\nAnswer: 3*w**3 + w + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or -374?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 3*b**5\/5 - 15*b**4\/8 - b**3\/2 + 196*b + 18. Let s(n) be the first derivative of v(n). Find f such that s(f) = 0.\nAnswer: -1\/8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (34\/(-24))\/(5525\/(-11475)))\/((-6)\/4).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -958.3 - -958. What is the biggest value in 2.9, -0.2, d, -2?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5851241.986 to the nearest one hundred.\nAnswer: 5851200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 96 = 71. Solve 0 = 4*a, -2*t + v*a - 3 = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u - 3*s + 291 = 0, 2*u + 4*s - 194 = 0. Differentiate -66*y + 106 + u - 170 with respect to y.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:21 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2752.\nAnswer: -550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2.8 (b) -2\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + 615\/45. Let n = o + -9. Suppose 0 = n*l - 25 + 1. Solve 4*x + 2 - l = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-2 + -1)) + 3 + (3 - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjjjjjjjjjiji. What is prob of picking 2 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + 6 - (4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -6, 3\/2, 369, 4\/7, -0.2, -203, -2?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 3. Let x(m) = m + 13. Let t be x(-10). Let u be n(t). Let v be (3 + (-39)\/u)*-3. Solve -v*k - k = 2*l - 17, 2*l + 4 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 23. Let m be w(19). Solve 0*s + 4*s = m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -284*c**2 - 409113 + 409113 + 3*c to b*c**2 + a + r*c and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 + 6*i + 7. Let m be t(-5). Suppose 0 = -5*x + 5*g - m - 3, 2*x = -g + 1. Which is the closest to x? (a) 2\/9 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*d = -4 - 16, 5*s = -3*d + 14. Suppose 0 = 4*l + l + s*q, -5*q = 3*l. Suppose 2*r - 1 - 1 = l. What is the third biggest value in -1\/9, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -647936*b**2 + 689069 wrt b?\nAnswer: -1295872*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15)\/(-1) + (-57)\/(-60).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16882.221ns in minutes?\nAnswer: 0.00000028137035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q - 63. Calculate the lowest common multiple of s(-7) and 62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 - (-28)\/8. Suppose 0 = 2*u - u - r. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5816, 5842, 5884, 5942?\n\"Answer: 8*x**2 + 2*x + 5806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -909.5, 61, 0.093?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, d: 4, j: 3, k: 4}. What is prob of sequence jyd?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1486 = -5*x - 0*i, i = 4*x - 1189. Let g = -115 + x. What are the prime factors of g?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 47*v**2 + 63*v - 32. What is the tens digit of o(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 1419.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t**3 + 14*t**3 - 12*t**3 + (2 - 2 + 2*t**2)*(-3*t - t - t) in the form j*t**3 + y*t + x + m*t**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**5 + 266*w**3 + 6*w - 7.\nAnswer: -40*w**3 + 1596*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 15, 13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9569440.\nAnswer: 2, 5, 59809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a microsecond in nanoseconds?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Suppose -5*h = 4*r, -p*h - 2*h = 2*r. Let u(s) = s**2 + 4. Let q be u(r). Solve -q = -4*m + 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 9:23 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1019 + -36689\/36. Let r = -6461173\/547 + 11812. Let h = -61721\/5470 + r. What is the common denominator of w and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*w = -16051 + 2227 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -1\/3*y**3 + 0*y**2 - 2 - 3*y. Let i(q) = -77*q. Determine s(i(r)).\nAnswer: 154*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:27 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4027*o - 4316*o - 6560*o - 387*o.\nAnswer: -7236*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 12887552 and 2\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**29)**(-9\/8)\/(((y*y**(-24\/11))\/y*y)\/y*y\/(y\/y**(-2\/11))))**(-24) assuming y is positive.\nAnswer: y**(8286\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let o(f) = -f. Let j(m) = m. Let v be -3 - (4 + -2 - 15). Let l = v + -5. Let n(y) = l*j(y) + 3*o(y). Calculate n(u(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -26. Let a = c - -3. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggozzzgzozzozgzz. Give prob of sequence zz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/134 - 8827\/1340. Let g be 144\/(-30) - (2 - 1). Let m = g - y. Is m bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29373683 and 0.01?\nAnswer: 293736.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 197, 214, 247, 302, 385, 502, 659, 862?\n\"Answer: z**3 + 2*z**2 + 4*z + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85697.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t = 11*t - 108 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 7:45 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 6, 4, 1, 2 in decreasing order.\nAnswer: 17, 6, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 199 (b) 0.2 (c) -2\/3 (d) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292707379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 26*u**2 - 9*u**4 + 10*u**4 - 12*u**3 - 24*u - 3*u**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2446 = 2*v, 5*t = -12*v + 8*v + 4892. List the prime factors of v.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -4. Suppose -5*i + p + 8 = 0, 0 = -4*i + p - 0 + 6. Let v(y) = 4*y + i - 2 + 2 - 3. Determine v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/5 - 6\/(-10). Suppose 0*y = 2*y - 2*g - 86, l = -3*g + 12. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/140 - n**4\/56 - 6*n**3\/7 + 1224*n**2. Factor f(m).\nAnswer: 3*(m - 4)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10587066257\/4048 + -2615382. Find the common denominator of -26\/9 and z.\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.527 and -6628.4.\nAnswer: -3493.1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 140010 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15043545 (base 6) to base 4.\nAnswer: 1332301121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1\/(-2))*(-36 - -28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50\/191 + 823\/955. What is the second biggest value in -1\/2, h, 60\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4\/5 + 12*l**3\/5 - 84*l**2\/5 + 96*l\/5 = 0. What is l?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.934188ng?\nAnswer: 0.002934188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458545.\nAnswer: 5, 293, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14603, -29202, -43799, -58394, -72987?\n\"Answer: w**2 - 14602*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-126)\/(-49)*(-4116)\/(-18).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/3)\/((-295)\/(-59))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwwwwwwwwwwtww?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -146*(2 - (-6)\/(-4)). Suppose 924 = 2*n + 2*n + 3*h, 5*h = -20. Let p = d + n. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*m + 24, m + n + 4*n = -16. Suppose 3*g - 6 + 5 = m*d, -14 = 2*g + d. Let i = 14 + g. Is 6 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b - 16. Let u(v) = -84*v - 79. Calculate n(u(i)).\nAnswer: -672*i - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1100)*-4 + sqrt(1100) + -2*sqrt(1100) + -5 + (0 + sqrt(1100) + sqrt(1100) + -2 + (sqrt(1100) - (sqrt(1100) + -1 + sqrt(1100))))*-2)**2.\nAnswer: 900*sqrt(11) + 247509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 512068615 a multiple of 2105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 14 + 1)*(-17*y**3 + 3*y**3 + 7*y**3) + y**2 + 2*y**3 - y**2 to the form t + x*y**2 + f*y**3 + o*y and give f.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6696*b**3 + 2*b**2 - b*x**2 - 3*b*x - 40378*x**2 wrt b.\nAnswer: 20088*b**2 + 4*b - x**2 - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let r(f) = 1. Let d(o) = o - 4. Suppose l = -3*l + 12. Suppose -h + l = s - 3, -h = 5*s - 14. Let x(j) = h*r(j) + d(j). Determine t(x(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 202\/(-108) - (2 + -2) and ((-2)\/(-8))\/((-315)\/(-2072))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15232156, -15232161, -15232170, -15232183?\n\"Answer: -2*j**2 + j - 15232155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22216*d - 23001*d + 7321*d - 7337*d - 9214*d.\nAnswer: -54447*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/(-50)*5*2\/(-732). Is -1 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*m + 13103*i**3 - 59870*m with respect to i.\nAnswer: 3*i**2*m + 39309*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61386038281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 10*f + 7. What is y(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) - (-44)\/20. Let h(u) = -u - 4. Let t be h(-9). Solve t*b + y = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 267724932*r**2 - 36014989 wrt r?\nAnswer: 535449864*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 221099.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 139, 269, 399, 529?\n\"Answer: 130*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 13. Let f be m(-6). Solve -3*a - o = f, -3*a + 3*o - o + 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 350084*a**3 + 2*a**2 - 2*a + 1. Let b be r(1). Suppose 429915 + b = 2*j. Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/2, 8, -16191?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1132 = -2*p + 5*u, 5*p - 5*u = 1961 + 914. Calculate the remainder when 1175 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36708166082.71 and 4?\nAnswer: 36708166078.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.1 - -24. Suppose 2*k + p = -3*k + 5, 0 = 2*k - p - 9. What is the nearest to g in k, -1\/3, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 6.\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 62.7*1514\nAnswer: 94927.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 97*n**4 + 11*n**3 - 51*n**4 - 24*n**4 - 24*n**4 + 2*n - 4*n**2 in the form r*n**3 + q*n**2 + v*n + u*n**4 + c and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5. Suppose -12 = -4*k - b. Suppose -5*v = 5*w - 15, 55 = 5*w - k*v - 0*v. Calculate the highest common divisor of w and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-14))**(1\/3)\/(i**(-1)\/((i\/i**(2\/11))\/i)))**(2\/31) assuming i is positive.\nAnswer: i**(-232\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f**3 - 6*f - 5. Let v(k) = -27*k**3 - 13*k - 10. Let o(y) = -13*a(y) + 6*v(y). Differentiate o(p) with respect to p.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209877*-325\nAnswer: 68210025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.530182 rounded to 1 decimal place?\nAnswer: 41.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2 - 338*y + 336 = 0?\nAnswer: 1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 29*m - 25*m + 4*j, m - 9 = 4*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*208\/(-78)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -969.25+-2689\nAnswer: -3658.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -5\/6 (c) -3\/8 (d) -0.1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 0.023, 2, 0.5, -0.1435, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 1. Let v be q(-2). Suppose a + a - 6 = 0. Let t be (a + -2)*1*1. Put t, 0, v in descending order.\nAnswer: t, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = -3*t - 3, -5*t - 4*n + 8 = 0. Let j(w) be the first derivative of -1\/2*w**2 - 4*w - 16. What is j(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/1071 + (-25597)\/(-9009)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(243) + (sqrt(243) + 0)*4 + sqrt(243) + 0 + 0) + (sqrt(243) - (sqrt(243) - 2*sqrt(243)*6) - (1*sqrt(243) + 4))*1)**2.\nAnswer: -2520*sqrt(3) + 297691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7050000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, -9, -281, -623, -1059, -1613?\nAnswer: -2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28085 and 10783?\nAnswer: 7386355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*c - 20, -23 + 8 = v - 3*c. Does 16 divide 2 - ((1 - v) + -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (4 - 7 - -3) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 646 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7331 and 0.17?\nAnswer: 7330.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i - 90 = -23*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921432?\nAnswer: 2, 3, 38393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/14)\/((-3)\/(-126)). Suppose 0 - 14 = 2*y - 2*u, -y - 32 = 4*u. Let w = y - -12. Solve w = -5*m + m + b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.855 - -22.055. Which is bigger: -1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.81778 + 0.77878. Let f = 23.678 + n. Let z = -13.5 - f. Round z to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/4 + 3\/2. Solve -3*x - 6 = v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17459*q**2 - 13214*q wrt q.\nAnswer: 34918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -64*f - 152. Give t(-15).\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*d - 0*d. Let o(w) = -w**3 + 8*w**2 + 3. Let m be o(d). Let t(z) = z + 2. Give t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21\/100 - -1\/25. Let c be 0 - 0 - (-1 + -2). What is the nearest to 0.1 in k, c, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m - 25*m**3 - 37*m**3 + 27*m.\nAnswer: -62*m**3 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 2. Let r(s) be the first derivative of s**3\/3 - 7*s**2 + 15*s + 9. Let a be r(13). Let h(j) = 2*j + 1. Determine a*i(c) - 3*h(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226223227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 278 + -268. What is the highest common factor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*z**2 + 144 + 296 - 50 + 4*z**2 - 269*z**3 wrt z?\nAnswer: -807*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (226 + 1\/1)\/(4 - (-1 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -334? (a) 23 (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1731 - -1742. Let h(l) be the first derivative of o + 4\/7*l + 4\/35*l**5 + 8\/7*l**2 + 8\/7*l**3 + 4\/7*l**4. Find m, given that h(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*l + 15*l - 9*l**2 + 13*l)*(-9 + 1 - 11)*(-2*l + l - 2*l).\nAnswer: -513*l**3 + 228*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z. Suppose 4*m = 2*n + 14, -2*n + 7 + 33 = 5*m. Let t be 0 + 0\/(-5) - -3. Let l(h) = m*h - t*h - h. Calculate i(l(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -23*j**2 - 4*j - 4. Let z(w) = -231*w**2 - 42*w - 42. Let a(q) = -21*k(q) + 2*z(q). Let r(u) = 4*u**2. What is r(a(x))?\nAnswer: 1764*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5860 is divided by 1952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 5*b**2 + b - 6. Let u be f(4). Let l = -4 + -1. Let d = l - u. What is the greatest common factor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1147582*c**3 + 398709 wrt c.\nAnswer: 3442746*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4 + 2*l**3 - 1222*l**2 - l - 242 wrt l?\nAnswer: -12*l**2 + 12*l - 2444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (221\/(-2))\/((-4)\/(-24)). Which is smaller: -661 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1421 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -865 (base 11) to base 13\nAnswer: -61c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*f + 5 - 309. Let d(a) be the second derivative of 1\/2*a**3 + 0 + f*a + 0*a**2. Let m(v) = 2*v. What is d(m(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 9:47 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3473 != -3473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1630 = 2*l. Round l to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2793, 11263, 25409, 45231, 70729, 101903, 138753?\nAnswer: 181279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 3. Let u(f) = -2*f + 4. Let m(s) = -4*i(s) - 3*u(s). Let n(l) = 0 - 3*l**2 + 0. What is m(n(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 22. Solve 4*o = -4*t + 21 - 1, -2*o + 4*t - v = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 5, -3\/4, 6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-6) - 5*(-1)\/(-10). Are 27\/14 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2349 and 46251.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86558, -353647, -798794, -1421999, -2223262?\nAnswer: -3202583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -154*i**2. Let j(l) = 6*l**2 + 29*l. Determine j(y(n)).\nAnswer: 142296*n**4 - 4466*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -119*w + 8 + 15 - 17. What are the prime factors of a(-4)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.017 and 1192331.7177?\nAnswer: 1192331.7007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 10. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2592 * 0.4\nAnswer: -1036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 11, -26, -115, -274, -521?\n\"Answer: -3*o**3 + o**2 + 15*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfeqqyellfqylyq. Give prob of picking 1 y and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11533 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -180824*h**4 - 64628 with respect to h.\nAnswer: -723296*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -437, -434, -431, -428, -425?\n\"Answer: 3*f - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 7\/24*c**4 + 4*c**2 + 1\/3*c**3 + 1\/10*c**5 + 0 + 0*c - 1\/120*c**6. Give n(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -52 (c) -0.5 (d) 3 (e) 3\/8 (f) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 + 7 = 0. Suppose p*q = 6*q. Let h(c) = -c + 39. Does 13 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**2 + o - 1. Let w be n(1). Let t = 22 + w. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -5\/24*k**4 + 0 + 0*k**3 + 0*k - 7*k**2. Let u(a) = -7*a. Give s(u(p)).\nAnswer: 35*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 2*s - 4*x + 208, 3*s - x - 136 = 0. Suppose -5*z = -5*w - 168 + 13, 5*z - 140 = 2*w. Calculate the remainder when s is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010000 - 11?\nAnswer: -1111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*u = 13, -3*s - 4*u + 18 + 7 = 0. Let d = 5 - -1. Let h be 3 - d\/(-3) - s. Is h <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.406390907 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 0*f + 5*f**4 - 4*f**4 + f**4 + 4*f**4 + (2 - 2 - f)*(0*f**3 + 3*f**3 - 5*f**3))*(25 - 6 + 32) as g*f + k*f**4 + u*f**3 + z*f**2 + t and give k.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36350451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 43, 6, 5, 0 in descending order.\nAnswer: 43, 6, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 5*j**2 - 5*j - 8. Let d(h) = 9*h**3 + 1. Let b(r) = -r**2 + 3*r + 5. Let n be b(4). Let a be d(n). Suppose -6*g + a = -26. Determine p(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 - 0.06. Let p = -15.654096 - -15.9541. Let b = p + m. What is b rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 6*l**2 - 6*l + 21. Let d(c) = -3*c**3 + 17*c**2 + 17*c - 62. What is -6*d(s) - 17*k(s)?\nAnswer: s**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-81))\/((-4)\/(-3)). Let k = -7\/18 - j. Suppose -37*c = 2 - 2. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1155 - 3*l**2 + 354 + 442 + 5*l**2 + 359.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 - 5*v**2 + 3*v - 2*v**3 + 3*v**3 - 2*v**3 + 3*v**4 to the form s*v**3 + f*v**4 + q*v**2 + j*v + p and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186 - -4. Let z = h + 181.913. Round z to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4576\/110)\/(-3*(-8)\/300) is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.09 or 707\/4?\nAnswer: 707\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1516533 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/17 + 3766358*l\/17 - 22598220\/17.\nAnswer: 2*(l - 6)*(l + 1883185)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 - -158. Let x = -1 + -5. Let p = x - m. What is the nearest to -2\/3 in -4, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 - -3) + (-7 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 25 + s**2 - 20*s - 2*s**2 - 1. Calculate the lowest common multiple of 14 and b(24).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 2.4. Let u = -26.1 - y. Let x = 331\/60 - 28\/5. Sort x, u, 0.5.\nAnswer: u, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*z + 68, -7*z - 4*n = -4*z - 28. What is the smallest common multiple of z and 11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Suppose 3*o - y = 2*o, 0 = z + o - 7. Solve z*i + 4 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than 305?\nAnswer: 305.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*y + 28 = 0, 0 = -3*v + y - 16 - 0. Let j be 1 - (v - -2 - 3). Solve -2 - j = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6 - 6*l + 0 to n*l + w and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oood when four letters picked without replacement from {d: 7, z: 4, o: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 198\/(-176) - (-6)\/4. What is the smallest value in -0.1, -0.4, 2\/9, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.677325 millennia to decades.\nAnswer: 967.7325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -n + 20, 5*n - 36*g = -34*g + 35. Solve -5*p = 0, -129 = c - n*p - 127 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a - 37. Let h be m(6). Suppose 2*i + 16 - 6 = 2*d, -5*i - 2*d = h. Is -1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.5415 and 24.728.\nAnswer: 21.1865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 8*g)*(0 + 0 + 1 + 2 + 2 - 1 + (2 - 2 + 2)*(-4 + 2 + 4) + 0 + 1 + 1).\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 76091200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 14 = 4*v - 5*n, 3*v = 2*n + 17. Suppose 3*c + c - 6 = 2*f, c = 5*f - 12. Is (18*v)\/c - -2 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:26 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24433299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 355919, 711817, 1067689, 1423523, 1779307, 2135029, 2490677?\n\"Answer: -2*a**3 - a**2 + 355915*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149133.\nAnswer: 3, 49711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 356 = -5*u, 5*u = -0*u - 3*a + 357. Suppose -u = -6*t + 3*t. Suppose i = -0*i + t. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 7*w**2 + 9*w + 7. What is x(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*x**5 + 2*x**3 + 7473*x**2 + 267642906*x wrt x.\nAnswer: 160*x**3 + 12*x + 14946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 18*r + 6329. Give p(71).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37600)\/(-2256)*(-6)\/(-50).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkzz when four letters picked without replacement from zzzzzzkzbkzzbbkzzz?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506695049?\nAnswer: 7, 157, 461051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 623840*l**3 - 183*l + 182. Is n(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002345939772 to six decimal places.\nAnswer: -0.002346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(13)*-6.\nAnswer: -12*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 2\/13, 2, -2, -19 in increasing order.\nAnswer: -32, -19, -2, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2607, -2477, -2343, -2205, -2063, -1917, -1767?\n\"Answer: 2*v**2 + 124*v - 2733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:46 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 1, u: 1, i: 2, f: 2, x: 1}. Give prob of sequence bfxk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5967047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5215652 by 52.\nAnswer: -100301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(704)*6 + sqrt(704))*5)\/(sqrt(196) - ((sqrt(196)*6 + sqrt(196) - sqrt(196)) + sqrt(196))*-1) + 1.\nAnswer: 1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammiggg. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88048, 176092, 264136?\nAnswer: 352180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 3 - -9) + -1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000046 to 7 decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-136)\/36 - 2\/9. Let k be 16\/24 + l\/(-3). Suppose k*g + 15 - 65 = 0. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.417 and -482?\nAnswer: 4538.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 2.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*s - 968 = 0, 26*s - 28*s = -j - 326. Which is smaller: -315 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose -b = -g - 5*s + 11, -2*g = s - 8. Solve 2*v = 0, g*v = t + 2*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 5*i**2 + 2*i - 3. Let f(g) = 4*g**3 + 10*g**2 - 3*g + 5. What is -3*f(d) - 5*o(d)?\nAnswer: -2*d**3 - 5*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.7 (b) 0.0124 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7628 is divided by 300.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -10*c**3 - 2. Let y(u) = 1158*u**3 - 5 - 2334*u**3 + 1157*u**3. Determine -5*v(b) + 2*y(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/76, 0.05, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6283432*d**2*u - 68542*d**2 - d wrt u?\nAnswer: 6283432*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-4)*(5 + (-12)\/4). Let o be 3\/18 - (2860\/24)\/s. Let m be (-2)\/8 - (-2 + 42\/o). Solve m*t + 3*t - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2. Let x(w) = 268 - 136 - 132 + 7*w - 46*w. Determine x(k(v)).\nAnswer: -117*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/2 + q. Let m(c) = -4*c. What is d(m(b))?\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10415152 - -404?\nAnswer: -10414344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -8343 (b) 1\/5 (c) 260 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 11 = -2*y - 2*w, -4*y + 5*w = -21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 647303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20218642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 0.2, 10.33169, 3\/2 in ascending order.\nAnswer: -4, 0.2, 0.5, 3\/2, 10.33169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2. Let k(h) = 3054*h + 816. Determine k(w(j)).\nAnswer: 9162*j**2 + 816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2781585 plus -749?\nAnswer: -2782334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760793853 to the power of 1\/2, to the nearest integer?\nAnswer: 41962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -297*j*n*u**2 - 25*j*n*u - j*u**2 + j - 1350*u**2 + 2 wrt n.\nAnswer: -297*j*u**2 - 25*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(6)\/sqrt(2) + -1).\nAnswer: -2*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.062 and 2.2?\nAnswer: 0.1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -323112 (base 4) in base 2?\nAnswer: -111011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 75 = -4*h + 51, -4*g - 8 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 69 - 72, 2*k = -18*w - 46 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 6*x + 176. Suppose -x = a - 12*a. Solve -5*z = -2*u + 6, -2*u - 3*z = a + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 9. Let t = 35 + -41. Let l(x) = 6*x + 33. Let w be l(t). Are k and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 347*g**3\/3 - 436*g**2\/3.\nAnswer: g**2*(347*g - 436)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -18, -41, -84, -153, -254, -393, -576?\n\"Answer: -w**3 - w**2 + w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4 - (-19)\/2. Let b be (-2)\/u - 9\/(-12). What is the second biggest value in 5\/4, b, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.34 minus 1697.97?\nAnswer: -1764.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8987433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = 5*c - 969. Let y be c\/(-9) - 4\/12. What is the remainder when (-1564)\/y + 14\/49 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11523 - -16650?\nAnswer: 5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -77. Suppose 5*u + 10 = 0, -5*j - 5*u + 17 - 7 = 0. Solve -5*a + 5 = -3*p, -w*a + 4 = 2*p - j*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 5*c)*(4 + 5 - 4) - c + 0*c + 2*c + 3*c + 2*c - 7*c + (-2*c + 4 - 4)*(2 - 3 - 1).\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**5 + 3*s**4 + 3*s**3 + s + 1. Let l(x) = -x**2 + 0*x + x - x**5 + 2*x**5 + 1. Let n(g) = -2*l(g) + 2*o(g). Determine a, given that n(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264215 (base 8) to base 16.\nAnswer: 1688d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 - 4*m**3 - 2*m**3 - 2*m**2 + 2*m**2 + 3*m**3 + (-2*m**2 - m + m)*(-10*m - 51*m - 14*m).\nAnswer: 151*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 5:41 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, 949, -0.7, -0.4, 4\/5, 0.3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15284*f - 5115*f - 5075*f - 5115*f.\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*y = -130*y + 48. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, 128, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740291 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-20)\/8*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111111110 (base 2) to base 9.\nAnswer: -4181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64383 + -34943. What is the greatest common divisor of 80 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3423839 to the power of 1\/2, to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*l**4*x**2 + l**4*x - 13*l**3*x - 21*l**2 + 6*l*x**2 wrt l.\nAnswer: 240*l*x**2 + 24*l*x - 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (4 + -4*(-4 + sqrt(931) + -1 - (sqrt(931) + -2)*-4))**2).\nAnswer: -1877705 + 78400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 - 134. Suppose -3*j - 2*n = -h, -2*n - 2 = -0. What is the highest common factor of 108 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 0 = 3*r + 2, -2*c + 10 = r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v - 43*v**2 + 50*v**2 - 10*v - 13*v**3 in the form g*v**2 + m + k*v**3 + f*v and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66792 - 66792. Let -3\/2*d**2 + m*d - 5\/2*d**4 - 7\/2*d**3 + 0 - 1\/2*d**5 = 0. Calculate d.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**3 - 3*w**2 + 29. Let k(c) = -4*c**2 - 10 + 4*c**2 - 3*c**3 + c**2. Let l(r) = 4*j(r) + 11*k(r). What is l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6955 - -6960. Solve -c*m + 11 = -n - 4, 33 = -5*n + 4*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215.98 rounded to zero decimal places?\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 10 = -4*f, 1 = -5*f + 4*f - 2*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(-1827*b - 18*b**3 + 1827*b) in the form k*b + s*b**3 + u*b**2 + g and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*h = -187, -5*n = -h - 127 - 332. Solve -s - 90 + n = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8546.741 decades?\nAnswer: 854.6741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (222 + -222)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -128*p - 683. What is d(-6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let h = -9 - -5.8. Let a = 0.2 + h. Sort l, a, -2 in decreasing order.\nAnswer: l, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -519*c*w**2 - 3*c*w - 36423*c - 2*w**2 - 2*w with respect to w.\nAnswer: -1038*c*w - 3*c - 4*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557434855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 3068?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1\/6)\/t*t)\/t**(3\/2))\/(t**6\/(t**(-4)*t))*(t*(t**(-7\/5)\/t*t)\/t*(((t*(t*(t\/t**(-9)*t)\/t)\/t)\/t)\/t*t)\/t*t)**(1\/11) assuming t is positive.\nAnswer: t**(-1301\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4037241 and 2.\nAnswer: 8074482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 7*b - 4. Let w = -13 - -16. Suppose -17 = -q + r, -2*q + 0*r = w*r - 19. What is the remainder when g(-6) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, d: 6, y: 3, a: 1, n: 1}. Give prob of sequence ndyy.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 33 (c) 1 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 226*o**2 + 2*o + 1. Let g be d(-1). Suppose 0 = 4*v - v - g. Let w be 5*((-81)\/v + 1). Which is the closest to -2? (a) w (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4918688 by 307418.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 3*y**3 + 92*y + 82*y - 182*y in the form v*y + b*y**3 + a*y**2 + f and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (65\/(-10))\/((-2)\/4). Suppose -5 = -u*b + 73. Solve -14 = 4*g + b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.42593\nAnswer: -0.127779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111021011111 + 1?\nAnswer: -111021011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-15)\/12 - -4. Let b(x) be the first derivative of 0*x**3 - h*x**4 + 7*x + 0*x**2 + 7. What is the first derivative of b(o) wrt o?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, -1.4, 0.5, -0.2, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(252)\/(sqrt(9)*-1))\/((sqrt(72)\/sqrt(2))\/sqrt(9)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-265*s**3 + 389*s**3 - 408*s**3)*(8*s - 4*s + 2*s) to x*s**2 + c*s + b + a*s**3 + i*s**4 and give i.\nAnswer: -1704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*o = -13, 3*x + 0 = -4*o + 10. Let w be (1\/x)\/(1 + -2). Let n = -11 + 10.7. What is the biggest value in -6, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*m + 1139*m - 8580 + 69630 = 0 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -3877960?\nAnswer: -1\/3877960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93955126*g**2 - 9262187 wrt g.\nAnswer: -187910252*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -3.3 (c) 0.1 (d) -0.12 (e) -10 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -0.0245?\nAnswer: -0.2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 14*g**4\/3 - 970582*g**3\/3 + 11922508*g**2\/3 - 22735400*g\/3 + 1848400 = 0.\nAnswer: 2\/7, 2, 10, 69315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 71*a + 2295 = -106*a for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/8 + 11\/(-2). Let m = 35 - 34.9. What is the closest to m in v, -1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 17*j + 3. Let s be w(-14). Let f = s + -16. Is f greater than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e0cd - -10?\nAnswer: -1e0bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 15*s + 14 + 0*s**2 - 1\/6*s**3. Let d(n) be the first derivative of r(n). Let x(a) = 25*a**2. Determine d(x(y)).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is (-47 + 31 + (-330)\/(-20) + -3)\/((-35)\/2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*a + 2*r - 1, 0 = -5*a + 3*r + 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/((-465)\/(-60)) + -1 + 25.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 4 (c) 1\/21 (d) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.037 in 0.4, 0.1, 1\/165?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 4*i - i**2 - 4*i**2 + 6*i**2 - 3*i**2 + (2*i - i + 0*i)*(-i - i + i) - 38*i**2 + 62*i - 2 - 62*i in the form q*i**2 + b*i + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 18 + v - 7*v + 0.\nAnswer: -6*v + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.4, -2, 447, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:11 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - j - 6. Let r(z) = -531*z**3 - 1593*z - 9558. What is 1593*g(v) - r(v)?\nAnswer: -1062*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 54*l + 24*l - 9*l - 1298 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720153561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 1:23 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 + 4. Suppose z - 7 = -0*z. Let x(w) be the first derivative of 5*w**4\/4 + 5*w - 792. Determine z*k(v) - 6*x(v).\nAnswer: -2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20158, 40310, 60462, 80614, 100766?\n\"Answer: 20152*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-2) + 7\/(14\/(-8)). Let k(s) = s**2 - 25*s - 50. Let i be k(v). Let c = i + 44. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 879 or 878?\nAnswer: 879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -4. Let y = 142 - w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216821539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 28780?\nAnswer: 28768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424034.73s to weeks.\nAnswer: 0.701115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, 8, 104, 306, 650, 1172, 1908?\n\"Answer: 6*y**3 - y**2 - 13*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674854.\nAnswer: 2, 337427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4860) - 2*sqrt(8640))*-4)\/(-2*(sqrt(96)\/sqrt(200) + (sqrt(432) + sqrt(432)*-1 - sqrt(12)))).\nAnswer: 75*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l - 72. What is the least common multiple of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2083345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 12*u - 561. Sort u, 0, -5.\nAnswer: -5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-20)*f**0 assuming f is positive.\nAnswer: f**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, -934, -17, 8 in ascending order.\nAnswer: -934, -17, -5, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:58 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2195694 and 22338.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 16 (c) 0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minus 5?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2. Let i(z) be the third derivative of 5*z**4\/6 + z**3\/2 - 4*z**2 - 110*z. Give g(i(v)).\nAnswer: -800*v**2 - 240*v - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-22))\/(3\/(-6)). Which is the nearest to u? (a) 3 (b) 2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022709069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 25\/15)\/((-2)\/21). Suppose -50581 - 17970 = -f*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + (-10)\/30. Is -2 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 540 = -7*o. Suppose 3 = -3*t + 15, 4*w + 3*t = o. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 41451 - 41435 = 0 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1452 and -7257\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/15)*b\/(b**17*b))\/(b*b*b**3)**(3\/5) assuming b is positive.\nAnswer: b**(-287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-1)\/6712)*(-2229)\/1486.\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 228 + 49 = 0. Let r = 471 - y. Let s = r + -148. Calculate the highest common factor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 - 1.2. What is the biggest value in 0.1, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(214\/1070*25\/3)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*a**2*y**2 - 1758107*a**2 - 2*a*y**2 - 199*a*y + 16337*a + y**2 + 3*y - 1 wrt a.\nAnswer: -66*y**2 - 3516214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:53 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 122*u**2 + 84*u - 128. What is w(2)?\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1023652852 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, 0.3, 0.0633?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {f: 3, w: 1, r: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**5)\/a)\/a**(-1)*(a**(-1)*a)**18)**(-2\/27) assuming a is positive.\nAnswer: a**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110410 (base 6) to base 15.\nAnswer: 2aec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-251037\nAnswer: 200829.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12 - -1 - (2 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -67*c**3 + 28*c**2. Let k(s) = 67*s**3 - 29*s**2. Let f(b) = 3*d(b) + 4*k(b). What is the third derivative of f(l) wrt l?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.028 - 14. Let u = 1.548 - w. What is u rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/(-945) - (-27)\/35.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.062 + -39.938. Let i = f - -60. Let b = i - 20.5. Put b, 2\/7, -3 in ascending order.\nAnswer: -3, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -722 - -2119. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000854315727 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153) + -5*1*sqrt(153) + sqrt(153) + sqrt(153) + -6*sqrt(153)*2)\/(1*(1*sqrt(324) + sqrt(324))).\nAnswer: -7*sqrt(17)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/4592129?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -5*s + 75. Solve 0 = -s*g - 16 - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12595 and 494?\nAnswer: 6221930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 200 - 88. Let p be (14\/(-4) + 0)*-4. Calculate the highest common divisor of p and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 24*v**3 - 5*v**2 + 3*v**4 + 4*v**2 + 15*v**3 + 10*v**3 - 3 in the form b*v**3 + p*v + d*v**4 + o*v**2 + y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 126 - (0 - -3) - 1*-1. Suppose -46 - h = -2*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 - 8*a - 6*a**5 - 3*a wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087515 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(4374))\/sqrt(2))\/(sqrt(18)\/sqrt(32) + (sqrt(9) - sqrt(18)\/(sqrt(2) - sqrt(32)))))**2.\nAnswer: 34992\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 12:17 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - -28198079?\nAnswer: 28198120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40806 - -40806. Suppose 0 = 5*u - k - 15, -3*k = 3*u + 13 - 4. What is the smallest value in g, -3\/5, u, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 4*p + 12. Let o be i(6). Let k be ((-24)\/(-84))\/((-5)\/70). Put k, o, -110 in decreasing order.\nAnswer: o, k, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:10 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -8. Suppose 3*n = 6*n - 5*u - 10, -4 = -4*u. Put -4, n, i in decreasing order.\nAnswer: n, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 25558.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) -0.6 (b) 0 (c) 1\/7 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -3451, -11547, -27297, -53251, -91959, -145971?\nAnswer: -217837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/13817 and 65\/82.\nAnswer: 27634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 114 = 9*h, 11 = -j + 40*h - 163*h + 122*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (21672\/54)\/((-4)\/(-3)) is divided by 54.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1633.005263 rounded to the nearest 10?\nAnswer: -1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27789 + 27809. Calculate the remainder when 3018 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6))**27 assuming i is positive.\nAnswer: i**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44814 is divided by 1184?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 97*u**3 + 9*u**2 - 16. Let h be o(-9). Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -174\/5 + 701\/20. Which is the nearest to -19\/6? (a) 5 (b) r (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlgdlld. What is prob of sequence ll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a + 627 = 3*w, -2*w + 414 = 2*a. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -145*o**3 - 71*o**3 + 57*o**3 + (4 - 2*o - 4)*(-5*o**2 + 2*o**2 + 2*o**2).\nAnswer: -157*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 + 3. Let a(v) = 1. Let c = -57 - -58. Suppose 5*g + o + 13 = -0*o, 5*g - 3*o = -21. Calculate c*p(x) + g*a(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334352 divided by 444784?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y - 0. Determine p so that -4*p**2 + y*p**4 + 0*p**3 - 2*p**3 - p**5 + 3*p**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j**2 - 5*j. Let c(q) = 13*q**2 + 11*q. Let h(f) = -9*f**2 + 26*f**2 - 16*f**2 - 11*f - 12*f**2. Let z(b) = 4*c(b) + 3*h(b). Give 13*u(n) + 6*z(n).\nAnswer: -3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -248, 2, -3, 78, 3, 0.\nAnswer: -248, -3, 0, 2, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 1183 + 1095. What are the prime factors of g?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 47*h**2 - 50*h - 164. Is q(-46) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -956. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/77 and 127\/90860.\nAnswer: 90860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 a when four letters picked without replacement from {a: 1, n: 12}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h = 434*h + 211*h + 21276 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*d*n**3 - 179*d with respect to n.\nAnswer: 183*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.286 + -0.386. Let f = 2.8 + -3. What is the biggest value in 4, f, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -1, -16, -27, -28, -13?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 558, 646, 750, 834, 862, 798, 606?\n\"Answer: -6*l**3 + 44*l**2 - 2*l + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 3*s**2 + 5*s**2 + 11.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 90*v - 2. Let b be i(-18). What is the remainder when 57 is divided by 9\/(-2)*b*(-224)\/(-96)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*f - 76, 7*j - 4*f = 2*j + 134. Suppose -34*p + 172 = -j*p. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3503*j + 3498*j = -5*h - 1805, 2*h + 6 = 0. Solve j*y - 363*y = 2*a - 31, 0 = -5*a + 5*y - 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2657 or 2659?\nAnswer: 2659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/45)\/(5\/(225\/15))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.3030821 to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d - 702 = 11*d for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/110517 and 149\/210.\nAnswer: 7736190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 212*j**3 + 432*j**2.\nAnswer: -2*j**2*(j - 2)*(j + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from uttjhuchhuhchuhhv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003038269599 to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/313 and -59\/15436.\nAnswer: 4831468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let x = -1 - -8. Let v(l) = -2*l + 17. Let t be v(6). Let k(s) = -s. Give t*k(q) + x*n(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 79 + -79 + 102 + -42.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)\/(69\/(-6141)). Let q = r - -262. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-24)*4 + 2. Let c = 9\/4 + 13\/12. Let x = l - c. What is the closest to -1 in x, -1\/10, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 11) + (-3 - (-4 - (13 + -10)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z. Let q(m) be the first derivative of -m**2 - 25*m - 310. Determine l(q(i)).\nAnswer: -6*i - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2 + (-31)\/((-341)\/(-22))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 8 + -1 - (-3 + (3 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/94 and -53\/12?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 + (-2)\/(-1) + (-1386)\/(-480) and -9\/14.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640.3 + 24?\nAnswer: 664.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 918*l**2 + 18*l - 44. What is the hundreds digit of y(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.16525 meters in micrometers?\nAnswer: 36165250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -226\/3 - -2480\/33. What is the closest to 0.1 in 3, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 24201.\nAnswer: 314613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4*l + 11 - 13)*(-l**2 + 2*l - 2*l).\nAnswer: 3*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 138283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.767 - -0.997. What is the biggest value in -0.1, -0.4, s, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.209521072 rounded to 4 dps?\nAnswer: 9.2095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddzrrrdz. What is prob of picking 1 z and 1 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 400554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let t = 13 - p. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r)**(-1\/6)*(r**(-14)\/r)\/(r*r**4*r))**(-16\/7) assuming r is positive.\nAnswer: r**(344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + -3 - 336\/64. Factor 1\/4*k**3 + 75\/4*k + 125\/4 + n*k**2.\nAnswer: (k + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - m = 12*p + 6, 3*p = 5*m - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxxxjjooejjojoojojj. What is prob of picking 1 j, 1 e, 1 h, and 1 x?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/45*(-6)\/44. What is the second biggest value in y, 3, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18034170685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*136\/(-2652).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-338)\/39 - 2\/(-3). Let t be (1*x\/130)\/((-2)\/(-20)). Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0. Let o be (2\/(-15) - -1) + (-2)\/3. Which is the third biggest value? (a) -6 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 - 405*u**3 - 2337*u**2 - 1935*u.\nAnswer: -3*u*(u + 1)*(u + 5)*(u + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 - 12*b**2 + 13*b - 10. Let p(d) = -20*d - 153. Let c be p(-8). What is the tens digit of r(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*63987708.\nAnswer: 63987708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*c**4 + 1452*c**3 - 10863*c**2\/7 - 38874*c\/7 + 49368\/7 = 0. What is c?\nAnswer: -2, 11\/7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + f + 3*f - 9*f - 80 = 0, 5*t - 4*f = 116 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 72*q**2 + 2340*q - 13200.\nAnswer: -3*(q - 10)**2*(q + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 10 = 4*z, 0 = -p - 2*z - 5 - 17. Let y = 22 + p. Find g such that 0*g**y - 2\/3*g**3 + 1\/3*g**5 + 0 + 0*g**2 + 1\/3*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.81721 millennia to years.\nAnswer: 51817.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 5*l - 2. Let c(w) = -2. Let o(h) = -3. Let f(g) = -8*c(g) + 5*o(g). Let n(t) = -6*f(t) - z(t). Is 8 a factor of n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:49 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4323 or -38900\/9?\nAnswer: -4323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 135\/25 - (4 - 3). Which is bigger: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/958 and 41\/4.\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8814484?\nAnswer: 2, 7, 43, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/64 or -1?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/7 (b) -69 (c) 28.75 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 437003\/5 + -87373. Solve -1587\/5 - 3\/5*p**2 + i*p = 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 16*x**2 + 2*x + 29. Let n be r(-16). Sort 2, n, -1, 5 in descending order.\nAnswer: 5, 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 7:02 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - 3*b**4 + 2*b**4)*(-7 + 0 + 2)*(-11 - 3 + 1).\nAnswer: 65*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87820 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 3*i + 2. Calculate h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0\/(-1 - -2). Suppose g - 6*g = 3*f - 11, 0 = f + 5*g - 7. Suppose -n + f*n + 4300 = v. What is n rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 302 - 344120?\nAnswer: -343313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 46*r**2 - 2541*r + 3077. Give x(54).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:57 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*c - 842 = 75*c - 4502 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = d - 4*u - 16, 0 = -5*d + 5*u + 35. Suppose -d*n + 129 = -2*n. What is the units digit of 2 + (n - 4\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w - 46*w = 34*w - 7258 + 1052 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*1 - sqrt(75))*5 + 3 - (sqrt(75) - (sqrt(75) + (sqrt(75)*-1)**2 + sqrt(75))*6)*-4) + -5 + -2.\nAnswer: -1804 - 220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/30*12*3\/(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3)\/((1344\/(-8))\/24).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*f + 0 - 3\/5*f**2.\nAnswer: -3*f*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/11 (b) -5 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*s + 447*s - 9*s**3 - 894*s + 3*s**3.\nAnswer: -6*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 176 - 18 = 49*j, -4*j - 3 = -3*j + 5*t - 4*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/50)\/(110\/(-25)). What is the nearest to 1 in -5, -63, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -584, -55760, -20 in ascending order.\nAnswer: -55760, -584, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -9. Let t(k) = k + 8. Let v be t(h). Is 1*16 - (2 - v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40921.62144 to the nearest ten.\nAnswer: -40920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32441621, 32441622, 32441611, 32441582, 32441529, 32441446, 32441327?\n\"Answer: -f**3 + 8*f + 32441614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72799 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/15)*j**(2\/33)\/j)\/((j\/j**(-22))\/(j\/j**(1\/24)*j)) assuming j is positive.\nAnswer: j**(-9613\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2280)\/(-52) - (-2)\/13. Let v be 16522\/8 - 11\/q. Suppose v = -t + 6*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 0.702563.\nAnswer: 2.702563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3788*f**2 - f**3 + 3788*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/180*-63*(-5)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1612306? (a) -1\/5 (b) -1\/3 (c) 2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 293042850068+-0.2\nAnswer: 293042850067.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 - -1970229.\nAnswer: 1970228.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -25496831 greater than or equal to -25496830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d0 - 3?\nAnswer: 5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*(sqrt(147)*2 - sqrt(147)) + 2 + 5))**2.\nAnswer: -1176*sqrt(3) + 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2154 or 0.2?\nAnswer: 1\/2154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-280))\/(10\/35).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p + 649*p = -11913 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8572408.2 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199359.200164 + 199362. Let d = 2.8 - x. What is d rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143846471*r**5 - 1151*r**2 + 25135.\nAnswer: 8630788260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/55)\/((-1)\/4 - (-147)\/74844*117).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 6*n + 8. Let h be a(-6). Suppose 0 = -2*s - 3*q + h*q - 10, 10 = 4*s + 5*q. Suppose 4*w + s*w - 4*r = 1508, -5*r = 20. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14 - -1)*(-20)\/(-12). Suppose 12 = -3*r - w, 4*r - w + 21 = -4*w. Let g be 1\/(r + 39\/12). Solve -l - a = g*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -252.2 - 493526.\nAnswer: -493778.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.6 and -16581.4.\nAnswer: -16584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-466)\/(-234) - 2). Let t = h - 72. Is 1\/(-4) + t\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**3 - m**2. Let z be x(1). Let k be 21996\/22 - z\/(-22). 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: Find the second derivative of -5484*d**2*r - d*r - 21*d - 1 wrt d.\nAnswer: -10968*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/19376?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 - 10*a - 4. Calculate j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2244 to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*d**4 - d**3 - 160*d**4 + 69*d**4 + 1 - d - 9*d**2 + 3*d**2 + 43*d**4 in the form t*d + u*d**3 + n + q*d**2 + c*d**4 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2, 8656, 2.076 in descending order.\nAnswer: 8656, 2.076, 2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -109. Suppose 0 = -16*t + 49 - c. Suppose -3*p = 3*j - 12, -t*p = -j - 13 - 3. Solve s + p*n - 1 + 0 = 0, -3*s - 14 = -2*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*z - 40 = 0, 3 = 3*m - 4*z + 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**3 - 2*m + 1. Let t be h(1). Suppose t*f + 0 = 12. Find y, given that 89*y + 75*y**2 - 29*y + f + 10 = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -2 in increasing order.\nAnswer: -2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20365 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20179260 divided by 60?\nAnswer: -336321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**4\/14 - 356*j**3\/21 + 911*j**2\/7 - 1464*j\/7 - 11999. Factor r(o).\nAnswer: -2*(o - 4)*(o - 1)*(o + 183)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/9 - (-1292)\/(-2907). Sort -3, -4, -2, 80, a in decreasing order.\nAnswer: 80, a, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lal when three letters picked without replacement from lalllggllqggakg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 7:43 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -5.07. Let l = f - 1. Let y be 2 - (-4)\/(3 + -5). What is the closest to y in l, 2\/5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/21 in 9, 2, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3888 and 71\/107541.\nAnswer: 15485904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**4 + w**3 + 1. Let x(z) = 3*z**3 - 3*z + 3. Let j(n) = 6*m(n) - 2*x(n). Find the second derivative of j(q) wrt q.\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 0.92. Let g = 20 - 20.9. Let o = -1 - g. Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -116*o + 111*o - 5, -o + 3 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*y - 3010, -2*u + 71*y + 1204 = 66*y. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-161)\/(-115))\/((-2)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**2*k - 2380217*d**2 + 25*d + 249950*k wrt d?\nAnswer: -8*k - 4760434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2 - 0. Let n be 1\/(l\/(16\/6)). Let o = -0.41 + -3.59. Sort o, -5, n.\nAnswer: -5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 2*r - 4. Let z be b(4). Suppose o - 2*o + 33 = -4*d, -4*o = d + z. Let l(t) = t + 5. Give l(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((116250\/(-120))\/(-31))\/(15\/24)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 7*r - r)*(2 - 7 + 0)*(11 - 6*r - 11).\nAnswer: 210*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 31*a - 2. Let w(f) = -9*f**2. Give n(w(l)).\nAnswer: -279*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-10 - (-14 - 16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4648 + 8265. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 17*y + 1. Let i be b(-1). Let o be (i\/20)\/(2\/(-5)). Suppose -2*h + 8 = o. Solve -5*l = g - 5*g - 27, l + 2*g = -h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-96)\/(-31) - 3). Let n(j) = -26*j + 158. What is the tens digit of n(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l**3 - 3*l**2 + 2*l + 7. Let z(k) = 5*k**3 - k**2 + k + 3. Suppose -x + 35 = -5*b + 78, 3*b - 13 = -x. Determine b*z(c) - 3*h(c).\nAnswer: 2*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 3*(-4 + 5). Is 10 a factor of ((-2)\/(-4 + 2))\/(v\/(-597))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 + -36. Suppose 5*g = 14*g - m. Calculate the least common multiple of g and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323221 - -21?\nAnswer: -1323200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 10*z = 4*x - 34, 7*x = 6*x + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1938*z + 1906*z + 43839 = 251415 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2105, 2748, 3391, 4034, 4677, 5320?\nAnswer: 5963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34809463009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 77.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, z: 4, j: 1, x: 3, i: 1, o: 5}. Give prob of sequence xo.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 400.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 15*p**2 - 17*p - 12. Let d be v(-16). Suppose 3*t = -d*f + 3, -30 = -5*f + 10*t - 5*t. Solve n + 4 = f*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68.46 + -7.94. Let d = y - -69.4. Which is the third smallest value? (a) -2 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33520505 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -39*z - 35. Is (z - 1197\/7)*-1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/5 + 16*d - 160 = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110010010001001100 + -101?\nAnswer: 100110010010001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*k - 12 = 0, -2*j + 3 - 11 = k. Let d(m) = m**2 - 4*m - 9. Let r be d(6). Sort -1, j, r in descending order.\nAnswer: r, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 3*j + 1. Suppose 5*a - 6 = 4. Let z be d(a). Let n(q) = 5*q**2 + q + 1. Let x be n(-1). Sort z, 1, x.\nAnswer: 1, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*m = 356*m - 626857. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -15, -34, -61, -96, -139?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 + 51*h**2 - 65*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-429))\/(4\/26)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and -2.83.\nAnswer: 0.5094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.922 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/10*((-5500)\/(-90))\/11.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 15*z + 5. Calculate u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1377) + (sqrt(1377) - (sqrt(1377) + sqrt(1377) + 0 - sqrt(1377))*-2) + sqrt(1377) + sqrt(1377) - 3*-2*sqrt(1377)))**2*3.\nAnswer: 648*sqrt(17) + 594867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1550*n**2*r**3 + 3*n*r**3 - 81*n*r**2 wrt n?\nAnswer: 3100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -414 or -5388\/13?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 176 - 101a?\nAnswer: -a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9)*n*n**5)\/(n**(1\/3)*n\/(n*n**(-5)*n))*n**(3\/2)*n**9*n*n**(-5)*n*n**(-1\/3)*n assuming n is positive.\nAnswer: n**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 107408, 858694, 2897856, 6868832, 13415560, 23181978, 36812024, 54949636?\n\"Answer: 107323*n**3 + 25*n + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 14 + 11*i - 5*i.\nAnswer: 6*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 0) + (8 - ((10 - -4) + -9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 - x - 94. Let b(w) be the second derivative of -w**4\/12 + w**2\/2 - 2*w + 49. Let r(t) = a(t) + b(t). Differentiate r(l) wrt l.\nAnswer: 10*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(162) + sqrt(162)*-2 + -3 + -5 + (sqrt(162) + ((-1 + sqrt(162) + sqrt(162))*1 - sqrt(162)) - (sqrt(162) + 0 + 0)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/6))**(2\/63) assuming p is positive.\nAnswer: p**(5\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 8\/7, 2\/15, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 4:25 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1160 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Suppose 0 = -3*x + l + 19 - 2, 2 = -l. Suppose x*c = -4*k + 93, 2 = -0*c + 2*c. Solve -2 = m*t - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/9 - 50*k**2\/9 - 4*k + 32 = 0. What is k?\nAnswer: -24, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14991 + 15061. Solve -3*r + 4*v = -11, 73*r + 24 = f*r - 3*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsfsuufusfefx. What is prob of picking 1 x, 1 u, and 1 f?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from iimmihliiccmmccihcm.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - d**2 + d - 76. Let r be z(0). Let t be (1 - r) + (9 + -19 - -13). Let a = -15 - -25. What is the greatest common factor of t and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 2. Let o(j) = -9*j + 5. Let n(s) = -4*o(s) + 11*x(s). Let d(z) = -6*z**2. Calculate d(n(q)).\nAnswer: -54*q**2 - 72*q - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4673 + 2*f**2 - 532*f + 532*f - 51*f**2 - 4673.\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 767\/8 + -96. Find the common denominator of z and -25\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:27 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2431.\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182723 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 431483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - (4 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -1253, -2521, -4215, -6335, -8881?\nAnswer: -11853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 356 and 218228?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 3*y. Let x be i(4). Suppose 0 = -3*g - 5*o + 115, x*o - 168 = -4*g + o. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8551462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 21 = -3*m, -92*c + 21 = -96*c - 3*m. Let 0*s**2 - 2\/11*s**5 + 2\/11*s**4 + 0*s**3 + c*s + 0 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 380 = 0. What are the prime factors of s?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -9*l + 59 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -666*y**4 + 530*y**3 - 82218 wrt y.\nAnswer: -2664*y**3 + 1590*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 0*n + 1295 = 0. Let w = n - -189. Solve 0 = 5*v - 5*c - 30, -w*c - 5 = 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7935, 7934, 7933?\nAnswer: 7932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 19*o + 8 = 15*o, -3*o = 4*m - 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 3 - 66\/30 - 2586\/(-30).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 6\/(240\/56)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 24 = 47*h - 165 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 589, -3, -6, -2, 4 in descending order.\nAnswer: 589, 4, -1, -2, -3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -97*u**2 + 21993*u + 109941. Calculate c(-5).\nAnswer: -2449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -747 - -750. Suppose 4*h - 3*x = 94 - 24, -p*h + x = -50. Solve 0 = 5*y - y + h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 + -190.6. What is the biggest value in o, -1\/85, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8) + -13 + 20 + -7 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439 + 445. Let x(j) = j. Let a(b) = 5*b - 8. Give d*x(h) - a(h).\nAnswer: h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 139, 1606?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1\/4, 1\/4 in ascending order.\nAnswer: -17, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/3*(-12)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 2. Let k(d) = -3*d + 2. Suppose 25 = -7*f - 52. Let s(t) = -5*t + 3. Let i(u) = f*k(u) + 6*s(u). Suppose 3*b = b + 4. Give b*i(l) + 5*y(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 18*f - 15936. Does 40 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2*g + 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**4 - 25*d**3 - 148?\nAnswer: -8*d**3 - 75*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 282 + -282. Solve -b = 2*y + 1, z = -4*b + 5*y + 30 - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*z + 247, 51 = a - z - 10. Let l = a + -59. Suppose 57 = l*n - 18. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 712 + -714. What is the second biggest value in -0.5, g, -2.6, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*k + 3*t + 4, 13 = -k - 3*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*m**4*o**2 - 3*m**2*o**2 - 3*o**2 + 7 wrt m.\nAnswer: 2856*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 3*d**2 + 50 - 107.\nAnswer: 3*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b + 209. Let f be y(23). Let z = 140 + -91. Let k = f - z. What is the lowest common multiple of 66 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6 + a**2 + a - 2*a**2 + 5*a. Let m be t(4). List the prime factors of 1 - (-1 - (m + 7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 24*n**3 - 11*n**2 + 7. Let a(k) = -k**3 + k**2 + 1. Let o(h) = -5*a(h) - c(h). Let i be o(-4). Round i to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6737 = 5*a - 1978. Let s = a + -52. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-2))\/(1 + 1). Suppose 0 = -b*d + d - 12. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(sqrt(50) + (sqrt(800))**2) - (4 + -1*sqrt(7200))) + -4.\nAnswer: -9608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 minus -105134?\nAnswer: 105094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/(-175)*(-5)\/(-2). Are t and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, r: 8, x: 1}. Give prob of picking 2 a.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146741070 and 70?\nAnswer: 146741070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0440939228 - -0.0696?\nAnswer: 0.0255060772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*((0 + sqrt(405)*-2)*3 + 1*(sqrt(30) + -2*sqrt(1470) + sqrt(1470))\/sqrt(6)).\nAnswer: 3 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 7, l: 1}. What is prob of sequence ili?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 260089\/117 + -2223. Let q = -1283\/234 + i. What is the common denominator of -103\/12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34302, 41999, 54832, 72807, 95930, 124207?\nAnswer: 157644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r - 2*r)*(0 + 0 + r) + r**2 + 3*r**2 - 2*r**2 + (0*r - 10*r + 7*r)*(2*r + 3*r - 6*r) + 5 - 5 + 4*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/3 + 413*y**4 - 508*y**3\/3 - 23062*y**2 + 98610*y - 116991 = 0.\nAnswer: -9, 3, 7\/2, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1) + (1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -y - 1826. Let m = y + 3753. Suppose 4*r - 163 - m = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y + 4*n, -7*y + 3*y - 2*n + 12 = 0. Suppose -4*a - 4*c = -2*c + 14, 3*c + y = 0. Let t = 11 + a. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 35803 = 2*j, 2*s + 0*s = 2*j + 35806. What is j rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*k - 8*k - 12, -2*a + 5*k = -16. Let z = 211.03 - 208. Let n = z + -0.03. What is the third biggest value in a, n, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2591295 and 40\/6699.\nAnswer: 28504245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*g - 123 + 127, 4 = l + 3*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2311001 (base 5) in base 14?\nAnswer: -11116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17678552 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32292 divided by -39\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222687 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -2173*k**6\/6 - 986*k**3\/3 - 1632. Find the third derivative of g(a) wrt a.\nAnswer: -130380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -767, -759, -747, -731, -711, -687?\n\"Answer: 2*o**2 + 2*o - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 15 + 0)*(3*i + 0*i - 4*i) + (-2 - 2*i + 2)*(1 + 1 + 0) + 3*i + 0*i - 4*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 158974897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -1?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 30*a + 8. Let w(h) = -2*h + 5. Determine -g(m) + 6*w(m).\nAnswer: -42*m + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 1417 = 5883 + 4738. What is the lowest common multiple of n and 295?\nAnswer: 3835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4691745881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.63, 1\/3, -2117, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3 + 88*h**2 + 112*h - 4704 = 0.\nAnswer: -14, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 21*u**5\/5 - 249*u**4\/16 + 51*u**3\/4 + 3*u**2 - 3*u - 9. Solve b(z) = 0.\nAnswer: -2\/7, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 443\/4 - 111. What is the nearest to 0.4 in c, -1.1, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**3\/2 + 7*r**2 - 338*r. Give a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a - 2*a**3 + (1 + a - 1)*(a**2 - 3*a**2 + 3*a**2) + 2*a**3 + 4*a**2 - 4*a**2 + (-4*a + 7*a - 5*a)*(-10*a**2 + 27*a**2 - 23*a**2).\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + 1)**2 + 0 + (sqrt(20))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48687.009 rounded to the nearest ten?\nAnswer: -48690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l**3 + 7*l + 1. Let k(z) = -z**3 - z + 1. Let d(f) = k(f) - o(f). Find the second derivative of d(s) wrt s.\nAnswer: 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32*1\/2 - (-3)\/3. Let s(w) = 5*w - 2. Let t be s(2). Suppose 0 = 3*r - r + 4*v, 0 = -4*v - t. Solve r*j + p = -3*m, j = 4*m + 4*j + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(66)*-2 - sqrt(66))\/(sqrt(48)*-1))\/(-4*sqrt(8)\/sqrt(4) + sqrt(200)*-3))**2.\nAnswer: 539\/18496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495542 is divided by 4097.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 13*h + 32. Let f be w(4). Let q be 3*(0 + 8\/f). Let s(m) = m**2 + m + 2. Let d be s(-2). Solve 3*a + q = l, -2*l - 1 = d*a - 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12*21\/(-7)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r + 3*r = -168 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*r + 2*r. What is the third smallest value in -5, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.03 + 0.03. Let l = w + 1.6. What is the closest to 0.1 in 6\/11, -3, l?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 12*g - 304. Suppose 0 = -9*t + 7*t + g. Let r = 23 - t. Which is the second smallest value? (a) 10 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 478*f**2 - 2*f + 17. Let t be l(6). Suppose -53*j = -60*j + t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.07721106 to 4 decimal places.\nAnswer: 1.0772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 374773 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 445 * -0.33442.\nAnswer: -148.8169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 + 20*l**2 + 404*l - 106. What is u(21)?\nAnswer: -1324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 41*p**3 - 2 - 3*p**3 - 41.\nAnswer: -40*p**3 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 350191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1415*q + 4117*q - 2375*q.\nAnswer: 327*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 262, 4\/27, -2, 1\/989?\nAnswer: 1\/989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r - 22*r - 10*r - 2*r**2 - 15*r + 5 + 49*r. What is w(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*80\/384)\/((-9)\/(-288)*-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + t + 24. What is the units digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 556 - -2?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 + d. Let a(q) = 2*q**2 + q**2 - q**2 - 4*q + 1 - q**2. Let z be a(5). What is b(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 3*a - 145 = 0, 4*h - 73473*a = -73477*a - 92 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 6*r - 13. Let y(o) = 4*o**2 - 2*o - 25. Let h(q) = 4*q**2 - 5*q - 25. Let l(d) = -3*h(d) + 2*y(d). Determine -6*l(k) - 11*n(k).\nAnswer: 2*k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 1584\/20 + ((-238)\/(-35) - 7).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 229ab029?\nAnswer: -229ab02b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -81.443, -5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 - 9) + 1 - (-32 - -15).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -325.6 times 0.6\nAnswer: -195.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13738 (base 9) in base 11?\nAnswer: -7030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 + 9*u + 426. What is a(-18)?\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 8. Suppose l = y*i + 8, -i = l + i. Calculate the smallest common multiple of 2 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -4.4589.\nAnswer: -8.9178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 125 = -2*z. Let k = z - -176. Suppose o - k = -5*g, 26 = 2*g - 3*o + 2*o. What is the lowest common multiple of 10 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -379 - -375. Which is the second smallest value? (a) -5 (b) p (c) 0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(4 + 20\/(-8)). Suppose -s + 3*s - 60 = 4*j, -t = 2*j. Suppose 0*m = -2*m + 192. Calculate the highest common factor of m and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18929*x**5 + 273*x + 64 wrt x.\nAnswer: 378580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3955877 and 0.68.\nAnswer: 0.2844123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from ccckfcckcfffcfffcfc?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2\/(12\/2883)*(-66)\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -951293 (base 10) in base 4?\nAnswer: -3220033331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**5\/5 - 34*d**4\/5 + 64*d**3 - 512*d**2\/5 = 0?\nAnswer: 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 + 115.57. Let v = -0.47 - g. Let m = v - -0.7. What is m rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/15*(36 - (-954)\/(-24))*16\/(-9).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + (sqrt(17) - sqrt(1088))*5)*-2)**2.\nAnswer: 8960*sqrt(17) + 1333056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2409\/5 - -16868\/35. What is the closest to 2\/9 in k, 0.4, -3\/7, 3\/170?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -18, 5, 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*w**3 + 7 - 115*w - 41 - w**2 + 39 - 2234*w**3 wrt w.\nAnswer: -14010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*p - 22 = 417*p - 4*o, 5*p - 20 = -3*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 7, 0.6, -2, 1 in decreasing order.\nAnswer: 7, 1, 0.6, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 30*v + 58. Let n(r) = 9*r + 19. What is -8*n(g) + 3*z(g)?\nAnswer: 18*g + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -638 - -1275\/2. Let a = 1.47 + -1.4. Let h = -0.13 - a. What is the third smallest value in d, 2\/7, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 436686 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = 2*c + 3*v, 4*c - 1 = -v. Suppose 4*r = -3*u + 29, -r + 4*u + c*u = 7. Suppose 0*p + 4*p - 12 = 0. Solve -2*h + p = -r*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 9. Let u be 2\/k - (-552)\/32. Is 14 a factor of u - 1\/(-2 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 311. What are the prime factors of b?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*b + 9 = 0, -2*i - 2*i - 5*b - 12 = 0. Let s = i + 8. Solve -s*f - 1 = 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4388252 and -1.2.\nAnswer: -5265902.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/2))\/w)\/(w*w**(12\/5)) assuming w is positive.\nAnswer: w**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*q - 38*q**2 - 145*q)*(-4*q - 8*q - 11*q) + 0*q**3 + 0*q**3 + 2*q**3 + (-3*q**2 + 3*q**2 + q**2)*(q + 2 - 2).\nAnswer: 877*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -21. Sort a, 0.1, 2\/5, -4 in increasing order.\nAnswer: -4, a, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:39 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20941 is divided by 434?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50970 + -82?\nAnswer: -50a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*q + 189*q = -102 - 338 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12702595\/4 or 3175648?\nAnswer: 12702595\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 6*d + 0*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 964 divide 5847679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/8)\/(30\/(-100)))\/((-75)\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3574 - 0.0426. Which is the closest to -0.2? (a) -795 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*x**2 - x + 5 + 6 - 362*x**2 - 11 in the form h*x + f*x**2 + j and give f.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**4\/4 - 77*g**3\/6 + 182*g**2. Let v be l(15). Solve 6*s = -v + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1788, 7168, 16142, 28716, 44896, 64688?\n\"Answer: z**3 + 1791*z**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0448 - 0.3448. Sort -3.8, 2\/3, j.\nAnswer: -3.8, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/45 greater than or equal to 1127\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k - 64. Let t = 10 + k. Does 3 divide (t\/(-10))\/((-2)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 6:10 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 202995833129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*y + 9*y + 2720 = -33*y + 8181 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5 - 44*b**4 - 140*b**3 - 100*b**2 + 144*b + 144 = 0.\nAnswer: -6, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -484, -5, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3896392340 to the nearest one million.\nAnswer: 3896000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(3 - (4 + 0)). Let v be 0*(-3 + 13\/4)*-1. Suppose v = 19*o - 14*o + 75. Put o, 4, i in increasing order.\nAnswer: o, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1910 times 0.846?\nAnswer: -1615.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1184867 - 3554603 - 2*b + 1184866 + 1184870.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from ykkyykwykkwyykkkyy.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g**3 + g**3 - 4*g**3)*(-8*g - 2*g - 5*g) + (0*g**3 - 2*g**3 - g**3)*(-4 + 4 + 4*g)*(-3 + 0 + 1) to t*g**4 + k*g**3 + c*g**2 + f + v*g and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 14 + -3 - (-20 + 103)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 106 + 14. What is the greatest common factor of 465 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**2 + 1\/24*r**4 + 1\/2*r**3 - 1\/120*r**6 - 1\/20*r**5 - 7*r + 0. Factor h(t).\nAnswer: -(t - 1)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + -4*(5 + -5 + sqrt(363)) + -5) + -1)**2.\nAnswer: 2904*sqrt(3) + 52393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34105249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)\/m)**(8\/7) assuming m is positive.\nAnswer: m**(-64\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 0.64. What is the nearest to -2\/5 in -3, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/56 or -1?\nAnswer: -13\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s - 13*s - s**3 + 3*s**2 + s as l + o*s + y*s**2 + v*s**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -39, 3\/7, -0.5 in descending order.\nAnswer: 3\/7, -0.5, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37615 - 5455 = 8*j. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7302373 and 252603?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.52126 litres to millilitres.\nAnswer: 40521.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -138 divided by -62534\nAnswer: 69\/31267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + 6*2*sqrt(5)))**2 - (1*(sqrt(5) + -5) - sqrt(45)*-5)**2.\nAnswer: -320*sqrt(5) + 1675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + q = 6*q + 27, -3 = -4*d - q. Let g(z) = -4 + 2*z**d - 856*z**3 + 863*z**3 + 5 - 2*z. Determine g(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 7:00 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by -42.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001488 to six decimal places.\nAnswer: -0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) -3\/58 (d) 3 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + 3*u**2 - 9*u - 5350. Let j(p) = p**3 + p**2 - 3*p + 1. Calculate -3*j(z) + r(z).\nAnswer: -z**3 - 5353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times 0.1927\nAnswer: 0.34686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1582*z. Let x(p) = 2*p. Give q(x(s)).\nAnswer: -3164*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/532 and -41\/152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-37)\/(407\/(-198))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.147? (a) 3 (b) 6\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-105))\/(38\/1729).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -824, -1957, -3544, -5585, -8080?\nAnswer: -11029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10552*k + 5278*k + 5292*k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59158986 by 6.\nAnswer: 9859831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**7\/1260 + x**6\/120 + 13*x**5\/360 + x**4\/12 + x**3\/9 - 25*x**2. Factor b(q).\nAnswer: (q + 1)**2*(q + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 395 - (0 + (9 - 1))?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 318 + -317.9821. Let k = a - 0.1165. What is k rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8735834 and -5.\nAnswer: 43679170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 830489\/30 + -27678. Let c be (-3)\/1 - (-90)\/82. Let p = c + -4657\/246. What is the common denominator of p and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319263499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672278?\nAnswer: 2, 29, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -315379\/3 and -105126 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 112 + -8a16?\nAnswer: -8904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000188723 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(200*54\/8775).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*q + 2*q - 5)*(q**3 - 3*q**3 + 0*q**3).\nAnswer: 2*q**4 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 - -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w**2 - 16*w + 12. Let r(y) = -15*y**2 - 16*y + 13. Let p(m) = 5*l(m) - 4*r(m). Factor p(z).\nAnswer: -2*(z + 2)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183883884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.025647666805069.\nAnswer: -2.025647666805069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:25 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {o: 1, h: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 719 - 745 - 15*g**2 - 8*g**2. Let k(f) = 1. Let m(z) = 3*k(z) + y(z). What is the derivative of m(c) wrt c?\nAnswer: -46*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 396867.5 centimeters?\nAnswer: 3968675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*f**3 + 308*f**3 - 548*f**3.\nAnswer: 41*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyyybyyyybycrcyecb. Give prob of sequence cy.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -42*h - 115. List the prime factors of d(-13).\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*y - 7721, 4*c - 15589 + 2724 = -5*y. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109.1 + 109.2. What is the fourth smallest value in 0.43, -3, i, 1\/5, -2\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88719 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: What is the fourth smallest value in -2, 2\/17155, 1\/14, -0.02?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 1, c: 1, g: 1, u: 2}. Give prob of sequence nn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 2)\/(130 - 124). Which is bigger: -3\/865 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 15*g - 40. Let w be p(-11). Which is the second smallest value? (a) -4 (b) -0.4 (c) 0.09 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189248 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: Suppose 37*x = 54*x - 1380577 + 268794. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**3 - 35*q**3 - 2*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2881?\nAnswer: 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 2, m: 1, l: 2, f: 2, w: 1}. Give prob of sequence omf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(136)*-2)\/(sqrt(96)\/sqrt(3) + sqrt(8))*-6 - (3*(1 + (sqrt(612) - -2*sqrt(612))) + 1))**2.\nAnswer: 304*sqrt(17) + 24564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2503 is divided by 312.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2823099 divided by 3.\nAnswer: 941033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 47156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -2, -27, -86, -191, -354, -587?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -38686\nAnswer: 1\/38686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 - 3*i. Let j = 19 + -45. Let p = 24 + j. Give a(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -388.999741 + 389. Round o to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 2 - 5) + -4 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7386754139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140059508*d*t**2 - 125861321*t**2 with respect to d.\nAnswer: -140059508*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8431 and 0.3.\nAnswer: 2529.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f - 3*f + f - 3*f**2 + 4*f**2 + 11*f**3 + 2*f**4 to g + k*f**4 + r*f + i*f**2 + t*f**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g - 21. Let p(z) = z**2 - 6*z - 5. Let a be p(g). Is (-2 + 1)\/(a\/(-74)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1875, 3758, 5629, 7482, 9311, 11110, 12873?\n\"Answer: -k**3 + 1890*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -6485*h + 6490*h - 4*t, 2*t + 24 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m**2. Let p(q) = -8397*q**2. Calculate x(p(r)).\nAnswer: -987134526*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*w + 2*f + f, -5*w + 2*f = 52. Let m = 12 + w. Let o be (1\/m)\/(2\/16). Solve -4 = 2*u - o*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00478082 to five decimal places.\nAnswer: 0.00478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*d + 22 = 0, -4*c - 1 + 14 = 5*d. Let g(m) = -9*m + 17. Let w be g(c). Let x = -43 - w. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*d + 513 = 4*d, o - 107 = -3*d. Suppose 3*j = -2*r + 83, 5*j = -4*r + 60 + o. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/(10\/4 + -2). Let a be (c\/(-7))\/(-10 + 8). What is the nearest to 1 in 1\/9, -1\/3, a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (1 - 4)) + (-19 - -29)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 2 - 7) + 0 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 50. Suppose r = -4*o + 211, -311 = -5*o - 3*r - 49. Calculate the remainder when o is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/6*((-1581)\/(-248))\/(-51)*6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from oykyyyykyoy.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f - f)*(-7*f + 12*f - 7*f - 35*f**2) + 5*f**3 + 16 - 16.\nAnswer: 75*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20 = 4*l, 3*l - 2 - 4 = 3*h. Let u = l - 1. Solve -6*z**u - 4*z**4 + 6*z**2 + 6*z + z**4 - 3*z**2 = 0 for z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 13. Let i(x) = 3*x**2 - 90*x + 165. Let n be i(28). Determine y(n).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**8\/v*v**(6\/13)\/v assuming v is positive.\nAnswer: v**(110\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18730661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/29, -7, -1\/2 in decreasing order.\nAnswer: 2\/29, -1\/4, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*h + 32873 + 30399. Is -1435\/2 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -10*o - 1\/66*o**4 - 2\/33*o**3 + 0 - 1\/11*o**2. Factor h(q).\nAnswer: -2*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11*j - 12*j - 2*j**3 + j**3 - 3 + 6*j - 4*j**2. Calculate l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 + 104. Let o = l - -62.00029. Round o to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-4\/9)))**(-16)*l\/(l*l\/(l**(-1\/30)\/l))*l**(6\/17)*l*l)**(-10) assuming l is positive.\nAnswer: l**(-11369\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 + 11*h**2 + 2*h + 11.\nAnswer: -12*h**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18 - -14 - 6*-1. Suppose 5*c - p*s = -6*s + 1107, 5*c + 2*s - 1111 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 + 124. Let c(w) be the second derivative of -w - 1\/6*w**4 + 2\/3*w**3 + 0 + b*w**2. Let c(t) = 0. What is t?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*p + p - 7*p)*(p + 5*p - p)*(6*p**2 + 3*p - 3*p) to the form x*p**4 + f*p + o*p**3 + z + u*p**2 and give x.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2861482l to millilitres.\nAnswer: 286.1482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100 - 68. Let b = 32 - u. Suppose 3*x - 3 = -m, x - 4*x + 12 = 4*m. What is the closest to b in x, -2\/17, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h. Let g(i) = -2 + 2 + i. Suppose -5*l - 2*t = -4*l + 8, 0 = t + 5. Suppose 17 = -l*d + 25. What is d*u(k) + 22*g(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 161728694691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r + 18. Calculate j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -975*m**2. Let c(a) = 29*a**2 - 55*a**2 - 4 + 24*a**2 + 4. Give i(c(p)).\nAnswer: -3900*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54531*t**6 + 322*t**2 + 49.\nAnswer: -6543720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from iippypjimy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1552542 (base 6) to base 11\nAnswer: -63681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -15, -18, 413 in increasing order.\nAnswer: -18, -15, -7, 3, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14656?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592489 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-60)*(-1035)\/575)\/(3\/(-136))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*t - 20 = 0, 38*v = 42*v - t + 14. Let o be 4\/10 - (-46)\/10. Suppose x - 3*m = m - 3, o*x + 4*m + 15 = 0. Is x smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285341 is divided by 2283.\nAnswer: 2249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 15) to base 10\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25168 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 3\/87865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8002307 to the power of 1\/2, to the nearest integer?\nAnswer: 2829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3 - 21. Let i be (-6)\/p*(-224)\/42. Is (-2)\/((8\/(-469))\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2120 divided by 265\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {u: 4, g: 5, i: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 23*s + 723. Let f(r) = 4*r + 1. What is -6*f(l) + u(l)?\nAnswer: -l + 717","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**3*n**2 - 155*l**3*n - 8*l**3 + 3*l**2*n + 159*l**2 + 76*l*n**2 wrt l.\nAnswer: 30*n**2 - 930*n - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1)*(-3084)\/2570 + (31 - -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -36.7. What is y rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535, 522, 509, 496, 483, 470?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28079 and 2268.\nAnswer: -25811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reaaweeeeeeerwa. Give prob of sequence wa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9454*a + 2057*a - 7149*a + 301*a)*(-6 + 1 + 0) + (1 - 6 + 3)*(-a + a + a) as o*a + r and give o.\nAnswer: 71223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -49692 (base 10) in base 8?\nAnswer: -141034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:36 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32280 (base 12) to base 8\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1052)\/154 + (-168)\/(-308)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 1, y: 1, b: 1, s: 2, z: 1}. Give prob of sequence sfsz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r - 4. Let p = 0 + 3. Suppose 0 = p*h - 0*h - 3. Calculate the remainder when r is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.90552 * -61.1.\nAnswer: 788.527272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 57 + 0)*(-4*m + 9*m + 10 - 7*m).\nAnswer: -96*m + 480","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21806511 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 42*m - 215. Let w be f(6). Let q be (w\/(-21))\/((-1776)\/198 - -9). Are q and -2\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249236123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 883 + -2701\/3. Let l = 158\/9 + s. Suppose -3 = 2*q + q. Which is the closest to -2\/5? (a) q (b) l (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.815, -0.0802, -3 in increasing order.\nAnswer: -3, -0.815, -0.0802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/24 - 2*t**5\/3 - 10*t**4\/3 - 3*t**2. What is j in d(j) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 7 + 144\/(-20) + 421\/5?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -1\/4, -1, -2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*i + 74*i - 26*i)*(-15*i + 2 - 2)*(-4*i + 3*i + 3*i) to a*i + c*i**2 + r*i**3 + h and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-18)\/((w\/(w**(-18)*w))\/w) assuming w is positive.\nAnswer: w**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -376?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 72*w + 6. Let d be c(24). Suppose -3*q + 3*s - d = 0, -19 + 23 = 2*s. Solve 0 = 3*p + 5*g - 8, q*g + 7 = 5*p + 2*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 - 4*x. Let u(n) = 51*n**2 - 28*n**2 - 3*n - 28*n**2. Let y(g) = 3*c(g) - 4*u(g). Let o(a) = 2*a**2. Give y(o(r)).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**8\/336 - 281*n**7\/70 + 3793*n**4\/24 - 3566*n**2. Find the second derivative of r(j) wrt j.\nAnswer: 20*j**3 - 10116*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -882*g - 583*g + 1703 - 1704 + 0 - g + 0 + (0*g - 2*g + 3*g)*(4 - 3 + 1).\nAnswer: -1464*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13007\/4 + -1001463\/308. What is the common denominator of c and 4\/99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.89764*-1.\nAnswer: -1.89764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -310.01608 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 27*a**2 - 66*a + 13. Is w(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 45*f + 49*f + 4.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gee when three letters picked without replacement from {e: 4, a: 2, g: 1, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 5 = -26*w. Sort -2, 60, w, 5 in increasing order.\nAnswer: -2, w, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**2 + 319*m - 2 - 687*m**3 - 1780*m**3 + 40*m**3 - 326*m**3 - 5*m**2 wrt m?\nAnswer: -16518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 17*a**2 + a + 18*a**2 - 29*a**2 - a**3. Suppose 3*r - 24 + 6 = 0. Give t(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 20 = 14*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -235.8 - 0.20684594.\nAnswer: -236.00684594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3 = 3*k. Let d be (-6)\/8 + 2 + k. Is -0.3 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*k - 39 = 0, -58*w - 71 = -61*w - 2*k. Calculate the remainder when 73 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/385)\/((-8)\/(-88)))\/(2\/(-91))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1210 - -0.03456.\nAnswer: -1209.96544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1)*(10 - 8). Suppose -d = b, -x*d + 6*b = b - 28. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22962, -45924, -68886, -91848, -114810, -137772?\nAnswer: -160734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 83*g - 61 = 81*g, -5*v - g = -v + 63 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28962251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)*b*b**(3\/8))\/(b**4\/b**5) assuming b is positive.\nAnswer: b**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 + 3*f + 7. What is the tens digit of p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-10)\/(-9))\/(143\/((-21879)\/(-204))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 12 (b) 0 (c) -2\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/15*(-3)\/(-8). What is the closest to 1\/3 in -0.4, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y + 3. Let s be t(3). Let i(a) = 2*a**2 - 16*a - 11. Let o be i(s). List the prime factors of ((-952)\/o)\/((-1)\/5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23256959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-9 + 13 - (18 + (2 - 3)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 12*b**2 + 280*b - 266. What is n(11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/540 and 68\/15255.\nAnswer: 61020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69182?\nAnswer: 2, 34591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, 3, 6\/7, 2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1121)\/(-38)*(-2 + -36). Let p = 3206 - u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14842000 rounded to the nearest 100000?\nAnswer: -14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 141\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/2*87\/12. Suppose -4*l = -f + 38. Is (-90935)\/26*(-2)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 637240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 17 - 26 = -3*r, -3*r + 3*y = -33. Let i be (-105)\/(-9) + 2\/r. Does 14 divide 1*i - (-8)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226275*p + 4*u - 4 = -226274*p, 5*p = 8*u - 32 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92919049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406.726 rounded to the nearest ten?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 15 = -2*c + c, 2*p = c + 35. Let h(w) be the first derivative of -3*w**2 + 28 + 2*w**2 - 6*w - p. Determine h(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-10) + (-14)\/10. Is o\/(-8) + 27\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-513) + 465\/3705.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 639\/18*(-3 + 7)\/2. Suppose i = -6*u + 89. Put u, 7, -11 in ascending order.\nAnswer: -11, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**2 - 1. Let o(l) = l**2 - 3*l - 6*l**2 + 3*l. Give h(o(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8891, 8880, 8867, 8852, 8835, 8816?\n\"Answer: -c**2 - 8*c + 8900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 6 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*x - 1 - 3 + 2 + (0 + 1 - 3)*(0*x + 0*x - 2*x) - 3*x + 4*x - 2*x to n*x + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 21*j. Let h(y) be the first derivative of 7*y**6\/360 - 2*y**3\/3 - 32*y**2 + 102. Let s(t) be the third derivative of h(t). Calculate x(s(z)).\nAnswer: 147*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**1*w*w*w)\/w*w*w)**16*(w\/(w*w*w**(2\/7)))**(-23\/3))**(-7) assuming w is positive.\nAnswer: w**(-741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*(sqrt(500) + 2 - sqrt(500))**2)*-5.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -7) + -6 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-40)\/4 + -34*6\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4}. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i + 116. Determine a(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-1)*(b**1\/b)\/b*b)\/(b\/(b*b**(1\/2)*b))**24)**4 assuming b is positive.\nAnswer: b**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 z when four letters picked without replacement from {i: 2, z: 8}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*w - 24, -t + 1 - 9 = -2*w. Let p(x) = 3 - w - 7*x**2 - 1. Let d(f) = -2*f**2. What is d(p(r))?\nAnswer: -98*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 358*t + 4155. Let c be i(-12). Solve -5*j - 3*h - 21 + c = 0, 4*h + 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -59) + -159 - -34?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i - 1. Calculate the remainder when 92 is divided by q(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 962369366 and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4487 bigger than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**3 + 2*y**2 - 4*y**3 - 2 + 5*y**3 - 2*y**3 to the form k*y**3 + q + l*y**2 + w*y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/280 and 86\/105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) -2\/7 (c) -0.1 (d) -2461 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 29.2 + -536807246\nAnswer: -536807216.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18042\/(-341) - -48 - 1\/11)*7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o**2 - 15*o + 138. What is the thousands digit of n(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {u: 1, i: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 233*p - 7307. Give b(-261).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.215 - -19. Let g = -97.215 - u. Let c = 97.00000083 + g. What is c rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6777308, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1b8e0 (base 16) to base 4\nAnswer: -123203200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 41234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2554891 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5329, 5229, 5129, 5029, 4929, 4829?\n\"Answer: -100*b + 5429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3685 and 36850?\nAnswer: 36850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -2*s + 5, 5*s = 4*i + 20. Let x(d) = 3*d - d - d + 15*d**2. Calculate the smallest common multiple of x(1) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*3\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 5*s - 9. Calculate b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 5*x - 5. Let o be f(-6). Let q be o\/4 - 21\/20. Suppose 567*s + 18 = 576*s. Which is the closest to -2\/7? (a) -5 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 1\/3*f**2 - 2\/45*f**5 - 24 + 0*f - 14\/27*f**3 + 5\/18*f**4. Factor g(w).\nAnswer: -2*w*(w - 3)*(w - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c + 1. Let a be -1 - (316 - c - 0). What is a rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -2.93050854?\nAnswer: -2.93050854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*((-7*a - 57 + 57)*(a + 0 + 0) + a**2 + 3 - 3).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 210329?\nAnswer: 5\/210329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3*k - 2*k)*(-9 - 11 - 6) + 5 - 5 - 2*k.\nAnswer: -80*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -5*x**4\/8 - x**3\/3 - 59*x**2. Let t(u) = -2*u. Give a(t(v)).\nAnswer: 30*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 + 5*f**2 + 6*f + 4. Let j(v) = -6*v**3 - 6*v**2 - 7*v - 5. Let a(w) = -18*w - 5. Let c be a(0). Calculate c*g(d) - 4*j(d).\nAnswer: -d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 23 = -28. Suppose o - b = -4*f - 2, 0 = 4*o - 4*f. Let p(i) = 21*i - 7. What is the tens digit of p(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011110001 (base 2) to base 16.\nAnswer: -8f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10.474, -0.13, -2\/9, 1, 2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1905*r = 1687*r - 25070 for r.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 172, -1481, 2\/5?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/28)\/(8\/52 + (-536)\/1456). Solve 318*g - 322*g = o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 2502 - 6542 = -114*g for g.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 6:45 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 b when four letters picked without replacement from {a: 7, k: 6, b: 1}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 210?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 - 3*s**3 + 5*s**3 - 6*s - 2*s**2 - 1 - 3*s**3. What are the prime factors of q(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (160\/120)\/((-2)\/(-6)). Let s(q) = 3*q + k*q + 3*q - 2*q + 12. Suppose -2*x - 21 = 3. Let d(w) = w + 1. What is x*d(p) + s(p)?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8\/17725?\nAnswer: 8\/17725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1035*n**2 - 26*n + 163. Let f be t(13). What is f rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 7555605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -313 + 151*b**4 - 16*b**3 + 631 + 12*b**3 - 317 in the form m*b**4 + d + h*b**2 + k*b**3 + t*b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/12 + 7*h**3\/6 + 22*h**2 + 2*h - 16. Factor v(k).\nAnswer: -(k - 11)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6446959, 6446963, 6446979, 6447013, 6447071, 6447159?\nAnswer: 6447283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - (-33 + 16 + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 280*w**2 + 282*w**2 - 73*w + 0*w**3 - 563*w**2 + 5*w**3 to t*w**3 + b*w**2 + u + r*w and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + -23. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 836366, 836806, 837540, 838568, 839890, 841506, 843416?\nAnswer: 845620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - f + 11 = 0, 0 = -3*c + 2*f + 1 + 7. Suppose c*l + 919 = 2449. Calculate the greatest common factor of l and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + o = 19, -2 + 7 = -5*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44859 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -23 - (-247)\/13 - (-2 + -20230)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -266*s - 2. Let h(q) = 6384*q + 49. Let d(c) = -4*h(c) - 98*k(c). Let p(g) = 2*g**2. Calculate d(p(a)).\nAnswer: 1064*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3 + 36*q**2 + 12243*q + 398878 = 0?\nAnswer: -53, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - r**2 + 1. Let f be (-2)\/(-6) - 2\/(-3). Let x(o) = 2*o**3 + 3*o**2 - 3. Calculate f*x(h) + 3*s(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -15.8896.\nAnswer: -0.79448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 3 = -15*n. Suppose -5*c = 25, n*b + 3*c - 52 = 35. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 4*t. Let s(n) be the first derivative of -n**3\/3 - 4440. What is m(s(h))?\nAnswer: 2*h**4 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 232, -0.04, 1, -4, -2\/7, 1\/87?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/4 + t - 26. Let c(l) = -16*l**2. What is c(q(y))?\nAnswer: -144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182 and 154?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -10701 and -10744 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(6050) + 1 + sqrt(6050))*6 - sqrt(6050) - sqrt(6050)) + sqrt(6050) + -2 - 6*((sqrt(6050) + sqrt(6050) + 1)*6 + sqrt(6050)))**2*5.\nAnswer: 1179200*sqrt(2) + 135797365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 17, d: 3}. What is prob of picking 2 d and 2 w?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38341 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 28520496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 20 = -13*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-38)\/(-4))\/(1\/2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -35*r + 23. Let y(l) = 9*l - 6. Let o(p) = -6*v(p) - 23*y(p). Let k(t) = 2*t + 32. Calculate o(k(i)).\nAnswer: 6*i + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.267 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*y**3 + 20\/9*y + 0 - 14\/3*y**2 - 2\/9*y**4.\nAnswer: -2*y*(y - 10)*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + (sqrt(30) - sqrt(1080)))\/sqrt(5))\/(sqrt(72) + -3*sqrt(72) - sqrt(2)).\nAnswer: 4*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 272 - -20055?\nAnswer: 20317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 131*t - t**2 - 5192 - 4*t**2 - 10127 + 619*t - 12806 = 0.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3 - 32*g**2 - 72*g = 0. Calculate g.\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 270 and -0.3.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 - 2*m**2\/9.\nAnswer: -2*m**2*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5\/2*z**2 - 5\/2 + 0*z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 4*q**2 + 4. Let l be o(-4). Suppose l*z - 10 - 2 = 0. Suppose 2*b - 148 = -4*i, -3*b + 29 = -z*i + 158. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from iuidwwoioopiiwi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(252) + 0)**2) + (sqrt(7) - (sqrt(7) + (-1*sqrt(7) - sqrt(7)) + 2)).\nAnswer: -254 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11067 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/((4*sqrt(15))\/sqrt(3)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32032111 (base 5) to base 13.\nAnswer: 94b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:04 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 13*b**5\/60 - 3*b**4\/4 + 275*b**3\/2 - 258*b**2 - 1. Differentiate a(q) wrt q.\nAnswer: 26*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:33 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22840*i**3 - 106*i**2 + 14*i - 1 wrt i.\nAnswer: 137040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 15486096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.01, -0.4, -15.\nAnswer: -15, -1, -0.4, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**2 - 24*v**2 - v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168576 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11272*i - 90151. Give u(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 810113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 34366980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828641161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 6*n**3 - 7)*(2*n + 4*n - 4*n + 3) to m + b*n**3 + o*n**2 + k*n**4 + s*n and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 113900*r**2 - 5*r + 113900.\nAnswer: 5*(r - 22780)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2714028 and -0.3.\nAnswer: -2714028.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - -755528?\nAnswer: 7554cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-3*o + 44 - 44).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -251284 - 5?\nAnswer: -251300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3636 divided by -2?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5257 is divided by 1312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = -4*m, 3*j - 3 = 2*m - 12. Find the third derivative of c**5 - m*c**5 - c**3 - 28*c**2 - 3 + 16*c**2 - 2*c**3 wrt c.\nAnswer: -120*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 + 2011?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.21 + -5.21. Let g = 2 - 1. What is the nearest to h in g, -2, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 6d1?\nAnswer: 6cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/3 - 16*j**2\/3 + 14*j\/3 = 0 for j.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2416716 (base 8) to base 5\nAnswer: -132203430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**2*u + 45968*j**2 - 140*j*u + 2*j + 78 wrt j?\nAnswer: 8*u + 91936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -2 - (3 - ((2 - -4) + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81638 + -81635. Factor -10\/3*b**n - b**2 + 32\/3*b - 20\/3 + 1\/3*b**4.\nAnswer: (b - 10)*(b - 1)**2*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -27, 5, -3, 106 in descending order.\nAnswer: 106, 5, -3, -27, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443 (base 11) to base 2.\nAnswer: -1000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 482 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = i - 4*t, -4*t = 4*i - 20. Suppose -4*p - u - 120 = -5*u, 0 = -i*p - 3*u - 126. Let m = p + 82\/3. What is the closest to -1\/3 in -4, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.62, -1572\/5, -0.3, 1\/5, -1\/9, 28, 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*z, -5*t + 43 - 8 = 3*z + 2*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 4. Let k = i + 8. What is the smallest value in -0.1, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139 (base 12) to base 2.\nAnswer: -10111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21544501 - 50?\nAnswer: -21544551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23bd1 (base 14) in base 4?\nAnswer: 111111223","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 666870?\nAnswer: 6001830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16523 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -16. Let z(g) = -g**2 + g + 2. Let d be z(x). Let l(t) = -t**3 - 11*t**2 - 10*t - 4. Let c be l(-10). Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*v + 149 = -21, -2*f = 4*v - 64. Suppose -2*j + 28 = -8. What is the greatest common divisor of j and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 4. Suppose -4*v = -3*v - 4. Let r be m(v). Suppose 4*y - 3 = 5*y, r = -4*n - y + 37. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224517, -224526, -224537, -224550, -224565?\nAnswer: -224582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/200*(-2)\/(48\/(-10)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83968 and 23328?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (-8 + 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -364 + 359. Let k be 2*(0 - 2)\/(-12). Which is the biggest value? (a) k (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(2\/3)*l)*l)**47)**(1\/4) assuming l is positive.\nAnswer: l**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -470*v**2*z**3 + v - 332*z**3 wrt v?\nAnswer: -940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (56\/3)\/2*594\/231. Let k(z) = 3*z + 6. Let a be k(6). Calculate the highest common factor of a and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9645 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**4\/2 + 10*s**3\/3 + 8*s**2 - 5*s - 14. Let d(a) be the first derivative of z(a). What is i in d(i) = 0?\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = n - 4, -3*n - 3*y + 0 = -21. Let o = 9 - n. Let b be ((405\/105)\/(-9))\/(-1 - 20\/(-21)). Put b, -3, o in increasing order.\nAnswer: -3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o + 0*o - 3*o. Let c(x) be the second derivative of x**3\/6 - x**2 - 16*x. Let z(h) = -c(h) + 3*p(h). What is the derivative of z(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001468 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -2*p - 3*b, 55702 = p + 4*b + 55770 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-2610)*145*22\/2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17494024134*b - 17494024134*b - 2*b**2 + 0*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35626838 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 424628 = t - 1405108. Round t to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -59598, 1.1, 0, -0.2, 1, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 9, e: 3}. Give prob of sequence edd.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2837323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -133900 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20155 is divided by 446?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2928 and 89\/9272.\nAnswer: 55632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (18*(-18)\/(-360))\/(3\/(-5))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*m**2 - 2*h**2*m*v - h*m**2*v + 26*h - 3*m*v wrt v?\nAnswer: -2*h**2*m - h*m**2 - 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-35))\/4 - 2\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -605520529\/2124 - -285085. Find the common denominator of f and -103\/708.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 + 11*v**3 + 0*v**3 + (2*v**2 + 1 - 1)*(-3*v + 6*v + 0*v).\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3950\/19 + -208. Put -13, d, -0.1 in decreasing order.\nAnswer: -0.1, d, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - -62 - 176 - -148?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4126 + 3.5874. What is the nearest to 38 in 1\/9, 0, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*a**2 + 2 + 27*a**2 + 37*a**2 + 22*a**2 + 65*a to k*a + q + c*a**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4336930, -8673857, -13010782, -17347705, -21684626?\nAnswer: -26021545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -782886 + 207466196\/265. Let k = -48\/53 + r. Calculate the common denominator of k and -26\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32a (base 14) to base 3.\nAnswer: 212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 240092053268.\nAnswer: -240092053267.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/8)\/(2\/24). Let n be (-7)\/(-2) + 9\/i. Suppose 5*k + 235225 = 3*l, -3*l + n*k = -0*l - 235210. What is l rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3412346, 6824712, 10237078, 13649444?\n\"Answer: 3412366*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 132153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 3)\/(-2 - 0). Let a = -394\/139 + 1964\/695. Let m = a - -2056\/77145. Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, and 1 k when three letters picked without replacement from hhahhhhjhhehkhhkjhj.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n = -13*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5\/6, 0.07, 1, 2, 0?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1041986722618 and 51.1?\nAnswer: 1041986722669.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 - -106. Let i be 84\/8 + m + -2*1. Which is smaller: i or 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2259, -5, 4, 0, 2, -34 in decreasing order.\nAnswer: 4, 2, 0, -5, -34, -2259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 4142265?\nAnswer: 8284530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001626 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 325 + -321. Suppose -2*x - 514 = -a*s, -6*s = -5*s + 4*x - 106. Does 42 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*4*sqrt(180))**2 + 0.\nAnswer: 648000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011110101100 (base 2) to base 12.\nAnswer: -20a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 18.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -875704, -876122, -876540?\n\"Answer: -418*w - 875286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1424\/(-12))\/((-4)\/6). Let k = j + -88. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3))**7*(i**(-1\/5))**49 assuming i is positive.\nAnswer: i**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 32, 0, 2 in increasing order.\nAnswer: 0, 0.1, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10422?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 1612832*l**2 + 1004338*l**2 - 9*l.\nAnswer: 2617170*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 7, m: 1, k: 2, y: 5}. Give prob of picking 1 d, 1 y, and 1 u.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -g + 2*x, -10 = x - 3*x. Let u = -8\/609 + -2396\/3045. Which is the nearest to 6? (a) u (b) -1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50\/10 - (-3)\/(-1). Suppose 5*r = -10, 2*j - g*r - 20 = -0*r. Factor 2 - 4*t - 11*t**2 + 6*t**4 - j*t**2 + 13*t**2 + 2*t**4 + 8*t**3.\nAnswer: 2*(t + 1)**2*(2*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 162.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 6 - 3)*(3 + 5 - 3) - 7 + 9 + 7 + 1 + 1 - 3 + (0 + 5 - 3)*(-3 + 1 + 0) - 2 + 4 + 0)*(2*d + 2 - 2)*(-1 - 2 + 1).\nAnswer: -64*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + (sqrt(1053) - (sqrt(1053) - (sqrt(1053)*1 + -1))) + sqrt(1053))**2 + -3*2*(sqrt(208))**2*4.\nAnswer: -776 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:43 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 123780 = 123715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -7, -7*u - 67*x + 72*x = -2*u - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -31*u + 54. Suppose u*n - 884 - 889 = 0. What are the prime factors of n?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1641 + 5?\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4\/2 + 19119*k**3\/4 - 8966101*k**2\/4 + 2014458*k - 447445 = 0. What is k?\nAnswer: 2\/5, 1\/2, 821, 1090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**7\/70 + i**6\/15 - 7*i**4\/24 + i**3\/6 - 64*i**2. Find the second derivative of r(s) wrt s.\nAnswer: -36*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 8:47 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135298 and 854.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -73. Let c be -4*((n - 13) + (-2)\/(-2)). What is the closest to -0.9 in -2\/5, -5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1339364 and -5?\nAnswer: -6696820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294683.\nAnswer: 103, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 3 = 0. Suppose 2*c - 30 = -3*c. Suppose 3*x - 3*r + c = 15, -x + 4*r + 3 = 0. Solve -a = -3*z, 14 = x*z - 8*z - q*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -291\/2, 2\/3, 5 in decreasing order.\nAnswer: 5, 2\/3, -291\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*c + 543*c - 905 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1710\/(-23180)*(-1)\/(-3))\/(42\/(-56)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3605)\/2163)\/(2\/(-6)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/25)\/(s**(-1\/11)*s*s))\/(s**(-20)\/s**30) assuming s is positive.\nAnswer: s**(13159\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 3*p - 38 = 0, p - 8528200 + 8528199 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -344, -688, -1032, -1376, -1720?\n\"Answer: -344*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(6)*5 - (sqrt(117) + -1).\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22531 and 54017.06055.\nAnswer: 76548.06055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(5\/11))\/x)\/x*x**(-10\/3))\/(x**3*x**(-2\/17)) assuming x is positive.\nAnswer: x**(-3793\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -927532.219 rounded to the nearest one hundred?\nAnswer: -927500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9432956750 rounded to the nearest 1000000?\nAnswer: 9433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aambaanjmb. What is prob of sequence aa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Let c(h) = -24*h - 33. Determine 4*c(x) - 132*u(x).\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2, 7, -13, 5515 in descending order.\nAnswer: 5515, 7, -3\/5, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31852567?\nAnswer: 31852567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56990, -57120, -57250, -57380, -57510?\nAnswer: -57640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 21. Let o(h) = -5*h - h**3 + 5*h + 8*h + h - g + 5*h**2. What is the units digit of o(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 6. Let x be t(-5). Let r(q) = 39*q + 5. Let p be r(x). Calculate the greatest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 2. Let s be f(-2). Suppose 4*h - 2 = -2. Put 1, s, h in decreasing order.\nAnswer: s, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 14*k - 56. Suppose -6*j + 2*j - 6 = 5*w, -3*w - 5*j - k = 0. Solve -4*h = -4*c - 8, -5*c - 19 + w = 2*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -19\/1352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(5\/330). Suppose 3*q - b = -4*z + q, q = 0. Suppose -2*s + 24 = 2*j - 0*j, 2*s + z = 3*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11225 - 6592 = 1017*f + 2523 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*m + 140*m + 102 = 0. What is the third derivative of -343 + m*i**3 + 678 - 335 + 64*i + i**2 wrt i?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -74. List the prime factors of x.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -903, 4, 5, 0 in decreasing order.\nAnswer: 5, 4, 0, -903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2870559229?\nAnswer: 23, 29, 148403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57961960)\/(-5568) + (-2)\/(-12). Let i = c + -10410. Let j = i - 9223\/696. What is the common denominator of -97\/4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48872 and 26240?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18 + 136*k**2 - 36 + 821*k**2 - 17 + 72 - 310*k wrt k.\nAnswer: 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940957063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*c - 1)*(-2*c + 3*c + c) + 2*c - 3*c + 4*c + 3*c**2.\nAnswer: -5*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -4, 0.3, -10 in decreasing order.\nAnswer: 0.3, 2\/7, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and -0.06644.\nAnswer: -0.093016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 48*c + 5. What is g(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.6891407 weeks?\nAnswer: 6946.538256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -2*z**2 - 89\/8*z**4 + 82 + 0*z + 11\/5*z**5 + 0*z**3. Find the second derivative of g(n) wrt n.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 14851 (c) 29 (d) 1\/115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -20*k + 188. Let q(m) = 481*m - 4511. Let u(f) = -6*q(f) - 143*w(f). Let l be u(7). Put 14, -5, -3, l in ascending order.\nAnswer: -5, -3, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 7*i + 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*2*(-2)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -404521 (base 8) in base 6?\nAnswer: -2505505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1854\/12)\/((8 - 38)*(-34)\/(-4)) and 89\/1040?\nAnswer: 17680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-3\/5)\/t)**(-1\/49)*(((t**1\/t)\/t)\/t)**33)**29)**(-36) assuming t is positive.\nAnswer: t**(16878348\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418123997.\nAnswer: 61, 2053, 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0538 - -0.5.\nAnswer: -0.5538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/120 + k**5\/12 - 13*k**4\/24 - 13*k**3\/6 - 1055*k**2. Calculate o(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-56) - (-51)\/(-7). Let q = m + 31. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 46 (b) 109\/7 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - z - 37, 2*u + 0*u - 22 = 2*z. Calculate the highest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Let o(a) = -1164*a. Calculate o(c(n)).\nAnswer: -1164*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6313426345 + 3?\nAnswer: -6313426342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1256345005 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-9 + 3)) + (174 + -167 - (-3 - -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, -3, 1, -1 in descending order.\nAnswer: 4, 1, -1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 44*p + 48 = 0. Solve 11*m - p = 15*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93550*s**3 - 1496805*s**2\/4 + 2993595*s + 40 = 0. Calculate s.\nAnswer: -8, -1\/74840, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 16*x = 14*x + 19, -x - 1 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/13)\/d)\/(d**8*d*d*d))**(-19) assuming d is positive.\nAnswer: d**(2983\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497178783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -1. Let i be (8\/m)\/(8\/(-100)). What is the least common multiple of 8 and (-8)\/i - 32\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7684 divided by -878?\nAnswer: 3842\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/2867 + -215753\/160552. Find the common denominator of -107\/20 and y.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*3\/156)\/(1\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700, -1384, -2050, -2698, -3328, -3940?\nAnswer: -4534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 22218?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 + 1.1. Let b = 0.6 + z. Sort -0.2, -1\/4, b in decreasing order.\nAnswer: -0.2, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + 21. Let k = -280 - -236. Let h = k + g. Solve 2*q + 2*a + 2 = 0, -h = -2*a - 0*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a - a0526?\nAnswer: -a04a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 65*l**2. Let u(s) be the first derivative of s**3 - 386. Give u(d(y)).\nAnswer: 12675*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1225 is divided by 401?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014076625768 rounded to five dps?\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose -t + s*t - 1087 = -3*g, t - g - 556 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3100\/19 or 163?\nAnswer: 3100\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 25*t**3 - 105*t**2 - 115*t - 40.\nAnswer: 5*(t - 8)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*z + 0)*((0 + 0 + 3)*(2 + 1 - 2) + 10 - 2 - 4).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h*h**0*h*h)\/h*h)**(-43)\/(h**(2\/5))**(-1\/3))\/((h**(-1\/2)\/h)\/(h*h**(-5)*h)*h**6*h*h**(-3)) assuming h is positive.\nAnswer: h**(-6611\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1841124376 to the nearest integer?\nAnswer: 42908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0 + 3 + -10. Let o = 5 - r. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q + 3. Let o(v) = -v + 1. Let m(w) = 5*o(w) - y(w). What is the units digit of m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*u + 298*u + 10*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050245 rounded to 6 decimal places?\nAnswer: -0.000502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 19*b**3 - 5*b**2 - 5*b - 1. Let v(g) = -39*g**3 + 11*g**2 + 11*g + 2. Let c(w) = -9*n(w) - 4*v(w). Give c(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let d(i) = i**3 + i**2 - i + 1. Let a(f) = 4*f**3 + f**2 - 2*f + 2. Let o(j) = a(j) - 3*d(j). Give o(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, -5, -4 in increasing order.\nAnswer: -5, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-559)\/129)*(0 + 36\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 126075152.\nAnswer: 378225456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -339\/70 + 57\/10. Is 1 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134*w**3 - w + 136*w**3 + 2*w**2 + 2*w + (-666 + w + 31 - 618)*(5*w**2 + w**2 - 4*w**2).\nAnswer: 4*w**3 - 2504*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -373, -567?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1160 and 8612?\nAnswer: 2497480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33895521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from zjqmqqmffwjmwqw?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-31757)\/7 + 6\/(-21). Let l = -173537 - c. What is l rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5 = 2*n. Suppose -3*p = -j - 3, -3*j - 2*p + n = -p. Suppose 5*a + 0*a - 135 = j. Calculate the remainder when 80 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102977819 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514444 = -4274*d - 2495*d for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*5\/(-15) - 123\/(-1). Suppose -4*f = -w + 7. Suppose 31*q - f*q = 7960000. What is q rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 33*s - 183. Let c be l(6). Which is smaller: c or 148\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5))**(-2\/35) assuming l is positive.\nAnswer: l**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - c - 0 - 12, -3*c - 3 = -x. Suppose 2*j + 1 = 2*n - 1, 2*j + 3*n = x. Suppose j = 3*g + 3. Let y(q) = -5*q**3 - 1. Determine y(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -395 + 417. Suppose -52 = -4*q - f*q. Suppose -4*d = 9 - 29. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2153.1 times -21\nAnswer: -45215.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6960.868561 + -0.168561. What is p rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:23 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/4 - 107455*z\/2 - 14488200 = 0 for z.\nAnswer: -214640, -270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 3, 4, 5, 6, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)*z**(-9)*(z*(z*z*z**(-2\/15))\/z)\/(z*z**8) assuming z is positive.\nAnswer: z**(-257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89.51 - -89.510008103. Round f to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from mrrpfdppdppsf.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 4. Let r(w) = -w - 17. Let n be r(-22). Let b be x(n). Solve -5*u - 2*m = 18, -4*u + 0*m = 4*m + b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -196 < -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**36)\/q**(2\/33) assuming q is positive.\nAnswer: q**(-1157\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/156*(-1)\/(2\/(-24)). Let h be g\/9 - (-52)\/12. Solve -h = w - x, 5*x = 9 + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782094840 to the power of 1\/3, to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.332, 5, 3, -0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 4:43 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10111111101000011 (base 2) to base 16\nAnswer: -17f43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 96 in increasing order.\nAnswer: -14, -4, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1491593434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 10*c + 95, -2*c + 42 = -5*z - 1 - 22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736097.\nAnswer: 3, 11, 52609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 x when three letters picked without replacement from {e: 7, x: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37880.14 rounded to the nearest ten?\nAnswer: -37880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 105 + 91 = -5*j, -2*j - s = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352550.\nAnswer: 2, 5, 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Let q be 15\/(-20) + 3\/b. Suppose -h = -q - 2. Solve -i - h = -0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613851 is divided by 1355.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 11*f + 7. Let m(u) = -u**2 - 2*u + 4. Let j be m(3). Let x be o(j). What is the highest common factor of 49 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73850 by 1055.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 + -1.6. Let k = j + -2.8. What is the third smallest value in -0.02, -0.5, k?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.102 * -4039136.\nAnswer: 411991.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 274, 265, 250, 229?\n\"Answer: -3*t**2 + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 296 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.089 + 2.011. Which is the second smallest value? (a) v (b) -5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*z. Suppose a = z*a - 5. Let q = -1932 - -1939. Solve 3 = -a*p - q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1 - f**2 - 23016*f - 2 - f**3 + 2*f**3 + 23017*f. Let a(b) = -10*b**3 + 6*b**2 - 4*b + 3. What is a(t) + 6*o(t)?\nAnswer: -4*t**3 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -76 and -4544994612?\nAnswer: 4544994536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 0, 7*b - 2*b + n = 420. Calculate the highest common factor of 60 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6064, -11994, -17926, -23860, -29796, -35734?\nAnswer: -41674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -522931*i**5*j - 57*i*j + 18*i - 4*j - 4 wrt i?\nAnswer: -10458620*i**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1106)\/(-316)*6\/14)\/(60\/25600*-8)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64770431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 63, 85, 103, 117, 127?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1646 + 5569. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11 + 14*s - 15*s - 28*s + 11. Let t(g) = 2*g + 48. What is t(k(z))?\nAnswer: -58*z + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxhxxjrxxxbxxb. Give prob of picking 1 b and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10999880 and 56.\nAnswer: 76999160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 228334, 228710, 229086, 229462, 229838?\n\"Answer: 376*d + 227958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201011 (base 3) to base 6.\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1436, 1442, 1452, 1466, 1484, 1506, 1532?\n\"Answer: 2*u**2 + 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, 773, 1713, 3049, 4793, 6957?\nAnswer: 9553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -5\/6, -1\/24, 5\/3?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.75555031 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 623.7 - 624. Sort -2, 1\/20, b in decreasing order.\nAnswer: 1\/20, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 6*i + 2. Let y be j(-3). Let v = -2 - y. Suppose 0 = v*a - 0*a - 80. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179891779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 26 - (-12 - -13)) + (8 - 0 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4602 = -2*g, g = -5*t + 4306 + 293. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 12. Let u(p) = -2*p - 10. Let n(s) = 5*o(s) + 6*u(s). Let z(l) = -12*l - 7*l - 15*l. Calculate z(n(i)).\nAnswer: 68*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5589)\/690)\/((-27)\/180). Solve 2*f + 25*f + t = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26656 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.550609 - 66.300075\nAnswer: -65.749466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 18 = -8*v - 198, 0 = 4*v - 8*q + 88 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7170 and 540.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127778*g**2*x + 206*g**2*y - 2*g*x*y - 7*g*x + 3*g - 310*x*y - 12*x + 2*y wrt g?\nAnswer: 255556*x + 412*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.849 and -4.\nAnswer: -27.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.6 + -2.6. Let z = -1.8 + 2. Which is the biggest value? (a) v (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-24)*(-969)\/285*24\/2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428158686?\nAnswer: 2, 3, 71359781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3\/2 + -1)*(-112)\/52?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -321, -2385, -7943, -18741, -36525, -63041, -100035?\n\"Answer: -291*w**3 - w**2 - 24*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(7) - sqrt(7))**2 + -4 + 0 + sqrt(49)\/sqrt(7))*-4.\nAnswer: -96 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j*x**3 + 8*j*x**2 - 2*j*x - 2*j + 489*x**3 + 3*x**2 + 6*x - 3016 wrt x?\nAnswer: 36*j*x + 16*j + 2934*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 121948 and -0.05.\nAnswer: -6097.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(300)*-3).\nAnswer: -sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281607499, -563215000, -844822501, -1126430002, -1408037503, -1689645004?\nAnswer: -1971252505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -379699 (base 11) to base 9\nAnswer: -1111827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 15*k + 3. Let w be t(-15). What is the first derivative of -672*v**3 + 12*v**4 + 1 + 672*v**w wrt v?\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/4 - 4*a**3\/3 + 3*a**2\/2 - 1. Suppose 4*d + 4*p = d + 4, 0 = -2*d - 4*p. Give g(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142450910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - l**2 - l + 1. Let n(d) = 2*d**5 + 8*d**4 + 12*d**3 + 2*d**2 - 2*d + 2. Let y(s) = -n(s) + 2*u(s). Factor y(i).\nAnswer: -2*i**2*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6099859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y - 67 = -5*q, 2*q - 38 = 4*y. Let h be q\/69*6\/15. Suppose -71 = 14*r - 85. Is h greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*b + 98 = -72, 2*l + 5*b + 49 = 0. Let z be (-8)\/(-2)*(-9 - l). Let u = z + -101. Solve -u = -r - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - l. Let q(p) = 4*p**2 + 2*p. Give 3*q(m) + 8*x(m).\nAnswer: 4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(2 + 3\/(-1)). Suppose -1 = b, -t*q + 3*q - b + 91 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10 = z, -3*w + 0 = -z - 2. Let p = 13 + 4. Solve -5*d - 13 = -f - d, z*d + p = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 399172, -18 in descending order.\nAnswer: 399172, -18, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15*f**2 - 2 + 4*f - 2*f - 4*f**2. What is the remainder when z(2) is divided by (-42)\/(-2) - (-7 + 4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546116 is divided by 180.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003637709 rounded to seven decimal places?\nAnswer: -0.0000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98484694*a**5 + 107971969*a wrt a.\nAnswer: -1969693880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469 + 288*a + 337*a - 367*a - 63*a**2 + 323 - a**3 + 4*a**3 = 0.\nAnswer: -2, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 12. Is 12 a factor of c(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 42629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -0.7. Let a = 31.92 + -32. Let r = a - 1.92. What is the second biggest value in r, -0.02, p?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 139 + 99 = 5*h, -2*h = 3*k - 112. What is the first derivative of h*v + 32 - 37 - 61 wrt v?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 23. Let y be ((-6)\/4)\/((-3)\/(-8)). Sort -5, y, h in descending order.\nAnswer: h, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16048?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/3 (b) -2 (c) -2\/9 (d) -0.2 (e) 1\/748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12071707, 48286832, 108645375, 193147336, 301792715?\nAnswer: 434581512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(1\/23))*t)\/t**(-4\/3)*(t**17\/t)**(1\/3) assuming t is positive.\nAnswer: t**(532\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g - 28*g + 3*d + 3 = 0, 4*g = -2*d - 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/488 and -51\/123208.\nAnswer: 7515688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 155225, 155139, 155053, 154967, 154881?\n\"Answer: -86*z + 155311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47411 is divided by 4739.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*t + 2*a - 3*a, 3*t = a - 33. Let l(u) = -13*u**2 - 4*u - 3. Let g(r) = -15*r**2 - 3*r - 2. Let y(z) = 6*g(z) - 7*l(z). Does 5 divide y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 7. Let r be n(-6). Solve 0 = 5*g + 3 - r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2021 - (14 + -5 - 4). Let x(r) = -9*r - r**3 + 2028 + 8*r**2 + 0*r - l. Calculate x(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Solve 0 = 3*u + q + 14 + 1, 0 = -2*u + p*q + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 281707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5884 and 95508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*f**3*g**2 - 5*f**3*k**2 + 294*f**2*g**2*k**2 - 2*f**2*g + 33*f**2*k + 4*f*g**2*k wrt k.\nAnswer: -10*f**3 + 588*f**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 47*k + 1185. Give n(-61).\nAnswer: 2039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let f(n) = -2*n + 4324. Calculate j(f(q)).\nAnswer: -2*q + 4324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**3\/6 + 7*k**2\/2 + k. Let w be q(7). Suppose -14246 = -162*u - 14570. Which is bigger: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/44 + 1\/2. Solve -2*t - 11 = -o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(5643\/(-38)))\/(56\/24)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 + 30*i**2 + 207*i + 270 = 0?\nAnswer: -3, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.5. Suppose 22 = -4*k - 58. Let m be (-8)\/(-6)*(-12)\/k. Sort m, 1, n in decreasing order.\nAnswer: 1, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1110100010011010?\nAnswer: 1110100010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-304)\/(-40))\/(1 + (-270)\/50)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, 4\/3, -2\/35, -1?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -m + 20, -m - 5*s - 2 - 8 = 0. What is the tens digit of (-10)\/m*(-16 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 + 7*q. Suppose -2*c + 11 - 7 = 0. Let g(f) = -c*f + 3*f - 2*f. Calculate g(k(x)).\nAnswer: -4*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 0 (b) -2\/25 (c) 66 (d) 2 (e) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + sqrt(3) + 2 + 4.\nAnswer: sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 68*u**2\/7 + 486*u\/7 + 180.\nAnswer: 2*(u - 21)*(u - 15)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(2\/137)*p**8\/(((p**(2\/3)*p)\/p)\/p) assuming p is positive.\nAnswer: p**(3431\/411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 13*s**2 + 11*s + 16. Let k be b(12). Suppose 0 = 4*p - 0*p + k. Sort p, 4, -5 in decreasing order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3323 - -322313020?\nAnswer: 322303031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c**3 - 39*c**2 - 6*c - 96. Let o(u) = 9*u**3 + 26*u**2 + 4*u + 95. Calculate -2*a(r) - 3*o(r).\nAnswer: -9*r**3 - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3947, -3946, -3945, -3944?\nAnswer: -3943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = n. Sort 0.04, n, 4.\nAnswer: 0.04, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -302 - -335. What is the remainder when 121 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 8*z - 7. Let k be ((-4)\/(-14))\/((1\/(-7))\/(-1)). Calculate the remainder when (k\/6)\/(-1*(-5)\/195) is divided by y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b - 3. Give g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 166 = -114. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.718353 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 4*f + 65, -4*d + 4*f = -70 - 10 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 11:03 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiyyyiiiihiyiyiyhh. Give prob of picking 2 y and 1 i.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2. Let v(k) = 44*k**2. Let t be v(1). Let i(a) = t + 6*a**2 - 44. Determine i(j(o)).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190344*l - 185822*l + 385857*l to q + r*l and give r.\nAnswer: 9691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - 2*l)*(-29*l**2 - 118*l**2 + 29*l**2) + 3*l**3 + 0*l**3 - 2*l**3.\nAnswer: -117*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 4. Give o(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1345.1 to the nearest ten.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-1)\/sqrt(11))**2 + (sqrt(19) - (-1*(sqrt(19) + 1 - sqrt(19)) + sqrt(19) + sqrt(19))).\nAnswer: -sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 94. Suppose -13*g - 32 = -a*g. Suppose -4*j + 148 + 102 = r, -g*r = j - 940. Does 39 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -644\/11 - -2131\/55. Let c = -101\/5 - g. What is the nearest to 1\/2 in -4, -2\/11, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/6)\/((8\/(-60))\/(-2)). Suppose 5*r + 2*l - v = 60, -115 = -5*r - 3*l. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (-4)\/(-34) - 9780\/(-102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, u: 4}. What is prob of sequence vuuv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5090 divided by 1?\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + a - 1. Let w(m) = -m**2 - 2*m + 8. Let o be w(-4). Let l(t) = o*t + 2*t + 178*t**2 - 2 - 176*t**2. Give -2*g(n) + l(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 6 + 10)*(-l + 4*l - 2*l) as i*l + a and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -494 * -0.098\nAnswer: 48.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 93.28323ms?\nAnswer: 93283230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/234 and -83\/78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9488 + -2?\nAnswer: -948a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 8238, 4, -91?\nAnswer: 8238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwgwwwgggggwwwwg. Give prob of sequence gww.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/5 - 101*l**3\/5 + 99*l**2\/5 + 101*l\/5 - 20.\nAnswer: (l - 100)*(l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -177\/445070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h - 38*h + 6*h + 8*h - 2 - 15*h.\nAnswer: -80*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -161300*x - 200. Let k be u(-4). Round k to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -2, 1134.3, 5\/3?\nAnswer: 1134.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(-6)\/1. Suppose -k*c + 20 = -7*c. Let q(r) = -4*r**3 - r. Let l be q(1). Is c less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/9 (b) 3\/2 (c) 0.1 (d) -2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, 2\/9, 5, 12 in descending order.\nAnswer: 12, 5, 2\/9, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 21072678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2780 - 2782. Let z = 0.9 + -0.6. What is the closest to -0.1 in -1, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**7\/7560 + j**6\/1080 + j**4\/12 + j. Let x(b) be the third derivative of u(b). Factor x(w).\nAnswer: -w*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 2 + 6*j + 2 - 5 in the form t*j + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 31 - 187)*(-12*f**4 + 30*f**4 + 35*f**4 + (-2*f**3 - 4*f**3 + 5*f**3)*(-f - 6*f + 5*f)) to a*f**3 + t*f**4 + w*f**2 + s + b*f and give t.\nAnswer: -10175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -40) + (12 - 5) + (-1 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and -51.2?\nAnswer: 50.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 52999, 53029, 53049, 53053, 53035, 52989?\n\"Answer: -c**3 + c**2 + 34*c + 52965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -21, u - 13*w + 3 = -10. What is the highest common divisor of 1266 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11\/1729, -0.4, -0.5, -2, -0.1, -1, 0.21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-9 - 12) + 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 3*r - 7*r + 3*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 398 + 114. Let f = x + -576. What is the second biggest value in f, 2\/21, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6979 - 7081 = 51*t. Let j(p) = -24*p - 9. Let s(d) = -d - 1. Let v(q) = -j(q) + 6*s(q). Calculate v(t).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -15 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 9. Suppose 4*q + 5*i - 35 = -0*q, -15 = -5*i. Solve r*p = -t + q + 7, -2*p + 2*t = -6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 7*x + 5*x - 3*x = -39, 12*r - 5*x + 59 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6141 is divided by 120.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (194\/(-38) - -5) + 40\/2185.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2376 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**3 - q - 1. Let m = -2946 + 2948. Determine v(m).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14860 divided by 8\nAnswer: 3715\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3664625234 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(12\/(-7))*(-81)\/126.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + j + 11 = -0*j, -5*x - 3*j = -23. Let z = 72 + -70. Suppose 4*k - 6 = z*y, -2*k + 5 + 2 = 3*y. Solve -k*p = -2*q + 10, x*q + 3 = -p + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1 + 2*s**2 - 26*s + 26*s - 2. List the prime factors of o(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*a - 6*o - 146, -2*a - 173 = -5*o. Round a to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55\/78 + 1\/26. Let m = -12602 - -12605. Which is the nearest to h? (a) m (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 6*p - 5. Let y be k(-4). Suppose 0 = y*h - x - 1706, 2*h - 4*x = -2*x + 1132. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 take away -1468336301.14?\nAnswer: 1468336478.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - q = 4*z + 5, 4*z + q - 40 = 0. Let u(f) = 3*f + 9. Let r(s) be the third derivative of s**4\/24 + 2*s**3\/3 - 3*s**2 - 3. Give z*r(o) - 4*u(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193677 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from ovdlvovrolvvollo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27.62302 * -5\nAnswer: 138.1151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-366)\/6 - (-12)\/(-96)*64?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78.1 + 420.1. Let z = t + -343. Which is smaller: 55 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i**5*i*i*i*i**(-2)*i*i\/(i*i**1))\/((i**(1\/6)*i)\/(i*(i**(-6)\/i)\/i*i)*i**(2\/13)*i*i*i**(-2\/17)) assuming i is positive.\nAnswer: i**(-6899\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let c(k) = -5*k + 4. Let o(i) = -5*i + 3. Let n(d) = -6*c(d) + 7*o(d). Calculate -n(q) - 6*r(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74334010 or -2\/3?\nAnswer: -74334010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 7*y**2 - 7*y - 4. Let l be 5*-4*(-6)\/15. Let d be b(l). What is the second derivative of -5*o + 6 - 6 + 2*o**3 - d*o**3 wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 5*b + 2*j, -8*b - 190 = -3*b - j. Suppose 0*h - 40 = 2*h + 2*g, 5*h + 92 = -3*g. Let q = h - b. Calculate the greatest common factor of q and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*m = 6, 31*c + 4037 - 3831 = 5*m for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 722*g**5 - 10236*g**3 - 12536968*g**2?\nAnswer: 43320*g**2 - 61416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11720153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 19. Suppose -l = -3 - 3. Suppose 0 = 3*o - l*o + 159. Calculate the remainder when o is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeegyyyyeyoyeeyeye. Give prob of picking 1 g and 1 e.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*u - 41 + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17499117187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 3. Let x(w) = w - 1. Suppose 0 = 2*l + o + 39, o - 36 = 3*l - 2*o. Determine l*x(r) - 6*m(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 443 - 438. Solve -4*o + 21 - h = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 10. Suppose -2*u + 5 = 3*q, -5*q - 30*u = -28*u - 11. What is the greatest common factor of d and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2310 divided by -66.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:34 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 8*h**2 - 5*h - 16. Let u be x(7). Let g(k) = 6*k**2. Let l(n) = -n**2 + 1. Determine u*l(p) - g(p).\nAnswer: -4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 166, 377, 674, 1057, 1526?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -552353 - -3155?\nAnswer: -546165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*k + 16, k = 4*l - l - 2. Let z = k + -5. What is the third derivative of -2*f**2 - f**z + 339*f**4 - 339*f**4 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3 = 6*m + 23, -5*m = 3*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 7. Let w(r) = -2*r - 12. Let h(s) = -5*s - 23. Let o(t) = -4*h(t) + 7*w(t). Give -4*o(q) - 5*x(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, k: 12}. Give prob of sequence kkk.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 18*c**3 - 37.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 11*l - 3*l**3 + 0*l**3 + 2*l**3 - 10*l**2 + 4. Let z be n(9). Let r = 17 + z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*t - 85*t + 260 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 152\/((15\/25)\/(15\/(-2))). What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 - -4 - (-99)\/12 and (0 + 2)*((-1428)\/64)\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75 - -95) + (0 - 13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.0136, 4\/7, 0.4?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4}. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54.999983 + -55. Round n to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r + 8. Let i(u) = -u - 1. Let p = -997 - -1002. Give p*i(a) + c(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2141.2 minus -0.05147?\nAnswer: 2141.25147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-150)*(-20)\/(-18))\/((-5)\/(-120))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.06 or -188930?\nAnswer: -3.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63676552 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 + 4 = 4*q, -q - 4*h = 6. Let m be (-2 + 0)\/(q\/(-6)). What is the remainder when 18\/(-4)*(-16)\/m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (26 + 2 + -1 - (-190 - -190)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 373 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6392703 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - -20. What is the highest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + u + 1. Let t be w(-2). Solve -t*k - 3 - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*q = 10, -q - 8 = u + 4*q. Solve 2*v + 0*v + 2*v + u*v + 3*v**2 + 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 16, o: 1}. Give prob of sequence njo.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v**3 + v - 13. Suppose 123 = n - 3*z + 111, -2*z - 23 = n. Let a(q) = 5*q**3 - 6. Calculate n*a(x) + 4*k(x).\nAnswer: -x**3 + 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, a: 3, m: 1, e: 4, l: 1}. What is prob of picking 2 a, 1 l, and 1 d?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -3*u + 20. Let w(v) be the third derivative of 0 + v**3 + v**2 + 0*v + 1\/8*v**4. What is w(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.626718 centuries?\nAnswer: 762.6718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*w - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-38))\/1 - 21824\/143792\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -1. Let g be ((-6)\/(-45))\/((-4)\/6). Put 1\/8, p, g in descending order.\nAnswer: 1\/8, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 16*w - 8 = 2*c - 79, -5*w = 5*c + 40 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 70*p + 1541. Give f(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by 64\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + n + 33 = 0, -80 = -5*h - 0*h + 5*n. Calculate the greatest common factor of 187 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*r**4 + 1 - 4 + 0*r**4 + 0*r**4 wrt r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -3*k**4\/4 - 8*k**3 + 135*k**2\/2 - 108*k + 868. Find z, given that u(z) = 0.\nAnswer: -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*u - 18*u - 11*u + 14*u.\nAnswer: -83*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-190)\/25)\/(-19))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100200021000 (base 3) in base 11?\nAnswer: 120104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -909*s**3\/5 - 8196*s**2\/5 - 21936*s\/5 - 14784\/5 = 0.\nAnswer: -4, -308\/303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2733258400.\nAnswer: 2, 5, 179, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 43676 and -7.\nAnswer: 43669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 223987 and 5?\nAnswer: 1119935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 3044 = -14*b - 4*q, -4*b + 6108 = 3*q. Does 153 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 20) + (1 - (5 - -7) - (3 + -2))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-4) - (2 - 50)\/(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 36 = -4*k, 3*k = 2*b - 5 - 3. Solve 2*h - 12 = -b*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30328251531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 20*g**2 - 8*g - 78. Let v be h(-10). Which is the third smallest value? (a) -2\/243 (b) -0.4 (c) 3 (d) v (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 11 = x, -21 = 3*x + 3*q + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10412 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -y + 4*w, -5*w = -4*y - 148 - 156. Let r = 71 + y. Let d be ((15\/(-3))\/5)\/(2\/r). What is the greatest common factor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 551 - 307. Let x = 223.125 - f. Let y = -0.025 + x. What is y rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:31 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l. Let c(g) be the second derivative of -17*g**3\/6 - 2*g. What is c(j(y))?\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/10 (b) 3\/4 (c) 5 (d) -77.8 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51549465*r**2 + r + 214323581 wrt r.\nAnswer: -103098930*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 13 = -11. Suppose 0 = -4*u + y + 256. Calculate the remainder when u is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.3. Let y = 1 + s. Let k = 5 + -10. Which is the second biggest value? (a) k (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/2)\/t)**(-33) assuming t is positive.\nAnswer: t**(231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from hhkcgchhkg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4 + 396409*v**3 + 39282843468*v**2 - 432164002140*v - 471446449200 = 0?\nAnswer: -198210, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 252570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*42\/(462\/(-341))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**5 + 10*k**3\/3 - 5*k + 8. Determine f, given that b(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*m + 7. What is the remainder when 17 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563584698.\nAnswer: 2, 3, 3719, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1566 (c) -143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 4, h: 2, t: 2, d: 2, e: 1}. What is prob of picking 2 m, 1 h, and 1 e?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3334.6 + 3335. Which is the nearest to o? (a) 0.3 (b) -2\/25 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1358 - -3.8642. Let b = 13.5 + -11. Let v = b - -0.5. What is the closest to 0.2 in -2, v, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*10.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2 + 2 - 82*m - 3 + 1. Let h be v(1). Let s = -31 - h. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3613 - -3617. Let o be (2 - (-1 + -1)) + -1. Solve -2*u + 3*p = o*u - 1, u - 7 = s*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823453962 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14251 (base 7) to base 8\nAnswer: -7503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11677.13mm to meters.\nAnswer: 11.67713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-5\/7)*(z*z**(-2)*z)\/(z**(-1)\/z))\/((z**(-1\/2))**27)**(2\/5) assuming z is positive.\nAnswer: z**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 7*j**2\/2 - 1. Let u be (2 + -1)*(1 + 5)\/(-6). Give t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -15. Suppose 4*n - 31 = 4*g + 5, -5*n = -4*g - f. Put 2, 3, g in decreasing order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozbobbnbbppnnpnaznzb. Give prob of picking 1 z and 1 n.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**3 + w**2 - 2*w + 1. Let p be a(1). What are the prime factors of (-2 - (-40)\/12)*p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)*k)\/k)**33*((k\/k**3)\/k)**(-8\/13))**(-6) assuming k is positive.\nAnswer: k**(5004\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2839946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*z - 4*o + 3, z + 12 = 5*o. Suppose 3*x + 31 = i + 7*x, x + 54 = z*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - ((-40 - -30) + -13) - (16 + -1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*d + 181*d + 9*d**3 + 167*d + 379*d.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 239267 or 727?\nAnswer: 239267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8173 (base 14) in base 4?\nAnswer: -1230212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, 1029, 4849, 12357, 24783, 43357, 69309, 103869?\nAnswer: 148267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5826 - 5832. Let g(q) = 3*q + 3. Let m(c) = 0 - 4 + 12*c - 15*c. Give s*g(v) - 5*m(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d - d - 3*d)*(2 - 2 - 1) + 0*d - 5*d + 3*d + 2*d + d - d)*(-4 + 0 + 3) + (32 - 26 - 17)*(2528 - 2528 + 230*d).\nAnswer: -2531*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26316000 rounded to the nearest one hundred thousand?\nAnswer: -26300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*w + 78 = 0, 0 = -4*q + 5*w - 33 - 71. Let c = q + 68. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 160888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74010794?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -18*o**2. Let q(b) = -8*b - 2. Let v(a) = 207*a + 51. Let l(s) = 153*q(s) + 6*v(s). Calculate z(l(n)).\nAnswer: -5832*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7227613397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 3*d + 4*d - 7 + d**2. Let c be o(-5). Let u be (c - 2)*3\/(-2). Solve -3*i - u = -18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1. List the prime factors of a\/((-8)\/(-6) - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*u**3 - 158*u**3 + 334*u**3.\nAnswer: 469*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -4926\/5 (c) 3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31502*z**4 - 43*z**2 + 11500508*z.\nAnswer: -378024*z**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**4 - 4*t**3 - 7*t**2 + 4*t + 17. Let l(a) = -7*a**4 + 5*a**3 + 8*a**2 - 5*a - 19. Let m(p) = -4*l(p) - 5*n(p). Differentiate m(k) wrt k.\nAnswer: -8*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215 + 132\/33 + 82\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 + 188. Suppose -4*u + 2*u = -20. What is the greatest common factor of h and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*w**6*y - 4*w**4 - 21*w**3*y + 2*w**2*y - 43*w**2 + 6*w - y wrt w.\nAnswer: 2160*w**3*y - 96*w - 126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 509994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 290, 1458, 4466, 10184, 19482, 33230, 52298, 77556?\n\"Answer: 145*k**3 + 50*k**2 + 3*k + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.5, -0.6, 3, 5\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 - 66. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8*p = -4*p + 7, -2*o + 22 = -4*p. Suppose -n - o = -6*n. Solve -3*j + 2*j = -n*w, 2*w = 5*j + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 5. Let f(w) = -61 + 91 + 15*w - 152. Let n be f(8). Determine u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 129 + 99 + f**2 - 113 - 115. Let b(o) = -191*o**2. Determine r(b(q)).\nAnswer: 36481*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57 and -0.4239?\nAnswer: -24.1623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, 586, 1222?\nAnswer: 1858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-9))\/(700\/(-600))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -975\/8 in 0.2, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/48)\/((54*6\/2916)\/((-5)\/(-15)))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/21 + -2\/21. Let x = -614.9915 + 615. Let i = x + -1.0085. What is the second smallest value in -23, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fggggggkkkykfygkggyg. What is prob of picking 2 y and 1 k?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**7\/560 - p**6\/240 + 2*p**3\/3 + 6*p**2 - 20. Let a(i) be the third derivative of g(i). Find v such that a(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1001111010100001?\nAnswer: 1001111010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -56. Let l be (-230)\/(-8) + 5\/p. Suppose -119 = -5*b - l. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**5\/60 + 5*g**2\/2 + 36. Let o(r) be the second derivative of n(r). Calculate o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183 - 176. What is the derivative of -14*v**3 + 142 + 9*v**3 + 14*v**2 + g*v**3 wrt v?\nAnswer: 6*v**2 + 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -385*s - 4821. What is the ten thousands digit of j(-111)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11792 is divided by 383?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -87*g**3 + 2*g**2 - 2*g + 3. Let p(l) = 174*l**3 - 5*l**2 + 5*l - 7. Determine -2*p(y) - 5*v(y).\nAnswer: 87*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 408*d - 10. Let z(m) = -15097*m + 372. Determine 186*a(q) + 5*z(q).\nAnswer: 403*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 9*i**2 + 4*i. Suppose -9 - 47 = 7*c. Let d be n(c). Let a be ((-9)\/(-12))\/((-18)\/d). Solve -a*k - 2 = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/((-12)\/(-48)*-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 + 0.3. Suppose 3*n - 21 = 4*t - 3, 5*t = -5*n + 135. What is the fourth smallest value in 0, n, 0.5, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38523 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 104\/(-182) + (-212)\/(-28) + -5. Let b(k) = 3*k**2 - 5*k + 9. Determine b(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62491.12 litres?\nAnswer: 62491120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -79. Let w = 56 + y. Let n = 15.4 - w. Sort 1, -2\/7, n, 3\/8 in ascending order.\nAnswer: -2\/7, 3\/8, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -d - 3, -3*d + 7 - 9 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 24 = i, 6*h - 4*h + 647 + 478 + 99 = 152*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101669 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 864948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4050*o**2 - 2193*o**2 - 2622*o**2)*(-4 + 0 + 6) + (-3*o + 5*o - o)*(-2*o + 0*o + o).\nAnswer: -1531*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 12*q - 2. Let v be z(-12). Let h be v\/4 + 21\/6. Solve 4*n + h = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**3 + 421*r**2 + 192*r**3 - 285*r**2 - 137*r**2.\nAnswer: 172*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3. Let a be (-16)\/(-6)*t\/(-20). Suppose 0 = 5*x + 1 + 4. Which is bigger: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 6)*(0*q - 3*q**4 + 0*q) + 3*q**4 - q**4 - q**4 + (2*q - 5*q + 2*q)*((-2 + 2 - 2*q**2)*(-11*q + 22*q - 46*q) - q**3 + 12*q - 12*q).\nAnswer: -53*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = a + 4*a. Let y(b) = -6*b - 1 - 6 + b**a - 3*b**2 - 2*b**2 + 1. Let q be (9\/2 + -3)*4. Calculate y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5148783, 20595102, 46338959, 82380354?\nAnswer: 128719287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 102 = 9. Let f = p + 32. Let y = 1\/6 - 31\/78. Is f greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-5)*38400\/72. Suppose -5*w - i = -5*z, -3*w = -4*w + 5. List the prime factors of z.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-5))\/((-1)\/30). Let f = l + 91. Suppose -4*n + 293 = -f. Calculate the highest common divisor of n and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let n(y) = 0*y**3 - j*y**3 - 1 + 5. Let z(i) = i**3 - 2. Let v = 16 - 21. What is v*z(f) - 3*n(f)?\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/2, -1, 19.6, 10\/101, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddgj when four letters picked without replacement from {j: 4, d: 11, g: 3}?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:18 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 5*z**4\/4 + 1040*z**3\/3 - 2095*z**2\/2 + 1050*z + 1210. Solve j(i) = 0.\nAnswer: -210, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in centuries?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 1540*c + 925*c - 1690*c to the form s + r*c and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + 3 + (sqrt(832) - sqrt(832)*-1) - (1 + sqrt(832) + 1 + sqrt(832) + 2)))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -36 (c) 1.1 (d) -1\/2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**3 + c**2 - c - 1. Let y be v(1). Let o = -1 - -3. Put y, o, -1, 3 in descending order.\nAnswer: y, 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 - 147\/(-14) - (2 + (-73)\/2). Solve -u*f - 88 - 56 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 c, and 2 f when four letters picked without replacement from qefcef.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.666099 + 299.332531. Let r = -317 + g. What is r rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 2, h: 2}. Give prob of sequence jq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 173083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -44. What are the prime factors of 7248\/40 + 1\/u?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1024)\/sqrt(8).\nAnswer: 5 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 594080 to the power of 1\/2, to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 2, e: 2}. What is prob of picking 1 m, 2 f, and 1 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -73. Sort -3, 2, h, -1.\nAnswer: -3, -1, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r + 5*n = -58*r - 59, 0 = 5*r + 4*n + 54 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/4 (b) 1\/3 (c) -1 (d) 0.1061 (e) 0.5 (f) 1 (g) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -64*d**3 + 18*d**2 - 5*d - 10. Let b(m) = 65*m**3 - 17*m**2 + 4*m + 8. Let f(y) = -5*b(y) - 4*u(y). What is the third derivative of f(s) wrt s?\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*2796*(-4 - (-225)\/54) is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, 50.\nAnswer: -4, 3, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3430, 6832, 10206, 13552?\nAnswer: 16870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = n - 5*x, 2*n = -89*x + 91*x - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x - 3 - 8 - 3*x**2 - 1 + 4*x**2. Let d be z(10). Let j = -22 + d. What is the greatest common divisor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p**3 - 66*p**3 - 59*p**3 + 266*p**3 - 66*p**3.\nAnswer: 39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 8*v**2 - 4*v + 6. Let j be t(-7). Let x be 2\/(-4)*(-2 - -2). Let g = x - j. Calculate the highest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17407230 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1808, 3617, 5424, 7229?\n\"Answer: -n**2 + 1812*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/12 and 107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 25572130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -200489463.991?\nAnswer: -200489452.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 11) to base 6\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 2*d - 16. Calculate g(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1513 (b) -47 (c) -7\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*-1*((-12)\/(-10) - 1). Let i = -230 - -231. Which is the nearest to i? (a) -0.3 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = -30. Let g(v) = v**3 + 21*v**2 + 29*v + 26. List the prime factors of g(y).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*h = -14, 10 = -4*c + 4*h - 2. Let s(g) = -g**3 + 4*g**2 + 3*g - 7. Let d be s(5). Is c - (d + 1*-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 1134094?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8235222*x**2*z + 3578*x*z - 359*x wrt x.\nAnswer: -16470444*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 14) to base 15\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -0*a + 4*a + v, 0 = -3*a - 3*v - 33. Let w = a + 9. Suppose -g = -0*g - 2. Calculate the remainder when g is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 309, 1537, 4585, 10359, 19765?\n\"Answer: 151*r**3 + 4*r**2 + 159*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 21*k + k. What is the remainder when 159 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150555 (base 6) to base 16\nAnswer: 3887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73.03 - 65.03. Which is the third smallest value? (a) u (b) 0 (c) -7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*c - 19*c**3 + 9*c**2 + 5*c**2 + 24*c**3 wrt c?\nAnswer: 30*c + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7310099 times 76\nAnswer: -55.5567524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4123554101 + 3?\nAnswer: -4123554065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4732452*t**4 + 3355031*t?\nAnswer: 56789424*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r - 78482 + 6*r + 78593 to the form a*r + g and give g.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 119? (a) -2\/5 (b) 0.2 (c) -0.5 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3151, -21, 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141608.1 centuries in decades?\nAnswer: 1416081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 34, 29, -2, -65, -166, -311, -506?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 55*z**2 - 30*z - 49. Let c be j(-28). Solve -4 = -q - 5*p, -3*p + 0 = -4*q - c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43893.98 kilometers to micrometers.\nAnswer: 43893980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 7 - n - 4*n**2 - 4 + (-2*n - 5*n + 5*n)*(0 + 0 + 2*n).\nAnswer: -8*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9086 and 3630088?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21881535 (base 9) in base 16?\nAnswer: -a219c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1, 1657, 9, -1, 2.4, 0 in descending order.\nAnswer: 1657, 9, 2.4, 1, 2\/13, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*i - 51*i - 5*i**4 + 2*i**3 + 23*i + 2*i**2 in the form u*i**4 + o*i + q*i**3 + x*i**2 + k and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58202?\nAnswer: 2, 29101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 - 690 = 867*y + 1512 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -26. What is the derivative of 8*s**3 + 0*s**3 + 0*s**3 - w wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 332355.\nAnswer: -88\/332355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/5407 and 48\/5.\nAnswer: 27035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 42*t + 23 + 2*t**2 in the form w + d*t + q*t**2 and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(2\/(-14)) + (-524923)\/(-76342) and 40\/171.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/17 (c) -573 (d) -4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.9174ng in tonnes?\nAnswer: 0.0000000000001479174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 4. Suppose 0 = -2*c - 2*c - 120. Let l be (m\/(-4))\/((-2)\/c). Solve 0*q = -5*q + l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 6*o**2 + 7*o + 7. Let i be l(7). Let r = 11 - i. Suppose 121 = -x + 137. Solve r*f = -0*f + x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463623 (base 8) in base 4?\nAnswer: -212132103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 3*b - 8*b + (-2 + 2 + 2)*(2*b - 3 + 3) - 3*b + 0*b + 0*b + 0*b - b + 2*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 - 27*w - 44. Suppose -2*o = -2*x - 2, 8*o - 5*o + 2*x = -12. Let y be t(o). Is 3.1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*t - 10, -188 = t - 186. Suppose n = 3*k - 3029 - 2449. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142821 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/25549, -3, 1\/6, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -125.\nAnswer: -21\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 y when four letters picked without replacement from {y: 5, a: 13}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1 = 3*l, 3*w = -5*l + 7 - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-4)\/(-4*2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2038 + 4089 - 2051 + 6*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.007 + -0.053. Let c = 0.2 + -0.06. Let r = c - n. Sort -0.3, 1\/3, r in increasing order.\nAnswer: -0.3, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.12, 9019, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 912 and 15808.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/87 (b) 15\/2 (c) 0.1 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/148 and 39\/1964.\nAnswer: 72668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 332*k**2 - 20 - 142*k**2 - 75 - 6*k**3 - 188*k**2 in the form v*k + y*k**2 + t*k**3 + c and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/8 and ((-198)\/(-4))\/((-6)\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77 (base 16) to base 4.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -12. Let j = 6 - i. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**3\/8 - 9*n**2\/8 + 27*n\/8 - 44. Suppose o(p) = 0. What is p?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**5 - p**4 + 17*p**3 + 3*p**2 + 4080*p + 167?\nAnswer: 60*p**3 - 12*p**2 + 102*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*f)*(-21 + 21 - 6*f**3 + (3*f**2 + 0*f**2 - 5*f**2)*(2*f - 2*f - f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 81*p - 134. What is the hundreds digit of z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -459*n*w**3 - 2*n*w**2 + 39*n*w - n - w**3 wrt w.\nAnswer: -2754*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19462.377 months to years.\nAnswer: 1621.86475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/(-3) + 2)\/(7\/21). Suppose 4 = 5*l - 6. List the prime factors of b*(-4 - (-1)\/l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klljlkklkjkklk. What is prob of picking 2 l?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - r - 2. Let c(v) = -10*v**2 + 42 + 48 + 401*v + 4*v**2 - 15*v**2 - 38*v. Let p(h) = c(h) + 18*g(h). Solve p(y) = 0 for y.\nAnswer: -2\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 2834, 9577, 22710, 44363, 76666, 121749, 181742?\nAnswer: 258775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828, 1666, 2506, 3348, 4192?\nAnswer: 5038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4205540 (base 6) in base 15?\nAnswer: -40440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284401, 1137866, 2560385, 4551964, 7112609, 10242326?\nAnswer: 13941121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 271 + -330 + (26 - -1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137514689 a multiple of 1177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144209697 to the nearest integer?\nAnswer: 12009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/27 - 1600920\/(-81)*2\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 337 - 2575. Calculate the highest common divisor of k and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from ooeoeawoweeceeewweee?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 3 + 12*y - 9*y - 3*y. Let g(b) = b**3 - 5*b - 5. What is -3*g(v) + 5*m(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1776, -7140, -16060, -28536, -44568, -64156, -87300?\nAnswer: -114000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 120*y - 34*y + 3 - 28*y + 2*y**2. What is u(-19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 1\/7 (b) 10 (c) -8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 649021864 a multiple of 4331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2671 in 4, 2\/7, -2\/13, -0.01, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-222))\/((-2171)\/(-1002))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-7)\/(-7)*(-1108)\/8. Suppose -2*u + 429 = -1055. Suppose -5*m + u - x = 0. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2830\/1698*(1\/(-25) - 0) and 137\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76688.\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 a factor of 21937982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**3 + 3*c**2 + 9*c - 2. Let w(q) = 7*q**3 + 3*q**2 + 10*q - 3. Let i(m) = -6*g(m) + 5*w(m). Suppose 0 = -3*l - 2*l - 15. What is i(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 15*h**8\/14 + 13*h**6\/30 - 20*h**4\/3 + 3*h**2\/2 - h + 601. What is the third derivative of j(m) wrt m?\nAnswer: 7200*m**3 + 312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -25\/3 (b) -2\/15 (c) 0.3 (d) 0.1 (e) -3 (f) 0.89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141519\/4 + -33975. Let j = 1406 - s. Suppose -d**3 - 11\/4*d**2 + 1\/2 - j*d = 0. What is d?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -213, 1\/15, 3?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2658*u = 4*x - 2659*u + 19, 3*u - 202 = 41*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 4 = m. Let n = 39 + m. What is the remainder when (10\/(-30))\/(n\/(-207)*-1) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-5) + (-4)\/(-20). Suppose -7*s + 33 = -4*s - 3*b, 9 = -i*b. Solve 0 = -5*q + 3*q - s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 6*d. What is the units digit of -116*3\/(-6) + d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -34088512?\nAnswer: -34088503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -131?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 5*n - 890 = 0, 4*d + 5*n - 910 = 0. What is the smallest common multiple of 30 and d?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from taltjuiuiutia?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9226, 9229, 9234, 9241, 9250?\nAnswer: 9261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1087718 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 3*a - a)*(-68*a**3 + 114*a**3 + 104*a**3) in the form m + z*a**2 + h*a + l*a**4 + v*a**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 28. Put 4, -0.1, u in descending order.\nAnswer: 4, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 2*w**2 + 4*w + 3 - 12. Let p be f(-7). Solve 0*y + 3*y - p = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ccvcccovvzqcqvvocv.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 + 3*q**2 - 2 + 4*q**2 - q**2 + 4*q - q**3. Let g be h(4). Let x be (20\/(-25))\/(g\/5). Solve 5 = -d + 3*f - x*f, 3*d - 1 = -5*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13688*i**2 - 52687*i - 1?\nAnswer: 27376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z - 5*z)*(-5 - 13 + 70).\nAnswer: -104*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 26. Let z = x + 3. Let h = -7 + 12. Sort h, 1, z.\nAnswer: 1, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.6 - -35.6. Which is the closest to 2\/5? (a) 0.1 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 2 (c) 599\/2 (d) 1\/101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/24*4)\/((-21)\/49*14\/(-16))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*s = -2, 10 = -d - 5*s - 1. Let m = -16 + 34. Calculate the remainder when m is divided by 1*(d - 1) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -10. Let b be u\/(-18) - 712\/(-36). Suppose -2*t + b = 3*h, -4*t + 1 + 11 = -h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1199.97 + 1200. Which is the third biggest value? (a) p (b) -2\/3 (c) 142 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001 (base 2) in base 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (-2 - (90\/(-20) + 5)*-10). Factor 6*v**3 + q*v + 15\/2*v**2 + 0 + 3\/2*v**4.\nAnswer: 3*v*(v + 1)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -821, -1641, -2461, -3281, -4101?\nAnswer: -4921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 8*q**2 - 2*q**2 + 2)*((-2*q + q - q)*(-2*q**2 - 3*q**2 + 3*q**2) + 2*q**3 - q**3 + q**3).\nAnswer: 18*q**5 + 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/4 + 2429045*g**2\/4 + 10930669*g\/2 + 8501626 = 0. Calculate g.\nAnswer: -2429036, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474833 is divided by 12175.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-24))\/(2*(-6)\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109727314?\nAnswer: 2, 43, 1275899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2769 - 2770. Which is the nearest to 8.7? (a) -9 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 7*w - 3. Let o = 15 - 8. Let c be s(o). What is the least common multiple of 36\/(-3)*1\/c and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2031 + 2031 + 2*c. Let t(x) = 14*x. Let u(z) = 5*z. Let o(g) = 4*t(g) - 11*u(g). Give k(o(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*t - 0*t, 5*t - 2*d + 3 = 0. What is the common denominator of 1 - t*29\/2 and (-234)\/48 + (-1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2333040 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11 + 11*j - j**2 - 11*j + 0*j**2 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -15*w**5\/8 - 79409*w**4\/8 - 99312519*w**3\/8 + 15520538049*w**2\/8 + 7312585423*w\/4 - 1040874549 = 0.\nAnswer: -2717, -4\/3, 2\/5, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1011513, -4045908, -9103233, -16183488?\nAnswer: -25286673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**2. Let w be d(-1). Suppose w*v - 4*v = 20. Suppose f = -c - 2*c + 4, -c = v*f - 90. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -279 (c) 3 (d) 0.3 (e) 1\/6 (f) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (34 - 54) + 25 + (-51 - -2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*l - 2*k**3 - 7831*k**2*l + 2*k*l - 176341*k wrt k.\nAnswer: -12*k*l - 12*k - 15662*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26351930*g - 127982522 wrt g?\nAnswer: -26351930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12699 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 19. Let g(l) = 4*l - 37. Let n(r) = 6*g(r) - 11*j(r). Find the first derivative of n(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - -12) - (64 + (-54 - 16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22.5 and 5499.463.\nAnswer: 123737.9175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*t**2 + 2209\/3 - 94\/3*t.\nAnswer: (t - 47)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*w - 3*v, 113*w - 111*w - v = 16 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90056 is divided by 2814.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 95872 divided by 23968\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4688449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 61.17839 millilitres?\nAnswer: 0.06117839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -941 (b) -1675 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-four fifths of a meter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 9 - 18*o + 6*o**3 - 14*o + 30*o + 13 + 2*o**2 - o**4 as r + i*o**2 + g*o**3 + z*o**4 + a*o and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*d**2*g**2*x**3 + 4*d**2*g**2*x**2 + d*g*x**2 - 9*g**2*x**3 wrt x?\nAnswer: 72*d**2*g**2 - 54*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from kkkffkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r + 4. What is t(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -96\/7 (b) 110 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1741046082 + -4.1741. What is g rounded to 7 dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10528.146022 plus -2.5?\nAnswer: 10525.646022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/5720)\/(2\/5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 4, j: 3, z: 1, o: 1, i: 5}. Give prob of sequence uo.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -943, -3783, -8517, -15145, -23667?\n\"Answer: -947*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -12971436.\nAnswer: -1\/4323812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**4\/6 + 38*b**3\/3 - 35*b**2. Let l be u(23). Which is greater: -61\/4 or l?\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 13. Suppose -o = -6*c + c + 62, 3*c = 5*o + l. What is the remainder when 49 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -68*t**2 - 22*t + 36. Let s be g(16). Let i = -319127\/18 - s. What is the common denominator of i and -69\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 13 - 1829*o - 27 - 2 + 1825*o.\nAnswer: -4*o - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 832 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -34. Let j be (-1)\/((-21)\/(-9) + b). Sort j, -0.2, -2 in increasing order.\nAnswer: j, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.672432 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.1. Let f be (15\/(-12))\/(21\/(-308)). Let g = 19 - f. Which is the second biggest value? (a) j (b) g (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {k: 2, w: 2, b: 8}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24\/9*((-10)\/2)\/(-40)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, a: 1}. What is prob of sequence oa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3561047282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 83 = -35. Suppose 15 = 5*c - 2*c, 4*u - 2*c + 14 = 0. Let k = u + 3. Solve k*q + y = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 - 58. What are the prime factors of o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 15*g**2 - 22*g + 39. Give o(13).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09044 and 0.0762?\nAnswer: 0.01424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = -51. Let s = k + 33. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2. Let r be (-1 + -2)\/(9\/(-6)). Let t(y) = 9*y + r*y - 12*y. Give k(t(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 46 - 65)*(4 + b - 4 + (3 - 3 + 2*b)*(-3 + 0 + 5) - b + 3*b - 4*b).\nAnswer: -240*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/3 and -1\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 471\/(-16485)*(0\/2 + 5)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 27. Is 2 a factor of 26 - 23 - (-9 + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85676574101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*a + 138425 = -40*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-13)\/(-78)). Suppose -2*f + 7*f = 4*i - 34, v*i = 4*f + 26. Solve -i*g + 25 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 1\/5 (b) -6 (c) 2\/269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/2)\/k*k**7\/k*(k**2)**(-2\/13) assuming k is positive.\nAnswer: k**(161\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 19 = -7*x. Let b = -88 - -90. Solve x*k - b = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -173 + 1288370?\nAnswer: 1288186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j - 37*j - 14 = 0. Suppose -10*q + 58934 = j*h - 12*q, q - 29475 = -h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*h - 275, 2*b - 3*h + 279 = -3*b. Let z = -49 - b. Solve 20 = -4*j - 5*a, -a - z = -5*j + a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a decade in months?\nAnswer: 1590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -2\/19, -18?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91384*l - 45650*l - 45733*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + q = -0*q - 9, 0 = 4*g + 2*q - 10. Differentiate -7*j - g + 0 - 1 wrt j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = w + q, 13*w - 8*w - 2496 = 3*q. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*k = 289, 2*k + 1 = 7. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*s = 46, 0*s = 2*l - 5*s + 47. Let r = l - -12. Let u = r + 20. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/4 + 1379349*d - 1902603663801 = 0. What is d?\nAnswer: 2758698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4798, 4802, 4806, 4810, 4814, 4818?\nAnswer: 4822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -1.543, 35\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - 50. Calculate the highest common factor of 21 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/3 + -3 - (1 + 2). Let i(r) = 5*r + 5. Let y(a) = -2*a - 2. Calculate u*y(q) - 6*i(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421 - 430. Let l(g) = 16480*g**2 - 7*g + 57. Let u be l(s). Round u to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-9)\/5*(-23)\/((-207)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*m - 4715 - 3493. What is the greatest common divisor of m and 722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -995049503277.\nAnswer: -995049503276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:10 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2899761?\nAnswer: 3, 19, 50873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 20. Let j be 3 + (4 + -4 - 4). Sort 5, j, i.\nAnswer: j, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from onnoooodnrdnnnonon?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)\/(b**10\/b))**(-8\/7))**(2\/11) assuming b is positive.\nAnswer: b**(208\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, k: 6, q: 1}. Give prob of picking 3 t.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51698 - 2894989\/56. Calculate the common denominator of (-5)\/14*(-2208)\/840 and t.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose -y - 3*f = -2*y + 171, -3*y = -z*f - 531. Let o(p) = 282*p + 609. Let u be o(-2). Calculate the greatest common divisor of u and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4132273035 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 113726292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Suppose 5 = -2*q + 3*s, -4*q - 4 - 1 = -5*s. Let g = 9 - q. What is the third smallest value in d, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -359*l**3 + 13*l**2 + 26*l - 327. Let g(x) = -90*x**3 + 3*x**2 + 6*x - 82. Let v(t) = 26*g(t) - 6*r(t). Differentiate v(m) with respect to m.\nAnswer: -558*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Calculate the common denominator of (-61)\/n*(-7 + 6) and ((-104)\/10)\/(18\/(-10)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7325 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 9:25 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 52.00000015. What is c rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, 10, -2, 24, 4 in decreasing order.\nAnswer: 24, 10, 4, 2, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 26380?\nAnswer: 52760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h. Suppose 15*w = -l + 13*w + 204, 0 = -l + 2*w + 184. Let x = l + -193. Calculate y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1868 and 16?\nAnswer: 7472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**2 - 81*a + 440. Let i be h(-100). Round i to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/4626 - 12208\/2313. Find the common denominator of 47\/12 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22280504, -22280517, -22280530, -22280543, -22280556?\n\"Answer: -13*w - 22280491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:05 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1401.23328 + -1401. What is f rounded to 3 decimal places?\nAnswer: 0.233","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1117602838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1092077 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-10))\/(17\/476*-7*59)?\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3.01012, -4, -3, 5, 0, 7, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -26 - (-3 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(11\/7)\/(k*k**(-9\/4)\/k)*(k**(-1\/10)\/k)\/(k*k**(-27)))**(1\/32) assuming k is positive.\nAnswer: k**(4021\/4480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 3.9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) -47\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -127 + 31*d**2 + 127. Let n(w) = 2*w. Calculate h(n(x)).\nAnswer: 124*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 101688.\nAnswer: -4067.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 14936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 9. Give h(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phhhccppecpgpc. Give prob of sequence cgp.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 4*m**2 + 7*m + 3. Let i be v(-3). Let l(j) be the first derivative of i*j**2 - 2\/27*j**3 + 5 + 0*j. Suppose l(c) = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 5. Let p(b) = -b**3 - 5*b**2 + 6*b + 5. Let x be p(-6). Let f(d) = d - 5. Let j(i) = x*f(i) + 6*t(i). Let m be j(-4). Is -1 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 4115*j**4\/4 + 1229*j**2 + 400. Find the second derivative of w(h) wrt h.\nAnswer: 24690*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 33*j - 2. Let i(y) = 2*y - 107. Give i(v(o)).\nAnswer: 66*o - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 1252*a**2 - 55884*a + 492048.\nAnswer: -(a - 1206)*(a - 34)*(a - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l - 15. Let h = 84 - 144. Let u = h + 123\/2. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1. Suppose 3*c + 27 = -q - 0, 3*c - 5*q = -27. Let j be (-28)\/21*3\/2. Let b(a) = -a**3 - 4. What is c*h(n) + j*b(n)?\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/133*63)\/((-1)\/(-41)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**5\/20 - w**4\/4 - w**3\/2 + w**2 + 2. Let k(l) be the second derivative of q(l). Factor k(a).\nAnswer: -3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935355982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*w - 3 = -1, 2*h + 3 = -5*w. Let b be (-18)\/(h + 1) + -1. Solve -20 = -4*l - 5*z + z, b*z = 3*l + 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m**2 - 25*m - 4. Let z(c) = -3*c**2 - 10*c + 2. Let o(a) = a**2 + a + 2. Let s(u) = -2*o(u) + z(u). Give -13*s(f) + 6*v(f).\nAnswer: -f**2 + 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 945 divide 609727230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6)\/(1\/(-4)). Suppose -1265*v + 1251*v = -56. Factor 12*z**2 + 20*z + v - 21*z**q + 18*z**2.\nAnswer: (z + 2)*(9*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from ymvvmmvrmvvkmhmv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 24*r**2 + 139*r - 28. Give p(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1410 - -1004?\nAnswer: 2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 2*b**5 + b**5 + (b**3 + 2*b**3 - 4*b**3)*(-b**2 + 2*b - 2*b).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 155*h**2 + 1654*h + 89. Determine j(-87).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:26 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(180)\/sqrt(6) - sqrt(30))\/(sqrt(864)*-1).\nAnswer: 7*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 98.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 76*h + 1228. Let g be l(-20). Calculate the highest common divisor of 564 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6183.981 years to months.\nAnswer: 74207.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24386844?\nAnswer: 2, 3, 2032237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 25136 - 76712. What is h rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 413390485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 661.98 - 646. Let h = -320.28 + k. What is h rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10204, -20374, -30512, -40618?\n\"Answer: 16*p**2 - 10218*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7486*p = 8152*p - 51282 for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169021 by -173.\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2049717 or 2049713?\nAnswer: 2049713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 139773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((207\/(-18))\/23)\/(3\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 470 + -12878?\nAnswer: -12408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/(-12)*((-320)\/6)\/2. Suppose 0 = 4*s - 9*s + 190. Let x = q - s. Calculate the least common multiple of 14 and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3\/2 - 129*d**2\/2 - 135*d = 0.\nAnswer: -2, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194.114 + -194.214. Let d be -2*2\/8 + -1. What is the smallest value in 5, d, -17, v?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 444 = -4*i, -i + 56 = -3*n - 271. Let r be (430\/n - -4)*-4. Let l be ((-2)\/(-2))\/((-2)\/(-2)). Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayyydayayyayyaayd. What is prob of sequence dayd?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -5*x - 3*k, -x + 3*x - 54 = -4*k. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/11 + 2*i - 20\/11 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(1656*t - 384*t**2 - 1656*t) - 3*t**2 + 4*t**2 + t**2 + t + (-2*t + 4*t + 0*t)*(-1 + t + t + 0).\nAnswer: -762*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518.323 - -307.\nAnswer: 825.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**7\/231 - 13*i**6\/165 - 19*i**5\/110 + 145*i**4\/66 - 16*i**3\/3 + 64*i**2\/11 + 103*i. Factor u(z).\nAnswer: -2*(z - 1)**3*(z + 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32164 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 52*b**2 - 64*b - 112.\nAnswer: 4*(b - 2)*(b + 1)*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 408.608 + -410. Let c = 1.4 + m. Let x = c + -0.00849. What is x rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.7916 + -0.5096. Round r to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -75, -106, -107, -66, 29, 190, 429, 758?\n\"Answer: 2*p**3 + 3*p**2 - 54*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/(-15))\/((-24)\/(-40)). Let g(q) = -q**3 + 2*q**2 + q - 4. What is g(t)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5*v - 6 = u, 0 = 4*u + 4*v - 24. Let l(f) be the second derivative of 0*f**u - f + 0 - 1\/27*f**3 + 1\/54*f**4. Let l(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 10) to base 9.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7 + 6\/7*s**4 + 18\/7*s + 22\/7*s**3 + 30\/7*s**2.\nAnswer: 2*(s + 1)**3*(3*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5198759?\nAnswer: 23, 37, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 3*v + 3. Let m be x(-1). Let y be m\/(-28)*-1831 - 3\/6. Let g = 130 - y. Is g != -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2178, 2292, 2436, 2610?\n\"Answer: 15*l**2 + 69*l + 2094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855*k - 855*k + 5*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 7*r - 225 = 0. Let b = 786 + r. Suppose 0 = -3*p + b + 396. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 - -15. Suppose -93*o + 581 = -100*o. Let v = a - o. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 5 (b) -0.0006 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 229 and 4580.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530283.3 millennia in decades?\nAnswer: 53028330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19752526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (3 + (11 - 15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3310835 (base 10) to base 11.\nAnswer: 1961530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -5.\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2936 is divided by 157.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*t**4 - 7*t**4 + 4*t**4)*(3 - 3 + 2*t).\nAnswer: 232*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-164)\/246)\/((-1)\/3 - -1). Let t be (-242)\/(-34) - (x + 57\/51). Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171 - (2 + 93) - ((-2 - -1) + 1).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z - 18*z + 33*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a factor of 2507238768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-1))\/1*(-3)\/(-4)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1053))**2 + 2 + 5 + ((0 + sqrt(1053) + -2)**2 - (-6*(sqrt(1053) + sqrt(1053) + 0)**2 + sqrt(1053))))*3.\nAnswer: -135*sqrt(13) + 82167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -6. Let y(f) = f**3 + 12*f**2 + 10*f - 1. Does 3 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48563.38 millilitres?\nAnswer: 48.56338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109077 is divided by 232.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/18)\/g)**(17\/3)\/(g\/g**(-1\/7))**(10\/11) assuming g is positive.\nAnswer: g**(-26573\/4158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92592195, -92592182, -92592153, -92592102, -92592023?\nAnswer: -92591910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 4*p**2 + 4*p - 1. Let z be r(4). Let w = z - -3. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31884690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333138.\nAnswer: 2, 3, 13, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18485 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyhyphuywuuyyuwuuuyy. Give prob of picking 1 h and 1 w.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -423375.894 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2244254, -2244260, -2244266, -2244272, -2244278?\n\"Answer: -6*q - 2244248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -f + 2, 68*o + 3*f = 70*o + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -11. Suppose 5*a - 4*c + 62 = 0, -66 = 4*a + 2*c + 3*c. Is a at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8819 + 17290. Suppose -6*r + 2083 = -o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16330 - 10878 - 3907 - 163 = 802*x for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4014255 divided by -5.\nAnswer: 802851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2904)\/1815 + 651576\/10.\nAnswer: 2, 7, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6115, 6026, 5935, 5842, 5747, 5650, 5551?\nAnswer: 5450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 414 - 583. Let c = w + 173. Solve 0*j = c*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*w - s - 20, -2*w - 5 = s. Solve w = -3*o + 4*o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15947*0.0834.\nAnswer: 1329.9798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1380563, -1380559, -1380555, -1380551?\nAnswer: -1380547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/72)\/(8\/(-6)*1\/(-6))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 - -115. Let x(v) = -v**2 - 3*v + 1. Let z be x(-2). Solve j = -z*u - 2*j + 3, -4*u + s*j - 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*u - 15 = g, 2*g - 3*u = 15. Suppose g*d + d + 248 = 4*x, 2 = -d. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 5*v. Let j(x) = 3*x. Calculate u(j(z)).\nAnswer: 18*z**2 + 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 50, 131, 286, 539, 914?\nAnswer: 1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4 - 10385*g**3 - 6*g - 6955170.\nAnswer: 8*g**3 - 31155*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 25 = -r. Solve 20 = 4*v + 4*b, -3*v = -3*b - r + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Suppose 27 = g*q + 9. What is the third smallest value in 2\/9, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 2*i**2 + 7*i - 6. Let s(b) = -b**3 - b + 1. Let d(y) = n(y) + 6*s(y). Let p be d(-1). What is the greatest common divisor of 81 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-4*c + 2*c + 4*c) - c + 5*c - 3*c - 1 + 1 - 3*c + (1 - 2 + 2)*(-1 + 1 + 2*c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 19*j**2 + 19*j - 16. Let f be u(-20). Solve 20 = -f*x - x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 64. Calculate the remainder when 79 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -94751 times -1.9?\nAnswer: 180026.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 9*a**2 - 9*a - 6. Suppose 4*s - 2*c + 38 = 0, -15 = 5*s - 5*c + 40. What are the prime factors of n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 64 = -4*m, -m + 3*a + 16 = 2*a. Suppose 2*u + m - 60 = 0. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3024487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4321 and 58.\nAnswer: 8642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1. Let s(a) = -a**3 + 5*a**2 + 16*a - 80. Let p(m) = 3*h(m) - s(m). What is p(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*d + 12, -11120 = 5*d - 4*y - 11140 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 1 = 5*o. Let r(v) = -14*v**2 + 44*v + 29. Let t(d) = 5*d**2 - 15*d - 10. Let y(z) = 6*r(z) + 17*t(z). What is the units digit of y(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-81)\/(-6))\/((-1)\/(-2)). Calculate the remainder when (26\/3)\/(6\/z) is divided by (-5735)\/(-279) + (-8)\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.069 * -119000.\nAnswer: -246211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1421550 - -11?\nAnswer: -1421537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908466978 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/3)\/j**(-6))**(-39))**(-44) assuming j is positive.\nAnswer: j**7436","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l**2 + 71*l - 71*l + (-l + 4 - 4)*(-l + 0*l - l) + 3*l**2 + 0*l**2 - l**2 as y*l**2 + f*l + m and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661425?\nAnswer: 3, 5, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 81 + 33. Is (-12)\/8 - (-42684)\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130*g**2*w**2 - 4*g*w**2 - 3*g - w**2 wrt g?\nAnswer: 260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 72. Let b(y) = y + 24. Let h(i) = -11*b(i) + 4*g(i). Let w be h(-3). Solve -w = 3*l - 0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 3*x**2 - 2*x**2 + (0 - 3 - 1)*(-107*x - 128*x - 1213*x)*(-x + 4*x - x) as p*x + o*x**2 + l and give o.\nAnswer: 11577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*u = -377*u + 1205 + 991 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*g**2 + 545*g**2 - 126*g**2 - 128*g**2 - 166*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 223652 and 312.\nAnswer: 1341912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -8427*s**4\/4 + 4*s**3\/3 + 121*s**2\/2 + 2*s + 4280. What is the third derivative of k(t) wrt t?\nAnswer: -50562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - z + 2*z - 13 = 0, q - 1 = -z. Let h be (-23)\/q - (-3)\/(-6). Solve 0 = -5*l - 4*r - 6, -4*l + 3*r - h = -31 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 - 2*c**2 + 3*c**2 to the form m + u*c + r*c**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/2)\/((-13)\/(-13)))\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52012\/285045 - -1\/3065. Find the common denominator of 1\/930 and a.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/179 + 1102\/1253. What is the fourth smallest value in x, -2\/3, 0.8, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*m**3 + 17*m**3 - m**6 + 2*m**6 + 2*m**2 wrt m.\nAnswer: 120*m**3 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232 by 3.\nAnswer: -232\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61399\/35 + 12277\/7. Which is the second biggest value? (a) 2\/15 (b) i (c) 2 (d) 1\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -83. Let m = -12977.51 - -12914. Let w = m + s. Round w to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 525*w**2 + 1176*w - 63. Let g(r) = -42*r**2 - 94*r + 5. Let j(p) = 63*g(p) + 5*q(p). What is the second derivative of j(m) wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-44))\/(-1)*(-774)\/(-801864)*2849.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -1319\/18, -0.5, 0.1 in decreasing order.\nAnswer: 0.1, -2\/15, -0.5, -1319\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 201420 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16*2)\/(24336\/16224).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -398, 144, 4 in descending order.\nAnswer: 144, 4, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 5382?\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -104. Let i be 2*(-2 + (-84)\/a). What is the second smallest value in i, 3, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 0.7, -1\/2, -0.2, 350, 3, -2\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (8 + -2)\/((-6)\/(-4)). Let m = 1912291\/15841 + -8\/2263. Let u = -121 + m. Which is bigger: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0 + 2. Suppose 0 = y*f - f. Find the second derivative of 0*z**2 - 2*z**4 + f*z**2 + 2*z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16188 * -2\nAnswer: -32376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 6. Let m(z) = z**3 + 5*z**2 + 2*z - 3. Let v be m(-4). Let a be n(v). Put 1\/3, a, -2 in ascending order.\nAnswer: a, -2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32132 and 502343655.\nAnswer: 8033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r = 16. Suppose 0 = r*w - 70 - 210. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666 (base 7) in base 16?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 13 (c) 3415 (d) -4\/3 (e) 5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 7. Suppose -2 - u = -o. What is the lowest common multiple of 14 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/((sqrt(6) + -2*sqrt(6) - sqrt(6))*-4))\/(6*sqrt(108)*2)*2.\nAnswer: sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39148292 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*2 - sqrt(77))*-3 - sqrt(77))\/(sqrt(176)*4 - sqrt(11)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6307099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-16)*64\/72)\/((-2)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/12 - 3*f**2\/2 - 1. Let v(w) be the second derivative of z(w). Let r(d) = -d. What is v(r(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.002568 - 4.997432. Let u = -45 + 18. Which is the second smallest value? (a) q (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1755073 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 4975*a + 2398840. Give y(541).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111000 + 11101?\nAnswer: -1100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5051352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.3 rounded to zero dps?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (4 - (0 + 6))) + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 24 + -5 - -5 - (-13 + 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*(-5)\/88*(-108)\/2610?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1010 less than -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*3\/6)\/1. Let h(u) be the third derivative of w*u**4 + 0*u**3 + u**2 + 0 - 1\/30*u**5 + 0*u. Let m(z) = -z. Determine m(h(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -114, -110, -106?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 0.1, 2\/7 in increasing order.\nAnswer: -0.1, 0.1, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4207683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5452 + 5724. What is the remainder when p is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-25 - -39) - (-1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*b - 279*b - 285*b + 1092*b - 261*b + 36.\nAnswer: -6*b + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*s = -1559, -3*v - 2*s + 6*s = -929. List the prime factors of v.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3012.958 - -3010. Let q = l - 0.042. Let m(a) = a**2 - 8*a + 12. Let k be m(7). What is the nearest to 0.1 in q, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 11 = -6. Let c(v) = -2*v + 5. Let j(p) = 3*p - 6. Let y(z) = m*c(z) - 4*j(z). Let l be y(-6). Solve l = 3*f + t, 3*t - 9 - 6 = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15\/4, -1, 160, 1\/39 in decreasing order.\nAnswer: 160, 1\/39, -1, -15\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 5*z**3\/6 - 2*z**2 + 2*z. Let b(v) = 4*v - 4. Let f(y) = 3*b(y) - 2*l(y). What are the prime factors of f(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -44, -88, -150, -230, -328?\n\"Answer: -9*l**2 + l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 17. Factor 2*l**5 - 4*l + l**5 + 16*l**2 + 16*l**d - 3*l**5 - 4*l**5 - 24*l**3.\nAnswer: -4*l*(l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmez when four letters picked without replacement from {e: 5, m: 5, z: 1, t: 1, j: 4}?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = a. Let p = 3 + -3. Sort p, 4, a.\nAnswer: a, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/30*-5 - (-2 - 1). Sort -0.1, -4, y, -2 in decreasing order.\nAnswer: y, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + 2 + 11*u**3 - u**3.\nAnswer: 10*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 785825365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*m - 200, -5*a - 361 = 19*m - 23*m. Calculate the lowest common multiple of 517 and m.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-3)\/4*1. Let m be (2 - 18)*(2 - y). Suppose m = -0*i + 2*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 1. Let z(j) = 2*j**2 - 5*j + 4. Let a(m) = 4*o(m) - z(m). Let q be a(-1). Let p be 3 - (0 - (q + 3)). Which is bigger: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let c(l) = -15 - 8 - 3 - 69*l - 10 + 33. Give x(c(f)).\nAnswer: -138*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 1 + (-7 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 + -0.3. Let u be ((-42)\/(-5))\/(3\/15). Suppose 3*v = -u + 54. Which is the smallest value? (a) h (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - 70) + -4 + 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 4*q**2 - 3*q - 2. Let b be w(-3). Let a = b - -11. Suppose 0 = -4*n - 5*m + 32, -2*n + 9 = 3*m - a. Is n bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 728520816?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5617739, 11235584, 16853429, 22471274, 28089119?\n\"Answer: 5617845*u - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let h = -4.79 + g. What is h rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 44 = 3*z. Suppose -z = -m - m. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 + 80 + 28 + -87.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375272 (base 13) to base 3.\nAnswer: 2111022212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 2985282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 11*a**2 + 28*a + 29. Let m be q(-13). Let j = 3 - 0. Solve m*u - 1 + j = 2*c, 2 = u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 32. Calculate m(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -555*o**4 - 8847*o**3 - 34992*o**2 + 2112*o = 0.\nAnswer: -8, 0, 11\/185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -6*c - 20. What is the least common multiple of c and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -10.968. Let y = -0.01 - s. What is y rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 12:28 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(3\/2))**49)**42 assuming n is positive.\nAnswer: n**(-1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + g**2 - 5*g)*(-61 + 87*g**3 - 88*g**3 + 421).\nAnswer: -g**5 + 360*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27622 + -27621.95. Sort k, 1.1, -2, -1 in ascending order.\nAnswer: -2, -1, k, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from abcatbbbc.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*v - 6, -5*v - 10 = a - 0*v. Suppose 4*y + 2*w - 592 = 4, -3*w - 745 = -a*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 h when four letters picked without replacement from pphhphpphhph.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghssofof. What is prob of sequence so?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -64*p - 71. Suppose 22*q + 85 = 5*q. What is the hundreds digit of j(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13 = -5*l, -4*t + 36 = -l - 3*l. Suppose -t*y - 2*o - 8 = 0, 3*y + 5 + 7 = -3*o. Let f(m) = -m + 8. Calculate f(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*q - 5 = 0, k = -4*q - 4159 + 4142 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*g - 1, 3*m - g + 3 - 11 = 0. Suppose 4*q + 13 = m*y + 2*q, 5*q - 48 = -4*y. Calculate the smallest common multiple of 8 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 5:26 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596114689 - 5022234689 = -46*y. Round y to the nearest one million.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -621680 divided by 15542\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2115076\nAnswer: -3\/2115076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 162889674 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let k(q) be the first derivative of 3*q**3\/2 + 3*q + 7. Let x(z) be the first derivative of k(z). What is v(x(c))?\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/4 + 5515*y**2 - 4338477*y\/4 + 107134731\/2 = 0. Calculate y.\nAnswer: 99, 21862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4767 divided by 1589\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 78116 + 4?\nAnswer: 7811a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13444, -2, 9, -3 in descending order.\nAnswer: 13444, 9, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.039 (c) -1\/3 (d) -2\/7 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1. Let p(a) = -4*a - 7. Let d(m) = 4*k(m) - p(m). Let s = -616 - -634. Suppose -102*o = -99*o - s. Determine d(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41474*g**3*m**3 + 46*g**3 - 732*m**2 wrt m?\nAnswer: -248844*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7132883, 7132878, 7132873, 7132868?\n\"Answer: -5*m + 7132888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 12*c**2 - 3*c - 1. What are the prime factors of g(-10)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:03 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1544 and 65380294?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12768 and 454944.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 11 = -4*b + 3, -2*b - 3*l = 6. Suppose 4*t = -5*h, b = -2*h + 5*h - 3*t. Suppose 6*u - u - 75 = h. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 43*t + 215. What is p(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4940 and 111\/3952?\nAnswer: 19760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + -1 - ((-3*sqrt(136) - sqrt(136) - sqrt(136))\/sqrt(8))**2.\nAnswer: -426 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1369356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**2 + 33*d + 1164. Let n(k) = 15*k**2 - 65*k - 2301. Let f(m) = -9*l(m) - 4*n(m). What is the first derivative of f(r) wrt r?\nAnswer: 6*r - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58877 (base 13) to base 8.\nAnswer: -474047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyq when three letters picked without replacement from {b: 2, y: 2, q: 3, w: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*4)*3 - sqrt(209))\/(sqrt(275) + sqrt(275)*-3 + sqrt(275)).\nAnswer: -14*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - 3*o + 3*o - 3*o**4 + (-2*o**2 - 2*o + 2*o)*(-o**3 + 4*o**3 - o**3) + 4*o**2 + 2*o**5 - 4*o**2 - 4*o**5 + 3*o**5 - o**5.\nAnswer: -6*o**5 - 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24834 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 11*b**2 - 17*b - 12. Let s be m(-12). What is the greatest common factor of 120 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaxa when four letters picked without replacement from {f: 1, a: 9, j: 1, x: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 3, k: 3, g: 10}. What is prob of picking 2 f?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 393101 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1001011111011 (base 2) to base 7\nAnswer: -20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 1. Let q be u(12). Let b = 23 - q. Is -2\/3 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9 + (15 + -18 - (-3 - 0)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 14, a: 5}. Give prob of sequence ccac.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.956 + 4.6668.\nAnswer: 5.6228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.46 + 0.04. Let s = 438 + -238.2. Let f = s - 200. Put d, 2\/33, f in decreasing order.\nAnswer: d, 2\/33, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 246.\nAnswer: -1\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.122, 5, -0.1, 105.\nAnswer: -0.1, 0.122, 0.5, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143416, 286846, 430278, 573712, 717148, 860586?\nAnswer: 1004026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 81*i - 10. Let y(j) = 2*j**2. Determine y(a(u)).\nAnswer: 13122*u**2 - 3240*u + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 6*x**2 - 2*x - 9. Let p be l(-6). Suppose -2*f = -2*i - p*i + 106, -5*i + 4*f + 102 = 0. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**5*c)*c)\/c*c*c\/c**(-6)*c*c)\/((c**6\/c*c)\/(c\/((c**(-1)\/c*c)\/c)))*((c*c**(-10))\/c**(-5))**(-2\/39) assuming c is positive.\nAnswer: c**(86\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 255681*r - 3578946.\nAnswer: -3*(r + 14)*(r + 85213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*(d\/((d*(d\/d**8)\/d)\/d*d))\/d)\/d))\/d)**(-31) assuming d is positive.\nAnswer: d**217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/11)*a*a*a*a**(-2)*a*a*a**(-7)*a*(a**(-8)*a*a)\/a assuming a is positive.\nAnswer: a**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -99 + 45 + 62, 4*g = 2*h - 364 for g.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-18)*13\/26?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a factor of 276075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.6 - -0.6. Let t = 8.8 + g. What is the closest to -1 in -4, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1350810 divided by -2\nAnswer: 675405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 4*t - 2. Let i be n(1). Let r = 13 + -9. Solve i*f + 0 = -r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 2*s + j + 79, -s + 5*j + 258 = 0. Suppose 0 = -17*b + s + 328. What is the remainder when 60 is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 1\/3*i**3 + 0*i**4 + 3\/4*i**5 + 0 + 168*i + 1\/2*i**2. Calculate k(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(5\/7))\/q*q\/(q*q**4))\/((q*q\/q**(-2))\/q**(-3)) assuming q is positive.\nAnswer: q**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/16 + -95\/112. Let s = -0.16 + -1.84. What is the nearest to 0.1 in s, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (85\/4)\/(41\/272240). Round r to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 73.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25301 times 157?\nAnswer: -39.72257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6, 30 = -o - f + 78. Calculate the remainder when 1 - 2 - (0 + -83) is divided by o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -343 + 340. Suppose -22359 = 2*g + 3641. Let q be ((-30)\/b)\/((-1)\/g). Round q to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + (-1 - -3))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 9 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*m**2 - 19*m**2 - 15*m**2 + (3*m - m - 4*m)*(-1 + 1 + m) + 4*m - m**2 - 4*m + m**2 - 3*m**2 + m**2.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + a - a + (-2*a**3 + 0*a**3 + 3*a**3)*(1 + 0 + 0) + 7*a**3 + a**3 + 0*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvx when three letters picked without replacement from xvxvxxvxxv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (665\/(-228))\/(140\/40).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(67\/134 - 15\/54)*66\/8.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)*10\/2. Suppose -3 = 4*v + 21. Let t be 4 - 2 - (-6 - v). Solve 0 = f - t*f + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*w**3 + 345 wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61627, 51589, 34859, 11437, -18677?\nAnswer: -55483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2738069 - 0.2?\nAnswer: -2738069.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 256 + -183. Let y = w + -141. Let m = 113 + y. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 6505*c + 7091*c.\nAnswer: 586*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 521\/7 or 1\/4?\nAnswer: 521\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2057 - 5647 = -321*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.156, -1283, -12, 0.1 in descending order.\nAnswer: 1.156, 0.1, -12, -1283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4294 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-8 + (4 - -8) - (2 + -4))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 5*z**2 + 4. Let v be a(-5). Suppose -v*b = -5*b + 2. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = -59*q + 17*q - 16*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 250899 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16733 - 9688. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3*r**5 - 53619*c**3*r**3 + 2*c**3*r + 7950*r + 1 wrt r.\nAnswer: 80*c**3*r**3 - 321714*c**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -37858.171 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 197969728 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/(-22))\/(-2) + 2. Let x be (263\/30*-2)\/(198\/15). Let w = u + x. Is w bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 921784 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 8*i + 11. What is f(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6))**(-19\/6) assuming h is positive.\nAnswer: h**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 13*d + 41. Suppose 7*p = -597 + 72. Let o = p - -87. List the prime factors of f(o).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.005683 * -0.11\nAnswer: -0.00062513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 10*c**2 + c + 6. Let f be m(-10). Let l = f + 5. Calculate the lowest common multiple of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**4 - c**3 + c - 3. Let t(n) = -n**4 + 1. Let o(x) = -6*r(x) - 21*t(x). Solve o(k) = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2)))**(-48)\/(((((a\/(a\/(a*a\/((a\/a**(7\/4))\/a))))\/a)\/a)\/a)\/a*a*a\/(a*a**5*a)) assuming a is positive.\nAnswer: a**(405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**2. Let l(d) be the first derivative of 3*d**2 - 37. Give o(l(x)).\nAnswer: 324*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**(-32))**(-4\/3)\/(c**3*c*c\/(c*c**(1\/3)))**(-11) assuming c is positive.\nAnswer: c**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 1159 = 447. Let i = v - -83. Let a(y) be the third derivative of -y**6\/120 - 7*y**5\/60 - y**4\/12 + y**3 + 2*y**2. Calculate a(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-16))\/(4\/32). Solve -3*g = c*v - 6, -4*v + 5 + 11 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/48 and 79\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44482975 or 44482977?\nAnswer: 44482975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*u)*((17 - 46 - 44)*(-2 + 4 + 3) - 2 - 1 + 0)*(u - 2*u + 0*u).\nAnswer: -736*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 21, 18, -3, -48, -123, -234?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 228\/(-210) - 4\/(-14) and 19\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 + 90*b**2 + 758*b + 1176. Let h(d) = -21*d**3 - 360*d**2 - 3033*d - 4704. Let n(j) = 2*h(j) + 9*u(j). Let n(w) = 0. Calculate w.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k - 21. Is w(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 72 + 116 = 0. Suppose 2*z + 2*x - w = -2*x, 50 = z + 5*x. Suppose 3*f = -0*l - 2*l + 88, f - z = -l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -349513, -699006, -1048511, -1398034, -1747581?\n\"Answer: -q**3 - 349486*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = 3*m. Let h(d) be the first derivative of 7*d**4\/4 + d**3\/3 + d**2\/2 - d + 369. Give h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xux when three letters picked without replacement from xiukpax.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/9, -2, -0.4, 11\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 11*d**3 + 183*d**2 - 183*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*n*r**2*x + 14218*i*n*x**2 - 6*i*r**3 - 4*n*x**2 + 138*n*x - 2*r**3*x**2 - 206*r**3*x wrt x.\nAnswer: 28436*i*n - 8*n - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3054 from 0.\nAnswer: -0.3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5\/3, 0.1, 0.3, 19, -15 in decreasing order.\nAnswer: 19, 18, 0.3, 0.1, -5\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -5*k + 801. Let w = k - 88. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534 + 275 - 809 - 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 11:11 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007468 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9624 = -491*l - 14435 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18799, 22, 1, -5 in decreasing order.\nAnswer: 22, 1, -5, -18799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -21*k - 11*k + 50*k - 29*k. Let b(j) be the first derivative of 7*j**2\/2 - 2. What is b(m(y))?\nAnswer: -77*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -258, -260, -262, -264?\n\"Answer: -2*f - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5701491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p*p\/(p**(-10)*p*p)*((p*p**42)\/p)\/p*p*(((p\/(p*p**(-25)))\/p)\/p)\/(p**(-2\/15)\/p) assuming p is positive.\nAnswer: p**(1172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 12*m + 23. Let i be j(-10). Suppose 5*c = i*c + 34. Calculate the highest common factor of c and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.30950133 rounded to 2 decimal places?\nAnswer: -6.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -403*x. Let f(a) = -13*a**2 + 3*a + 3. Let b(d) = -8*d**2 + 2*d + 2. Let t(z) = -3*b(z) + 2*f(z). What is t(w(p))?\nAnswer: -324818*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53073 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 165, 269, 373?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 3)*(0*c + 5*c - 2*c)*(-1 + 1 - c + (-4 + 1 + 1)*(5*c - 3*c - c) + 0 + 0 - 2*c + 4*c + c - 3*c + 2*c - 2 + 2) to s*c + w*c**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2. Let p(y) = 57*y - 1258*y**2 + 994*y**2 + 3817*y**2 - 57*y. Determine c(p(l)).\nAnswer: 12623809*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 4:33 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42\/5 in 48, 0.09, 1, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -0*h. Let i(g) be the second derivative of -1\/6*g**h + 1\/6*g**4 + 0 - 2*g + 0*g**2. Find the second derivative of i(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.023, -7, 12.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**5 + 20*k**4 - 12*k**3 - 68*k**2 - 40*k.\nAnswer: 4*k*(k - 2)*(k + 1)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168232, -168238, -168244?\nAnswer: -168250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3266719498 to the nearest integer?\nAnswer: 57155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51141.\nAnswer: 3, 17047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/150*((-31)\/((-868)\/(-21)))\/(-1)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 - 2*r**4 - 219*r + 8*r**3 + 219*r)*(-3*r + r + 3*r).\nAnswer: -2*r**5 + 8*r**4 - 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1479221 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3752 - 2404. What is b rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440060 by -110015.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:44 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 61*m - 66*m + 415, 5*m = 3*l + 405. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:54 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - y)*(2 - 1 - 2) - 7*y - 2*y - y + 3 - 3 + y + (-6 + 6 + 3)*(-5*y + y - y) to the form b*y + c and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 10 = p. Let s(a) = a**3 + 6*a**2 + 7*a + 4. Let q be s(p). What is the units digit of ((-4)\/q)\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 166138?\nAnswer: -5\/166138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -120346869?\nAnswer: 4\/120346869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-437 + 775*a**3 + 437)*(a + 3*a - 2*a)*(a - 4*a + a).\nAnswer: -3100*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 362029 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1110101011111111000 (base 2) to base 9\nAnswer: -813156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzznnzzzzn. What is prob of picking 1 n and 3 z?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 7*h + 66, -h + h - 2*b - 42 = 2*h + 2*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1470 + b1?\nAnswer: -139d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -50*a - 1046. Calculate w(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8988*r - 88638?\nAnswer: -8988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2244?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76377 is divided by 76359?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 297, 273, 241, 201?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 10*d + 4. Suppose -3*y + 6 + 24 = 0. Let s be p(y). Solve 3*v + 8 = -s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8073.664 days in hours?\nAnswer: 193767.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*n - 219*n + 15922 = 285*n - 68*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 12:45 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -186 - 3\/2*n**2 - 96*n = 0.\nAnswer: -62, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 340.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l - 66. Let o(y) = 2*y**2 + 23*y. Determine o(c(z)).\nAnswer: 18*z**2 + 723*z + 7194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 306338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63139891861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, -4, -52, -132, -250, -412, -624, -892?\n\"Answer: -m**3 - 7*m**2 + 6*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -2*a**3 + 6*a**2 + 1860*a. What is w(6)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddlddlddd. Give prob of picking 2 d and 2 l.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13*-0.088\nAnswer: -1.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.356656*-1.1\nAnswer: 0.3923216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 7*a - 11. Let x be v(5). Are x and 3\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 494*n**2 + 239*n**2 + 233*n**2.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*v - 9, -v - 2*r + 16 = v. What is q in -8*q**3 + q**2 + 10*q**4 + q**2 - v*q**5 + q**5 + 0*q**5 = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1969275 and 33418?\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-9 - -8) + 10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/23)*w*w*w**14 assuming w is positive.\nAnswer: w**(365\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6869, -27448, -61681, -109514, -170893, -245764?\nAnswer: -334073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190385*n - 97 = -3*l - 190377*n, 3*l = -3*n + 42 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2579949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 4\/7, -0.3 in ascending order.\nAnswer: -7, -3, -0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00879233585 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 8, -23, -66, -121, -188, -267?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72, -67, -60, -51, -40, -27?\n\"Answer: r**2 + 2*r - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -21*d + 20. Let t be z(-6). Suppose -6*r + t = -58. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6349 - -6411 - (9 + 0 - 0).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2390*o - 26284. Calculate k(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 4\/3*x**3 - 4*x + 14 - 3*x**2. Let r(w) be the first derivative of g(w). Let i(c) = 9*c - 7. What is 5*i(b) - 6*r(b)?\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 9:35 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.53 take away -261801779?\nAnswer: 261801775.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(363) - ((sqrt(363)*1 - sqrt(363) - sqrt(363)) + -5)))**2*4.\nAnswer: 880*sqrt(3) + 5908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 370*l**4 + 739596*l**2 + 4276353*l + 52 wrt l?\nAnswer: 4440*l**2 + 1479192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42677 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -71*g - 991. Let p be n(-14). Solve 3 = -r, 4*q - 1 = -q - p*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**4\/4 + 2*s**2 - 32. Let b(n) = n**2 + n**2 + 0*n**2. Determine z(b(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 185693.62 to the nearest one hundred.\nAnswer: 185700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*z = -22, 2*l - 4*l = -5*z - 8. Let p = -1 - l. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14368 - -14373. Solve 3*j - 8*j + x*y = 5, 5*j - 1 = -y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4198 divide 145294901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*l + 0*l**4 + 102*l + 3*l**4 + 10 + 4*l**2 - 4*l**4 as m*l**2 + w + a*l + t*l**3 + u*l**4 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -0.012827\nAnswer: -0.371983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + 10*f**2 + 7*f - 1. Let z(r) = -2*r**3 - 11*r**2 - 8*r + 1. Calculate -6*u(c) - 5*z(c).\nAnswer: -2*c**3 - 5*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-2)*(702\/21 + -31)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -1453.\nAnswer: -33\/1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:51 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -11 + 0 + 22 + -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = 3*y, -3*y + 2*t - 8 = 10. Let g(u) = -2*u**2 + 5*u + 5. Let m(i) = 2*i**2 - 4*i - 4. Determine y*g(b) - 5*m(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -1 + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**4 + 65*k**3 + 270*k**2 + 460*k + 280 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 3257.\nAnswer: 30\/3257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 377 - 117. Let l = -131 + -40. Let v = l + b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-19*3\/(-3)*93\/93.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3849 or 3847?\nAnswer: 3849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tll when three letters picked without replacement from ttttllllelllll?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5661 - -0.51599. Let j = 0.05 + z. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 781*i**2 + 787*i**2 + 2*i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 17) + (9 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 8*z + 4. Let x be q(8). Suppose 2 = -c + x*f - 8*f, 2*c + f = 3. What is the tens digit of c*(3 - 4)*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h - h - 6*h**2 - 39*h**3 + 38*h**3. Let k be g(-5). Find the third derivative of 7*j**2 - j**5 + 8*j**k - 2*j**5 wrt j.\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-166)\/8*1)\/((-10)\/(-40)). Let c = h + 71. Let f be c\/(-45)*(6\/(-4) - 1). Which is smaller: f or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3034, -413 in decreasing order.\nAnswer: 2, -413, -3034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 + (4\/4 - 0) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -32335?\nAnswer: -32333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/1807 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 4*c**3 + c**3)*(-3 - 3 + 0)*(1 - 6 + 7) - c**3 - c**3 - c**3.\nAnswer: -51*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) 16 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s - 4 + 3 + 0*s**2 - s**2 + 8. Is f(-7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4\/(-2)*6\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/693*-22)\/9.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 9*m + 10. Let q be d(7). Let v(i) be the first derivative of i**2 - 2*i + 1. Let g(r) = 3*r - 3. What is q*v(n) + 3*g(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 125 in -1, -1\/26, 45, -0.5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -88673.68 and 0.5.\nAnswer: -88673.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 25 = 6*p. Suppose p = 2*h - 1. Solve -2*s - 7 = -2*t - 3*s, -h*s + 14 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002022 - 220021?\nAnswer: -10222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 11*g**2 + 28*g - 3. Determine j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2136424 divided by -23222.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 6*m**2 - 5*m - 4. Let h be x(5). Let s be -3 - 718*h\/1248. Let f = 2\/39 - s. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 11316 + 5657 = -5654 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 25*g - 263. Suppose 6*y + 231 = 3*y + 10*y. Give a(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -65, -103, -159, -239?\n\"Answer: -r**3 - 19*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007805 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224445 and 5124405.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/3 in 10, -0.7, 2, -5.9?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + 0.39. Let q = w + 0.4. Let g = -0.9 + q. Which is the second biggest value? (a) g (b) 3\/2 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3384)\/(-156))\/(-6))\/((-12)\/156).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 130.82 (b) 3 (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 8*d**2 + 29364*d + 14680 = 0.\nAnswer: -3670, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 3}. Give prob of picking 1 z and 2 c.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*v + 5*v = -5, -3*v - 8 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*y**6*z + 2*y**4*z + 75*y**2 - 2*z wrt y.\nAnswer: -45840*y**3*z + 48*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 51, -674361, -3\/2?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 12*y + 996. Calculate q(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 7*t + 7. Let h be v(3). Let d(k) = -k - k + 4*k + 5*k - h*k. Determine d(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 5*l + 6. Let u(y) = 2*y + 17. Let k be u(-11). Let q be x(k). Let i be 20\/6*q\/(-4). Let z(w) = w**2 + 5*w + 3. Give z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138357?\nAnswer: 3, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1735135 = -37*x + 1733248 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16328058895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 19. Let b = -0.026 - 3.724. Let v = u + b. Round v to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(396)\/(sqrt(72)\/sqrt(6)))\/(sqrt(132)\/(sqrt(12) + sqrt(12)*-4)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 29.65. Let y = -0.35 + l. Which is greater: 6 or y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12466?\nAnswer: 2, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -354*p - 3 + 169*p + 658*p**5 + 192*p - 19 - 16 wrt p.\nAnswer: 13160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*l*o**5 + 799*l*o + 5671*o**5 + 74*o**2 wrt o?\nAnswer: -1020*l*o**2 + 340260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.9, 1\/6, -6.\nAnswer: -6, -3.9, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-6) + (-122)\/(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 192, 628, 1476, 2874, 4960, 7872?\n\"Answer: 23*g**3 - g**2 + 4*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 43 = -m. Let t(h) = 3*h - 16 + 50 - 17 + m. Let w be t(-16). Put 1, w, -4 in ascending order.\nAnswer: -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 106. Let k = 106 - b. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11. Let m(h) = h + 6. Let q(n) = 7*m(n) - 4*o(n). Suppose 12 = -0*y + 2*y. Let c(j) = 6*j - 2. Calculate y*c(r) - 5*q(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1810296 divided by -54?\nAnswer: 33524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -6 - -102 - (0 + 3) and 9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/16)\/(2\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -22 + 0 + -8 - (-1 - -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139.72 + 141. Is 0.1 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -470 (b) -12.6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1\/5, -2437522 in increasing order.\nAnswer: -2437522, 1\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/15 + 178*s**2\/15 + 248*s\/5 = 0.\nAnswer: -4, 0, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010341 - -10222?\nAnswer: -1000114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16807.022449 + 16807. What is q rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13131499*i**3 - 2*i**2 - 1615149*i - 2 wrt i.\nAnswer: 78788994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13212 divided by 4?\nAnswer: -3303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2316218274 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6948537, -6948536, -6948535?\nAnswer: -6948534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1792294000 rounded to the nearest one million?\nAnswer: -1792000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -7. Suppose -1 + 13 = -6*f. Let w = f + i. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 + 69 = -3*o - 5*c, -5*c + 274 = -3*o. Let v = o - -96. Let w(n) = n**3 + 3*n**2 - 6*n - 4. Let j be w(-4). Solve -i + j = v*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10010100?\nAnswer: 10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 7*m**3\/3 + 323. Let v(a) = -57*a. What is v(w(q))?\nAnswer: -399*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.9 - -1.9. Let q = -9 + r. Let l = q + 24. Which is the closest to l? (a) -1 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -83*f + 6037. Is t(-4) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -5*z. Suppose -q + 16 = 5*k, -4*k + z*k = 4*q. Put -6, q, 4, 0 in increasing order.\nAnswer: -6, q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 26. Let r = 0.084 + 0.016. Which is the third smallest value? (a) -10\/11 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5*d**2 - 3*d**2 + 13*d**2.\nAnswer: 5*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 11:10 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1460 - -2209. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let q(k) = k + 24. Give q(o(u)).\nAnswer: u**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 1.5. Let g = -6 + 6.63. Let f = o - g. What is f rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xddxdx. Give prob of sequence xddd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p + 0*p**3 + 0 + 40*p**2 + 0*p**4 + 47\/120*p**6 + 7\/60*p**5. Find the third derivative of o(y) wrt y.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -3*j - 9*d + 22, 0 = -3*d - 3. What is the remainder when 30 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((162\/126)\/(-3))\/(-6*(-11)\/(-462)). Let a = 11 - 7. Solve -q*h - m + 5 + a = 0, -m = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4761 divided by -69?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/23 - 50154*m**2\/23 - 2765120*m\/23 + 15079200\/23 = 0. What is m?\nAnswer: -60, 5, 25132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = -l + 2856. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-6)*-6 + 2. Let q = 22 + d. Let l be (q\/(-5))\/((-126)\/(-20)). Put -5, l, -6 in decreasing order.\nAnswer: l, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -108 and -3169.076.\nAnswer: -3277.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose 14*m - 897 = -309. Suppose -3 = 3*h - m. What is the remainder when h is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 - 167*d - 93*d + 69*d - 7.\nAnswer: 8*d**2 - 191*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1251*f - 1681*f + 97*f.\nAnswer: -2835*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39 and 275944868503.\nAnswer: 275944868542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.62 to the nearest integer.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*h - 25 = 0, 3*n + 2*h + 29 = -2*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 29*l. Let m(k) = -1064*k**2 + 39*k - 2. Let r(g) = -m(g) + 5*v(g). Find the second derivative of r(p) wrt p.\nAnswer: 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 0 + 0 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28214782 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/33920 and -71\/5861376.\nAnswer: 29306880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 1. Let r(c) = -4*c**2 + 1. Let l(s) = 3*o(s) - r(s). Let p(u) = -u**2 - 2. What is 4*l(v) + 5*p(v)?\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -385\/2 - -194. Sort 1\/4, 0.34, r in increasing order.\nAnswer: 1\/4, 0.34, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 8 = 3*i - 17, -5*i - 10 = -5*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -347*s**2. Let j(i) = -10*i**2 - 15*i + 3. Let m(b) = -119*b**2 - 175*b + 35. Let u(c) = 35*j(c) - 3*m(c). What is u(x(h))?\nAnswer: 842863*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12 minus 923.2508835?\nAnswer: -922.1308835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41\/9 + -17\/3. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2249 - -3331. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54*60\/8100)\/(3\/420)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 1:56 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 20. Let s be 3 - (-3 - w)*2\/6. Let a(i) = 2*i**3 - 5*i**2 + i - 7. What is the remainder when a(s) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313580985?\nAnswer: 3, 5, 673, 31063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746978 is divided by 261?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -0.1, 2\/25, -2\/11, 2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 6*r - 8. Let d be g(-8). Suppose 3*m = -2*i + 5, 4*m - 2*i = d + 8. Suppose -4*c + 4 = -3*c, 5*c = k + 24. Sort m, 2, k in descending order.\nAnswer: m, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2, 2, -115?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 + x + 1. Suppose -1412*z - 81 - 290 = -1465*z. Let o = 8 + -5. Let d(f) = -o*f + 1 - 8*f**2 - 3*f**2 - 3. Determine z*j(w) + 3*d(w).\nAnswer: 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 2\/4*6. Suppose 16*b = 15*b + m. Let v(n) = 2*n**3 - n**2 + n - 5. Is v(b) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-408)\/(-44))\/(4528\/(-24904))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00084385 rounded to five decimal places?\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 2) + -66 + 57.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c + 11. Let r be h(-1). Find the third derivative of 2*m**r + 3*m**2 + 5*m**4 - 153*m - 4*m**6 + 149*m wrt m.\nAnswer: -240*m**3 + 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -3\/5, 3, -3\/4, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 5*j + 5\/3*j**3 + 5\/2*j**2 + 1\/4*j**4 - 5. Determine b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*n + 4*v - 3, 3*v = 3*n - 15. Suppose -44 - 10 = -3*i. Calculate the smallest common multiple of i and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -0.4. Suppose 3*h - 41 = 1. Let q = -59\/4 + h. What is the third smallest value in -2, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2546075, 2546059, 2546043, 2546027, 2546011, 2545995?\nAnswer: 2545979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 4*b**2 + 4*b - 3. Let p be y(2). Suppose -6*v + 79 = -p. What is the lowest common multiple of 10 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 134955*t + 809738. What is w(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 3 + -1 - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.3 (c) 1.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/5 + 162775983*m**2\/5 + 441600360304536*m + 441600327749340.\nAnswer: 3*(m + 1)*(m + 27129330)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.033? (a) -15 (b) 1 (c) -0.2 (d) 0.2 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 - (8 + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4375, -5459, -6545, -7633, -8723?\n\"Answer: -u**2 - 1081*u - 3293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 2.8. Is 3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s - 31. Let k be p(3). Let c be -4 + (17 + k)*-1*1322. What is c rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4020 - 2641. What are the prime factors of p?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncqciccqcici. What is prob of sequence iqc?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8221976?\nAnswer: 2, 7, 41, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 13. Suppose -3*l - 33 = -0*c + 2*c, -4*c + 2*l - 106 = 0. Let k = 36 + c. What is the highest common divisor of z and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(7\/3)*m)\/m*m)**17)**(-8\/3) assuming m is positive.\nAnswer: m**(-1360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11248 and 4218?\nAnswer: 33744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 21.03. Let y = 0.13 - i. Let g = 0.29 + -5.29. Which is the second biggest value? (a) y (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = -35*i + 21*i. Which is the second biggest value? (a) 0 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z**2 + 0 - 9 + 12*z**2 + 13*z**2 - 2 - 9*z. Let p(b) = -6*b**2 + 4*b + 5. Determine -4*f(n) - 9*p(n).\nAnswer: 6*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 5:47 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - -112000?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 922 = x + 913, -3*j - 27 = -3*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -64*34\nAnswer: -2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**3\/3 + 8*w**2 - 12*w + 5. Let r be t(15). Let i(d) = d**3 - 3*d**2 - 2*d - 3. Give i(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23144100.\nAnswer: 2, 3, 5, 7, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -43*j - 4432. Give k(-103).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 5. Suppose 34 - 3 = 5*k - 2*o, -2*o = k + b. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 4*w + 816 = 676 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1817 + -9036\/5. Let g = l + -211\/20. Which is the closest to 2\/5? (a) 3\/7 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.53 rounded to 1 decimal place?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2061 - -4191. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18d + 23115?\nAnswer: 22e77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 10*t - 2644 = 2*t. Calculate the remainder when t is divided by 170.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) - (-119)\/21. Let h(c) = c**2 + 10*c - 6. Does 15 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 5:23 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1566*y**3 + 1570*y**2 + 2*y - 223887217?\nAnswer: -4698*y**2 + 3140*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -278*j**4 + j + 10484 wrt j.\nAnswer: -1112*j**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004535371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Suppose -4*k + 3*h + 91 = 0, c*k + 4*k + 2*h - 86 = 0. Let d be ((-3)\/2)\/((-12)\/704). Calculate the highest common divisor of d and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*a + 4)*(a**2 - a**2 + a**3) - 18*a**2 - 3*a**4 - 3*a**4 + 7*a**4 - 4*a**4 + a**4 + a**4.\nAnswer: a**4 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 6. Calculate v(-13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -36485845 bigger than -36485846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*3*(-35)\/45\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, t: 5}. What is prob of sequence ttt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 381729 = 381729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b = 167 - 205. Let x be 3 + (0\/2 - 0). Factor 2*n**4 + 2*n + 5*n**x - b*n - n**3 + 2*n**2.\nAnswer: 2*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -13. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093136767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -3*h - 5*k, -5*h + 8*h - h = -6*k + 145 - 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3148 times -5?\nAnswer: 15740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 8:15 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowooloowlooloowlooo. Give prob of picking 1 l and 3 o.\nAnswer: 176\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/14 (b) 0.1 (c) -1\/3 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 6125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1229, -673, 267, 1603, 3347?\n\"Answer: 2*v**3 + 180*v**2 + 2*v - 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03086 - 0.46914. Sort -1, 77, 2, z in descending order.\nAnswer: 77, 2, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-4) + (90\/9 - 7)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 5?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8724?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*m - 5 - 125*m**2 + 89*m.\nAnswer: -125*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.557644 + 0.067254. What is f rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -184657\/5 + 36931. Let h = 343\/519 + 1\/173. What is the nearest to -27 in d, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4826312 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-10))**14\/((u**26\/u)\/u*u*u**(1\/10)*u) assuming u is positive.\nAnswer: u**(1279\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 - -210. What is the derivative of -93*h**4 - 14*h**s - 32 + 5 - 64 wrt h?\nAnswer: -428*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1562*a + 1558*a - 29073*a**3 + 29164*a**3.\nAnswer: 91*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72148126?\nAnswer: 2, 1877, 19219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -1)*18\/10. Let t(i) = 2*i - 14. Let v be t(w). Let d(l) = l**2 - 4*l - 1. Let q be d(5). Solve v = -2*y + q*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3281 - 8423?\nAnswer: -5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 29. What is d(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 135 = -5*p, -3*p - 89 = -3*t - 2*p. Let g = -29 + t. What is the common denominator of 64\/9 and -32 - (-3 - (0 + g))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-43)\/129)\/((4\/6)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, 4, -2\/5, 1620?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -6 - (0 - -5) - (-3 - -4)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -2 + (6 - 6). Let b be (-12)\/(-390)*5 + (-160)\/26. Let o = s - b. Put 0, o, -20 in decreasing order.\nAnswer: o, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {f: 5, z: 6, y: 5, h: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -442*l**2 + l*p**2 + 49*p**2 + 6 wrt l?\nAnswer: -884*l + p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.0086 + -0.0086. Put t, -3, -0.2, -2 in increasing order.\nAnswer: -3, -2, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 41*x**2 - 2. What is the tens digit of d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(0 + 71*n - 3 - 58*n) + 3*n + n - 2*n as a*n + d and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -526, -530, -536?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (2 - 1137*2). Let m = -22771\/10 - q. Calculate the common denominator of (-1*9)\/((-1)\/(-3)) and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from mmjjmmmmjjhjm.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/5 - 232*r**3\/5 - 3916*r**2\/5 - 12848*r\/5 - 11904\/5 = 0. Calculate r.\nAnswer: -12, -2, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28054625?\nAnswer: 5, 103, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -411340, -822664, -1233964, -1645228, -2056444, -2467600, -2878684, -3289684?\n\"Answer: 2*w**3 - 411338*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-42) + 4\/(-6). Let p = 0.21 - -22.79. Let a = p + -20. What is the third smallest value in a, -0.3, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14331124*-9\nAnswer: 128980116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 325 divided by 25\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o - 2*o + o)*(2*o - 3*o + 5*o) + 5 - 2*o**2 - 5)*(-o - o + 0*o).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 12, 19, 46, 99, 184, 307?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/23475 and -61\/24?\nAnswer: 187800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 5, 112, 27 in increasing order.\nAnswer: -32, 5, 27, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -18, -2 in increasing order.\nAnswer: -18, -2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1707 - -1707.00097. What is g rounded to five decimal places?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/((-1976)\/2821) + (8\/80)\/(4\/(-10)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 7\/108*o**4 + 1\/270*o**5 - 8\/27*o**3 - 34*o**2 + 0 + 0*o. Find z, given that k(z) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.5 + -10. Let o = u - 2.5. Let r = -15.17 - -12.17. What is the closest to r in 5, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11894.\nAnswer: 2, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 59 = 5*n - 5*b, 2*n - 5*b - 21 = 0. What is the highest common divisor of n and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scs when three letters picked without replacement from cqvscvvqsv?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76121510 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -26*l + 1117 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = r + 1, 2*i - r - 9 = 0. Suppose -u = i*o - 7, -2*o - 5*u = -6*o + 37. Solve o*x + 0*f - 5*f - 8 = 0, -f = 3*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23158 + -2200. What are the prime factors of y?\nAnswer: 2, 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8939\/(-98329)*1606\/2.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b62 (base 13) to base 10.\nAnswer: -12924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/3 - 61*l\/3 - 20 = 0. What is l?\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/105811 > 501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4225501 and 1.\nAnswer: 0.4225501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046*g - 967*g = -553 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 78600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 104499 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4107ab0 + -16?\nAnswer: 4107a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 9:07 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 4*q - 4. Determine g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-4*9\/(-12). Is (o + 1)\/(-4)*-479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 8683?\nAnswer: -8687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) + (-6)\/9. Suppose l + 5*r - 26 = w, 2*r = 3*l + l - 148. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27426 - 25257. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 152 = -77. Solve -6*v = -v + p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 6*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/8 + 16128\/(-1440)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 0.1. Let f = 0.94 - v. Let g = 0.02 - 0.52. What is the smallest value in f, 2\/13, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 1. Let v(q) = 5*q**2 - 3*q - 5. Let j = -17 + 10. Let t = 12 + j. Let z(n) = t*f(n) - v(n). Find the second derivative of z(b) wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/3*-1*(-6)\/(-30).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1900002 = -2*n - 3*n - 2*i, -5*i = -2*n - 759995. Round n to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 765872 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 1. Let b be c(-7). Let u(q) = 5*q + 667 + 0*q - 668 - 7*q**2 - q**3. What is the remainder when u(b) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/((-1)\/4). Let d(l) = -l**2 + 7*l + 11. Let u(m) = m**2 - 7*m - 10. Let c(g) = -4*d(g) - 5*u(g). What are the prime factors of c(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086828 a multiple of 1761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) 0.21 (b) -2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v - 5*v + 6*v.\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3)\/(2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 40 = -64, -5*w + 226 = 4*b. Calculate the smallest common multiple of b and 483.\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-12) + -2)\/((-1)\/6). Suppose -3*b = -p*i + 91 + 14, 4*i - 189 = -b. Calculate the remainder when 76 is divided by 12\/5*320\/i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -8 (b) -1\/2 (c) 2\/199 (d) 1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20717 - 14734. Does 76 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2798.7 - -2637. Let t = z - -162. Let d = -10 - -7. What is the closest to -0.1 in d, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181680742, -181680738, -181680734, -181680730, -181680726?\nAnswer: -181680722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-5)*21\/(-2). Suppose -2*w - 2*w + 12 = 0. Calculate the highest common divisor of s and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 267125289 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 7*p**2 - 1. Let h be b(6). Let y = -10 + 24. Calculate the highest common factor of y and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) 22\/5 (b) 20 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**10\/7560 - b**9\/540 + b**8\/210 - 13*b**4\/4 + 124*b. Let p(h) be the third derivative of x(h). Factor p(c).\nAnswer: -4*c**3*(c - 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/60)\/(-11 + 86\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17133.32 to the nearest 10.\nAnswer: -17130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**(-12\/7)\/(k\/k**(-5)*(k*k**(2\/5))\/k) assuming k is positive.\nAnswer: k**(-239\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*w + 221*w - 126 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*c**3 - c + 2*c + 0*c.\nAnswer: 61*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = 30. Let l = -5 - -13. What is the remainder when a is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + (-3 - 1 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 24 = 4*g, 5*g - 4*g = -2*u + 29. Suppose -16*z = -u*z. Suppose z = -0*d + 3*d - 363. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-882)\/(-8) - (-2)\/(-8). Suppose -3*q - l = -8*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.1, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5883519 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (35154\/135)\/((-56)\/(-20))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.658989t?\nAnswer: 6658989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -3*a - 44 + 61\/3*a**3 - 1\/2*a**2. List the prime factors of x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h = 28*h - 246 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8328)\/352 + 2\/(-22) and -49\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d55 (base 15) to base 7.\nAnswer: -66056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**3 - 2*o**2 + 47*o. Let p(q) = -6*q**3 + 2*q**2 - 46*q. Give 7*p(u) + 6*r(u).\nAnswer: -12*u**3 + 2*u**2 - 40*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4510365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 12:00 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**3 - 131517*l**2 + 1453351896*l - 261577409616 = 0. Calculate l.\nAnswer: 183, 21828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 12. Let c(z) be the third derivative of -z**3\/6 - 9*z**2. Let v be (9\/2)\/(18\/48). Give v*c(p) + l(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*q + 5. Let g be (3\/(3\/(-5)))\/(-1). Solve 4*b = g*b - q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41, -76, -109, -140, -169, -196, -221?\n\"Answer: d**2 - 38*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2*k**5\/5 - 11*k**4\/2 - 315*k**2\/2 + 397. What is the second derivative of o(f) wrt f?\nAnswer: -24*f**2 - 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-5 + 1 - -2). Let r(q) = q**2 - 8*q + 4. What is the smallest common multiple of 24*(g - 2\/4) and r(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -0.1, 0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 8. Let h(l) be the first derivative of 4*l + 13. Determine -5*h(k) + 2*m(k).\nAnswer: 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 17. Suppose -4*h = 5*g, 3*h + x*g = 2*h - 15. Suppose h*z - 805 = -5*q, -656 = -3*z + 4*q - 159. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (184\/161)\/(4\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890 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: In base 9, what is 136 + -16?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + (-6 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (-5 - -2)) + (7 - (-4 - -3)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -741*u + 26475 - 65007 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5740860 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1293 + 3*d**3 - 1288 - 2*d**3 + 18*d**2 + (-4*d + 3*d - d)*(0*d - d**2 + 0*d) as u*d**2 + l + b*d + c*d**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 10:31 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 19158.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75\/(-9) - 2\/(-6). Let u be 81368\/(-1668)*2\/n. Let h = u + -4\/139. Find the common denominator of 71\/18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448\/231*-3 + 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g = -4*h + 8, -2*h = -2*g - 16. Solve 3*f = -2*f + h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -54*m - 4. Let h(v) = -18*v - 2. Suppose u - 9 = 5. Let a(z) = u*h(z) - 5*w(z). What is the derivative of a(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382a374 (base 11) in base 15?\nAnswer: 8b4352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37638 and 5661?\nAnswer: 1392606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Let r = -1 - -4. Calculate the remainder when 14 is divided by (1 + c)*(2 + r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6792.045 weeks to milliseconds.\nAnswer: 4107828816000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/574 and -97\/98420.\nAnswer: 4035220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3052, -6049, -8922, -11605, -14032?\nAnswer: -16137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-160)\/(-128)*(9\/5 + 1). Let h = x - 115\/34. Determine f so that 0*f**2 + 2\/17*f**5 + 4\/17*f**4 + 0 + 0*f + h*f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422583949.\nAnswer: 3, 311, 2596553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + 5\/(-5)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49140389.2 rounded to the nearest 10000?\nAnswer: -49140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*j + 87, -4*i + 14 = 3*j - 80. Suppose -2*d - 60 = -5*c, -5*d + 2*c = -6*d - j. Let v = d + 64. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j)**14 assuming j is positive.\nAnswer: j**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/10092 and 23\/13932?\nAnswer: 11716812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -460, -689, -918, -1147, -1376?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -278*h**2 + 17*h + 295*h**2 - 17*h. Let r(o) = -62*o. What is r(l(y))?\nAnswer: -1054*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12464011 (base 7) to base 12.\nAnswer: 470967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7515 and 47595.\nAnswer: 142785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(110) - sqrt(110)) - sqrt(110) - 1*sqrt(110)*-2)\/((-4*(sqrt(100) - (sqrt(100) - sqrt(100)*1)))\/sqrt(10)))**2*-4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 + 2*t - 1. Let h be x(-2). Suppose -h = -v + 18. Suppose -41*s + 27 = -38*s. Calculate the remainder when v is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 - -242.2. Which is the nearest to -4? (a) -2 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 0.2, -1.2, 1, 566?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x**3 - 12*x**2 - 13*x + 5. What is the ten thousands digit of t(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 y when three letters picked without replacement from {s: 5, y: 5, c: 3, a: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose -4*h = k + 146, -k + 5*k = -5*h - 188. Let p = 35 + h. Which is the nearest to -1? (a) x (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 19 = -15*v + 11*v, w - 4 = -v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 976338492 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c + 2*s - 16, 0 = 2*s - 2. Let y = 32 + c. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111265 divided by 17?\nAnswer: -6545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 + 24*w - 9*w**2 + 18*w - 67*w + 25*w to h*w + l + n*w**2 and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4393152, 3.\nAnswer: -5, 3, 4393152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 23*k = -48. Find the first derivative of -5*o + 88 + 5*o - 11*o**4 - 11*o**k wrt o.\nAnswer: -88*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f - 1 + 13*f + 13*f - 14*f**2 - 30*f to w*f**2 + n + b*f and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 12 + 20 = 0. Suppose -s*i + u + 1 = -2*u, -25 = 5*u. Let p(v) = -v**3 - 6*v**2 + 4*v + 6. What is the remainder when 105 is divided by p(i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 11) to base 4.\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28058235 = -33*p + 131*p - 10395103. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -218*(2\/(-10))\/((-22)\/(-55)). Let u be 107 + (-1 - -2) + 1. Is s at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/12)\/(5\/60*4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 - 15 = 5*s, -5*s = 15. Let m be (-4)\/(-5)*(-20)\/(-8). Solve d - 2 = m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opbpfbpp. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000048753 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2162 or 15132\/7?\nAnswer: 15132\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/6*(3 - 660\/25). Let d = 228 - c. Suppose -206 - d = -4*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -218*m**2 - 214*m**2 - 6 + 399*m**2 - 69*m.\nAnswer: -3*(m + 2)*(11*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14099 + -14102. Let y = 207 - 1446\/7. Which is the third biggest value? (a) 0.7 (b) -2 (c) o (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668501 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -230 + -4?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 709170 and 18370?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2. Let s(q) = 8*q**2 + 3*q + 2. Let l be s(-1). Let w(z) = -l*z - 16*z + 18*z. Determine w(x(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7475219?\nAnswer: 179, 41761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59133 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 6*i**2 - 5*i - 48. Let z be c(-4). Solve -z*j - 19 = -3*p, 3*p = -2*p - 5*j + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2. Let c = 36 + -32. Suppose 0 = 3*o - c - 11. Let r(f) = 10*f**2 - 25*f + 20. Let y(i) = o*s(i) + r(i). Suppose y(t) = 0. What is t?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1248 + -1236. Solve -34*n = -32*n - a for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 35 = -2*y. Suppose -y*v = -a - 2 - 1, 1 = v. Calculate the smallest common multiple of 10 and a\/((-5)\/(-20)) + 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18583.88mm in kilometers?\nAnswer: 0.01858388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmx when three letters picked without replacement from dddmdfhxxxdd.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -115043531 (base 7) to base 8\nAnswer: -33326041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**2. Let b(n) be the first derivative of 2 + 0*n**2 + 3 + 0*n**2 + n**2. Determine b(m(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 40800?\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29282, 117080, 263398, 468242, 731618, 1053532?\n\"Answer: m**3 + 29254*m**2 + 29*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3651207*p + 1. Let n(w) = -2*w. Calculate l(n(y)).\nAnswer: -7302414*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86006?\nAnswer: 2, 43003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/b**3)\/b))**(-3\/10)\/(b*b\/b**(-10)*b**(-4)) assuming b is positive.\nAnswer: b**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2. Let n(a) be the first derivative of 6*a**2 + 5 - 7*a**2 + 3. Give n(j(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24308*j**6 - 92677*j**2 wrt j?\nAnswer: 2916960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 12*i - 42. Let j be g(-15). Which is the smallest value? (a) -2\/3 (b) j (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -2. Let x = 4.3 - 0.3. Which is the closest to l? (a) 2 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 330319.4 millennia?\nAnswer: 3963832800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = -6993. Find the common denominator of -29\/10 and ((-1)\/(-3))\/((-140)\/q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279649219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473656408 to the nearest integer?\nAnswer: 21764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0 + 0*a - 16*a**2 - 2\/5*a**3 = 0.\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 92 (c) 1\/9 (d) -393\/2 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 42 = -3*m - 2*y, 3*m - 37 = -4*y. Let h(d) = d**2 - 16*d - 9. Let f be h(m). Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-8 + 5))\/(8\/(-4)). Suppose -5*f - f = y. Let k be (-152)\/(-234) - 4\/6. Is k > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, g: 1, f: 2, d: 4}. Give prob of sequence nfdd.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**4\/q)**14 assuming q is positive.\nAnswer: q**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12774 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: Evaluate -42 - (-30 + 15 + -13 + 13).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 552*h*m**3*n**2 - 2*h*m*n**2 - 2*h*m - 146*m**3 - 3*n wrt n.\nAnswer: 1104*h*m**3 - 4*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6616391 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -46*n. Let k(h) = 325*h - 55. Let p(f) = 12*f - 2. Let w(v) = -2*k(v) + 55*p(v). What is w(m(r))?\nAnswer: -460*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -27 + 127. Suppose 0 = 3*y - l - 10. Solve 3*p - 2*p - 3*d = y, 5*p + 7 = -4*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrmrmrrmrrrmm. Give prob of sequence mm.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517900 rounded to the nearest 1000?\nAnswer: 518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 2. Let a be n(4). Let j = a + 1. Suppose j*x + 4 = x + 4*l, 0 = -4*x - l + 19. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 25 = -0*f. Let w be (4\/(-10))\/((-11)\/f). Suppose -2*s - 34 = 4*q, -6791*q + 6788*q - s = 22. Which is the smallest value? (a) w (b) q (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 778*a + 1534. Determine z(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + 1097. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*c - 21 = 0, -17 - 1 = 2*u + 4*c. Let x be (3 - (5 - 1))*(u - 1). Suppose -x*m + 170 = 10. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -18, -21, -22, -21, -18, -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 49 = -3*l, 5*j + 4*l - 15 = 13. What is the remainder when 27 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/787, 4, -3, -2049?\nAnswer: -2049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21168330 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -727645.\nAnswer: -3638225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and 0.26.\nAnswer: 6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.93 + 102.93. Let l = 107 - j. Let s be 6\/20 + 36\/(-45). What is the closest to s in l, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -24*o + 3. Let x be t(9). Let h = 11 - x. Suppose -5*l - 94 = -3*k, l - 73 = -2*k - 19. Calculate the greatest common divisor of k and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 11*q + 12. Let z be f(-11). Suppose -8*s + 2280 = z*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -3 (c) 3\/158 (d) 4 (e) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) - (285\/(-9) + 3). Find the second derivative of 29 + 4*u - 8*u**5 - o wrt u.\nAnswer: -160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 + (-16080)\/336)*(-8)\/6 + -9.\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133504.14 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 67 = 5*y + u, -5*y = -u - 77. What is the greatest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*s + 12 = -s, 3*u + 3*s = 9. Let f = -11 + 9. What is the closest to f in -0.2, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26829264 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1067281*d**2 + 1067278*d**2 + 1 - 1.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.4 (b) 0.1 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -368.9 and 454.\nAnswer: -167480.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-45)\/96)*5. Let l be 5 - 1 - (-4)\/(-1). Suppose l = 5*o - o - k. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - 4*t**2 + 3*t)*(0 - 1 + 2)*(-112 - 243 + 17)*(1 - 2 + 0) to s*t + r + q*t**2 and give q.\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 29 = 2*g - 3*z, 3*g + 5*z = 27. Let s(f) = f**2 - 8*f. Let r be s(g). What is the units digit of 12\/r*(-8)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 245674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*g + 66*g - 138 - 136*g to j + b*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -52*y**2 + 424*y + 15841. What is n(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 15, -3*d - 382 = 4*t - 757. Suppose n - 4*n + 33 = 0. Calculate the remainder when t is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*(-1 + 1 + sqrt(1053)).\nAnswer: -144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 25 = 0, 2*i + 4 = -w + 23. Suppose -102 = c - i*c. What is the highest common factor of c and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1335.1674831 to the nearest ten.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 3*w**2 - w + 4. Let t = 17 - 14. What is h(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 2*m**3 - m**2 + 4 + 1. Let w = 0 - 0. Let c be t(w). Solve 4*a = d - 10, -c*a + 9 - 29 = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:23 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2270696215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + 2 + sqrt(1088) + sqrt(1088) + -5)**2 - ((sqrt(1088) + 1)*-2 + (-5 + 1 + sqrt(1088) - sqrt(1088)))**2.\nAnswer: -352*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/141 + -982\/705. Let h = -1\/37 - -77\/111. Sort h, 2, c.\nAnswer: c, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 205910660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 94.\nAnswer: -12\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (0 - 0) - (-1363 - -1360) - -15.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 25.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*x - 78 = 398*x. Let z = 2 + 2. Suppose -30*l - l + 31 = 0. Solve -l = z*w - x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 181819103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7511 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 2\/3*y**3 + 0*y**4 + 2\/21*y**7 + 0*y**2 + 0 - 4*y + 0*y**6 + 0*y**5. Find the second derivative of g(m) wrt m.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from iliiulz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.047852? (a) -4 (b) -1\/7 (c) 3\/8 (d) -0.4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003452 rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8 = -2*t, o - 4*t = 11 + 5. Which is the third smallest value? (a) -0.2 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y + 46. Let j be k(-18). Let t = j - -436. What are the prime factors of t?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15 + 13.85. Let u = g + -15. What is the biggest value in 3, u, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:01 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 76.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3716 + 10558 - 3717 - 3125 + 122*z**2.\nAnswer: 122*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66*(-14)\/(-1155))\/((-51)\/(-15) - -1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3\/2 + 15*w**2\/2 - 75*w\/2 + 1. Factor q(j).\nAnswer: -3*(j - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 7. Let b be q(5). Let o be b\/(-6) - 307219\/(-2). Suppose 2*x - 446391 = o. What is x rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10419 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15a7399 + 4?\nAnswer: 15a739d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 1 (c) 0.23 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 7}. What is prob of picking 1 x and 1 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (69\/46 + 0)\/((-5)\/2). Suppose 4*g = 11 + 5. Which is the nearest to g? (a) -4 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52379 - -5.38\nAnswer: -52373.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g + 15. Determine i(-11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 92*g - 1701. Give v(-111).\nAnswer: -3810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91 in -3\/11, -1\/7, 0, 3\/5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8*(-60)\/(-384) + (-11230)\/(-8)?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 11) to base 7\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -919 less than -7089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 8*j + 240 = 0. Suppose 3*t - 23 = 4*u - 6*u, 5*t + 5*u - j = 0. Calculate the lowest common multiple of t and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 1. Let k be v(6). Let b be 2 - (4072\/56 + 2\/k). Let s = b + 132. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290028 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11661904 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319210677 to the power of 1\/2, to the nearest integer?\nAnswer: 48158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 divided by 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/19019 and 43\/13832.\nAnswer: 152152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {h: 11, v: 2, g: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 255779\/18 + -14204. Calculate the common denominator of i and 151\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309 = -136*l + 69*l + 108 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, -16, -45, -84, -133?\n\"Answer: -5*t**2 - 4*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 3*b + 17. Let c be f(-7). Let d = 1 - c. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5056, -40577, -136998, -324769, -634340, -1096161?\n\"Answer: -5075*t**3 + 4*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*x - 5*x + x)*(4*x + 8*x**2 - 4*x + (-1 + 1 + 2*x)*(0*x - 2*x + 0*x) - 4*x**2 + 3*x**2 + 2*x**2)*(3*x + 0*x - 7*x).\nAnswer: -280*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*m + 12, -16*m + 17 = 3*l - 18*m. Suppose 43 = l*a + 2*t, 3*t - 2*t - 18 = -2*a. What is the remainder when 32 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2217539.42 to the nearest one thousand.\nAnswer: -2218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -283861889\nAnswer: 85158566.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1840 and 640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 21*w**3\/4 - 5661*w**2\/8 - 95715*w\/8 - 10125\/4 = 0.\nAnswer: -15, -3\/14, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 11\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1113511 (base 6) to base 7\nAnswer: -323623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2172004 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 3*h + 3*h + (-2*h - h + h)*(1 - 3 + 1).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2646 and 53541?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 8*u + 2. Let z be w(-8). Suppose 29 = 4*b - z*y + y, 2*y + 10 = 2*b. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16*q + 95. Let v be ((-9)\/5)\/(105\/(-350)). Let x be g(v). Suppose 0 = -2*j + 7*j - o - 10, 5*j + 4*o = 10. Put j, x, -4 in ascending order.\nAnswer: -4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxqqvqw. What is prob of sequence vk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + 16 + 5*c**4 - 3*c - 14 to the form q*c + k + j*c**3 + h*c**2 + n*c**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105\/113 or 0?\nAnswer: 105\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -666901\/24 + 27792. What is the common denominator of k and -7\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2808 and 2397.\nAnswer: 2243592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 14*r = -2*l - 8, -4*l + 32 = -2*r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 6:50 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 375615 + -262812. Let y = 452803 - i. What is y rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 + 4*j**2 + (17*j**2 - 7*j**2 + 4*j**2)*(4 - 3 - 2) + (-5*j**2 + 3*j**2 + 4*j**2)*(3 - 2 + 0).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 1. Let c(q) = q**3 + 5*q**2 + 10*q + 9. Let n(w) = -c(w) - 5*x(w). Let g be 3*4\/4 + 58. Let s = -65 + g. What is n(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 146, -3, 1?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -f - 2*k - 3*k, -2*f + 3*k + 3 = 0. Let p = 9 - f. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.2, 3\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-55) - 119\/310. Let w = u + -127\/186. Which is the closest to w? (a) 3 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * 112778.\nAnswer: 3721674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 2*i - 46 = 0, g - 48 = 3*i. Suppose -18 = -5*h + g. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -194d (base 16) to base 11.\nAnswer: -4959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 318, 386, 510, 702, 974, 1338, 1806?\n\"Answer: 2*c**3 + 16*c**2 + 6*c + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {o: 4, b: 2, f: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223\/72 + -23\/8. Which is the nearest to 2? (a) -1 (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-3))\/(-1 - (-25)\/15). Is 105 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -230?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-12)*(1 - (2 + -1)). Suppose -8*b = -4*b + 3*p - 24, 0 = 3*b - 5*p - 18. Let t = 7 - b. Put t, y, -1 in ascending order.\nAnswer: -1, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1990865 and -0.36?\nAnswer: 716711.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88774, -177566, -266314, -354994, -443582, -532054?\nAnswer: -620386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -469.5 times -0.053?\nAnswer: 24.8835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = d - 64, 2*d = -3*o + 24 + 69. Suppose -3*r = 2*z - 26, -5*r = 2*z - 25 - 9. Calculate the remainder when d is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0 + 0*o**3 - 6*o + 0*o**2 - 1\/3*o**4. Let j(s) = -3*s**2. Give b(j(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*k**2*o**2 + 10*k*o + 2*k - 2*o**2 wrt k?\nAnswer: -150*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 27. Let v be y(10). Which is the nearest to -1\/24? (a) 1\/4 (b) 4 (c) v (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -0.0587 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, -28, -133, -320, -607, -1012?\n\"Answer: -3*d**3 - 14*d**2 + 22*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*u - 4, 0 = -5*c - 4*u - 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 17*y**2. Let b be z(17). Suppose -3*l = -2*l. Solve -3*k = a - 10, b = -a + 4 - l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 19, 3, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325, 322, 319, 316, 313, 310?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/184*16*4\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56050993 to the nearest integer?\nAnswer: 7487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**3\/6 + 9*k**2\/2 + 2*k. Suppose 3 = 7*x - 2*x - c, 2*x - 3*c = 9. Determine n(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(1053))**2 - ((sqrt(13) + 5)*-5 + -1))*-5.\nAnswer: 245*sqrt(13) + 5180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255950635 to the power of 1\/3, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18192058223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 872262350 divided by -25\nAnswer: -34890494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + -11 - (-86)\/30. Sort -0.09, x, 3 in ascending order.\nAnswer: x, -0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**7\/7 + 14*u**6\/3 - 12*u**3 + 28. What is the third derivative of h(k) wrt k?\nAnswer: 120*k**3 + 1680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) 231 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175\/4 <= 293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 125. Let l = w - -112. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1. Let h(m) = 6*m + 18. Let j(u) = h(u) - 12*k(u). Let o be j(-8). Is (-1374)\/o + 6\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 4\/7*h**2 - 345*h + 5\/42*h**4 + 17\/42*h**3 + 0 + 1\/140*h**5. Factor a(d).\nAnswer: (d + 1)**2*(d + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-4)\/(-1 - -3). Let x(k) = 2*k - 4. What is the lowest common multiple of 1 and x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(((-2)\/(-7))\/(4\/7))\/((-1380)\/(-276))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3149)\/(-396)*(-272)\/240 + -2 + 11 and 61\/198.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-11 + 8 - -8) - 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from {v: 5, q: 2, b: 3, i: 3}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1679633*h**2 + 10*h - 10*h - 26 - 1679636*h**2.\nAnswer: -3*h**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16320 = -9*k + 29*k. Suppose -4266 + k = -6*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 23*y + 27. Let j(l) = 33*l + 41. Determine -5*j(a) + 7*z(a).\nAnswer: -4*a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64471764 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.2 - 14.2. Is c < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19614 and 190386.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + m - 4 - 48, 2*s - m = -24. Let f be (-13)\/(-2) - (-7)\/s. Solve -5*p + 2*p - f = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-272)\/168*9)\/((-2)\/28). Let f = -13 + p. Calculate the smallest common multiple of f and 9.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 11:09 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/(735\/14) - 34\/(-6). Let m(c) = 26*c**2 + 6*c - 8. Let i(j) = -25*j**2 - 5*j + 7. Give d*m(l) + 6*i(l).\nAnswer: -20*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 81422, 323636, 727326, 1292492, 2019134, 2907252, 3956846?\n\"Answer: 80738*c**2 + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 + 22 - 52 + 30.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 28*f - 42*f. Suppose -3*i = -5*x - f*i + 462, -357 = -4*x + 5*i. Which is greater: 0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/10 + 960*t**2 + 317647*t\/10 + 1165593\/5 = 0. Calculate t.\nAnswer: -22, -11, 9633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 60, 453, 1114, 2049, 3264, 4765, 6558?\n\"Answer: u**3 + 128*u**2 + 2*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 5. Let m = -5585 - -5641. Calculate the least common multiple of a and m.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -537 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1324029 and 51?\nAnswer: 22508493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*j + 30250, -5*i - 2*j = -55664 + 17852. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200 + 346. Let z = -53 + i. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 343933380 and 11593260?\nAnswer: 1031800140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121634 - 121637. Let q = -18 + 17.3. What is the nearest to q in -2\/13, 0.2, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693\/396*(4\/2)\/((-16)\/(-96))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89609278 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019 a factor of 6954675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 13*b - 12. Let g be h(9). Suppose -g = 4*f - 48. Is ((-54)\/7)\/(f\/(-42)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Suppose -o - 4*d = -4*o + 7, -o + d + 3 = 0. Let t be (-30)\/(-72)*2\/o. Sort y, -5, t.\nAnswer: -5, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7140085 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-14)*2\/21*7. Let i = 3.5 - 4. Let v be (2\/27)\/((-2)\/(-6)). What is the closest to r in i, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 3. Let k be a(9). Suppose 2*p = k*p - 8. Suppose -4*w - 3 = 5*v - 0*v, -4*v = 12. Solve -6*y + w*y + 8 = -p*b, -3*y - 2*b = -16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229 + -224.66. Let q = 0.66 + p. Let x = -23 + 21. Which is the second smallest value? (a) q (b) x (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhttfrhffwff. Give prob of picking 1 f, 1 h, and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 1, n: 2}. Give prob of picking 2 y and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 742818 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*o - 28 = 0, 0 = 147*r - 142*r - 3*o - 72. Let g(d) = -5*d + 49. Determine g(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022121 + -22?\nAnswer: 11022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 716.63081 to one decimal place.\nAnswer: 716.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202 + 11?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyq when three letters picked without replacement from qxrayrrr?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 12. What is the remainder when g(0) is divided by 20\/35 - (-135)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(5\/10 - (-58)\/4). Let y(j) = -98*j - 25. Let m be y(-5). What is the highest common factor of m and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17778822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3.1. Let z = -4077\/11 + 371. Is z at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.94, -0.3, 3\/11 in increasing order.\nAnswer: -2, -0.94, -0.3, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -355 + 358. Calculate the smallest common multiple of 117 and p.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d + 7. Let v(l) = -6*l - 2. Let x(h) = -1. Let g(i) = -v(i) - 2*x(i). Let t be g(-3). Let n(p) = 2*p + 3. Determine t*n(s) + 6*m(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -25) + 0 + (-10 - -29)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 991 times 0.2163\nAnswer: 214.3533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 15*y**3 + 36*y**3 + 4 - 23*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 - 5 + 6*k + 12 + 6*k**2. Let r be q(-5). What is the units digit of 17\/r + 1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 3*z**3 + 488*z + 0*z**4 - 492*z - z**2 to the form t*z**4 + v*z**2 + x + f*z**3 + c*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -88, -209, -330, -451?\n\"Answer: -121*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.1920557us?\nAnswer: 192.0557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641 = 18*g - 677. Solve h = g*c + 6, 5 = 2*c + 11 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 5)*(15 + 6 - 2 - m) + 2*m - 3*m + 0*m.\nAnswer: -5*m + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(35) + sqrt(140)\/sqrt(4)*-1 + sqrt(35) + (sqrt(560) - -1*sqrt(560)))\/(sqrt(50)\/(sqrt(10) - sqrt(640)*6)).\nAnswer: -423*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 9, -a - 3*v = 4*a - 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1984176*j**2 - 19841760*j - 2. Determine d(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1004.7\nAnswer: 4018.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 652.3 * 0.6.\nAnswer: 391.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 708*x**2 + 689*x - 6003. Determine j(-353).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7 + 4.7. Let h = u - -6. Which is greater: h or 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 - 2. Suppose -u = -2*h - 0*h. Calculate the remainder when h is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by 186\nAnswer: -104\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/((-120)\/84).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -110, -290, -542, -866, -1262?\nAnswer: -1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 - 167052 - 167217 + 334268.\nAnswer: -15*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*z + 106 = 0, -32 = 2*i + 5*z - z. Let c be (6\/i)\/((-6)\/(-5)). Let p be 1\/((-64)\/(-16) - 9). Put p, 12, c, 4 in descending order.\nAnswer: 12, 4, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3052760 + -39763\nAnswer: 3012997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-432)\/7560)\/((8\/20)\/(1*2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**4\/24 + v**2. Let r be n(-6). Calculate the common denominator of -61\/2 and 0 - (-3)\/r*43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*y + 139*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -12*n + 1157. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -15*z + 1. Calculate the lowest common multiple of p(-1) and 12\/(-3) + 30 + -24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301 - -21102220?\nAnswer: 21100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**4 - 40617975*n**2*t**3 - 45*n*t**3 - 3760*n*t - 19 wrt n.\nAnswer: -36*n**2 - 81235950*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvawwyytwv. What is prob of picking 1 v, 1 t, and 2 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000007015419 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.22327608 and -0.238?\nAnswer: 0.98527608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4\/7 + 8*n**3\/7 - 6*n**2 = 0.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*n**4 + 24*n**2 - 70*n**4 - 9*n**2 + 163*n**4 + 32*n**5 + 7*n**3 + 159*n - 2 wrt n?\nAnswer: 1920*n**2 - 48*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2105777 (base 9) in base 12?\nAnswer: -4638b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:46 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 565, -2, -3, 5, -26, -4, -5 in descending order.\nAnswer: 565, 5, -2, -3, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17 - 30)\/((-2)\/4). Suppose h*j - 36*j + 60 = 0. Let y(x) = x**2 + 2*x - 10. What is the remainder when y(j) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45\/2 + 23. Let t(d) = d**3 - 4*d**2 - 2*d - 20. Let s be t(5). Let i = 4 + -4.4. What is the third biggest value in s, i, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8300 - 8300.0644. Which is the third smallest value? (a) j (b) 4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8472*y = 8467*y - 2120. Suppose -5*s - 2081 = k, -2*k + 4*s - 4162 = -0*s. Let w = y - k. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 49. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-20)\/(-3) + 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 13*m + 23. Let b be v(11). Let t(d) = d**2 + 6*d + 6. Let w be t(-5). Let x be 1*b\/(w\/(-3)). Put x, 0, 4, 5 in descending order.\nAnswer: 5, 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 + 439\/5. Find the common denominator of -139\/6 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5733*-1.\nAnswer: 0.5733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 1. Let t(y) = -3*y**2 + 16*y + 2. Let k(j) = t(j) + 2*x(j). Determine q, given that k(q) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 - 5 = 5*a, -4*c - 11 = 5*a. Let d be 1 + a - -1*260. Is 43 a factor of (d\/4)\/((-6)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -235522, -942125, -2119802, -3768559, -5888402, -8479337?\n\"Answer: -o**3 - 235531*o**2 - 3*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 2.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.39 + -13.09. Let g = u + 11.2. Let t(o) = 3*o + 3. Let h be t(-2). Which is the smallest value? (a) -1 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/3 - 149225*y\/3 - 149240.\nAnswer: 5*(y - 29848)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*4\/(-8)*-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxukouupxkpuuu. Give prob of picking 3 k and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2 - 660*h - 655 = 0.\nAnswer: -131, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or -54\/11?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*x + p + 119, -84 = -2*x + 5*p. Calculate the remainder when x is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17 = -4*n, 5*k = k - 5*n + 23. Let w(i) = -i**3 + 5*i**2 + 7*i - 8. Let u be w(6). Let x = u + k. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 2682*u - 4844*u - 5556*u - 16*u to the form q + f*u**2 + i*u and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 - (36 + (-2 - 13) + 16 + -8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/6*(2 - 1). Suppose r*h + 2*h = 646. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1347832, 5391319, 12130464, 21565267, 33695728, 48521847, 66043624?\nAnswer: 86261059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52*t + 40*t - 407*t)*(-1 - 4 + 3) + 3*t - 3*t - 2*t - 2 to k*t + u and give k.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 504 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - (-1461)\/9. What is the highest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719.476kg in tonnes?\nAnswer: 1.719476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1157946890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/28 and -13\/1925.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k - 50 = 28*k. Let y(f) = 20*f**2 + 14*f - 42. Does 66 divide y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1704 and 19496.\nAnswer: 4152648","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4 (b) 2 (c) 11545641 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1594\/(-38) + (-2592)\/49248.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 71887 = -3*y - 17*c, -3*y = 4*c - 71927. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 44. Let t be (-1150)\/(-8) - w\/8*-2. Let h be (-750)\/(-21) + 4\/14. What is the highest common divisor of t and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/30 - 13\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -462 + 469.02. Let i = k - 7.02001723. Round i to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1096007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38059.9704779 + -0.5.\nAnswer: -38060.4704779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(9\/(-12)) - -108 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4279513 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1811*l + 3047*l + 280480 + 7220 = 1022*l for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1082 + -923. What is the remainder when i is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 160 = 5*o, 0*o + 4*y = o - 20. Suppose 2*z + 3*t = -50, -z + t - 30 = 5*t. Let x = z + o. Solve -j - x = -3*j + 3*l, -7 = 5*j + 3*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187.8 + 169. Let k = -16.8 - w. What is the second biggest value in k, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 1509*h + 243800.\nAnswer: (h + 184)*(h + 1325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3609330500 to the nearest 1000000.\nAnswer: -3609000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = 3*n. Suppose -9*j = -7*j + n. Calculate the smallest common multiple of 2 and (6\/j)\/(9\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j + 402. What is the remainder when q(-43) is divided by 69?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -204, -195, -0.4 in decreasing order.\nAnswer: 2, -0.4, -195, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/3 - (3 - (-33)\/(-9)). Let m be (-5 + 192\/40)\/((-3)\/5). Let g = 0.793 - -0.207. Which is the fourth biggest value? (a) -0.2 (b) m (c) g (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -469*j**4 + 38*j**2 + 201209 wrt j?\nAnswer: -1876*j**3 + 76*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -33. What is the remainder when 18 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 - -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 33 = 5*l, -2*b - 20 = -2*l - 6. Suppose 0 = l*t + 98 - 263. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-117)\/(-13))\/(-9) - (-1745)\/(-6). Which is greater: -291 or z?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-315)\/(-14)*12\/15. Let f be -3 - (1 + 1) - -3. Let s be (15\/f)\/((-6 - -4)\/12). Calculate the greatest common divisor of n and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*p - 12, -4*q - 300 = -4*p - 308 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 96. Let u = -17 + y. What is the units digit of u\/9 + (-14)\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3586 - -1342. Do -2243 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 20, 58, 132, 254, 436, 690, 1028?\n\"Answer: 2*h**3 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4445474.\nAnswer: 2, 11, 202067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -h + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58130.08mg to tonnes.\nAnswer: 0.00005813008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Let l be 164\/(-20) - (-4 - 1). What is the second biggest value in -0.3, l, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**2 - 14 - 17*t**2 + 3*t**2 - 19*t**3 + 12 - 336*t - 11*t**2 wrt t.\nAnswer: -114*t - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 2.2. What is the second biggest value in 0.3, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 28 - 25 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 2. Let o be (-2306)\/90 + (-14)\/14. Let g = -132\/5 - o. Which is the second smallest value? (a) 4 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003842111 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 88 = -4*u, -2*u - 465 + 813 = 16*k + 52 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*3)\/((-6)\/4). Let i be ((-2)\/6)\/(5\/(-105)). Let a be (-2)\/i - (-108)\/84. Solve f*x = -5 + a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (4 + 0)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66903 and 15.\nAnswer: 334515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from zzazfwzifzzvwzifvwv?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 5*k**2 - 3*k)*(k + 2*k**2 - 3*k**2 + k).\nAnswer: 5*k**4 - 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 47*y**2 - 7*y + 4. Let c(x) = 16*x - 26. Let r be c(2). Is b(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 5504950.\nAnswer: 49544550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -16, 8, -2, 2.\nAnswer: -16, -4, -2, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5.164, 0, -1, -4 in decreasing order.\nAnswer: 5.164, 1, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m**3 + 5 + 0 - 7 + m as k*m**2 + w*m**3 + r*m + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from qqfqqqqqddfqqdqffqd.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 3)*(c - 3*c + 0*c)*(2*c + 3*c - 3*c)*(-3 + 2 + 2)*(2*c**2 + 2 - 2) in the form j + k*c**3 + t*c + m*c**2 + q*c**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 - d**3 - 2 + 4*d**2 + 0*d**2 + (0*d**2 - 2*d**2 + 0*d**2)*(-3*d - 3*d + 4*d) to the form k*d**3 + n + b*d + w*d**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4 + 1132*d**3 + 31730*d**2 + 172916*d + 142320 = 0.\nAnswer: -20, -6, -1, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -16. Which is smaller: -15\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/2 + 312046*h**2 - 4992687*h\/2 + 4680630 = 0. Calculate h.\nAnswer: 3, 5, 624084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(96) + (sqrt(28) - (sqrt(28) + 1))**2 - (sqrt(343) - (2*(sqrt(343)*1)**2 - sqrt(343))).\nAnswer: -55*sqrt(7)\/4 + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 442917.\nAnswer: 885834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 523 and 5062117.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 7. Let r(m) = m + 4. Let b be r(h). Let k = -6 + b. What is the remainder when 11 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35330280 to the nearest integer?\nAnswer: 5944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*w + 405, 2*q - w + 225 + 45 = 0. Let v = 326 + q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 10. Let m(f) = -9*f + 72. Let w(y) = 36*c(y) - 5*m(y). Let d(k) = 3*k + 2. Let g(a) = -a - 1. Let p(x) = -d(x) - 2*g(x). What is p(w(z))?\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 408*l + 71398. Give s(-175).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 34*t**2 + 2. Calculate the remainder when 106 is divided by u(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306134?\nAnswer: 2, 153067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -32. Solve -7 + f = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-294)\/(-4669)*((-16)\/6 - -3). Let q = v + 50566\/6003. Find the common denominator of ((-188)\/48)\/(1 + 0) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3319\/5036 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*f**4*g**2 + 43*f**4*g + f**2*g**2 + 2*f**2*g + 5*f**2 + 3*g**2 wrt f.\nAnswer: 408*f*g**2 + 1032*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.030646 - -4.049. Round g to 4 decimal places.\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*d**2 - 40485*d**3 + 40489*d**3 + 587*d**2.\nAnswer: 4*d**3 + 456*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*y + 59*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(8\/5)\/v*v**(1\/3)*v*v**(-1\/5)*v*v*v**(-4) assuming v is positive.\nAnswer: v**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 84740*r**3 - 336525*r**2 - 10640*r + 3600 = 0. What is r?\nAnswer: -9\/76, 20\/223, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 269.24078 + -268.9. What is q rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.0251 rounded to zero decimal places?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllll. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 11:47 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = o - 180, -5*u + u = -4*o + 784. Is o a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 5427?\nAnswer: 64\/1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2279257411.\nAnswer: 1709, 1333679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o**2 - 27*o**2 + 116*o**2 - 27*o**2 - 27*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/110)\/(2\/(-10)) - 594\/3267. Is x less than 401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.6961 rounded to zero dps?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -46975564 divided by -4?\nAnswer: 11743891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 10*i**2 + 12*i + 7. Let s be c(-9). Let j be (-9)\/(-166)*s\/(-15). Let a = j + 5371\/332. What is the common denominator of 7 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/12 - -3)\/(2\/8). Let w be 3*(-4)\/(-102) + 32\/g. Solve -49 - 9*u**3 + 3*u**2 + 8*u**3 + u**2 - 63*u - 19*u**w = 0 for u.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) - (sqrt(384)*2 - sqrt(384)))\/(-2*sqrt(18)) - ((2 + sqrt(432)*1 - sqrt(432)) + 2 + sqrt(432) + -1)**2.\nAnswer: -441 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let m be (-18)\/22 + 10\/(-55). Let b be n(m). What is the units digit of b + -5 - -5 - -56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -254 bigger than -283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 67 = -523. Suppose -2*a + k = 72. Solve 4*h = z + 2*h - 1, 5*z = h + a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 76107 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - d = 3*z + 7, 3*z = -3*d - 9. Let a = z - -3. Let h = 0 + a. Solve -2*g - 18 = -t - 4*t, t - h*g = 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 14*i)*(2*i**2 + 2*i - 4*i**2 - 2*i**2) + 4*i**3 - 4*i**3 - 2*i**3 + 23*i**3 + 33*i**3 - 33*i**3.\nAnswer: -35*i**3 + 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (15 + -7 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -j - 1, 4*j = 6*l - 4*l - 2. Solve j = -4*x - x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/2*45\/75.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 104\/(-18) - (-18)\/(-81). Let q = f + 11. Suppose 3*i - 3*b = 75, 6*b = -q*i + 3*b + 93. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3, -0.4, -10, -284.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.17872506 and -4645.\nAnswer: -4645.17872506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-21) + 2\/(-7). Let w = k - 2. What is the units digit of -5 - -4 - (-7 + w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 138, 8\/3, 15?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -cb150 (base 14) to base 7\nAnswer: -4114530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23834*h**2 - 31488*h wrt h.\nAnswer: -47668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 + 157. Is 45 not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = -2*d + 26, 4 = -2*d. Let k(i) = 10 + 4*i**2 - 4*i + p - 11. Determine k(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -1\/25*u**5 + 1\/30*u**4 + 1\/75*u**6 + 0*u**2 + 0 + 0*u**3 + u. Factor l(b).\nAnswer: 2*b**2*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + 25. What is the greatest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2684 + -15959\/6. What is the common denominator of -71\/56 and r?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let q be -1 + f + (-3)\/(-1). Suppose -q*s + 0*s = 4*t - 11, 0 = -3*t + 5*s + 17. Calculate the remainder when 13 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -19*m + 21*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 21)*2\/(-5). Suppose 60 = 3*n + 2*n. What is the highest common divisor of n and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.10995 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*n + 84*n + 207 = 0. Find the common denominator of 63\/88 and ((n\/(-10))\/(15\/20))\/8.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/4 + 529*a - 1059 = 0.\nAnswer: -2118, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 128818757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*(sqrt(325) - (sqrt(325) - (sqrt(325)*2 + sqrt(325)))) - sqrt(325) - 3*(sqrt(325) + -1)))**2*-4.\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (2 + 1)*1. Let c(y) = -t + 1 - 1 - 5 + 2*y. Let w(j) = -j + 3. Let o(f) = -6*c(f) - 15*w(f). Differentiate o(v) wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*x**5\/2 - 279*x**4\/2 - 39*x**3.\nAnswer: -3*x**3*(x + 13)*(7*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6820552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**26)**34*(m**(-1))**(5\/3)*m**1*m**(-6) assuming m is positive.\nAnswer: m**(5284\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g - 36*g = 672. Suppose -5*l = 4*f - 74, l - 11 - 2 = f. Calculate the highest common factor of g and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130453 is divided by 223.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 986*z**3 + 36*z**2 - 1 + 1 - 36*z**2 - 766*z**3.\nAnswer: 220*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.1 (b) 3 (c) -2 (d) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3))\/(9\/27*4). Solve m = -v + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1140 - 3*v**3 - 1140 + 13*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18200234 - 435\nAnswer: -18200669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33189 and 1245309.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1261537*k**4 - 4*k + 27577 wrt k?\nAnswer: -15138444*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 603126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3 - 8*d**4 + d**4 - d**3 + 11 wrt d?\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -89663*m**3 + 3*m**2 + m + 9. Let s be o(-7). Suppose d = -0*d - s. Let q = d + 43154558. Round q to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1338, 190.57, 0.6 in decreasing order.\nAnswer: 190.57, 0.6, -1338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3847381613 to the nearest integer?\nAnswer: 62027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261495269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45002 is divided by 7497?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3716)\/(-36) - 3 - (-4)\/(-18). Is 201840\/l + -1 + 8\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + sqrt(192) + -3 + 4 + 2*sqrt(192) + -1 + sqrt(192))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (154\/2)\/(9654\/1206 + -6 + -2) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 15*u + 3*u + 0.\nAnswer: 18*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j + 5*j - j + (-18*j + 12*j - 4*j)*(-2 + 5 + 2).\nAnswer: -55*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3*v**3 + c**3*v*y - 824*c**3 - 2*v**3*y**2 + 8*v*y**2 wrt y.\nAnswer: c**3*v - 4*v**3*y + 16*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59241*b = 59244*b - 3*j + 9, -12 = 3*b - 4*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d - 10 = 0. Let y(m) = -11*m**2 - 10*m + 0*m - m**3 - 59436 + 59444. Calculate y(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/7, 0.03, -112, -5, -1\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -2220430192497.\nAnswer: -2220430192498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 533*g**2 - 10. Let v(m) = 229457*m**2 - 4304. Determine 2152*p(z) - 5*v(z).\nAnswer: -269*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d + 95. Let g be x(-19). What is the hundreds digit of (-226*18\/(-12))\/(1 + g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395*-2.\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2418*f**2 - f + 2419*f**2 - 76 - 390 as t*f + x + a*f**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10320701?\nAnswer: 383, 26947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.185 + 198688.\nAnswer: 198687.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5216456852 less than -0.091?\nAnswer: 5216456851.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -1, 476, 3, -69, 11 in ascending order.\nAnswer: -69, -9, -2, -1, 3, 11, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1915 and (-17)\/748*(-4)\/(-383)?\nAnswer: 21065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 40 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 33, 1\/5, 5 in descending order.\nAnswer: 33, 5, 1\/5, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 11) to base 16.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = -7. Let u(a) = -a**3 - a**2 + a. Let r(i) = 6*i**3 + 5*i**2 - 7*i + 1. Calculate f*u(o) - r(o).\nAnswer: -o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 3*q**2 + 2\/15*q**6 + 0*q**3 + 0*q + 0 + 1\/24*q**4 + 0*q**5. Find the second derivative of d(n) wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 1\/2*a**2 + 2 - 2*a. What is the first derivative of z(t) wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, t: 1, i: 1, n: 1, g: 2, x: 1}. Give prob of sequence nx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.9 + -8. Let l be -1 + 16\/10 - 1. Do q and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31 + 31*q**4 + 31 + (-q**2 + 2*q - 2*q)*(7*q**2 - 2*q**2 - q**2) + 12*q - 12*q - 2*q**4 - 2*q**4 + q - q.\nAnswer: 23*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-3232)\/303*-4*(-5)\/((-80)\/12) and 1780?\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 17*d**3 - 5*d**2 - 5*d + 5. Let r(p) = 8*p**3 - 2*p**2 - 2*p + 2. Calculate -5*r(o) + 2*u(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75319 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, 1, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/184 and -99\/270922?\nAnswer: 24924824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y - 10*y - y + 12*y + 5 + 15*y**2 + 2.\nAnswer: 15*y**2 - 7*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 534215?\nAnswer: 534215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1637 = -5*t, -2*t - 4*l = l + 635. Let m be 20\/(-10 + 5) - t. Suppose -r + 165 = 3*b, r = -r - 3*b + m. Is 52 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -53.81 (b) -9 (c) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 417828009 and 131878.\nAnswer: 417959887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442472, 885587, 1328698, 1771805, 2214908, 2658007, 3101102?\nAnswer: 3544193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64314576 and 1663308?\nAnswer: 192943728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 31. What is the second derivative of -32*y + 17*y + c*y + 8*y**3 wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/52)\/3)\/((-140)\/30*1395\/4340)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 126 = -117. Let y = -20 + 29. What is the highest common divisor of a and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - d - 1. Let f(a) = -3*a**2 + 2*a + 3. Let h(z) = -8*b(z) - 3*f(z). Let l be h(-3). Suppose 0 = -x + 1 + l. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151133 (base 8) in base 15?\nAnswer: -10e51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*h**2*k + 8692*g*h*k**3 + 50*g*h*k + 155*g*k**2 - 49*h**2*k**2 - 10490*h**2*k wrt k.\nAnswer: 52152*g*h*k + 310*g - 98*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 6. Let u = -1 - 2. Let d be (-1 - 0)*(u - 2). Let f be y(d). Put -1, -2, f in decreasing order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6373, -6526, -6679, -6832, -6985?\nAnswer: -7138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -730.78972 + 731. What is p rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:47 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 - 7*p - 20. Let c(x) = 4*x**2 - 6*x - 19. Determine -7*c(f) + 6*q(f).\nAnswer: 2*f**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 1.01, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1876*f + 647*f + 639*f + 590*f - 4*f**2 - f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -297*a**6\/40 + a**4\/24 - 79*a**3\/2 + 198*a**2 + 3*a. Find the second derivative of n(s) wrt s.\nAnswer: -5346*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -32, -169, -450, -923, -1636?\nAnswer: -2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u. Let z(k) = 41*k + 1. Let h(b) = -22*i(b) + 4*z(b). Let s be h(-3). Suppose 0 = -x - 11 + s. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*a**2 - 66*a**2 + 2*a + 31*a**2 - 77 wrt a?\nAnswer: -20*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:09 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4632, -7707, -10782, -13857, -16932?\n\"Answer: -3075*b - 1557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -0.168\nAnswer: -0.00672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. Suppose -4*g - 3*f + 1 = 2, -5*f + 1 = 4*g. Let i(q) = -2*q**2 - 5*q - 2. Let s(l) = l**2 + 1. Let r(y) = g*i(y) - 3*s(y). Determine r(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1586.99l?\nAnswer: 1586990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -770, 3 in increasing order.\nAnswer: -770, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97841 - 97841 - 82*h)*(-1 + 2 - 3) + 6*h - h - 3*h.\nAnswer: 166*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -256, -370, -486, -604, -724, -846?\n\"Answer: -l**2 - 111*l - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.938 - -1.138. What is the closest to c in 3\/2, -6\/7, -0.1, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 38 + d**2 + d + 2*d + 30 + 70. Is 6 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Let i(q) = -9*q + 7. Let p(g) = -4*i(g) - 28*n(g). Let c = 23 + 24. Let w(v) = 2*v**2 - c + 47 - 3*v**2. Determine w(p(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7885, -0.1, -3, 0.4, -1, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1314404 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = -j, j + 19 = 4*a + 7. Let o(i) = 2*i**2 - 2*i - 2. Let h be o(2). Solve -10 = -q + h*f, -21 = -0*q - a*q + 3*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -3*j + 2, -2*j - 2*q + 14 = 0. Suppose -27*v - 3 = -j. Solve 11 = 5*f - 4*u, v*f - 16 = -4*f - 4*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 7\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - 12913\/(-814) - (72\/(-33))\/(-6). Find f such that 3\/2*f**4 + 51\/2*f - z*f**3 + 18 - 3\/2*f**2 = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1 - 8 + 168*w + 60*w. Suppose 0 = -6*d + 41 - 23. Is x(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((10 - 3) + -26 - -7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 67*s - 621 = 17*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 13 + 3 - 7 + 3 + 2*u - 18.\nAnswer: 2*u - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*c - 331 = 0, -3*w + 2*c = -2*w - 311. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by -628\nAnswer: 109\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18 - (222\/27 + -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956 is divided by 54?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(98))**2.\nAnswer: 28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 53*c + 68. List the prime factors of v(2).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/((-8)\/(-129))*(-16)\/(-12). Let m = 96 - p. What is the smallest common multiple of (-30 + 34)*m\/8 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793120 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6733 times -4\nAnswer: -26932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 45*v**2 + 9*v - 30. Let g be t(-22). What is the greatest common divisor of g and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010011101110110 - 101?\nAnswer: 1110010011101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**2 + v**4 + (0 - 3 + 5)*(2*v**3 + 2*v**4 - 2*v**3) + v**4 + 3*v**4 - v**4)*(-258*v + 122*v + 235*v).\nAnswer: 792*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 28. Suppose 2 = 4*x - 3*z, -5*x + 2*z + o = -5. Let c(l) = l**3 - 2*l + 3. Give c(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/63*46236 + 0. Let r = g - 43882. Let z = 152 - r. Sort z, -0.3, -2\/9 in descending order.\nAnswer: -2\/9, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)*x*x\/(x*x\/x**(2\/9))*x*x*(x*(x\/(x\/(x\/(x*(x\/(x*x**5)*x)\/x))))\/x*x)\/x*x**(5\/4))\/((x**(-1))**(1\/6)\/(x**1)**(-43)) assuming x is positive.\nAnswer: x**(-1381\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 6*k**3 + k**3 - 8*k**3 - 2 + 2 - k**3 + (k + 3*k - 2*k)*(-k**2 + 2*k**2 - 2*k**2).\nAnswer: -4*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 822\/(-274)*-1*4\/(-108)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwiuw. What is prob of picking 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-15))\/(2\/30). Let g(r) = -r**3 - 7*r**2 - 5*r. Calculate g(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 433676 and 1301028.\nAnswer: 1301028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/(1\/(-3)). Let v be (0\/2)\/(8\/g). Suppose 3*y + v*y = 6. Solve -2*t + a = -t - 8, -y*a = 4*t - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25340.8 rounded to the nearest 100?\nAnswer: 25300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 60 + 210. What is the greatest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**3 + t**2 - 4*t + 4. Let l be k(2). Let b = l + -9. What is the remainder when b is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97.698*2.\nAnswer: 195.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101119000 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 348*o**2 + 36*o - 212. Is m(6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 154674804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -288.3983 - 0.7017. Let m = v + 274.136. Let k = m - -15. What is k rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111\/148*(-8)\/(-66).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3451f (base 16) in base 12?\nAnswer: -a4027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5429 - 801*w + 1555*w - 756*w)*(w + 0*w - 3*w).\nAnswer: 4*w**2 - 10858*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-6))\/(-1))\/(18\/(-27)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 114610, 112946, 110172, 106288, 101294, 95190, 87976?\n\"Answer: -555*j**2 + j + 115164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.08134\nAnswer: -0.24402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 17*h - 14*h. Suppose -h*r + 2 = -10. Calculate the highest common divisor of r and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34851083.\nAnswer: 227, 153529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Let r(j) = 2*j**2 - 4*j - 4. Let u be r(w). Suppose -4*z = -u - 12. What is the greatest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10468*m - 7. Let n be u(-4). Is (-20)\/(-6)*n\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-1)\/(-35) - 28028\/(-24360)) + (-4)\/3?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 2}. Give prob of picking 1 m and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 1:34 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.599 to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 5. Let h be j(-3). Let t(n) = 27*n + 11*n - 6*n. Let d be t(2). What is the highest common divisor of d and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 9*k**2 - 11*k - 63. Calculate l(-10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 140 = -2*y + y, -4*t + 3*y + 563 = 0. Suppose -3*f + 7*f - 34*f = -720. Calculate the remainder when t is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmiy when four letters picked without replacement from xixymvrm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 934.9 times -0.1\nAnswer: -93.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 7*n + 7. Let h(l) = -l + 1. Let y(o) = 21*h(o) - 3*i(o). Let x(q) = -2*q. Let r(u) = -6*u. Let t(j) = -3*r(j) + 8*x(j). Calculate t(y(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -101400133 (base 5) in base 11?\nAnswer: -266711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (0 + (-13 - (0 + -4) - -9))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 152679753 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.859 + 1588.641. Let n = v - 1594.485973. Let t = n + -0.014. Round t to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.16*-20\nAnswer: 123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 24*c**2 + 4. Let p(r) = r**2. Calculate p(a(z)).\nAnswer: 576*z**4 + 192*z**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 - u**2 + 25*u - 10. Let p(i) = -i**3 - 3*i**2 + 2*i - 1. Let k(t) = 4*p(t) - y(t). Give k(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + m + 484 = 0, -y - 4*y + 605 = -3*m. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 229*g**6\/5 + g**5\/20 - 163*g**4\/12 + 7*g**3\/6 - g + 530. What is the third derivative of c(h) wrt h?\nAnswer: 32976*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5 = 2*s + q, -3*q = -s - 13. Let r(p) = 36*p - 62. Let b be r(s). Which is smaller: -205 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*z**2 + 90*z**2 - 5*z + 6*z to v*z + t*z**2 + s and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Let i = m - 2. Suppose 4*u - i = 19. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 42*i**2 - 8*i + 9. Let o(y) = -24*y**2 - 95*y - 4. Let w(m) = -70*m**2 - 335*m - 11. Let g(f) = 7*o(f) - 2*w(f). Give -8*g(c) - 5*s(c).\nAnswer: 14*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5*d**2 + 5 + 0)*(7 - 71 - 27 + (0 + 2 - 3)*(3 - 6 + 1)) to y*d + t + m*d**2 and give t.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glngxlglgl. Give prob of sequence gg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -129a5 - -15b?\nAnswer: -12846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let s = q - 7. Let a = -7 - s. Solve 0 = -4*l - 2*h, 4*l + 3*h = -a*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(-5 + -2 + (sqrt(1008) - (-5*(sqrt(1008) + sqrt(1008)*-5 + sqrt(1008)))**2)).\nAnswer: -8165052 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207048 and 2.\nAnswer: 207048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -256\/363?\nAnswer: -256\/363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 73*j**2. Let x(i) be the first derivative of i**2 + 206. Give n(x(o)).\nAnswer: 292*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, h: 5}. What is prob of sequence hh?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 160.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.147, 0.25, -3\/5 in increasing order.\nAnswer: -1.147, -3\/5, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 554, 832?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354321 is divided by 130.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x. Let f(l) be the first derivative of -2*l**2 + 3 - 56 + 149 + 4*l**2. Give j(f(t)).\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15256*a*d*g**2*t - 744483*a*g**3*t - 50*a*g**2*t + d*g**3 - d*g**2 - g**3*t wrt g.\nAnswer: -4466898*a*t + 6*d - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 357029192 divided by 265252\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 98.89648 nanometers?\nAnswer: 0.00000009889648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 9) to base 11.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.589 - 0.089. What is the third smallest value in y, 2\/7, 0, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75125, 300420, 675925, 1201646, 1877589, 2703760, 3680165?\nAnswer: 4806810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2\/7, -2\/9, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96276 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8073 and 13689?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -180?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 75 = 15*x - 20*x, -4*i - 10*i + 12*i = 2 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-2)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 67, 82, 97, 112?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 136?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + ((-17)\/3)\/(-1). Let j be 2\/w - (0 - (-328)\/20). Is j\/(-64) + (-499)\/(-4) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:07 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3527171324 to the nearest integer?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000195444 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjjjjkjkkjpjjkpkpjj. What is prob of picking 3 k?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1879 times 5\nAnswer: -9395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-23 - (-5148)\/90). What is the highest common factor of 7353 and c?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 5*w - 8. Let k be g(9). What is the common denominator of (-110)\/8*(48\/k)\/6 and 93\/68?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 7*p - 6*p = 8, -4*p + 2 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2\/(-4) - (-9)\/(-36)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 106111005 (base 7) to base 8\nAnswer: 30604213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1872) + sqrt(1872))**2*-3 + sqrt(1872).\nAnswer: -22467 - 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 14*d - 14. Suppose 4*l = 3*l - 4*h + 13, -2*l = h - 26. Let m be n(l). Sort 6, m, 5 in increasing order.\nAnswer: m, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197373554?\nAnswer: 2, 7, 14098111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.028? (a) 0.1 (b) 15\/8 (c) 0.4 (d) -5 (e) -49\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 48*h**3 - 49*h**2 + 11*h + 33. Let u(i) = -i**3 - i**2 - i - 3. Let p(m) = -2*t(m) - 22*u(m). What is the third derivative of p(o) wrt o?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.101 - 0.087. Let w = k + -1.094. Let r = w - -1.38. Which is the second biggest value? (a) r (b) -1\/3 (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x + 7. Let c be (-157)\/(-3) - 6\/18. Suppose 0 = 5*w - 2*h + c, 2*h = -7*w + 2*w - 48. Is d(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -546 + 9. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -3)\/((-2)\/(-10)). Suppose -56 = -o*g - 2*b, -b - b + 46 = 4*g. Suppose -5*w + 56 - 6 = 0. What is the highest common divisor of g and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 414, 5, 0.\nAnswer: 0, 1, 5, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 527880 to the nearest 1000.\nAnswer: 528000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*z + 4*y - 5, 5*z + 3*y = 25. Let q(d) = -d. Let w(g) = 6*g + 2. Calculate z*q(p) + w(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bobmbbmbfmbf. What is prob of picking 2 b?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18357497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 615766711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**3 + 475*l**2 - 1840*l + 1820 = 0.\nAnswer: 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16173*a - 16302*a = 4386 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -1.1, -3\/7 in increasing order.\nAnswer: -1.1, -1, -3\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/(-96)*(4\/30)\/((-384)\/(-6000)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) 26 (c) -5 (d) -4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 2060. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*g + 8, 6*h + 2*g = h + 17. What is the greatest common factor of 9 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/752497175 and -17\/2?\nAnswer: 1504994350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1819710.\nAnswer: -3639420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4243 + 2113 + 1662*b**2 + 2132 to the form m + n*b**2 + c*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2911\/82)\/(-71)*(-1 - (1 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 779 - 1178 - 4*g - g**3 + 397 - 48*g**4 to the form i + s*g**3 + m*g**2 + q*g + z*g**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 2*u**2 - 4*u - 1. Let a be g(-3). Factor -n**2 + a*n - n - 2*n.\nAnswer: -n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16833 divided by 4922?\nAnswer: 16833\/4922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -2 + 0)**2.\nAnswer: -20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -202 - -342. Calculate the common denominator of 37\/82 and (-16)\/(-5) + -3 - 1018\/p.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34468*t**3 + t**2 - 65*t - 1 wrt t.\nAnswer: -206808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*l = 146, -i + 3*l + 26 = -23. Which is smaller: i or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1311 + 1073 = -7*i. What is the least common multiple of 272 and i?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*(-4287)\/(-5716).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-80)\/10) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15428)\/(-95))\/14)\/(1\/2*312\/195)?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22488 - 20703. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-76))\/(372\/11346) - 9\/12\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*d**2 - 9770*c*d - 57897865*c + 505*d**2 wrt d?\nAnswer: -2*c*d - 9770*c + 1010*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -923, -7328, -24715, -58574, -114395?\nAnswer: -197668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17022 is divided by 7770?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 631*-1 + 0 + 0. Let m = 1225\/2 + i. Let b = 2201 + -2209. Find the common denominator of m and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9296 (base 16) to base 14.\nAnswer: d966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 4*c + 3*s - 21, -2*s + 20 = -5*c. Let l be 76\/(-156) + c\/(-6). What is the closest to 1 in -40, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2082\/5 + 418. Factor q + 2\/5*j**2 - 8\/5*j.\nAnswer: 2*(j - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*f - 12 = 0, q - 5*f - 23 = -f. Let j = q - -2. What is the units digit of (j - 4) + (-2 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 225*f**2 - 447*f**2 + 221*f**2 - 1037*f to the form u*f**2 + v + r*f + z*f**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j**17\/j)*j**10*j**(-5\/7)*j*j*j**(-20) assuming j is positive.\nAnswer: j**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(104)*2)\/((sqrt(800)*2 - sqrt(800)) + sqrt(800) + sqrt(800)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-198)\/5)\/(9\/(-60)). Calculate the greatest common factor of 33 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164881179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/11 - 2744*c**3\/11 - 952104*c**2\/11 - 680512*c - 1353088 = 0.\nAnswer: -682, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12*l + 8. Let t = -36 - -52. Suppose -2*c - t = -0*c. Let z(s) = -8*s - 5. Calculate c*z(o) - 5*m(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 45*f**3 - 2*f**2 + 30*f - 9. Let n(t) = -22*t**3 + t**2 - 10*t + 4. Calculate -4*g(j) - 9*n(j).\nAnswer: 18*j**3 - j**2 - 30*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525 (base 6) in base 8?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a century in months?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffufuwfwfwu. Give prob of sequence fw.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -768 - -2?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2b9 (base 13) to base 8\nAnswer: -752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 + 94. Suppose 2*m - v = -m. Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 5*d + 25. Calculate l(-5).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Suppose -3*f + 6 = b - 2*f, 2*f = 8. Suppose b*j - 5*t = 16, -5*t + t + 8 = j. What is the remainder when j is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/48)\/(132\/4246) + (-3 - 27\/(-3)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6164112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - 136*a + 7047. Give f(34).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 17, -1446?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*w - 15, -3*w - 8 = 4*y - 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*i - 10*i - q, 2*q = -3*i + 15. Suppose 3*k = -d - 48 + 47, i*k = 4*d - 26. Let t(r) = -r**3 + 4*r**2 + 6*r + 7. Determine t(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -17*a**5\/60 + 1927*a**2. Let l(v) = -v - 238. What is d(l(i))?\nAnswer: -17*i**2 - 8092*i - 962948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7592897, -30371600, -68336105, -121486412, -189822521?\nAnswer: -273344432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-274 - -274) + -1 + -35 + (1 - 0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 - 20 = 0. Let v(i) = -3*i - 2*i**2 + q*i**2 - 8*i**2 - 2*i**2 + 8*i**3. Let d(z) = z**3 - z**2 - z. What is -6*d(x) + v(x)?\nAnswer: 2*x**3 + 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k**3 + 2*k**2 + 11*k**2 + 17*k. Let p be b(-12). Suppose 60 = 5*r - 0*r. What is the highest common factor of r and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*q + 8*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**8*h**(-2\/5)\/h)**(-34))**37)**11 assuming h is positive.\nAnswer: h**(-456654\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7639 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -1\/4, 2\/3, -156, 4\/7, 0.02?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -14\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 28*h - 40.\nAnswer: -4*(h - 5)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 5 = 3*u. Let f(h) = h + 2 + u - 2. Let k(t) = 12*t. Let g(n) = n. Let j(l) = 20*g(l) - 2*k(l). Determine f(j(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 - 164114?\nAnswer: -163659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*w - 49*w - 6048 = 0. Find the third derivative of -116*y**2 + w*y**2 + 4*y**5 + 3*y**4 - 9*y**5 wrt y.\nAnswer: -300*y**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*d - 912*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.23891 millilitres in litres?\nAnswer: 0.06323891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 3:53 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 16049940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 37 - ((-6 - (32 + 2)) + 1 + 5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-6) + (-613645)\/(-93)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 6*w - 1. Let c be p(-5). Let r be (-94)\/(-14) - 6\/c. Suppose r*v - 3*v - 5*t - 47 = 0, 0 = v - 2*t - 11. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, w: 3}. Give prob of sequence hww.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -14. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 62*u - 63. Calculate i(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 4*i + 116. List the prime factors of (i\/4)\/(6\/12).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 9872*m**2 - 414678*m\/7 + 622044\/7.\nAnswer: 2*(m - 3)**2*(m + 34558)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 290 - -1420. List the prime factors of p.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:53 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60897 = -g - 2*r, 10*g + 2*r = 5*g + 304469. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 29792*t**4 - 21143*t**3 - 7811*t**2 - 810*t - 26. Let l(o) = -o**4 + o**3 - o**2 - 1. Let n(h) = 2*g(h) + 2*l(h). Solve n(u) = 0.\nAnswer: -3\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88873427 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1705, 6426, 14245, 25174, 39225, 56410, 76741, 100230?\nAnswer: 126889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0290139 + -0.029. What is l rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 391 = -5*x + 275, 5*x = -5*b - 140. Put -2, 27, x, 2, -3 in descending order.\nAnswer: 27, 2, -2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18178639.\nAnswer: 433, 41983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqflqffflqqfffllq. What is prob of sequence lll?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 12*a**2 - a - 9. Let t be j(-12). What is the third smallest value in 0.1, -1\/9, t, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -613 + 6741\/11. Sort 108, s, -5 in decreasing order.\nAnswer: 108, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = t - 48, -4*i - 8 = -5*t - 80. Suppose -6 = -3*n + n. Suppose 0 = n*l + 1 - i. Solve 4*u + l*v - 31 + 7 = 0, -u - 6 = -5*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 52 + 2*w + 22.\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.125.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2159 - -2167. Calculate the highest common divisor of a and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**7\/210 - b**6\/200 - b**5\/60 + b**4\/40 - 402*b**2. Factor i(w).\nAnswer: w*(w - 1)*(w + 1)*(5*w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31908663?\nAnswer: 3, 3545407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1935 and 8\/3483.\nAnswer: 17415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = 2*g, 0*g + g - 2 = 0. Let h be 2\/(-3) - (-19)\/(-3). Let z be (-2)\/h*(-7)\/15. What is the closest to 1 in z, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/60, -518.7, -17?\nAnswer: -518.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1490 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 8. Let k(r) = r**2 - 19*r + 10. Let i be k(17). Let q = 47 + i. What is the remainder when q is divided by y(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -4\/15 (c) 61 (d) -1\/2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f. Let x(j) = 254*j - 2. Determine x(l(g)).\nAnswer: 508*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/(184\/(-18216)). Sort g, -7, -4, 5 in descending order.\nAnswer: 5, -4, -7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -15579670?\nAnswer: -15579670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/34 + 10\/51. Let a(z) be the second derivative of 0 - t*z**4 + 0*z**3 - 8*z + 0*z**2. Let o(m) = 6*m**2. What is o(a(i))?\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -19477 and -19477 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16235c (base 14) in base 8?\nAnswer: 2750516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 562 * 0.4.\nAnswer: 224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17176, -34254, -51320, -68374, -85416?\n\"Answer: 6*i**2 - 17096*i - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/2 - s**2\/2 + 2*s - 6. Let y(v) be the first derivative of l(v). Is 14 a factor of y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 77 - 17. Let d be a*1600 + 0 + 0. What is d rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 992*a**3 + 3*a + 0 - a**4 + 4 - 988*a**3 + 2*a**2 as r + p*a**3 + c*a**2 + n*a + j*a**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -105*d**2 - 92*d - 5. Let j(q) = 53*q**2 + 46*q + 2. Let f(s) = 2*i(s) + 5*j(s). What is the second derivative of f(z) wrt z?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38 and -13.1103?\nAnswer: 51.1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1586176 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 1*sqrt(588) + sqrt(36)\/sqrt(3)*-2)\/(-6*(2*sqrt(324) + sqrt(324))))**2.\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 3. Let b(t) = t**3 + 11*t**2 - 8*t - 13. Let k be b(m). Suppose -2*u = -7*u + k. Calculate the greatest common divisor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 134. Let h be 1 + (-14)\/(-12) - a\/18. Factor -h*g**3 - g + 5\/2*g**2 + 0.\nAnswer: -g*(g - 1)*(3*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 5*d**2 + 8*d - 9. Let x be z(6). Let l(b) = -5*b + 2*b + x + b. Let g be 2 + 1 + (-14)\/(-7). Calculate l(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100 - -11001?\nAnswer: 11001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 70\/30 + 32477\/3. Is (1\/2)\/((-97450)\/t + 9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5768 + 5818. Sort 5, 0, t.\nAnswer: 0, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 595*l = -600*l + 5, 2*x = -2*l + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 - ((-3)\/7 - ((-13869)\/161 - -10)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9395865210865383 + 9395865662871030.0000129. Let d = -452005575 + p. Let g = -72 + d. Round g to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.1 + -7. Let p be (-87)\/525*(-2)\/(-2). Let q = -3\/25 + p. Which is the closest to 1\/4? (a) -4 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, u: 1, l: 4}. Give prob of sequence zzu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h**2 - 3*h**2 - 2*h + 4*h - 1. What are the prime factors of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15795370?\nAnswer: 2, 5, 71, 22247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-15 - (18 - 20))) + (-4 - -3) - 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + -1. Let p be (-32)\/(-6) - (-2)\/w. Suppose 0 = -t + 1, 5*b + 3*t - 4*t = -21. Sort p, b, 3.\nAnswer: b, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/319 + -644\/957. Let z = 41 - 27. Suppose 4*n - z = 26. Are a and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41364 is divided by 4593.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104231424 + -10213?\nAnswer: 104221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -249 and 1?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*b - 83*b - 80*b.\nAnswer: -277*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 230046*a. Let z(s) = -13*s**2. What is i(z(b))?\nAnswer: -2990598*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in 0.01, -5, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -12. Let p be 2\/v - 9\/(-10). Put p, -2\/15, -0.5 in decreasing order.\nAnswer: p, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 13 + 49 = 0. Let d(r) = -3*r**3 - r**2 + 12*r - 16. Let y be d(x). Suppose -4*v = 2*k - 2*v - y, -v = 3*k - 7314. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 2\/15*o**3 + 11*o - 1\/25*o**5 + 0*o**2 + 0 - 1\/30*o**4 + 1\/75*o**6. Factor x(a).\nAnswer: 2*a*(a - 2)*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 11\/284, -1\/5, -3\/43, 2?\nAnswer: 11\/284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10543997 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10106256208 minus -0.4?\nAnswer: -10106256207.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 48. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**2*t + 41*b**2*w**4 + 9491*b*t*w**4 - 26*b*t - 785*b*w**2 wrt w?\nAnswer: 984*b**2*w + 227784*b*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35522 + -1211215?\nAnswer: -1131253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 80?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -6 + -38 + 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*m + 203*m + 27 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (211 + 91*q**2 - 211)*(4 + 0 - 2).\nAnswer: 182*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -218*l**7\/7 - 4*l**3\/3 - 269*l**2\/2 - 6068. Find the third derivative of t(u) wrt u.\nAnswer: -26160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 8*s - 3. Let b be v(6). What is the least common multiple of 3 and 58\/6 + (-6)\/b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 204.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - o + 16 = 5*b, 3*b + 3*o - 12 = 0. Let q be (-49)\/98*(-5)\/(5\/b). Calculate the greatest common factor of 24 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a - 9 = -z, z = -5*a - 39. Let r = -3 - a. Solve 3 = -5*p + 3*l, 0 = -p + 2*l - 0 + r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17341 is divided by 692?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -4 (b) 0.7 (c) 0.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**5\/5 + y**4 + 31. Factor x(w).\nAnswer: -w**3*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 339892 and 27860.\nAnswer: 1699460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 3*l - 1. Let b be y(-3). Let k be b\/((-1)\/3 - (-6)\/(-36)). Is 33\/21 - k - (-60888)\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06603 to 3 dps.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*b*d**2*p - 1276*b*d**2 - b*d*p - 4*b*d - 35156*b*p - 4*b + 5*d**2*p + 31*d**2 + 2*d*p wrt d.\nAnswer: 60*b*p - 2552*b + 10*p + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*r = 20, -4*i + 10 + 0 = -2*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2 + 4*y. Give j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17520 - 8743. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459 and 4374.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*u + 0 + 17 - 436*u - 17 + 227*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (303\/(-8484))\/((-1)\/604) - 17?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/147)\/(r*r\/r**(-14)))\/(r**(-22))**(-5\/12) assuming r is positive.\nAnswer: r**(-2465\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 50 = 37 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 5*m - 9. Suppose 5*u = -5*v - 25, 10*u - 2*v - 20 = 14*u. Determine w(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18871828658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 + 15*a**2 + 10*a - 4. Let x(n) = -13*n**3 - 2*n - 1. Let w be x(-1). Let r be c(w). Round r to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 414*f - 10030 - 4146 - 3626 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 22650?\nAnswer: 22650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -625933 times 0.2?\nAnswer: -125186.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r + 4*m, 5*r = -5*m. Suppose x + 2*x - 99 = r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42764*g**5 + g**3 + g - 5596 wrt g.\nAnswer: 855280*g**3 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21100 (base 3) to base 16\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h + 195. Let b be m(-17). Let u(a) = 2*a + 18. Let q be u(b). Solve 3*v + q*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18559+-51\nAnswer: 18508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**4*h)\/h**(4\/5)*(h**(-9)*h)\/(h*h**8))**50)**(-1\/4) assuming h is positive.\nAnswer: h**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3918 divided by -376.\nAnswer: 1959\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21395 and 4?\nAnswer: -85580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2. Let a be (-5)\/(-2)*(1 + 1) + 0. Let d(i) = -21*i**2 - a + 4 + 20*i**2 - 15 - 5. What is u(d(c))?\nAnswer: 3*c**4 + 126*c**2 + 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -29*q + 708000. What is q rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/125473304 and -41\/45626656.\nAnswer: 501893216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -8*r + 12*r + 5*h, r + 1 = 4*h. Solve 4*n + 5*y + 17 = 0, 18*y - r*y + 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(2\/7)*r)**(-45)\/((r\/r**3)\/(r*r**3))*((r*r**(-2)\/r*r)\/(r\/((r*r**3*r*r)\/r)))\/((r\/r**(1\/4))\/r**(-7)) assuming r is positive.\nAnswer: r**(-5365\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 3623180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from papp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -63 + 6 + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418550, -837153, -1255756, -1674359?\nAnswer: -2092962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:31 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.002 at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*x - 85*x = 135 + 96. Let n be (-478)\/(-420) + (-2)\/2. Let s = -1\/35 - n. Put 1\/2, s, x, -0.2 in descending order.\nAnswer: 1\/2, s, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14710, -14431, -14174, -13951, -13774, -13655?\nAnswer: -13606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*l - 13 = 37, 5*k = -3*l + 48. Let d = -5 + k. Suppose 4*y = -d*n + 24, -2*n = -y - 8 - 1. Solve p - n*p - 2*m = 8, -8 = 3*p + m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 3*d**5\/20 - d**2\/2 + d. What is the units digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 + 288\/30. Let i(g) = -g**2 + 9*g + 7. Let p be i(u). Let s be (2\/p)\/(2\/(-12)). Solve 2*a = -2*a - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**2 - 2 - 3*b**2 + 2. Suppose m = -4*m. Let o(z) = -2*z + 0 + m. What is r(o(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(363) - (-2 + sqrt(363))) + -5)**2 + (-1*sqrt(288))\/(sqrt(30)\/(-2*sqrt(5))).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -334 - -334.4. Let w = 7\/11 - 79\/55. What is the biggest value in w, p, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/(-350))\/((-76)\/(-15390)*(0 + (-10)\/(-8)))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 2, r: 1, l: 2, f: 1, c: 1}. Give prob of sequence mcm.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499377 is divided by 1079?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6090 divided by 21\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 18*y - 280. Give q(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 21*i - 9. Let l(t) = 5 + 4*t - t**3 - 5*t**2 + 3*t**2 - 7. Determine l(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 - 43 = 4*d. Let z = -40 - d. Suppose -z*k + 14 = -4. Which is the third biggest value? (a) 5 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -43ec5b?\nAnswer: -43ec58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2923*b**5*g - 1481*b**2*g + 2*b*g + 42*b + 10864*g - 4 wrt b.\nAnswer: -58460*b**3*g - 2962*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199341043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 2*v**2 - v + 2. Let i be u(2). Suppose i*t + t = 20000000. What is t rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 177 and 21139806?\nAnswer: 1247248554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 51232\nAnswer: 10246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5453 - -10570. List the prime factors of m.\nAnswer: 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80369833 at most -80369831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -6.3\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/3)\/(56\/(-168)). Let q(c) be the third derivative of c**4\/8 - 5*c**3\/6 + c**2. Let j(u) = -1. Suppose -y - 2 + 3 = 0. Calculate b*j(o) + y*q(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 734681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/606 and 42\/439855?\nAnswer: 2639130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.02, -832, -13\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-5) + 0 + -3. Which is the nearest to 2\/13? (a) q (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -34*t**3 - 5*t**2 + 7. Suppose 3 = -40*b - 117. What are the prime factors of x(b)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(121) + -1*sqrt(121)) + sqrt(121) + 2*sqrt(121)*-5)\/((sqrt(55) - sqrt(165)\/(sqrt(15)\/sqrt(5) + sqrt(3)))\/sqrt(5)).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/154 + 573\/154. Let r = 902 - 17146\/19. Calculate the common denominator of f and r.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 9:20 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(2) - (sqrt(2) + sqrt(2) + -2)))**2 - sqrt(6)\/(3*sqrt(3))) + ((sqrt(2) + 0)*1)**2 + sqrt(8) + 5.\nAnswer: -7*sqrt(2)\/3 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -21*j + 15*j. Let m(a) = 15*a - 13. Calculate m(j).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018048 rounded to seven dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -220131320010 (base 4) to base 8\nAnswer: -50357004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-25)\/m)\/m**(-2\/27))\/(m\/m**8*m**(-16)) assuming m is positive.\nAnswer: m**(-79\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.1 in 5, -2, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/10 - 2\/(-5). What is the nearest to 2\/7 in -5, g, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:30 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, c: 4, j: 3}. Give prob of sequence jjvc.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*j**2 + 130*j - 127*j - 2*j**2 wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-115)\/(-2)*84\/15. Let s be w\/(4 + 2) - 0. Solve 8*z - s = -13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -961, -939, -881, -781, -633, -431?\n\"Answer: v**3 + 12*v**2 - 21*v - 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2057292 and 51805.\nAnswer: 2109097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1\/5, -3.6, 4 in descending order.\nAnswer: 4, 1\/5, -3.6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 10:21 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m + 16. Let z(o) = o**3 - 6*o**2 - 7*o + 13. What are the prime factors of z(m)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 2:37 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2529 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnbdm. Give prob of sequence bdd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(9 - 3)*1\/3. Sort o, 88, -1 in increasing order.\nAnswer: -1, o, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.14 - -3.21. Let s = c + -2.07123. Round s to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a - 11. Determine m(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109615272*g**2*r**2 + 3*g*r**2 - 3*g*r + 3*g + r**2 - 2*r + 413128 wrt g.\nAnswer: -219230544*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 60, 110, 180, 276, 404, 570, 780?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 431158\nAnswer: -5\/431158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 2*f - 2*f)*(-f - f + f + (0*f + 0*f - 2*f)*(-7 + 0 + 4)).\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(8) + sqrt(648) + sqrt(648)*-3))\/(((sqrt(110) + sqrt(110) + (3*sqrt(110) - sqrt(110)))*1 + sqrt(110))\/sqrt(10)).\nAnswer: -sqrt(5)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 212783*1158\nAnswer: 246402714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13705?\nAnswer: 5, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -1432 (b) 0.1 (c) 0 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35, 32, 17, -16, -73, -160, -283?\n\"Answer: -y**3 + 4*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1301684152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22533 and 38073.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:53 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1\/8, 12, 4\/35, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6403 + -2237. Does 66 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 <= 1517\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6796 - 6620. Calculate the highest common divisor of k and 5192.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2600, 2728, 2866, 3020, 3196, 3400, 3638?\nAnswer: 3916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 7. Let i be q(-3). Suppose -2*w + 0 - 4 = -i*b, 0 = -3*w + 12. Suppose 0 = b*d - d - 8. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91178 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/d**(-1\/17)))\/d)\/(d*d*d*d**20\/d*d*d*d*d))**(3\/7))**21 assuming d is positive.\nAnswer: d**(-4140\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1120222221 (base 3) to base 14\nAnswer: b5cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -52, 2, 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:55 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08229371*0.01.\nAnswer: 0.0008229371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5 - 2\/5*m + 2\/5*m**3 - 4\/5*m**2.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 23. Is 3 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33350 (base 6) to base 9\nAnswer: -6363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5918 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1408.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -417, -902, -1559, -2376, -3341, -4442, -5667?\nAnswer: -7004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + 2*sqrt(240)*-2)*-3)\/(sqrt(45) + sqrt(1125) + sqrt(1125)*1 + sqrt(180)*-2).\nAnswer: 12*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 2734\nAnswer: 273.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 33055334?\nAnswer: 33055334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 14*o + 32. Let y be s(-17). Let p(j) = -2*j - 33. Let z be p(y). Suppose -989 - 36 = -z*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from ffjjnfjflfnoynlfff.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13329*b = -13322*b - 49 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4193035\/(-70) - 2\/(-4). Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419886917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/5, 6\/5, 0.01, 2\/9, 130.9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/5 - 44848*l\/5 - 44844\/5.\nAnswer: -4*(l + 1)*(l + 11211)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(14)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/(-143))\/10 + 201\/(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, -10, 142962 in descending order.\nAnswer: 142962, 8, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 0.04 (b) 2\/83 (c) -0.2 (d) -17 (e) -1 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3)*15\/200.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 + -114. Let x be -1*(21\/(-18) + 1). Which is the second smallest value? (a) j (b) x (c) 3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 + -141. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)*((-18)\/4 - -5). Which is the closest to 0? (a) g (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5386)\/(-25)*(30 + -25). Let g = 1081 - r. Which is the smallest value? (a) g (b) -5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028411 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 2, -16, 15\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*z = -21, -3*w = 6*z - z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 134759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to -3513\/655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -3*w**4 + 3*w**2\/2 + 2*w + 41. Calculate n(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124294102?\nAnswer: 2, 1087, 57173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077224660 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -40. Let q be ((-4822)\/4)\/(p\/39). Let h = q + 2243. Find the common denominator of 139\/18 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36*21\/252)\/((-5)\/(110\/(-6))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/522 and 13\/18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {j: 6, k: 4, g: 3, l: 2, h: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64329441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -680 (base 14) to base 6.\nAnswer: -5544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33\/5 (b) 27047 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 12*m**3 - 5*m**2 + 43*m - 76. Calculate the remainder when i(3) is divided by 121.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91969112 and 4302?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -30. Let v be (9\/(-3565))\/(f\/5463). Let r = v - -1\/1426. Find the common denominator of 81\/14 and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (1 - 1853))*(-3)\/(-9). Let s = b + -347. Does 30 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14630?\nAnswer: 2, 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 11. Let r be f(-8). Suppose 0 = -r*b - 3 - 2. What are the prime factors of b*(-3 + (0 - 8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -5.2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -117, 59\/4, 4, 0.5, 3, 5.\nAnswer: -117, -1\/7, 0.5, 3, 4, 5, 59\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, i: 2}. What is prob of sequence qiiq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 10*m**2 + 25*m + 25. Let g be u(-7). What is the units digit of 44\/g*(-3306)\/76?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 254*n**2 + 2*n**3 + 8 - 254*n**2.\nAnswer: 2*n**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513719, 513694, 513649, 513578, 513475, 513334?\nAnswer: 513149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**2. Let k(o) = -55265*o**2. Determine c(k(z)).\nAnswer: 27487982025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/((-15)\/(-4)))\/(-1). Let k = -62.9 - -63. Which is the closest to k? (a) -5 (b) 3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/27? (a) -7\/9 (b) 5\/19 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/30 + l**4\/6 - l**3\/3 - 3*l**2. Suppose -117*n = 6*n + 9*n + 660. What is p(n)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 222*r. Let t(f) = -2*f**2. Determine x(t(m)).\nAnswer: -444*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(-31) assuming k is positive.\nAnswer: k**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 17 + 17 + 1665*k.\nAnswer: 1665*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -277.46 to zero decimal places.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 3. Let o(n) = -n**2 - 7*n - 5. Let j be o(-4). Does 10 divide a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -0.3, -5, 12, 3, -2\/89, -0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from dylddqyqylssd?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.97 - -2. Let h = n - -2.97. Let v be 1\/(-4) + 11\/12. Which is bigger: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-17) + (-947777)\/(-26809)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 159758 + -159730 + (-39 - (1 + -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*r + 9, 0 = -c + 2 - 1. Suppose 2*g - 1 = 5. Suppose 5*s = 5*p + 75, 3*p - g*s + 43 = -s. Sort r, p, -3 in decreasing order.\nAnswer: r, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 3*c - 1. Let b be 2*(10\/4 + -1). Suppose b = -5*u - 22. Calculate a(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 8*u - 2*m - 2 = 0, -18 = -3*u + 4*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) + sqrt(77) + ((sqrt(77) - sqrt(77)*-1) + sqrt(77) + sqrt(77) - sqrt(77))))\/sqrt(7) - (sqrt(396) + 2 + -4).\nAnswer: -36*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46 - 9216674482.\nAnswer: -9216674482.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125259200 or 125259201?\nAnswer: 125259201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 6:18 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 - i**3 + i + 466*i**2 - 7 + 773*i**2 - 8*i**3.\nAnswer: -19*i**3 + 1239*i**2 + i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 1759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -3, -2, 1603, 1, 4 in decreasing order.\nAnswer: 1603, 110, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 3. What is the units digit of f\/(-2)*(-4)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m - 10 = -4*b + 32*m, -b - 5 = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6828\/(-48934)*-2*(-2)\/(-12)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j**2 - j**2)*(-1 + 2*j**2 + 1)*(0 - 2 + 1 + (-12 - 10 + 15)*(-1 - 2 - 2)*(8 + 3 + 2)).\nAnswer: -908*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 82 + 12*x + 43 + 50*x to c*x + g and give c.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 - -1)*(-7)\/(-14). Let l be j\/(-14) + (-3)\/6. Suppose -8*o + 5*w = -13*o + 20, -o + 10 = 3*w. What is the second biggest value in o, l, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s - 73. Let f(d) = -d + 2. Let w(x) = -4*f(x) - i(x). Let v be w(10). Put 4, 2, -3, v in descending order.\nAnswer: v, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*u - 12 = 0, 3*s + 5 = 3*u + 17. Suppose -15 = -3*k + 2*w, k - s*w = -3*w. Let t = -1 + k. Solve -t*a + 12 = 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a century in months?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6\/q**(-3)*q*q**(-3)*q\/(q*q**(-6)\/q)*(q**(1\/4))**(-2\/151)*q\/(q*q*q**(-1\/2))*q**(2\/3) assuming q is positive.\nAnswer: q**(6416\/453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, w: 11}. What is prob of sequence iwww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Suppose -2*t = 10, -2*v - 4 = 3*t - 1. Suppose 2*z = -2*j - 8, 7*z + 5*j + 24 = v*z. Solve 3*n + 0*n - o + z = 0, s*n + 15 = -o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10461 - -1544?\nAnswer: 12225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -1. What is the nearest to -1\/3 in c, 0.5, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.36 + -2.06. Let p = v - 3.8. What is the third smallest value in 1\/4, p, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80340 + -43935. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93287507 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*z - 904, 2*b + 3*z = 160 + 207. What are the prime factors of b?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1006 divided by 2\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -0.3. Let m = 54 - 59. Let h be m\/(-3)*(-8 - -5). What is the closest to 0 in y, 2, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 11*a**3 + 3 - 9*a**3)*(-24*a + 2*a + a)*(0*a + 0*a + 2*a).\nAnswer: -84*a**5 - 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**4\/24 - r**3\/3 + 5*r**2. Let t be a(-4). What is the third derivative of -13*b**t - b**4 + 16*b**2 + 2*b**4 wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/9*(-6)\/(-8). Let c be (-3 + -1)\/2 + 400\/280. What is the smallest value in h, c, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 8*q**2 + q. Let u be c(8). Let n be 104\/10 - u\/20. Let p = n + -8. What is the lowest common multiple of p and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12868701 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s = 8. Suppose 9*o - s*o = -20. Does -4 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30838 is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n + 3 - n**3 - 1\/4*n**4 + n**2. Let d be 2\/5 - (-17)\/(-5). Calculate v(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2040 * -4\nAnswer: 8160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**2\/2 + 17*c - 26. Let x be r(-15). Solve -2*h - x*h - 20 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10728.43 * -2\nAnswer: -21456.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 17, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304454 is divided by 903.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10474 - 197 + 1110)*(1 - 1 + 2*u)*(u + 3*u - 3*u + (3*u + 2*u - 4*u)*(2 + 3 - 3)).\nAnswer: 68322*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y. Let x(j) be the third derivative of 0*j**4 + 0*j**3 - 1\/60*j**5 + 0 + 29*j**2 + 0*j. Give x(n(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*u = -5*c, 5*c = 2*u. Suppose c*j + 1\/4*j**4 + 1\/2*j**3 + 0 + 1\/4*j**2 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2565334023 + 4?\nAnswer: -2565334017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*f + 6, 5*h - 6 = -2*f + 2*h. Suppose -4*q + 32 = 4*g, -5*g + f = -2*q - 23. Let n(s) = -s**3 + 6*s**2 + 1. Determine n(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 16 = -36*i. Let s(q) = 6*q**2 + 2*q + 4. Let f be s(-3). Let v be 4\/14 - f\/(-14). Solve v*c + 17 = -5*m, 3*c + i*m = -0*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 201, 1575, 5303, 12561, 24525?\n\"Answer: 196*g**3 + g**2 - g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 0*q**3 - 2*q**3 + (2*q + q - 2*q + (257*q + 97*q - 4*q)*(1 + 0 - 5) + 0 + 0 - 2*q)*(0*q**2 - q**2 - q**2).\nAnswer: 2800*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2. Let t(q) = -54. Let k(f) = -f - 2. Let o(w) = 2*k(w) - 2*t(w). Give g(o(i)).\nAnswer: 12*i**2 - 1248*i + 32448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*h**4 - 64\/11*h**2 - 68\/11*h**3 + 6 + 68\/11*h = 0.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 11, -5.\nAnswer: -5, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001012457 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001986 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 324*x**2 + 3032*x + 3360.\nAnswer: 4*(x - 70)*(x - 12)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1, -193\/1105?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 47 + 58. Suppose r = -2*m + 3*m. Is 231\/m + (-4)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, 5, 4, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-68)\/51)*-1.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = 40*x - 253. Is 9413\/((x + -8)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434625442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 846720 and 115920.\nAnswer: 19474560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3297*v + 224. Let p be o(10). Is p\/(0 - (-1 - -3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -36, -4, -269 in descending order.\nAnswer: -4, -5, -36, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -6. Let p = -110 - -104. Which is bigger: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 976078 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 4*q - 3*q)*(2 - 3 - 2)*((0*q - 3*q + 2*q)*(0 + 3 - 1) + q + 2*q - 2*q - 2*q + 2 - 2).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 1501, -4\/3, -1 in decreasing order.\nAnswer: 1501, 1, -0.1, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24.1 in 1, 0, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*i + 120 = c, 2*c = 3*i + 60. Let k = -47 + c. Let q = k + 44. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1\/(u*u**(-3\/7)*u))**(-6\/17))**(-1\/2))**(-41) assuming u is positive.\nAnswer: u**(492\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*(1 - -2). Suppose -2*d - 3 = -3*d. Factor d - 1 + 0*y**2 - v*y**2.\nAnswer: -2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10709084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020646 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*17708726.\nAnswer: 1239610.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2019, 4656, 7867, 11652, 16011, 20944?\n\"Answer: 287*d**2 + 1776*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 18837.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2540)\/(-52) - (-2)\/13. Suppose -h = 4*h + 3*m - 252, -h + u = 2*m. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 4*h - 2. Let a be d(-2). Let u be ((-21)\/12)\/((-4)\/16). Suppose -f - u = -a*f. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4440 divided by 3.\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*x - 2*x. Let y = x + -13. Find j, given that 5*j**4 - 2*j**y + 0*j**4 - 3*j**4 - 3*j**2 - 7*j**2 + 4*j + 6*j**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 6*p**2 - 4*p - 3. Let l be 1 - (3 + 28\/(-4)). Let u be t(l). Solve -5*d + x = -u*d - 6, -4*d = -2*x - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50672729 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -604*v - 1354. List the prime factors of k(-20).\nAnswer: 2, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k - 17 + 17 + 24 as w + s*k and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2209000 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-16 - (29 - 45)) + 12 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 17 - 3*j + j**4 + 157*j**2 + 6 - 2*j**3 + 159*j**2 - 353*j**2 to the form h + m*j**3 + x*j + p*j**2 + b*j**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6626996 hours in minutes?\nAnswer: 39.761976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -395 + 377. Let s be (-18 - k) + (-6)\/4*-1. What is the fourth biggest value in 0.3, s, -9, -0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**3 - 5*t - 5. What is the units digit of m(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -28. Suppose 3*w + 0*j - 56 = 5*j, -113 = -4*w - j. Let v = w - t. Solve n + v = 6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 98370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3 - 2*c**2 - 9*c - 4 wrt c.\nAnswer: -12*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285 + 104 + 172811*z - 345619*z + 172806*z.\nAnswer: -2*z + 389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2952 rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8920 = 3*p + 5*n - 8925, -5*p + 5*n + 35 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -6. Let z be -1 - 1*p\/(-1). Suppose 0 = z*f - 7*f - 100. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + ((-17)\/(-68))\/(6\/232).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133110013 + -11011?\nAnswer: -133121030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 45, 46, 47?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -512a (base 11) in base 7?\nAnswer: -25564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12223 - -11?\nAnswer: 12300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yydcrycyyrcyccda. What is prob of picking 1 y, 2 c, and 1 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 9*d - 69 + 84 = 0, 0 = -2*p - 3*d + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3928 + -3921. Let j = -0.51 + 0.01. Let i = -0.5 - j. Sort 1\/4, b, i, 1 in descending order.\nAnswer: b, 1, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.57 - -3.07. What is the closest to -3 in -13, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*3\/2*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*j**2*w**2 + 9464*j**2*w*z - 2*j**2 - 1713*w**2*z**2 + w*z**2 wrt w?\nAnswer: -14*j**2 - 3426*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97597848811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -12 (b) 59 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 26*j**2 - 25*j + 21. Let z(t) = -14*t**2 + 13*t - 11. Let c(p) = 6*l(p) + 11*z(p). Determine c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 32 = -2*l, 3*z + l - 28 = -0*l. Suppose 5*s = z*s - 84. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14 - 70*k + 90*k - 3. Let u be t(12). Suppose -2*z + u = -5*h - 59, 4*z - 3*h - 634 = 0. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 3)*(3 + f - 3).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5 = 2*z - 1, 4*u - 2 = -2*z. Suppose v = -u*v + 20. Suppose 2*a + 3 = v. What is the highest common factor of 4 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (13\/52 + (-34)\/8). Solve -s + 3 = i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 12. Calculate the common denominator of -65\/9 and (1*p)\/(1\/1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 f when four letters picked without replacement from {d: 3, r: 2, f: 4}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 25 + -2 + -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3\/((-18)\/(-2478))*42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1, -6.\nAnswer: -6, -3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 + 4 = 0. Let t be v\/((-140)\/71) + 1. Let w be (12 - 12)*(-1)\/(-6). Is t bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 42 + 8. Suppose 4*i - 2*i - 8 = 0, a*g - 3*i = -2. Let m be 5 - g - 2 - (-28 - 3). Calculate the highest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 13*s**2 - 25081*s + 163. What is z(165)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.293 * 50.\nAnswer: 714.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12916 is divided by 1062?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 + 44*z**3 + 181*z**2 - 546*z = 0. What is z?\nAnswer: -39, -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2. Let j = -72 + 63. Let u(n) = 4*n + 9. Let l(k) = k + 2. Let d(r) = j*l(r) + 2*u(r). Determine d(w(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.272 - 9.572. Which is the third biggest value? (a) -5\/11 (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 - -159. Let l(d) = -d**2 + 51*d - 222. Give l(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 12 = 3*a, 124*a = 121*a + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(1\/16). Let i = n + 9. Suppose 0 = -2*t + 9 + i. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - 12. Calculate the common denominator of (-5)\/4*28\/t and (-123)\/6 - (-1)\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2 - -4 - (-13 + (-24 - -18)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100766095 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*-1 - ((sqrt(170) - ((sqrt(170) - -4*sqrt(170)) + sqrt(170)))\/sqrt(10))**2.\nAnswer: -425 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25808 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2 - s**2 - 5*s + 1 + 6. Calculate o(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5009*y**3 + 2508*y**3 + 2499*y**3 + 1 + 2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8523484 + 15931*s + 8523484)*(0*s**2 - 3*s**2 + s**2).\nAnswer: -31862*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**6\/360 + h**5\/60 - h**4\/4 - h**3 + 24. Let p(d) be the third derivative of i(d). Calculate p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 35 + 59 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2642083 and 13.434.\nAnswer: -2642069.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 25*q**3 - 2*q + 25. Let a(n) = 76*n**3 - 5*n + 76. Let j be (-6)\/(-6) + -15 + 3. Let i(b) = j*h(b) + 4*a(b). Find the first derivative of i(f) wrt f.\nAnswer: 87*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 15. Let f be k(-5). Solve -2*n - 3*n - 5 = f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81777*v**3 - 81774*v**3 + 163546*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 15. Let x be d(11). Suppose -2*q - 3*j + 3 = -2, 0 = -4*q - j + 25. Let g = q + -3. Solve f - 5 = -w, 3*w - x*f = g*w - 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -0.1 (c) -26 (d) 0.1 (e) -2 (f) -0.05 (g) 2.6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5191611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 177401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, 11\/23, 56, 3\/131?\nAnswer: 3\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49540, 99163, 148862, 198637, 248488, 298415, 348418?\n\"Answer: 38*n**2 + 49509*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*b - 67734 = -197872. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26731 is divided by 176.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 31 - (-20 + (-22 - -57))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/17? (a) 0.66 (b) 1 (c) -1 (d) 0.108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 219734189 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -13 - 2. Let v be (i\/2)\/(4\/8). Solve -p = y - 8, v*y + 4*p - 37 = -8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -144. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8562841911 and -3?\nAnswer: 8562841908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 19*n + 6. Let c be t(-4). Suppose 30*s = c*s - 18280. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4661.18 days in nanoseconds?\nAnswer: 402725952000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, g: 5, s: 2}. What is prob of picking 1 s and 1 j?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 3. Let s(y) be the first derivative of 1\/4*y**4 + 0*y - 5 + 4\/3*y**3 + y**2. Let f(i) = -i**2. What is a*f(l) - s(l)?\nAnswer: -l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 4*l - 3. Let a be r(5). Suppose -4 = -0*i - i + 4*v, -2*v = -3*i + 12. Suppose 4 = i*y - 0. Is a at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241083914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/9))\/(l\/l**4))\/(l\/(l*l\/(l\/l**(1\/3)*l)))**43)**(11\/6) assuming l is positive.\nAnswer: l**(-1210\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.4743 rounded to the nearest integer?\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**2\/2 + 35. Let u(y) = -54*y**2. What is u(x(s))?\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.04 - 13. Let g = f - 2.84. Let a = 2.79869 + g. Round a to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 5, k: 1, g: 3, j: 6, m: 1}. Give prob of picking 1 j and 1 g.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 268 + -265. Which is smaller: c or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12 - p + 13.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/10 - 98\/(-35). What is the lowest common multiple of q*((-45)\/(-30))\/(1\/9) and 21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84262?\nAnswer: 2, 42131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/12*678\/4. Calculate the greatest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 = -10. Let x be 35\/15 - (-1)\/o. Suppose -f = -v - 16, -v + 3*v - 40 = -x*f. Round f to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 27*k**3. Let q be z(-1). Let r = q + 51. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4997450960 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f - f + f)*(4*f - 2*f - f) - 2*f**2 + 4*f**2 - f**2)*(-6 - 13*f + 6) + f**3 - 2*f + 2*f.\nAnswer: -38*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/d**20)\/d)*d*d\/(d\/(d*((d\/((d\/d**(4\/3))\/d))\/d)\/d*d))*d assuming d is positive.\nAnswer: d**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 97, 148, 201?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3785 by -5.\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 371*m - 369*m - 20. Solve 5*i = m - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a - 8. Let i(b) = 1. Determine c(t) + 6*i(t).\nAnswer: 8*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 9 + -1 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(192)*4)\/sqrt(6)*-3)**2.\nAnswer: 4607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13 - 7 = 0. What is h in -7 + 7*h + w - 10*h - h**2 + 1 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23631479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 0.9. Let m be 3\/1 - (-15)\/(-5). Let d = m + 2. Which is the nearest to -0.2? (a) 0 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 6*z = -7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sew when three letters picked without replacement from {h: 3, s: 1, d: 1, e: 2, y: 1, w: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 + -185. Is (-4 - (2 + h)*1) + 58 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 5. Let u be j(-3). Let m be u\/(85\/30 + -3). Solve n = m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -107 + 109. Sort -3, 42, q in decreasing order.\nAnswer: 42, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2576621 + 170?\nAnswer: 2577011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 24\/(-15))*-5. Let h = 15 + -11. Is (-65)\/(h\/2 + f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = 0, 0 = 3*z + m + m + 176. Let a = z + 60. Let j = 4 - a. Do 4\/11 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a second?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*b**3 - 1\/2*b**2 + 17\/2*b - 15\/2 = 0. What is b?\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 42 = -13. Let d(s) be the first derivative of -n + 0*s - 5\/4*s**4 + s**3 + 0*s**2. Find the third derivative of d(m) wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let z(f) = -16*f**2 + 16*f + 4. Suppose -18*a + 0 - 18 = 0. Let b(u) = a*z(u) + 5*r(u). Differentiate b(l) wrt l.\nAnswer: 12*l - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -0.02678958\nAnswer: 12.97321042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1033792 = -5006*r + 4977*r. What are the prime factors of r?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7907709?\nAnswer: 3, 181, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4282, 8552, 12822?\n\"Answer: 4270*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u - 211. Determine i(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25405 and 4220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5019280 divided by -64\nAnswer: 313705\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000136801 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*z = -674, 0 = -3*q + 7*q + 3*z - 690. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2 - 142*o - 528. Let q be h(-24). Let d = 392 - 19991\/51. Is q >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, 0, 0.1375?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63826528, -63826527, -63826526?\n\"Answer: c - 63826529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06605 and 58.\nAnswer: 3.8309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*m**3 + 58278*m**2 - 77692*m + 25896 = 0. Calculate m.\nAnswer: 2\/3, 6474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 2 + 23 - 8*p - 21.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j + 20 + 18 - 30. Let v be u(0). Calculate the highest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4394\/5 - -878. Let w = -707 - -3524\/5. Let q(h) = -4*h - 82. Let z be q(-21). Sort z, w, y in increasing order.\nAnswer: w, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 32\nAnswer: 7\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*46\/(-69). Let f be 2 + 122\/(-32) + 2. Is f at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/21340 and -109\/22720.\nAnswer: 24242240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - w - 1. Suppose -n = 4*n - 370. Let t be (-6)\/(-21) - n\/14. What is the remainder when p(t) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 1. Let o be u(5). Suppose -o*c = 5*a + 18, 1 + 20 = -5*a - 3*c. Let m be 0 + 1\/(4\/a). Put 5, m, 2\/3 in increasing order.\nAnswer: m, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15473219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 4\/3 (b) -107 (c) 3\/5 (d) -2\/85 (e) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169635987.8 - -1709508.2. Let h = c + -171345500.99999991. Let t = h + 5. What is t rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20240 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*y**2 + 2 - 93*y**2 - y + 1 to the form l*y**2 + c*y + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 440.366034033 + -0.365537033. Let p = v - 440. What is p rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 1 + c + 12*c**4 - 4*c + 2*c**2 in the form i*c + v*c**3 + n*c**2 + h*c**4 + y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -640 - -2561\/4. What is the closest to 0 in -2, -2\/7, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 + 0 + 0)*(-584 + 876 + 1380).\nAnswer: -3344*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106 a factor of 291793170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.083, 7.1, 0?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24228 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2875535 divided by 4.\nAnswer: 2875535\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**4*r**2 - n**4*r + 2*n**2*r**2 - 38*n**2 wrt n?\nAnswer: -120*n*r**2 - 24*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-198) - 1074\/22. Put 0, 4\/7, g in decreasing order.\nAnswer: 4\/7, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.395 + -0.4. What is v rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/24 + -19\/6. Which is the third biggest value? (a) -4 (b) -1\/3 (c) k (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.2295 - -20.4294928. Let y = -2.2 + u. Round y to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347092679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110 (base 2) to base 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Suppose 5*r - 2*q - 18 = 0, 9*q - 3*q - 18 = -3*r. Let j(v) = v**2 + v. Determine r*j(l) - 2*p(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -2. Let s(v) = 0*v**2 - 2 - 2*v**2 + 4*v**2. Let j(l) = -2*l**2 + 3. Determine a*s(b) - 2*j(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*w - 3, -4*w = -2*f + w - 7. Let d = 0 - f. Let l = 8 + d. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1148.31671 - -2.19329. Let p = d - 1145. What is p rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n - 37*n + 23*n + 11.\nAnswer: 2*n + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3449446 and -127\/2574?\nAnswer: 31045014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*h**3*l - 2*h**3 - 210*h**2*l + 665*h**2 + 7769*h*l - 343*l wrt h?\nAnswer: -42*h*l - 12*h - 420*l + 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177027230 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 16. Suppose -3*d = 5*z - 8, -5*z + a*d = 3*d - 6. Let y be 3 + -60769*(-13)\/z. Round y to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-2)*80\/400*(-1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*i + 5*i. Suppose 13 = -2*h + 5*s, -i*h + 13 = -4*s + 3*s. Suppose 7*z - h*z = 27. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15*30\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 18018 = 5*b, 2*c + 3*c + b - 22537 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/1571770 + -7983019907\/121026290. Let l = 491\/7 + m. What is the common denominator of l and -133\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 138. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*n = -164 + 116, -h = -2*n + 12 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80749, 80539, 80343, 80167, 80017, 79899, 79819?\nAnswer: 79783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -3 (c) -0.5 (d) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/24*(-9)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v + 4*h - 145 = 0, -4*v - 253862*h = -253859*h + 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*w + 35 - 154, 3*w + 5*k = 77. Suppose 4*v + 4 = w. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 32*w + w**2 + 4 - 27*w - 1. Let q(t) = -t**3 - 4*t**2 + 5*t - 2. Let c be q(-5). What is l(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -825549.2 rounded to the nearest 100?\nAnswer: -825500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 35*h**2 + 84*h + 76. Is 95 a factor of a(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*r = 6, -o - 4*o + 41 = -4*r. Sort o, -1, 4.\nAnswer: -1, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695.0618ml to litres.\nAnswer: 0.6950618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2 = -i, 3*m + 2*i - 2 = 2. Let k = 0.1 - 0.3. What is the third smallest value in m, -2\/13, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -12. Let q = -12.05 + p. Let c = -0.0500103 - q. What is c rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 11. Let o(w) = -w**3 + 5*w**2 + 85*w. Let v be o(12). Determine r(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10514569 rounded to three decimal places?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1298 + 1344. Calculate the highest common divisor of 7 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + 3*(sqrt(26)\/sqrt(2))**2 + (sqrt(13) - (sqrt(13) - -1*(sqrt(13) + sqrt(117)))).\nAnswer: -3*sqrt(13) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/2))**(-9)*(j*j**(2\/5)\/j*j)**28 assuming j is positive.\nAnswer: j**(347\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5492, -10983, -16474, -21965?\nAnswer: -27456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {t: 1, p: 1, m: 2, d: 1, j: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2029 + -724. What is the highest common divisor of i and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/120 + 11*a**5\/60 - 5*a**4\/12 - 25*a**3\/6 - 10*a**2. Let r be b(11). Let x = 239 + r. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkkb when four letters picked without replacement from kbkbbbkbkkbk?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1574 (base 11) to base 7.\nAnswer: 5611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 - 3665\/280 - (-2)\/(-5)*(-30)\/32. Factor p*w**2 + 26\/7*w + 0.\nAnswer: 2*w*(w + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/130728 and -115\/30168?\nAnswer: 392184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -120, -201, -304, -435, -600, -805?\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -14e9?\nAnswer: 14d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 78 = 2*t. Suppose 142*v - 145*v + 21 = 0. What is the remainder when -1*-2*t\/4 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 + 2*z - 5. Let q(c) = -c**3 - 13*c**2 + c + 6. Let k = -27 + 14. Let n be q(k). Is w(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(99)) - 2*(0 + sqrt(99)) - ((4*-2*sqrt(66))\/sqrt(6) + -1)**2.\nAnswer: -704 - 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157493 is divided by 316?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1534*m**3 - m**2 - 10*m wrt m?\nAnswer: 9204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 + 80*n - 1536 = 0 for n.\nAnswer: -32, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 36*o**2 - 82*o + 28. What is i(38)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by -5.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 + -16.4. Let q = -15 - v. Sort -0.3, 2, q in decreasing order.\nAnswer: 2, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23301200 (base 4) to base 6.\nAnswer: 1011132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r**2 - 59*r - 14. What is the least common multiple of z(-8) and 3098?\nAnswer: 15490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -6 in decreasing order.\nAnswer: -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 61. Let p be s(31). Solve -p - 8 = 9*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/177992 and 73\/8?\nAnswer: 177992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196*g**4 + 8*g**3 + 1195 wrt g.\nAnswer: -784*g**3 + 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34485 + 86878 = 99*r + 22*r. Put r, 2\/3, -1\/5 in decreasing order.\nAnswer: r, 2\/3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31, -29, -59, -139, -287, -521, -859?\n\"Answer: -3*h**3 + 2*h**2 + 17*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46469706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.18 - 4.625. Let v = 3.445 + j. Which is bigger: v or -22?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 4*g - 24. Let d be 26\/g - (-1)\/(-3). What is the second derivative of -6*x + 2*x**2 + x - 3*x + d*x wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325527.4nm to kilometers.\nAnswer: 0.0000003255274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6689564 and 1433478?\nAnswer: 20068692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.00343, 0.3, 2\/39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -568, 2, -0.3, 23, 6?\nAnswer: -568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/13*141440\/(-44880).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/8 - 21*v**3\/8 - 161*v**2\/8 - 531*v\/8 - 315\/4 = 0. What is v?\nAnswer: -7, -6, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -446493 + 72069. Let b = k + -79808. Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and 49458.\nAnswer: 49467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 115*t - 113*t + 16, -4*g - 3*t = -11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -7\/2*j**2 - 13*j**4 - 14 - 5*j + 7\/6*j**3. What is the second derivative of p(i) wrt i?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 48 = -6*i. Suppose l - 3*l = -i. Let p(r) = -10*r - 51. What is the remainder when p(-6) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*t - 11 = -2*t, -z = 2*t - 3. Let f(h) = 3*h - 4. Let a(u) = -2*u + 3. Let n be 4\/(-30) - (-584)\/(-120). Give n*f(k) + z*a(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = l - 29*l - 102 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205444316*t**3 - 93830261 wrt t.\nAnswer: 616332948*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 10 + 4*x - 1 + 8 + x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 - 718\/(-9). Let r be 5\/1*(-138)\/(-30). Suppose 4*u - 9 = r. What is the highest common factor of b and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - -119. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-28) - 34\/(-168)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 66. Let q be g(-23). Which is the closest to 1\/2? (a) -3 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1138 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514860624?\nAnswer: 2, 3, 37, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 782*m + 948*m + 226*m + 387*m + 1510*m in the form t*m + f and give t.\nAnswer: 3853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2517 - 268 = t, 6*t = 3*g + 13548. Let a = t + -4509\/2. Factor -10*v**2 + 0*v + a*v**4 + 0 + 15\/2*v**3.\nAnswer: 5*v**2*(v - 1)*(v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxpxxppppp. Give prob of picking 2 p and 2 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -802 by 135.\nAnswer: -802\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -v - 4*v. What is the remainder when 11 is divided by (-12)\/8*v\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 117247090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30904281*c**3 + 62080498*c**2 wrt c?\nAnswer: 185425686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o - 4*t + 5671290 = 5671079, -3*o - t = 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24571.6 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 19. Let u = x + 14. Let b = 311\/10 - 923\/30. Which is greater: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*t**6 - 222*k**3*t + 35*k**2*t**2 - 3*k**2*t + 54083*t**6 - 3*t**2 wrt t?\nAnswer: 120*k**3*t**3 + 6489960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*24\/(-45)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 684\/400 - (-5)\/100*-10 and 91\/160.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31605\/6664 - 4\/(-68)*-2 and 37\/26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 420036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x\/(x*x**(-22)))\/x*x**36)\/(x**(-31)*x*x**(-5\/17)))**21 assuming x is positive.\nAnswer: x**(31878\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 251.\nAnswer: 10.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/2 + 3*z**2 + z. Let i be u(-4). Let p = i + 4. Which is smaller: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227024 - 2*t**3 - 227024.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 675 = 5*c. Suppose 3*z = 3*w + c, 150 - 20 = 3*z - 4*w. Let k be (-1)\/(-2)*z\/5. Solve -4*n = -t - n + k, -3 = 3*t - 3*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*(-27)\/(-54))\/(54\/(-4))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991869 is divided by 254?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 19689338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/2 - (2 - 4). Let l be (b - (-2)\/6)*9. Suppose -2*g - 3*g - 9 = -4*z, 0 = -3*z - l*g + 27. Calculate the smallest common multiple of z and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3 - 5466*s**2 + 21852*s - 21848 = 0.\nAnswer: 2, 5462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 47.94. Sort u, 3\/5, -2 in descending order.\nAnswer: 3\/5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2563\/5 + 512. Which is the third biggest value? (a) -0.03 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 36. Give i(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4891863 divided by 1630621?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 10:25 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - 6*4\/12. Factor -12*c**4 + 1 + 3 + 4*c**5 - 7*c + p*c**2 + 8*c**3 - 5*c.\nAnswer: 4*(c - 1)**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1628206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let s(r) = 2*r**2 + 5666*r. Give s(h(q)).\nAnswer: 2*q**4 - 5666*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -26*g - 21. Let i be f(9). Let o be 36\/24*(-4)\/i. Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6 + 139*u - 52*u - 7*u**2 - u**3 - 87*u. Suppose -4*c = 4*s + 40, 2*c - 3*s - 2*s - 1 = 0. Calculate h(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2468.3 - 2468. What is the nearest to -3 in 2.7, d, 2, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3400363\nAnswer: -3400363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 57, 35, 5, -3\/1136?\nAnswer: -3\/1136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 64*n - 270 = 0. Suppose -4*f + 25 = -3*f. Solve j = n*j - f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/110)\/((21\/(-35))\/3)*126\/(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 22 = -2*r, -3*r + 19 = -4*s + 16. Solve 5 + 15 = -5*y - 3*m, 2*y = m + s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7160323, -7160311, -7160299, -7160287, -7160275?\n\"Answer: 12*b - 7160335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 833, 1666, 2499?\n\"Answer: 833*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -118. Suppose -27*g + m*g = -44865. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**4 + 27364*v**3 + 12*v**2 - 82084*v - 54728 = 0. What is v?\nAnswer: -1, 2, 6841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 1992435?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211120100 (base 3) to base 13.\nAnswer: -7647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 + 21 + 51 - -59?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 26*l - 74. Let w be v(6). Suppose 5*b = -4*m - 1523, -5*m + 9*b - 1888 = w*b. What is m rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/6 - (-2)\/6. Let w = y - 8. Suppose -4\/3*s**4 + 0*s + w + 5\/3*s**3 - 2\/3*s**2 + 1\/3*s**5 = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - s + 0)*(1 + 2 - 4) + s - 2 + 2 + 4*s - 3*s + 0*s + (-2*s + 2*s - 2*s)*(-6 + 1 + 3) - 2*s + 1 - 1.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 15*k + 21. Let d be ((-14)\/10)\/(10\/(-100)). Determine l(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1124 + 655348.66.\nAnswer: 654224.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 2*c - 1. Suppose 2*r - 6 = 8*r. Let v be a(r). Solve 3*y - 9 = -2*p, v*p - p - 5 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 8. Let q(l) = l**3 + 2*l**2 + 6*l - 3. Let i(y) = -y**2 + y. Let x(m) = 3*i(m) - q(m). Give x(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*k + 1189099 = 34*k - 5425091. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752 divided by -438297.\nAnswer: -752\/438297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 16*r**2 - 1 - 1 - 4*r**2 in the form j*r + l*r**2 + g and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702 and 2158.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlwwqlhlhlhll. Give prob of sequence qwh.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5230, 5199, 5154, 5101, 5046, 4995, 4954?\n\"Answer: f**3 - 13*f**2 + f + 5241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 4:16 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -442 - -889. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2522, -2524, -2526, -2528, -2530?\nAnswer: -2532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 45. Let w = 24 - 25. Let g = w + 6. Which is the second biggest value? (a) g (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.72 - 0.28. Let h = 12 + q. Let z = h - -2. What is the third biggest value in z, 1\/4, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 16515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/60 - a**3\/6 - 567*a**2. Let q(z) = 2*z**3 - 4*z**2 + 5*z - 5. Give q(g) - 5*s(g).\nAnswer: 2*g**3 + g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 4 = -7*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1612*b**4 + 93 wrt b.\nAnswer: 6448*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549040.9 millennia to centuries.\nAnswer: 5490409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -47. Suppose -f*m + 41 + 99 = 0. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13920, 52612, 117098, 207378?\n\"Answer: 12897*k**2 + k + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3627 - -3505 - (-6)\/(-1)*(-4)\/40*-5\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2811404*g**3*q - 16*g**3 - 2*g - 2870 wrt q?\nAnswer: 2811404*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -3981.\nAnswer: 23886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -26, 0.05, 23, 31, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8682895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2152 + 2153. Calculate the highest common factor of y and 94.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 - 2*m - 2. Let a(d) = 4*d**2 + d + 1. Let w(g) = -2*a(g) - 3*x(g). Determine h so that w(h) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 1485185.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31605\/(-860) + 2090\/55?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50154498539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from tttrkkkktttrkttt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30885\/23 + 1343. What is the nearest to -4 in n, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b55 + 55?\nAnswer: -b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let l be (4\/78 - 60760\/(-7644))\/2. Let d = 779\/7 + -111. What is the third biggest value in d, l, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*b = -29, -6*g - 552 = -3*b - 573 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j**2 - 397*j + 307. Is t(61) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - t**2 - 2*t - 3. Let v be u(-3). Let r = 85 + v. What is the remainder when 74 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + w**2 + 2*w**2 + 2*w + (6*w - 3*w - w)*(-2*w + 6*w + 2 + 0*w) to d + u*w + p*w**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -237801190111 take away -0.4?\nAnswer: -237801190110.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4762616mm?\nAnswer: 0.04762616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 36*x - 1. What are the prime factors of b(1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15092 = -61*u + 39*u. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 234 + 201 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/40 + l**3 - 16*l**2. Find the first derivative of i(u) wrt u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 476401 times 925\nAnswer: 440670925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**3 + 4*y**3 - 3*y**3)*(0 + 2 + 0)*(-14*y + 16*y + 36*y) in the form n*y**2 + c*y + l*y**3 + h*y**4 + k and give h.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = -4*b + 3*b, -3*c = -2*b. Let m(s) = s - s - c*s. Let i(z) be the first derivative of z**3 + 6. Calculate m(i(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 196\/27 or 0.03435?\nAnswer: 196\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l - 4 + 10*l + 3)*(-3*l + l - 3*l) - 3*l**2 - l**2 + 3*l**2.\nAnswer: 19*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 12. Let b(j) be the third derivative of 0*j - 4*j**2 + 4 - 1\/8*j**4 + 0*j**3. Calculate t(b(y)).\nAnswer: -3*y - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 14*u + 2. Let q be s(14). Let m = q - -9. Calculate the greatest common factor of 77 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4, 0*w = -j - 3*w - 6. Let g(y) be the first derivative of 4*y + 1\/4*y**4 - 3 - 7\/3*y**3 + 5\/2*y**2. Calculate g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 5:36 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6500 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3393, -12050, -26447, -46584, -72461, -104078, -141435?\nAnswer: -184532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*-4)\/sqrt(12) + 4.\nAnswer: -40*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141667\/6 - -23611. Which is the biggest value? (a) 0 (b) 1640 (c) n (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, -3, -15385 in descending order.\nAnswer: -3, -153, -15385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -22. Suppose 2*j - 23 = -a*y, -2*j + 1 - 3 = 0. Let d = 30 + -17. Calculate the remainder when d is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-320)\/12)\/(-8) + -2. Factor -2\/3*n**5 + 0*n**2 + l*n**3 + 0*n**4 + 0 - 2\/3*n.\nAnswer: -2*n*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -43, -896, 0.3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 155 and 144.42415.\nAnswer: 299.42415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*l = 9, 7 = -2*f + 5*l - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Let h(n) be the second derivative of 13*n**3\/6 + 10*n**2 - 16*n. What is the units digit of h(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-7)\/(3\/(-15732)*3) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 3. Let k(t) = t**3 - 8*t**2 + 5*t + 21. Let y be k(9). Suppose 3*f = 294 + y. Let m be 1218\/f - (-2)\/(-7). What is w(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**7\/840 + k**6\/72 + k**5\/30 - k**3 + 4. Let r(p) be the third derivative of z(p). Calculate r(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -3.699\nAnswer: 14.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.23 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*p**4 + 4\/7*p**5 + 0 - 1936\/7*p**2 - 26620\/7*p + 792\/7*p**3 = 0. Calculate p.\nAnswer: -11, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 3*v + 21. Suppose v - 7 = h. Suppose h = -5*t + 20, 2*a - 63 = -2*t + 161. Calculate the greatest common factor of a and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/92*3\/18*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p. Let r(y) = -31*y + 5. Let c(i) = -15*i + 3. Let d(t) = 5*c(t) - 3*r(t). Determine d(x(b)).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21222 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 35 = -5*u, u = -3*u + 2*x - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 1210*w**4 - 1207*w**4 + 55*w**3 + 13 + 3*w wrt w.\nAnswer: 36*w**2 + 330*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buub when four letters picked without replacement from {u: 3, b: 3, x: 4, e: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(-2\/17)))\/i**(-6))\/(((i*i\/(i**(2\/57)\/i*i))\/i)\/i*i\/(i\/i**(-9\/5))))**44 assuming i is positive.\nAnswer: i**(1645204\/4845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136*r*u**2*y + 4*r*u**2 - 83*r + 5*u**2*y wrt y?\nAnswer: -136*r*u**2 + 5*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**(-2\/5)))**(-4\/9))**(-10\/9) assuming y is positive.\nAnswer: y**(8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 0. Suppose d = -w - 4*u - 12, -4*w = 4*u. Suppose z - 4*x - 13 = 0, 0 = -4*z - w*x + 25 + 47. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61658667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4*r = -6, -4070*m + 3*r = -4071*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = -3*r + 241. Let w = -167 - -468. Suppose 0 = -m - 3*j + r, -2*j = -2*m + 35 + w. Round m to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*o + 210 - 130, -t = -3*o + 28. Let s = 32 - 52. Is t smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uusb when four letters picked without replacement from subu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i\/i**10*i)\/i)*(i**(12\/5)*i)\/i assuming i is positive.\nAnswer: i**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/(21\/(-21))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.9 - 15. What is the fourth biggest value in -3\/2, 4, a, 0.01?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-10 + 9 + -9 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -738747\/10 + 73966. Let r = o - 91. Let y = -4\/5 + r. Which is the closest to 0.1? (a) 0 (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 1150\/30 - 4\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4610 - 3157. Let g = -509 + y. List the prime factors of g.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1070 by -6.\nAnswer: -535\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 472*u + 17751. Calculate m(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (38 - -1) + 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/119846 and -151\/2976.\nAnswer: 5752608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqqzzsssqzsqs. What is prob of picking 1 s and 3 q?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 5*c - 5. Suppose -49 = -5*y + m, 3*m - 53 = -5*y - 0*m. Let i be g(y). Calculate the greatest common divisor of 29 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9e (base 15) to base 10\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 1\/35*s**5 + 1\/7*s**4 + s - 23 + 0*s**2 + 0*s**3. Factor p(t).\nAnswer: 4*t**2*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46654 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11647 is divided by 185?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-26 - -16) - -9 - (7 - 1) - 85\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/3 (b) 1 (c) -202 (d) -3 (e) -21 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, d: 2, c: 2, v: 2, u: 2}. Give prob of sequence vdva.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -873120, -1745928, -2618736, -3491544, -4364352?\n\"Answer: -872808*d - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 746 - 741. Suppose q*i = -5*p + 5, -i + 2*p + 135 = 140. Which is smaller: 4\/403 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*j + 2, 5*j - 5*u - 35 = -10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 - 57*j - 202. Let o be m(-63). Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(-3 - (5 - 5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*o + 12, -8 = -2*o - 0. Suppose 40 = 5*w - 0*w. Solve -2*y = -r*y - w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 + 5*r**4 + 105*r**3 - 205*r**2 + 100*r = 0.\nAnswer: -5, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2889356, -3, 1\/6 in descending order.\nAnswer: 1\/6, -3, -2889356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 37240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 31*t. Let j(i) = -429 + 141 + 143 + 5*i**2 + 145. Calculate w(j(d)).\nAnswer: 75*d**4 - 155*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-1)\/(-2 - 0)). What is the units digit of m - (-27 + 4 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {h: 1, e: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 + (-17 - (-61 + 56)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 68650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 - 1506*z**2 + 6031*z\/2 + 4521.\nAnswer: -(z - 3)*(z + 1)*(z + 3014)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 232.0381762 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (4 - 4\/((-8)\/(-6))). Solve -2*r - u = -0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -4, 950, 0, -0.32 in ascending order.\nAnswer: -4, -0.32, 0, 32, 950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131937, 131944, 131951, 131958?\nAnswer: 131965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 10. Suppose -15 = 3*p, -3*d = -4*d + 5*p + 44. Suppose 0 = t + 5*n + 7 - d, -n = -2. What is the smallest common multiple of t and i(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**7\/21 + b**3 - 7*b**2. Differentiate q(i) wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - (-4 - (4 - 8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = -78. Is (-4)\/6*u\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + sqrt(8) + 0 + -3 - sqrt(56)\/(sqrt(21)\/sqrt(3)) - -2*(sqrt(288) - (1 + sqrt(288)*-1) - sqrt(288) - sqrt(288))) + 1)**2.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 6662*v**5\/5 + 1401*v**2 - 6331. What is the second derivative of h(x) wrt x?\nAnswer: 79944*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/120 + a**5\/20 + a**4\/8 + 2*a**3\/3 + 4*a**2. Let q be s(4). Solve -g - 2 = -q*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 68*n - 67*n - 3 + 7*n**2 to v*n**2 + b + u*n and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-213120)\/330)\/32 + 20\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*v - 4 = 0, -v - 35 + 12 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**5\/4 + i**2 - 2*i. What is the derivative of c(j) wrt j?\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*l = -3*l - 28, -32*h + 33*h + 4*l = 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242205 (base 9) to base 4.\nAnswer: -203220233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + (10 - 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2248389 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110997957.\nAnswer: 3, 7, 937, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 2) to base 4.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34, 307, 1048, 2491, 4870?\n\"Answer: 39*l**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7052 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1229 = -19*p + 1115 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-21))\/n)\/n)**35\/(n**(-9\/8)\/(n*n**(6\/5))) assuming n is positive.\nAnswer: n**(28133\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20427 (base 14) in base 9?\nAnswer: 127458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*4*3 + sqrt(432) - sqrt(432)) + (sqrt(432) + 2 + -5)**2 + (sqrt(432)*2*-6*-4)**2*4.\nAnswer: 72*sqrt(3) + 3981753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -318 divided by -159\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1473 divide 22395492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -2*(-315)\/(-30) + 4553 and 8?\nAnswer: 9064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.99 + -0.01. Let f = w + 1.6. Let q = f - 0.6. Which is the nearest to q? (a) 0 (b) -2\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 + 1.8. Let r = -0.07 - 1.63. Let q = b - r. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 0) + 8 - (0 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 133321 = 2*v, 3*l - 266113 - 133847 = -3*v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v + 3. Let k(u) = 26*u + 16. Suppose p - 55 + 39 = 0. What is p*i(l) - 3*k(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.43 - 4.43. Which is the biggest value? (a) z (b) -0.5 (c) -3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -387 + 203. Let c = n - -220. What is the greatest common divisor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37\/18 in -1, 2, -2\/7, 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 3*c**2 - 377 + 139 - 466 + 54.\nAnswer: c**2 - 650","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 11*c + 8. Let l be t(5). Let k be -3*(l\/(-12) + 1). Suppose 8 + 8 = k*p. Solve p*b = 2 - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z - 2*z - 13*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52422226 and 2062.\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 38. Suppose v = 4*q, -x + q + 73 = 2*q. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 l when four letters picked without replacement from {l: 6, m: 10, g: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222918 + 496351 = 92*r - 262739. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - z)*(2*z - 2*z**4 - 2*z) - 393*z**5 + 5611*z - 5611*z.\nAnswer: -391*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6465300 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z**2. Let p(q) = 5*q**2 + 7. Let u(r) = 2*r**2 + 2. Let k(g) = -2*p(g) + 7*u(g). Give d(k(f)).\nAnswer: 144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4452 = -44*v + 2*v. What is the remainder when 1695 is divided by v?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j - 2. Let b(v) = -26*v - 11. Give 2*b(t) - 11*y(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14. Let d(u) = u**2 - 4*u - 3. Let i be d(5). Solve -i*m - m = p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*d**2*v**3 + 106338*d**2 + 3*d*v - 26598172*v**3 wrt d.\nAnswer: 20*d*v**3 + 212676*d + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, w: 3}. What is prob of picking 2 w and 2 y?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/50 + (2 - (-185)\/(-50)). Let g be 62\/(-60) + (-2)\/(-6). Let f = 1\/5 + g. Sort 3, k, f in decreasing order.\nAnswer: 3, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 163957.879 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 127*t - 28 - 26 to the form k + p*t and give p.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 104 - t - 5 - 25 - 60.\nAnswer: -t - 275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + -1 - 1) + -1. Suppose -2*y = 4*j - 96, -2*j + 0*j = -2*y + 84. Let k = y - 19. Solve f*x - x = -k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - 594*i + 14058. What is v(119)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 953700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.623 take away -42?\nAnswer: 30.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = 2*n + x, -5 = -5*n + x. Suppose 0*b - 3*b = n. Is b at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 10:41 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*a + 320*a = 24. Calculate the remainder when 60 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2255513291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 218.22 and 65.46322.\nAnswer: 283.68322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/246 and 103\/84.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 598, 1681, 3284, 5401, 8026, 11153, 14776?\nAnswer: 18889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*k**2 - 985*k + 90*k**2 - 62*k**2 wrt k.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354442.\nAnswer: 2, 11, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != -4574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1979.4 and 0.1?\nAnswer: 1979.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1349, 2, 5, -147, -0.4?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -9*k + 4*k + 274, k + 4 = 0. Suppose 0 = 2*x - 3*x - 4*r + 11, 2*x - r = -5. Let b = 15 + x. What is the highest common factor of o and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-609)\/(-174) - (-34)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5322154l in millilitres?\nAnswer: 532.2154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/3*r + 4*r**2 - 32\/3 = 0. Calculate r.\nAnswer: -1, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 2 = 2*y - 13*s, 2*y - 4*s = -14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 39*j + 16. What is t(-37)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00068889 rounded to six decimal places?\nAnswer: -0.000689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -965 - 4737 = -454*f + 2275 + 649 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 215595573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 10. Suppose 0*f + a = 5*f. Factor -1 + 1 - 63*u**2 + 62*u**f.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -676, -741, -850, -1003?\n\"Answer: -22*v**2 + v - 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/2)\/(3 + (-7 - -9)). Which is the nearest to 1\/2? (a) d (b) 0.092 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -16. What is the remainder when 2 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 8. Let p(z) = -4*z + 3. Let g(t) = -4*p(t) - 3*w(t). Let x be g(-6). Let k(m) = -m**2 - 15*m - 9. What is k(x)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-5)*(-6)\/((-546)\/715). Are k and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*b**2 - 127*b**3 - 124*b**3 + 77*b**2 + 5 - 5 wrt b?\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u + 1. Let o = 1107 + -1109. Let z(b) = -10*b - 1. Calculate o*w(x) - 3*z(x).\nAnswer: 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-6 + (-2)\/2*-4). Let k = 1 - 10. Let y be k\/300*(-20)\/24. Is y greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -27*j + 111. Let h(q) = -4*q + 10. Calculate h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 932 = 594. What is the greatest common divisor of z and 702?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 4. Let k be n(2). Suppose -3*u - 2*c = -k*c + 231, 3*u + 231 = 5*c. Let i = -28 - u. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 2, -108.\nAnswer: -108, -9, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*a - 9*a. Suppose 5*r - 40 = -2*h + 6*h, a*h = 4*r - 41. Calculate the common denominator of -45\/2 and 2\/h - (-644)\/(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -24 + 29 - 3*w + 65 + w. What is the hundreds digit of i(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 6) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*x + 10422 - 8822 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10*(-3730)\/(-12). Let s = 62 + t. What is the second biggest value in 2\/13, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 42. What is the highest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958141 to the power of 1\/2, to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2.402, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1))**(-13))**(-11) assuming q is positive.\nAnswer: q**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 271*j - 15609. Calculate s(188).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 181 = -52*d + 3*o - 216, 2*o + 42 = -4*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -27. Suppose m = 3*i - 0*m, 3*i + 2*m = 0. Suppose 7*z + j - 10 = i. Is z less than 1\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -f + 16, 2*f - 4 = 2*x - f. Let z be 6\/(((-18)\/x)\/(-3)). Let o(b) = 2*b**2 - 4*b + 6. What is the remainder when o(z) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.3 times -0.1959\nAnswer: 5.93577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -23*l**3 + l**2 + 3*l + 2. Suppose -5*a + 4*u = 22, -a + 4*u - 4 = -5*a. What is the units digit of x(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 7:21 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -12. Let o = -0.9 + b. Let g = 2 - 2.2. Put o, g, -0.1 in descending order.\nAnswer: o, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**2. Let j(a) = -a**3 + a - 1. Let z(h) = j(h) - o(h). Suppose b = 4*c + 7, -4*b - 23*c + 28 = -26*c. What is z(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -11. Suppose u*a - 2*a - 9 = 0. Suppose -2 = 2*z - a*z. Solve 0 = -z*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 1. Let w(b) = b**2 - 8*b - 5. Let c be w(8). Let y = 1 + c. What is the remainder when 4 is divided by m(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5111 = 3*j - t, 122*t - 121*t + 3409 = 2*j. What is the remainder when j is divided by 835?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 + 29 + -96 - (-386)\/(-56)\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/9 - -46\/45. Let c be (-1 - -2) + 2*-2. Let w = -31 - -123\/4. What is the closest to -1 in w, c, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*m + 32*m - 100*m + 28*m - 1584*m**3)*(-m - 1 + 1) as p*m**2 + j*m**4 + v*m**3 + a*m + g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmmmmmzzmmmmmmm. What is prob of sequence mzmm?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 2*b + 2, 3*b + 2714 = z + 2711 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*(-2 + sqrt(153)) + sqrt(153) + 2 + (sqrt(153) - (sqrt(153) + 2)) - (-3*(-2 + sqrt(153) + sqrt(153)) + 2 + -1*sqrt(153))) + -3)**2.\nAnswer: -864*sqrt(17) + 12649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b - 4. Let g = -69 - -73. Let d(o) = 3 - 3*o - 2 - 10 - g*o. What is 6*d(r) - 13*x(r)?\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o + 12. Let n be p(5). Let m be 42\/7 + 1*n. Solve 4 = m*x - 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7532.311 centuries?\nAnswer: 75323.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*2 + 2 + sqrt(5)*1 + 5.\nAnswer: 7 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 5*q**3 + 101537*q + 5 - 101518*q to the form b*q + h*q**2 + w + k*q**3 and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 200503 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*k - w - 2*w, k - 3*w = 6. Suppose -k*l = -5*l - 17. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1220404 (base 7) to base 3\nAnswer: -21221100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*o - 2962, -w - o = -2*w + 738. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140 + 6*i**2 - 55*i + 2*i**2 + 72 + 66 to the form f*i + o*i**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 11:49 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1976\/(-8151)*(-1254)\/988\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.457476 rounded to two dps?\nAnswer: 8.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2. Let z(i) = -17*i**2 + 9*i**2 + 8*i**2 + 4*i**2. Determine m(z(w)).\nAnswer: -80*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from gnzngiziniiibiggn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -1 in increasing order.\nAnswer: -10, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -124848, -499380, -1123576, -1997418, -3120888, -4493968?\n\"Answer: 3*k**3 - 124850*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-39) - 4\/(-26). Let d = r - -5. Suppose 4*p = 3*n + 4, -n = -d*p + 17 - 1. Calculate the greatest common divisor of 10 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8981 is divided by 2982.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 22 = 5*t, -5*t + 24*i - 22*i + 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 7*n**2 + n + 11. Let w be h(-7). Let s be 6\/2 + -61 + w. Let c be s\/(-45)*(-10)\/(-3). Solve -c*b - 13 = l, 4*b + 2*l = b - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (sqrt(475) - sqrt(19) - sqrt(19) - sqrt(19)) + 5*sqrt(95)\/sqrt(5) + 0))**2.\nAnswer: -896*sqrt(19) + 15152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, o: 2}. Give prob of sequence okkk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171100 is divided by 1501?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8050)\/(-4) - (-3)\/6. Suppose -4*u - 4768 = -0*u. Let a = u + x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**4*q))\/q*q**(-1\/6))**(1\/61)*(q**(-3\/11)*q**(-3\/2))\/(q*q**4*q**0) assuming q is positive.\nAnswer: q**(-13573\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9669, -0.28, 1, 4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118691?\nAnswer: 118691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 108 = -4*i. Calculate the remainder when (i + 0)*(-5 + 6) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99399?\nAnswer: 3, 17, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619114.\nAnswer: 2, 23, 43, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 936532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200001 - -12?\nAnswer: -2122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1480, 1781, 2274, 2953, 3812, 4845?\n\"Answer: -x**3 + 102*x**2 + 2*x + 1377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = -y, 3*y + 1 = -5*i - 3. Suppose y*k - 3*k = 0. Find the second derivative of -5*l + l**5 + 4*l + k*l wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 2 + (-7 - (-6 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -52. Solve -3*a = -u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166.62 - -169. Let t = r - -0.22. Let y = -2.55 + t. What is y rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -4, 1, 8, 17, 28, 41?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 - 259098\nAnswer: -259098.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 12:22 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/7, 2, 0.0571 in descending order.\nAnswer: 2, 0.0571, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2\/(u*u*u\/((u*u*u**(-14)*u)\/u)*u))\/(u*u*u*u*(u*(u\/((u*u*u**(-3))\/u))\/u)\/u*u)**(2\/3))**(3\/4) assuming u is positive.\nAnswer: u**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43388*v**3 + 89*v**2 + 7504570*v wrt v.\nAnswer: 260328*v + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2149*p + 98753 + 73167 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -215324111 (base 6) in base 3?\nAnswer: -21100002210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g - 20. Let l(j) be the second derivative of -5*j**3\/6 + 5*j**2\/2 - 13*j. Let h(a) = -6*a + 6. Determine g*h(f) + 5*l(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*sqrt(88)\/sqrt(4)*3)\/(((1*sqrt(64) + sqrt(64))\/sqrt(4))\/(2*sqrt(200))) + -4.\nAnswer: -4 + 75*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 divided by 2?\nAnswer: 477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyce. Give prob of sequence cy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 21*x**2 - 7*x + 3. Let k(i) = 32*i**2 - 10*i + 4. Let d(s) = 5*k(s) - 8*n(s). Let t(j) = j**2 - j + 1. Calculate d(f) + 6*t(f).\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086636 to four decimal places.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5154 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: Collect the terms in -548*y - 763*y - y**2 + 1311*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371849?\nAnswer: 19, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/126 + 344*b**3\/63 - 29584*b**2\/21 + 29*b. What is z in y(z) = 0?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 713 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d = 59 - 434 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let g(y) = 5305*y. What is p(g(j))?\nAnswer: -5305*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**3 + 27*c**3 - 6*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*q - 25 + 1, -2 = q. Suppose -4*g - 8 = 5*z, z - 7 - u = -5*g. Let w = 10 + -5. Sort g, -5, w.\nAnswer: -5, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r\/(r*r*r\/r**(-2\/17)))\/r*r*r)\/r))\/r**(8\/9) assuming r is positive.\nAnswer: r**(341\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.19297 millennia to decades.\nAnswer: 8619.297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.1 (b) 6 (c) 8 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -3) + -11 + -2 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:39 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -86*y - 169. Let g be q(-4). Let z be (150\/g)\/(12\/21). Determine i so that 1\/2*i**3 - 3\/2 - 1\/2*i + z*i**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - ((-2)\/(-2) + 0). Let h(x) = x + 41. Let k be h(m). Let q = -19 + k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:48 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2 + 1584*n - 627. Give x(158).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13876 - 6046. List the prime factors of u.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - -34. Suppose 135 = 4*d + p. What is d rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632255 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 2:31 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34716, 69401, 104086, 138771, 173456, 208141?\nAnswer: 242826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035955, 2071907, 3107855, 4143799, 5179739, 6215675, 7251607?\nAnswer: 8287535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/90)\/((-2)\/30). Suppose -4*a = 4*o - 1896, -o + a + 471 = g*a. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.053717 to 1 dp.\nAnswer: 261.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 598 + 102 = -4*t, -h + 620 = 5*t. Suppose 3*k + 171 = 4*d - 0*k, -t = -3*d - 2*k. Is 42 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 0 + 4*l + 3*l**2 + 1\/2*l**3 + 1\/12*l**4. What are the prime factors of n(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*68456859.\nAnswer: -273827436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 98 = 5*b. Let u = -20 + b. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (791 - 781) + (8 - -5) + -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1)))**(5\/3)\/((q\/(q*q\/q**(-22)))\/(q\/q**(-10\/3))) assuming q is positive.\nAnswer: q**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1311 and 174823161.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265 by 53.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 - 12669423*t\/2 + 44342907.\nAnswer: 3*(t - 4223134)*(t - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Suppose h + u - 100 = -0*h, 2*h + 3*u - 201 = 0. Let i(v) = -h*v + 49*v + 52*v. What is i(l(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Suppose 2*w = -h*c, -c - 3*c = -2*w. Let p be -2 + 1 - (w - 4). Solve 9 = 4*u - p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.3 (b) 0.012 (c) 9342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 7. What is d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 360 = 10*r. Let u(y) = -3*y**2 + y - 4. Let s be u(3). What is the common denominator of (2\/s)\/((-8)\/r) and -83\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697449873 plus 6.13?\nAnswer: 697449879.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -675 in decreasing order.\nAnswer: 1, -7, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 11*m - 24. Let x be q(4). Solve p - 3 = 2*v, 4*p - 23 = v - x*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-9)*s**(-2\/5))**(3\/10)\/(s**(-6\/7)*s**2*(s**(-1\/2))**41) assuming s is positive.\nAnswer: s**(5893\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 20389712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, -4, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8899 + -1521725\/171. Which is the second biggest value? (a) -5 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 785*p**3 + 63*p**2 + 775*p**3 + 774*p**3 - 4116 - 2331*p**3.\nAnswer: 3*(p - 7)*(p + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(3 + (-8)\/2). Sort 2, o, -2 in descending order.\nAnswer: o, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -2\/9 (c) -0.322\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4082 - 45*m**3 - 12231 - 8*m**2 + 2*m**4 + 4075 + 6*m**3 + 4072 as d*m**4 + p*m**3 + v + h*m + q*m**2 and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -2658, 6972 in increasing order.\nAnswer: -2658, -39, 6972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 96 = -4*a, -3*q - 10 - 2 = 0. Let x(i) = 2*i + 8. Is 14 a factor of x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 14, -5, 1 in decreasing order.\nAnswer: 14, 1, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1028 divide 109094444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y*y**10*y)\/y*y*y\/(y**(-11)*y))**22*((y\/y**(-15)*y)\/y*y\/(y*y**(-2\/45))*y)**19 assuming y is positive.\nAnswer: y**(40313\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*z - 3 = 0, -5*h - 26 = 4*z - 22 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 + 460. Suppose 87 + t = -8*h. Which is smaller: h or -33?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -9. Let n be 1\/(-3) + 14\/6. Let s be (12\/14)\/(4\/n). Sort 5, s, x.\nAnswer: x, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + d**2 - 4*d + 5. Let x be (-4)\/20 - 19\/5. Let q(n) = -n**3 - n**2 + 3*n - 4. Let m(r) = x*q(r) - 3*v(r). Suppose -60*h = 3*h. Calculate m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*c + 2, -5*x + 27 = 3*c - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**0)))**(-1\/4)*g\/(g*g**(-4\/3))*g*g*g**5)**(1\/5) assuming g is positive.\nAnswer: g**(97\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30840 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, v: 1, g: 4}. Give prob of sequence ugvu.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 290057083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -460 - -617. Solve 2*u - h = -163 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 988, 1, 73 in decreasing order.\nAnswer: 988, 73, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i = -11*i - 17*i. Solve t = -5*j, 3*t + i*j - 14 = -j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x - 10. Let f be i(-5). Let g = f + 120. Let r = -32 + g. Calculate the highest common divisor of 12 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 - 26 + 2368*p - 24 - 2369*p as a*p + g*p**2 + v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 8 = v. Let h(b) = -b**2 + 6*b - 5. Let r be h(5). Suppose r = 4*m - 5 - 15. What is the remainder when m is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q - 6*q + 4*q)*(-3 - 1 - 10 + 1 - 5 + 3 + (-1 + 5 - 5)*(0 + 0 - 1) + 2 + 1 - 5) in the form o + y*q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-42)*(-4)\/(-6). Which is the closest to -9? (a) g (b) 1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093279 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63713197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 7) + -3 - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53483 and 699341.\nAnswer: 55247939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 2595?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 49 - (3\/(-7) + 8 + 126\/(-49)). Solve -42 = -2*f + s*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -121, 1\/4, -5, -3 in ascending order.\nAnswer: -121, -5, -3, 1\/4, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749.445 times 30.7?\nAnswer: 53707.9615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206320784 to the nearest integer?\nAnswer: 14364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.1 - 8. Let s = t + -0.3. Sort 0.1, 3\/4, s in ascending order.\nAnswer: s, 0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398168509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/3)*l**(-16)*l*l**(-7)*l\/l**(-14) assuming l is positive.\nAnswer: l**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(4 - 3) - 1. Is g*7\/(-84)*(-12604 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -1\/3*i**3 + 0*i - 18 + 0*i**2. Let h(t) = t**2 - 19*t. Determine l(h(k)).\nAnswer: -k**4 + 38*k**3 - 361*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u = -18158 + 15458 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1755666254738 + -5.\nAnswer: 1755666254733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/(p\/p**(-21)))\/p)**(9\/8)*p**21\/p**(-3) assuming p is positive.\nAnswer: p**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*(sqrt(3564) + 0 + sqrt(3564)) + -4)**2 + 1*sqrt(176)\/sqrt(36)*-4 + 5.\nAnswer: -20744*sqrt(11)\/3 + 8211477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 127*a + 46. Let n(p) = 191*p + 69. Let k(v) = 5*n(v) - 8*r(v). What is the tens digit of k(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s + 67*b = 66*b - 173, -53 = s - 4*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a - 100 = 45*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000352817857 rounded to six decimal places?\nAnswer: 0.000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 + 53*o - 30. Let r(s) = 4*s**3 + 9*s**2 + 10*s - 6. Let w be r(-2). List the prime factors of t(w).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 1351*p - 162116. What is o(-156)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130.8 - 107.94?\nAnswer: -1238.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 6*l**2 + 26*l + 133. What is d(-8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1829*i*r**4 + i + 3396 wrt r?\nAnswer: -7316*i*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/25390 and 65\/15234?\nAnswer: 76170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.7 - -10. Let t = 5 - 4.98. Let s = 0.98 + t. Put 2, u, s in decreasing order.\nAnswer: 2, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + x + 3*x)*(3*x**2 - x**2 - 3*x**2) - 2*x**3 - x**3 + 2*x**3 - 3*x**3 + 0*x**3 - 7*x**3 + 15*x**3 - 7*x**3 - 11*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12039 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*x**3 - 12228*x**2 - 72*x + 23657845.\nAnswer: -12*x**2 - 24456*x - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Suppose 2*n - 3*s + 6 = 0, -n + 3*s - 15 = -p*n. Let g = 0 + 4. Put n, g, -4 in descending order.\nAnswer: g, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 13 = -0*r - 2*m + 3*m, 0 = -m + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -56543 smaller than -56549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -9, 18\/11, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y - 60 = 0. Suppose 12 = -n + y. Suppose h + u - 2 = -u, -3*h + n = 2*u. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18226 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f + 5. Let w(u) = 18*u - 11. Give -7*b(l) - 3*w(l).\nAnswer: 9*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 291 from -1.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.88 - -0.19. Let t = 4.125 - l. What is t rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1. Let x(t) = 2*t + 4. Calculate -5*i(f) - x(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-385)\/(-110))\/((-56)\/8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6045 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: Evaluate 8\/10*(-11 + (-5137)\/(-462)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41370222.\nAnswer: 2, 3, 67, 102911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14478.26 + -14478. Let c be (-4)\/(-6) + (-22)\/24. Are c and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 811 (base 9) to base 5\nAnswer: 10113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n + 210 = 0. Let l be (28\/n)\/((-4)\/42). Let a be (-6)\/21 + 100\/l. Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -7. Which is the closest to 0? (a) 0.3 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 23. Let b be y(14). Let p(h) = h**3 - 10*h**2 + 8*h + 3. Let g be p(b). Calculate the smallest common multiple of 2 and (-213)\/(-18) + (-1)\/g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1434 and -2992.99.\nAnswer: -4426.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/36 + 2\/(-9). Suppose 6*n - n - 10 = l. Suppose m + 731 - 735 = 0. Solve -4*y = 3*o + m, 28 = -3*y + n*o + 2*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 4. Let p be g(13). Is p smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(-1033*p + 3*p**3 + 525*p + 520*p) as o*p**2 + t + a*p + u*p**3 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*n - n**3 + 52*n - 85*n)*(5 - 4 + 2).\nAnswer: -3*n**3 + 90*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -237.0294 - -0.0294. Let i = 233 + t. What is the smallest value in -2\/13, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 t when three letters picked without replacement from {t: 8, v: 5, n: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 551578 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26\/156 - 38\/(-60)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393979857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 3*c + 2*c + 33 - 3*c + 37.\nAnswer: 2*c + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5, k = 5*v + 24 - 7. Let g(i) = -6*i - 10. Let y(t) = 7*t + 11. Let p(w) = 6*g(w) + 5*y(w). Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10*h = 40. Suppose 0 = -h*b + 145 - 130. Solve 4*x = 4*m + 4, -2*x = m + b*x - 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 197318*v**2\/3 - 394654*v\/3 - 197330\/3.\nAnswer: 2*(v + 1)**2*(3*v - 98665)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(1 + 4 + 1)*(-b**2 + b**2 + 2*b**2)*(3*b + 17 - 17).\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/12)\/((-26)\/(-12)). Which is the smallest value? (a) 5 (b) w (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(0 - 2 + 0)*(-3*s + 7*s - 2*s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**3 - 5*z**2 - 81. Let i(g) = -5*g**3 + 8*g**2 + 121. Let d(s) = -5*i(s) - 8*p(s). What is the units digit of d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 5 (b) 50 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (6 - 0\/(-2)). Let x = q - 13. Let a be 5 + (2 + -3 - x). Which is smaller: 9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -17 - (-395 - -365) - (1 - -36)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*d + 23, 0*m = 5*m - 5. What are the prime factors of (-372)\/(-27) + (-2)\/d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5\/10 + 18692*s**4\/5 - 1270217*s**3\/10 + 5920183*s**2\/5 - 7768416*s\/5 - 2868480 = 0?\nAnswer: -1, 3, 16, 37350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17512\/4041 - 1\/4041. What is the smallest value in -0.4, t, 0.13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*(-3)\/9. Let i(b) be the second derivative of b**4\/12 + 7*b**3\/6 - 15*b. Let u be i(-7). Are u and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40613 divided by 17.\nAnswer: 2389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 105.5 and -43.\nAnswer: -4536.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-33)*(5\/60)\/(7*1\/28).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-189)\/378)\/(2\/20)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*v**3 - 59*v**3 - 60*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108433 and 13?\nAnswer: 108433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 25*x**2 - 23*x - 7. Give y(-24).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 65, -4, -1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*r + 5*m, 5*r - 19 = -6*m + 5*m. Let t(l) be the second derivative of -l + 0 - 1\/3*l**r + 0*l**2. Let i(b) = 11*b**2. Calculate i(t(x)).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/(-4 - 190\/(-45)). Let s be (5\/1 - 1) + o. Suppose -s*d + 3614077 = -4505923. Round d to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b - 398 = -586. Suppose i = -0*i + 18. Calculate the greatest common divisor of i and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4829 + -2849. Round r to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -61, -60, -59, -58, -57?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.2. Let i = 2446\/133 + -128\/7. Which is the closest to 0.1? (a) y (b) i (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/((-4864)\/(-57))*2\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/((sqrt(70)*2 + sqrt(70) - sqrt(70))\/sqrt(10)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68957, -137821, -206685, -275549, -344413, -413277?\nAnswer: -482141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12*1\/(-6))\/10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10511241281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/7, -0.4, -4, -2\/43, 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544773*j**3 + 3*j**2 - 3*j**2 - 544772*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5732502203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 528629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/(-36)*3\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2\/3 (b) 5 (c) 101 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/5, -2\/9, 12, -3\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.319 - 0.109. Let f = -2.79 - j. What is the closest to -0.1 in f, 0.3, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -988726, -1977451, -2966176?\nAnswer: -3954901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 - 13) + 5\/1. Find the second derivative of -2*a**4 - 7*a - 9*a**y - 6*a wrt a.\nAnswer: -132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000843999 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 33, 3 in ascending order.\nAnswer: -5, 3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.1 - -26.4. Let b = x - 13.237. Let i = 0.063 - b. Sort 0.05, i, 1\/3.\nAnswer: i, 0.05, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10\/13929 - -24071\/52930200. Is b < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3450a7 (base 12) in base 5?\nAnswer: -203310312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*p = -26, 3*a = -3*p - 2*p - 14. Suppose -3*d - a*d = -55. Solve 4*h + 9 = -d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Let y(b) = -3*b + u*b + 3*b. Let l(t) be the first derivative of -t**2 - 2. Calculate y(l(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2526 or -5051\/2?\nAnswer: -5051\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/8*12\/66?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2960 + 3386. What is the remainder when u is divided by 65?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*d - 15 = 17, 0 = -5*p + d - 80. What is the common denominator of ((-14)\/35)\/(10\/p) and 85\/2?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 264\/50165?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -108941 and 0.014087.\nAnswer: -108940.985913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 180 = -6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-312)\/108 - ((-8)\/18)\/(-4). Let i(j) = -10*j + 3. Let n(r) = 49*r - 14. Determine m*n(v) - 14*i(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 22505 = -195801. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**4\/24 + y**3\/3 + 9*y**2. Let f(w) = 2*w - 3. Let l = 6 + -10. Let q be (1*-6 + 0)\/(10 + -8). Determine l*h(k) + q*f(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - ((5 - 3) + -3). Let t = -6.74 - -0.04. Let q = -7 - t. What is the smallest value in 0.5, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 60582 = -l - 2810. What is the highest common factor of l and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4390065ug?\nAnswer: 0.0000004390065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1799 and 4039.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 2, e: 3, h: 13}. Give prob of picking 2 e.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4495.\nAnswer: 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h - 20. Calculate the lowest common multiple of 96 and r(5).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a + 803 = -53*a - 55*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + 2*p**2 + p**2 - p + p + (0*p - p + 2*p)*(-p - 4*p + 6*p) + 0*p**2 + 3*p**2 - 4*p**2 + 0*p + 2*p**2 + 0*p)*(0*p**3 + 8*p**3 + 2*p**3).\nAnswer: 50*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 10*t**2 + 16*t - 5. Let f be h(-7). What is the greatest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7430121, -7430116, -7430109, -7430100?\nAnswer: -7430089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/(-10*(-5)\/100). Suppose v = 2*x + l, -l + 17 = 5*x + 8. Find r such that 10\/11*r - 10\/11*r**3 + 4\/11*r**x - 4\/11 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -6, -4, 3, 2, -5 in ascending order.\nAnswer: -8, -6, -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 1 + -40 + 72 + 17\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**4 - 123*a**3 + 12434*a**2?\nAnswer: -120*a - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 8) in base 13?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -20*z + 13 + 94. Which is smaller: z or 735\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1873\/2 + 3485\/4. Let h = t - -3067\/44. What is the common denominator of ((-9)\/(-7) + -1)*217\/(-14) and h?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29)\/(((-3)\/(-4))\/3). Let s = 180 + o. Suppose 0 = 2*m + 2*m - s. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 483?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 * -1.12\nAnswer: -0.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0376 or 2\/3?\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (116*(-54)\/(-2610))\/(4\/95)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from ytytttyyyyyyi.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.161978 times -3.02\nAnswer: -3.50917356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1789, 1810, 1831, 1852, 1873?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0 + 5. Let n be 2\/6 + 1\/(-3) + (-464)\/464. What is the closest to n in 1, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 5 + 5 + (-2 + b + 2)*(0 - 1 + 0) + 2*b + 1 - 1 + 4*b - b - 2*b + 0*b - 2*b + b + 5 - 6*b - 5)*(-8 + 8 - 7*b**4).\nAnswer: 49*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. Suppose -5*p + 2*q + 2 = h, 5*q + 0 = 4*p - 5. Solve 0 = -p*w - 4*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 30?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 869 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -22, 3, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l - 2*w + 10, 4*l + 4*w = 12. Let k(f) = -f + 1. Let d(c) = -9*c + 6. Let o(i) = -d(i) + 3*k(i). What is the units digit of o(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 1 + 2 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 7*j**2 - 8)*(-80*j + 44 - 44 + (3 - 2 - 3)*(0*j - j + 0*j) - j + 0*j - j).\nAnswer: 560*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/3 + 2\/6. Let j = 6 + s. Is j at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*j**2 - 26*j**2 - 41*j**2)*(j**2 + 4*j - 4*j).\nAnswer: -142*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5914 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 597*m - 299.\nAnswer: (m - 299)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26.089 and -4.\nAnswer: -30.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**4\/4 - j**3\/2 - 1763*j**2. Let d(q) = q + 1. What is d(v) + f(v)?\nAnswer: -5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 21*l + 22. Let v be g(-1). Which is the third biggest value? (a) 7\/2 (b) 38 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 40. Let j be v(0). Suppose 0*u + j = 5*u. Let d(x) = x**2 + 4*x + 8. Let o be d(-8). Calculate the greatest common factor of o and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:25 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 51*o + 417. What is m(12)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/653 - 8665\/28732. Let u = p + 1619\/44. Calculate the common denominator of u and 59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32360\/20225 + ((10\/15)\/(10\/(-72)) - -2)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276854 is divided by 1331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**3 + 3*h**2 - 3*h + 24733. Is n(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 1. Give w(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 29*i**7\/42 - 9*i**4\/4 - 2*i. Find the third derivative of w(b) wrt b.\nAnswer: 1740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 33 = -7*p. Solve -2*b - 7 + p = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 10. What is the remainder when 11 is divided by (-3)\/(a*12\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -6656*t**5\/5 - 554*t**3\/3 - t**2\/2 - 11233. Find the third derivative of k(g) wrt g.\nAnswer: -159744*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000825 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.469 and 0.5?\nAnswer: 0.7345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/232, 0.7, -0.2, 4, 2\/15 in increasing order.\nAnswer: -0.2, -1\/232, 2\/15, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 12211fc?\nAnswer: -12211f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1836385.\nAnswer: 5, 367277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43.51754 and -1.35?\nAnswer: 44.86754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 5*u - u. Let o(t) = -3*t - 1. Let k be o(-11). Suppose p + k = 3*c - 4*p, 2*c + 4*p - 36 = 0. Calculate the remainder when u is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000983186 to five dps.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 2*r**2 - r - 7. Let f be d(1). Let c(m) = -f*m**2 - 38*m + 38*m. Let q(g) = g. Give q(c(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, 2.5, -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*m = -3 + 6, m + 11 = 3*p. Suppose -15 = 5*x - p. List the prime factors of (x + -1)*25\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -447*q - 122. Let l(d) = -d**2. Determine b(l(f)).\nAnswer: 447*f**2 - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 851026 and 64438?\nAnswer: 24679754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 9:16 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6*-1.27\nAnswer: 7.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 1\/12*r**4 + 4 + 26*r + r**3 - 1\/30*r**6 + 0*r**2 - 3\/10*r**5. Factor d(c).\nAnswer: -c*(c - 1)*(c + 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.2 in 2, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -99\/5801?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*z + 4 = -0*z, -2*k - 4*z + 4 = 0. Suppose 0 = k*i - 42 + 48. Let s be 16\/172*1\/(-2). Is i > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2238, 4433, 6628?\nAnswer: 8823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170340?\nAnswer: 2, 3, 5, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 142016 + -1?\nAnswer: 142015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14 - 84)\/14 + 235 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3297, -4\/7, -0.033, 2 in ascending order.\nAnswer: -3297, -4\/7, -0.033, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 60*y - 208.\nAnswer: -2*(y + 4)*(y + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/9*(-13)\/((-26)\/18) + 7. Solve -y = 4*z + z + o, -z - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -121666*g - 4. Let n be z(6). Round n to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87746.09 millilitres to litres.\nAnswer: 87.74609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 676, -71, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let z be (0\/4)\/(2 - 5)*-1. Suppose -i - 4*f + 2 = 0, -i + f - 4 + 6 = 0. Let t(k) = -k + i*k + z + 0. Determine t(r(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 2*x + 2*x)*(4 + 2 - 4)*(-7*x + 17 - 17)*(2 - 2 + 2) to the form c*x**2 + w*x + l and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:18 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14\/5*k**2 + 2\/5*k**3 - 88\/5*k + 0 = 0 for k.\nAnswer: -4, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020673 to five decimal places.\nAnswer: -0.00207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10832528786434 - 0.3\nAnswer: -10832528786434.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 11:06 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:29 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 7, a: 1, g: 3, v: 3}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2215 (base 12) in base 7?\nAnswer: 13652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334854?\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 + 16 + 5*t**2 + 41 in the form o + i*t**2 + b*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from bbnfnzbffkbfbnfbfbb.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6f509 (base 16) to base 12.\nAnswer: 19ba35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2. Let v(f) = -131*f**2 - 1. Calculate v(t(q)).\nAnswer: -524*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.8773 + 3.8773. Let i be -1 + ((-12)\/(-16) - 0). What is the nearest to i in u, -4, -6\/7, 0.4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 15\/(-3))*(-49)\/14. Let t(m) = -m**3 + 3*m**2 + m + 4. Let w be t(3). Calculate the highest common divisor of x and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2168*c**2 - 98*c**3 + 4324*c**2 - 2156*c**2.\nAnswer: -98*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 133*x - 144*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11\/3)\/(1452\/72)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = 12*b. Let t(f) = f**3 + f - 3. Let x be t(0). Let p be x + (0 - 3 - b). Let o(z) = -z**3 - 5*z**2 - 5*z. Determine o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:09 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(4 + (-52)\/12). Is 6 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j. Suppose j = -i - 0*i + 28. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.48 - 0.02. Let t = i - -1.4. Let c = -4.0999919 - t. What is c rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146 - 724\/5. What is the third biggest value in -4, x, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + (6*(sqrt(228)*1 - sqrt(228)) - sqrt(228)) + sqrt(228)))\/(sqrt(12) + (1*sqrt(120))\/sqrt(10))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 plus 56.4?\nAnswer: 57.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -16, -39, -82, -151, -252, -391?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 500 = 97*i - 36. What is the fifth smallest value in -1\/61, -9, i, -1, -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 8:32 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_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: Suppose -5*b = -n, -n - 5*b = n + 30. Let h be (18\/10)\/((-3)\/n). Suppose h*o = 3*o + 12. Solve 0 = -a - o*r + 8, 0*a - 5*r = a - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1460147 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**3 - 5*x**2 + 5 + 9*x**2 - 2*x**3 - 5*x**2 as j*x + p*x**2 + v + l*x**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*g - 2*g. Suppose -4*q - g = -8*q. Suppose -3*m = -3*r + q*r - 170, 0 = 4*r - 4. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 37*r**2 - 1. Let s be h(1). Suppose 2*g - 4*g = 0. Suppose g*d = 5*d - 270. What is the greatest common factor of s and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -530 divided by -9293.\nAnswer: 530\/9293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/6 - 3*j**3\/2 - 6*j**2. Differentiate p(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0, -2 in increasing order.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -15. Suppose n*d = -2776 - 3464. Calculate the common denominator of -5\/18 and (-5993)\/d - 1\/((-10)\/4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-26756)\/(-14) + (-70)\/490.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j = -37*j - 819. What is the greatest common factor of j and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -15, -c = 2*y - 3*y. Solve -4*h = -3*r + 7, -r + 2*h = h - c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 9:07 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.1369438112 and -0.648.\nAnswer: 5.4889438112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*h - 122*h + 10032. Calculate the least common multiple of 16 and h.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-8))\/((-6)\/48). Let s be (-108)\/10*u\/(-3). Suppose s = h - 3*w, -3*h - 2*w + 115 = -4. What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 8*a = -16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-15)\/(-25) + (-342)\/5*-1 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-63)*4\/(-2). Let r = -470\/9 - -52. Is y bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1304.\nAnswer: -5216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-100)*18\/18?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18 - -15 - (-10)\/3. Let n = 0.5 + 0. Let t = 0.4 - n. Sort 3, t, a in descending order.\nAnswer: 3, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + -1.95. Let p = 84 + -165\/2. Put p, n, 4 in decreasing order.\nAnswer: 4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5047 is divided by 984.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 55. Which is the closest to -0.1? (a) 2\/7 (b) r (c) -1\/2 (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*y**5 + 2372*y**3 - 562*y**2 - 466*y wrt y?\nAnswer: 3180*y**2 + 14232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let x be 7300\/p*(-10)\/1. What is x rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 9*i**2 - 6*i + 15. Let t be g(9). Round t to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmml when four letters picked without replacement from mlrrlbmbbblrlrlrbmmb?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*c + 0 + 19 = 0, -9 = 3*l - 3*c. Sort -5, l, -2 in descending order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496 and 1043212.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 700 = -422 - 397 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 5*m**2 - 10*m + 6. Determine l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 4569.\nAnswer: 13707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-1 + 1)*-3)**2 - ((-4*(sqrt(108) - (1 + sqrt(108))))**2 - 3*(-1 + sqrt(108))).\nAnswer: -90*sqrt(3) + 962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 1896?\nAnswer: 73944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*-1*4 + (sqrt(242)*1 + sqrt(242) - sqrt(800))**2)*3.\nAnswer: -12*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -37. Let b(w) = -w**2 + 18*w - 15. Let f be b(18). Suppose -2*y = -3*y. Sort f, r, y in ascending order.\nAnswer: f, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4 = 211*d - 210*d, 0 = 2*i + 8*d - 32 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.865219 less than 55.33?\nAnswer: 54.464781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60823?\nAnswer: 7, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2072*j + 14. Let o(l) = -2*l**2. What is u(o(t))?\nAnswer: 4144*t**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 11*v**2 - 24*v + 11. Calculate the remainder when p(-8) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l**2 + l + 1. Let x(a) = 37*a**3 - 2*a**2 - 4*a - 4. What is 4*h(j) + x(j)?\nAnswer: 33*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -76.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 42 - 43 + 121 + j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -15. Let j be 37*(-2)\/8*2. Let o = j - g. Sort 0, -4, o in descending order.\nAnswer: 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + 9 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 6*o - 4110. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-12 - -6))*(-2)\/(-4). Suppose 3*u - 2*u - 5 = 0, 4*o + i*u = 255. Calculate the remainder when o is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a764 (base 12) in base 8?\nAnswer: -1515674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/15)\/((-9)\/30). Suppose l*g - r = 17, 21 = 2*g - 2*r - r. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 51*w**2 - 19*w + 125. What is the tens digit of m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 12. Let q(n) = -n + 11. Let m(s) = -5*q(s) - 6*z(s). Let d be m(-5). Let f(j) = -46*j + 41*j - d*j. Let g(u) = -u**2. Calculate f(g(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 8*r - 4. Let v = 1.2 - 1. What is the second biggest value in r, v, 0.4, 18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -78253*v**3 + 4*v**2 - 4*v - 1. Let p be m(3). Let u = 7212808 + p. What is u rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(3\/32)*s)\/s)\/(s*s\/((s**(-6\/13)*s)\/s)*s*s*s))**(-6\/13))**(-2\/33) assuming s is positive.\nAnswer: s**(-1895\/14872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12.791262+459864\nAnswer: 459876.791262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-24))\/(5\/(-80)). Suppose -3*k = -30 + j. Solve -4*f + 4*a - 16 = 0, k*f + 5*a = f + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*6\/15)\/(826\/295)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500*i + 18064 - 93391 - 8673 = 0. Solve -41*h = -119 - i for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -7*x**2\/2 + 1. Let d(v) be the first derivative of 2\/3*v**3 - 6 + 0*v**2 + 0*v. What is s(d(u))?\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*r - 12. Let t(n) be the second derivative of n**3 - 79*n**2 + 33*n. Calculate the least common multiple of t(29) and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {q: 1, g: 1, h: 5, d: 3, r: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 259, 280, 303, 328, 355, 384?\n\"Answer: h**2 + 18*h + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 24674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) + 3*(sqrt(4)*1 - sqrt(4))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from xllxxlxllllxxxll?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3428008 is divided by 1579?\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4447 is divided by 178.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 s when four letters picked without replacement from dsddddsddsddss?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -655*x**4 - 171*x**3 + 87*x**2 + 24874471*x + 1.\nAnswer: -7860*x**2 - 1026*x + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, a: 1, h: 14, g: 2, b: 1}. What is prob of sequence gbah?\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t*v**4 + 35388*t*v**2 + 9*t - 8206 wrt v?\nAnswer: -8*t*v**3 + 70776*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -4840?\nAnswer: 9680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -192. Let z be d\/6*-2*3\/(-10). Calculate the greatest common factor of 63 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74951, 74953, 74955?\nAnswer: 74957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2965174784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 5 - ((8 - 13) + (1 - -9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/29226498 and -137\/8350428.\nAnswer: 58452996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -1\/2*m**4 + 0*m**2 + 0*m + 0*m**3 - 1. Factor k(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 196485 divided by -15?\nAnswer: -13099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -150 + 3?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/1*(10530\/315)\/(-39)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 20718*w - 10358*w - 9*w**2 + 7*w**2 - 10360*w - 51.\nAnswer: -2*w**2 - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -k + 16, -9*k = -6*k - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585369 is divided by 1967.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1010 - 1013. What is the biggest value in o, 1\/428, -2\/3?\nAnswer: 1\/428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:10 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11321, -91388, -308705, -731894, -1429577?\n\"Answer: -11437*u**3 - 3*u**2 + u + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2299) - 4*sqrt(2299)) - (sqrt(2299) + 2*(sqrt(2299) - sqrt(2299)*2)) - ((sqrt(2299) + 0)*-3 - (1 + sqrt(2299) + -4))*3)**2.\nAnswer: -880*sqrt(19) + 229916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let j be (7 - -18) + -4*1. Suppose 11*d - 4*d = -j. What is the closest to -1\/2 in x, d, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 291*t**2 - 880*t - 1124. Calculate r(294).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(882) + sqrt(18) + sqrt(2178)*-1 + sqrt(2178))\/(sqrt(72)\/sqrt(192) + sqrt(6)*1*-2).\nAnswer: 52*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(-3) - (-5)\/15. Suppose 26 - u = 2*p - l, 5*p - 24 = -4*l. Let d(c) = -c + 14. What is d(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*f + 822592 = 3192556. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3074, -2, -1\/3, -23\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/300918 and -103\/406.\nAnswer: 61086354","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14748 = 291*x - 5436 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 8*i = 28. Let p = 908 + -107145\/118. Is p less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24883.83 litres to millilitres.\nAnswer: 24883830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 3:15 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/170? (a) 10 (b) -7 (c) 0.26 (d) -1\/7 (e) -127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*k - 54, 78 = -97*z + 102*z + k. Let b = 516 - 260. Calculate the greatest common factor of b and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138500376.00000095 - 138500365. Let u = -11 + n. Round u to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 216\/15*-1)*(-10)\/20.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z = 377 - 863. What is the highest common divisor of 2007 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -8. Suppose -1 - 7 = -2*s. Suppose -11 = -5*g + s. What is the second smallest value in m, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 + 1. Let r = 1 + k. Let m = -667.3 + 667. What is the third biggest value in 5, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 5.2261?\nAnswer: 5.0261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/69 at most as big as 208\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by -5\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -4*b**2 + 0*b + 0 + 2\/75*b**5 + 0*b**4 + 0*b**3 + 1\/525*b**7 + 1\/75*b**6. Factor i(l).\nAnswer: 2*l**2*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42 - 41)\/((-10)\/1504)*-30. Round b to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-59)\/(-3) + (-2)\/(-6). Let w = 44 - z. Let s be 1\/(1\/(-138)*-6). Is w greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*d + 135 + 2*d**3 - d**4 - 128*d**2 - 136 + 417*d**2 + 18*d to f*d + p + y*d**2 + j*d**4 + v*d**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 3 + 0 - 5.\nAnswer: -6*n - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 99 - 365 = -3*q, -3*q = -p - 256. Let d be (-9)\/(-24)*1\/q. Is 0 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1051789*f. Let d(h) = -h**2. What is d(g(k))?\nAnswer: -1106260100521*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17*p**2 + 32*p**2 - 18*p**2. Let t(o) = o. Give x(t(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1)\/3)*6\/81.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4343 is divided by 1397.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -360560 rounded to the nearest one thousand?\nAnswer: -361000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7842613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 11 = -3*p, 0 = -2*i + p + 545 - 534 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 282777 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Let s = -3.94 + 38.14. Let a = 34 - s. What is the nearest to a in -1, -4, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - y)*(-86 + 91 - 21 - 90).\nAnswer: 106*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14*u**2 - 7470*u - 11. Let z(m) = -5*m**2 - 2481*m - 4. Give 4*f(s) - 11*z(s).\nAnswer: -s**2 - 2589*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*s + 15, -13*s - 4*r - 20 = -14*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306847 is divided by 484?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**4 - 8*a**3 - 2 - 9*a**3 + 15*a**3 - 8*a**3 + 12*a**3 + 20*a**2 to the form m*a + b + q*a**3 + n*a**4 + i*a**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 3*p**2 - 5*p - 2. Suppose -2*g + 7*g + 20 = 0. Give s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-2 + 3) - -18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9133581, -18267149, -27400707, -36534249, -45667769, -54801261?\n\"Answer: l**3 - l**2 - 9133572*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.76923 rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -479*c + 506*c + 27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3819 + 40 - 1769)*(2*s**3 - 3*s**3 - s**3).\nAnswer: 11096*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -130562135 divided by -1?\nAnswer: 130562135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 48\/30*(-80)\/(-56)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/60 - z**5\/20 + z**3\/6 - 2*z**2. Let o be (2 + -4)\/2*1. Let w be o\/(-3) + (-7)\/3. Give d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5581 = -5577 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-114)\/(-16) - 3. Suppose -5 = -0*b - 4*b + 3*s, -4 = -5*b + 3*s. What is the nearest to b in 2\/19, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i\/(i\/(i*i\/(i**(5\/2)\/i)))*i)\/(i\/i**(-1\/6)))**(-10))**11)**(5\/9) assuming i is positive.\nAnswer: i**(-3850\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52833, 105665, 158497, 211329?\nAnswer: 264161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrpapvphpahhvarvpva. Give prob of picking 2 p.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188719480 to the nearest integer?\nAnswer: 13738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 140261 divided by -1\nAnswer: -140261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 405272.17 to the nearest one thousand.\nAnswer: 405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(15\/(-9)) + 29. Suppose 0 = 5*d - 3*n - 30, b - 3 = 3*d - 4*n. Suppose 208*q = 157*q + 204. Calculate the remainder when q is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1584, 3, -1\/5, -86\/5, -1\/3, -1.\nAnswer: -86\/5, -1, -1\/3, -1\/5, 3, 1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5 = 3*d + 6*n - 11, 15 = 3*n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.3 plus -200673116352.6?\nAnswer: -200673116397.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3608860 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15.9 (b) -0.4 (c) -1 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*d = -8*d - 9, 0 = -2*r - 5*d - 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 389*c + 384*c + 7, -2*l + 1 = -3*c. Solve 3*n - 15 - 6 = l*x, 4*n - 5 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35801.\nAnswer: 35801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319028 - 267231 = 19*l - 8913*l - 88195 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -144 and 0.3.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19440 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27502979 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 3. Let s be w(0). Let p(q) = q**2 - 3*q + 7. Let c(y) = y**2 - 2*y + 6. Let h(b) = 5*c(b) - 4*p(b). What are the prime factors of h(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Suppose 2*z - 104 = j. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33025235399 - -1.213?\nAnswer: -33025235397.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.725818 + 271912?\nAnswer: 271899.274182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 197 = 200 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -252 - -258. Let l(k) be the first derivative of -3\/2*k**2 - k**3 + 6*k + f. Suppose l(m) = 0. What is m?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75158231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.4. Let z = -216 + 218. Let v = 0.47 + 3.53. What is the closest to 0.3 in n, v, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -1 + 1)**2 + 0 + -4.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000462 rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9904 = -17*f + f. List the prime factors of f.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 12*t - 11. Let j be l(13). Suppose 7*n - j = 6*n. Let k(a) = -6*a + 3. What is k(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3988821 times -388?\nAnswer: 1547662548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 8 + 2*s**3 + 4*s**3)*(-3 + 2 + 2)*(-2 - 2 + 5)*(1097*s - 556*s - 555*s).\nAnswer: -28*s**4 - 112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(4\/(-10))*(-176)\/(-220).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -533 and -533 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Let o(w) = -8*w - 2. Let r(m) = 15*m + 3. Let f(u) = -7*o(u) - 4*r(u). Let d(y) = 3*y - 3 - 6*y + 4*y + 6*y. Determine -3*d(x) - 5*f(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + i - 11 = -5*j, -5*i = 2*j - 1. Suppose -u = -j*r - 14, 5*u - 4*r - 98 = -3*r. Is u less than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -32*x + 77. Let k(o) = 16*o - 39. Let v = -16 + 22. Let m(c) = v*a(c) + 13*k(c). What is the derivative of m(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3 = 5*a + 5, 4 = -k - a. Let x be 28\/(-20) + k\/(-5). List the prime factors of (-153)\/6*(x + -1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 14. Let r(x) = 3*x - 43. Let h(z) = 7*o(z) - 2*r(z). Let d be h(16). Suppose 2*y + 8 = -0*y, -184 = -5*g - d*y. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 510*z + 13005.\nAnswer: 5*(z - 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 493 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5\/3 - 2*t**4\/3 - t**3\/3 + 2*t**2\/3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25349225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v\/v**(2\/5))\/v))**(-30))**8 assuming v is positive.\nAnswer: v**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(7\/3 - 2). Is 3 a factor of (-1 - -1)*1 + o + 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -453 - 73*f - 170*f + 86*f**3 + 453 - 541*f**3 wrt f?\nAnswer: -2730*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o + 3. Let g be 5 + -2 - (4 - 5). Suppose -4 = -g*z + 2*z. Let l be v(z). Solve l*u - 7 = 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.67 times -2?\nAnswer: -23.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 756 and 72996?\nAnswer: 656964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3335 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15451 or -15458?\nAnswer: -15451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -229 divided by -4372\nAnswer: 229\/4372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (sqrt(96)\/sqrt(3)*6 + (sqrt(384)\/sqrt(192) - sqrt(32)))**2 + -2*(2*sqrt(224))\/sqrt(7)).\nAnswer: -96*sqrt(2) + 5280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 14*w**3 - 91*w**2 + 117*w - 450. Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*3\/6)\/(7\/(-322)). Let c = 26 + q. What is the lowest common multiple of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 104. Let m = 4 - h. Let w(p) = -23*p - 24. What are the prime factors of w(m)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-40))\/((-693)\/84 - -10).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (166 - 179) + (1 - 1) + 4 - 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7930873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2923*v**2 - 259*v + 259. Let r(z) = -z**2 + 83*z - 1413. Let b be r(24). Let j(l) = -34*l**2 - 3*l + 3. Give b*q(t) - 259*j(t).\nAnswer: 37*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2639 - 273*i + 881*i - 606*i + i**4 to the form y*i**3 + p*i**4 + t*i + z*i**2 + k and give k.\nAnswer: 2639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 519511968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244592923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3100, 4005, 4946, 5941, 7008, 8165?\nAnswer: 9430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/150 and 59\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 713, 947, 1187, 1433?\n\"Answer: 3*s**2 + 225*s + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 43*s + 5. Let c(o) = 7*o + 1. Let v(z) = 2*a(z) - 13*c(z). Let y(d) = 11*d + 7. What is 5*v(m) + 2*y(m)?\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1545*c - 1547*c - 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 393989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20967 is divided by 489.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from jjttjbttjjtbjbbmt?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 14) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(204) - (sqrt(204) - (sqrt(204) + sqrt(204)*2)))\/sqrt(12)) + -5.\nAnswer: -2*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 52*h**2 + 184*h + 540. Determine m(-3).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*s + 564.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5614\/8*(9\/1 - 5). Calculate the common denominator of q\/(-420) + 3\/5 and -94\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4129069 != 4129081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -889.4 less than -6?\nAnswer: 883.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, o: 2, j: 2}. What is prob of sequence oj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14803299 divided by -3\nAnswer: 4934433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 114, 181, 248, 315, 382?\n\"Answer: 67*r + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 470869 at least as big as 470862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2 + 15*n - 35*n - 11*n + 4 - 2. Calculate r(3).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, x: 1, k: 2, y: 3, a: 5}. What is prob of sequence yyxa?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = 3*u - 239, 161 = 2*u + 3*y. Let d = -64 + u. Suppose -d*p - 15421 = -16*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -36)*1\/2. Let j(v) = 2*v**3 + v - 10*v**3 - 20*v**3 - 2*v**2 - 2*v. Let w be j(-1). Calculate the greatest common factor of w and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*l + 290*l + 275*l + 285*l - 1142*l.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642*p - 4980*p - 1315 - 146177 = 0 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40\/73 - 294\/803. Suppose -5*j - 5*v = -80, -67 = -5*j + 4*v + 4. What is the third smallest value in h, j, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + -7 + -2 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8.7 times 2825.8\nAnswer: -24584.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 + 1016*z + 8205. What is a(-8)?\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80*(-104)\/(-1300))\/((-12)\/15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -962 or -961?\nAnswer: -962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -93.\nAnswer: 35\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4050828*i**2*z**2 - 2*i**2*z - 2*i**2 - 79*i + 73 wrt z.\nAnswer: -8101656*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let m(l) = -l**2 + 6650*l - 2. Determine m(s(g)).\nAnswer: -4*g**2 - 13300*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15 = h, 5*j + 25 = 4*h. Let f be 13\/4 - (-1 + 4). Are f and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13*r**3 - 3*r**2 - 2*r + 1. Determine j(-2).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 244 - -532?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2\/5, 69, 31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - -4 - (-24 - -1). Let h = 12 - v. List the prime factors of 1*2 + 0\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602484 a multiple of 508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 4*v**2 - 5. Let n be k(4). Let w(f) be the third derivative of f**5\/60 + f**4\/6 + 2*f**3\/3 - 70841*f**2. What is w(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2 + 4 - 4 - -2 - -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, -1\/3, -10\/3 in increasing order.\nAnswer: -10\/3, -3, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10100010010110101110101?\nAnswer: 10100010010110101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25146.\nAnswer: 2, 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 45 - 37)*((2*m + 1 - 1)*(-2*m - m + 5*m) + 2*m**2 - 3*m**2 + 4*m**2 + 0*m + 0*m - 2*m**2).\nAnswer: 155*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 8}. Give prob of picking 2 e and 1 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9279 * 4439\nAnswer: -41189481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3891, -3892, -3893, -3894?\n\"Answer: -w - 3890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62685650 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*h = -2*h - 57, -13*f + 16*h + 82 - 98 = -10*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -548, -547, -546, -545, -544?\n\"Answer: t - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 5:01 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54275*j - 54280*j + 4*y + 28 = 0, 63 = 4*j - 9*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyu when three letters picked without replacement from {u: 5, n: 7, y: 4}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -1641 - 415. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19138224*x**2 - 11555851 with respect to x.\nAnswer: -38276448*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 - 18 - (-1 + 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 10 = -5*v + s, 2*v = 5*s + 26 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -2 (c) 192890\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:29 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000038300697 to seven dps.\nAnswer: 0.0000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 3*g - 5. Let c = 42 - 50. Let f be b(c). Suppose -w = x - f, -460 = -5*w + 5*x - x. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -4\/20203 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, -2, -5, -82, 0, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99568 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2145 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 20 = -5*y, -6*y - 19 = 82591*f - 82596*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 831, 815, 799, 783, 767, 751?\n\"Answer: -16*u + 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from alffrryfaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-16) - 1)\/(20\/400). Suppose 0 = -x*l - 28*l + 33. Solve -8*d = -7 - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n. Let t(j) be the second derivative of j**4\/24 - 13*j**2\/2 + 3*j. Let d(k) be the first derivative of t(k). Give d(o(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116 and 6641?\nAnswer: 26564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2052984 (b) -0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, -2.7, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615 - 463 = 98*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014155 at least 7014145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s**3 + 14*s**2 + s - 10. Calculate f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2736)\/(-6080)*(-10)\/(-12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(405) - (2 + sqrt(405))) + -2 - sqrt(405) - sqrt(405)) + sqrt(405) + 2*sqrt(405) + 2)*6)**2.\nAnswer: -1296*sqrt(5) + 14724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1110, 4447, 10010, 17799, 27814?\n\"Answer: 1113*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -40\/4923 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*z - 351, -8*z + 118 = v - 9*z. Calculate the remainder when v is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.49236 to four decimal places.\nAnswer: 0.4924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(3 + 1). Solve 0 = -d*j + 3 + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (566\/11886)\/((-1)\/(7\/(-2))). Let y = -89.6 + 90. Which is the smallest value? (a) k (b) -5\/2 (c) -2\/7 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzuz when four letters picked without replacement from {u: 9, z: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 10:56 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 6*n**2 - 20*n - 2. Let r be t(-8). Let g be ((-2)\/4)\/((-2)\/12). Let z be (-2)\/g - (-94)\/6. What is the highest common factor of z and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 55, 91, 133?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15)\/(3*-1)*(-37653)\/1141\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 360.9694 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 5 + 2 + 7 + 4 - 30*r.\nAnswer: -30*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46 and 49\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**2 + 7*x + 8. Let l(i) = -i**2 + i + 1. What is 14*l(c) - 2*w(c)?\nAnswer: 4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(304) + -3 - (sqrt(304) + -1 + -1*sqrt(304))))**2 + 3.\nAnswer: 512*sqrt(19) + 19523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v**2 - 45*v**2 + 58*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b (base 12) in base 14?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4*x**2 + 1 - 196*x**2 + 377*x**2 - 228*x**2 + (3*x**2 - 2*x**2 + x**2)*(-2 + 1 + 3) + x**2 + 3*x**2 - 2*x**2.\nAnswer: -37*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 97332, 389305, 875926, 1557195, 2433112, 3503677?\n\"Answer: 97324*w**2 + w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 - 20*z - 14. Let r(q) be the first derivative of q**3 + 13*q**2\/2 + 9*q + 1. Let f(s) = 5*m(s) + 8*r(s). Suppose -5 = -a - 0. What is f(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-6 - -3) - (3 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19030090?\nAnswer: 2, 5, 29, 211, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 14)\/((-2)\/(-1)). Let w(d) = 2*d - 9. Let f be w(6). Suppose -f*q - 6*c = -c - 4, 1 = -q - 4*c. What is the biggest value in -3\/5, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/6)\/((2\/(-30))\/((-5315)\/(-95670)))\nAnswer: 100\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (4 - (1 - -8)). Find the second derivative of -c*n**2 + 4*n**2 + 6*n**4 + 6*n - n**4 wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/11 (b) 16 (c) 6.1 (d) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqqq when four letters picked without replacement from iqqiq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -78007 - 753?\nAnswer: -7875a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 7*k - 6. Let t be x(-6). Let i be (-2)\/((t - -1)\/(-2)). Differentiate 21*v**4 - 3 - 1 - 14*v**i wrt v.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114*r**3 + 7855*r**2 - 6833197.\nAnswer: -342*r**2 + 15710*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 17*o**6\/120 - o**4\/8 - 2*o**3 + 2*o**2 + 26*o. Find the first derivative of j(c) wrt c.\nAnswer: 51*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2987, -2\/9, 0, 0.4, -35?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -8230 in decreasing order.\nAnswer: 5, 3, -8230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2646*n**4 + 2478*n**3 - 496*n**2\/3 + 8*n\/3 = 0. What is n?\nAnswer: -1, 0, 2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/(-10))\/((-2)\/(-8)). Calculate the greatest common factor of 63 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 2*q = -4*m + 20, q - 11 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38307 - -8900. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + ((sqrt(300) + -1)**2 - sqrt(300)) + sqrt(300) + (sqrt(300) + (1*sqrt(300) + 0 + sqrt(300) - sqrt(300) - sqrt(300)))**2 + sqrt(300)).\nAnswer: -60*sqrt(3) + 3576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 33, 34, 35, 36, 37?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 13 + 22 = 2*t + 20*r - 5, 8*t - r = 177 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 286 = -450. Let m = a + 190. Suppose -17 = -o + 5*j, o + 9 = -4*j - 1. What is the smallest common multiple of o and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -853210, -853208, -853206, -853204, -853202, -853200?\n\"Answer: 2*s - 853212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 47937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1174*o - 704*o = 564*o + 51282 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((42\/4)\/1)\/(((-1770)\/(-40))\/59). Find s such that -14\/3*s**3 + 2\/5*s**4 - 20\/3 + 82\/5*s**2 - m*s = 0.\nAnswer: -1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*v = v + 24, -v - 21 = -3*f. Let z be (f\/63)\/(6\/(-14)). What is the nearest to -1 in 3\/7, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80143311.\nAnswer: 3, 19, 131, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrdrrdr. Give prob of sequence drr.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -30*u - 20. What is d(-17)?\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0\/(-2 + 0). Let w(b) = 4*b**2 + b. Let s be w(1). Let n = s + -1. What is the greatest common factor of j and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 0.2 (c) 0.9 (d) -74586\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m**2 - 8*m**2 - 27*m**2)*((-1 - m**2 + 1)*(4*m - m - m) + 3*m + 10*m**3 - 3*m).\nAnswer: -352*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2002503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*w + 29 = 0, -15 = 81*o - 78*o - 3*w. Suppose -5*r + 57 = -183. What is the highest common divisor of o and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13635, 54518, 122657, 218052, 340703, 490610?\n\"Answer: 13628*k**2 - k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from laddapladaddld?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243990 and 8133.\nAnswer: 243990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/14)\/(692\/4844)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113231214*s**4 + s**2 + 182171863 wrt s?\nAnswer: 2717549136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3949 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32 + -2)*2\/(4\/11). Let g = k + 117. Let j = -62 - g. Solve 0 = 4*c - 0*c - j, 19 = -3*f + 2*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 - 3*x**3 + 7*x**2\/2 + 11*x + 2. Let l be w(8). Solve 2*p + l*p = -k - 10, -3*k + 3*p - 12 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 i, and 1 e when three letters picked without replacement from iecii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 19*k**2 - 1442*k + 5907. Determine f(47).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -64560 divided by -32280\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22434077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -387 - y**3 + 385 - y**3 + y + y**2 as r*y + a*y**2 + o*y**3 + c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 52*p - 19.\nAnswer: 52*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*j + 23, -18*f + j = -23*f - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21 + -24 + 4 + -1. Suppose -3*p = -2*p - 4*u + 7, v = 5*p + u - 28. Let a = -0.03 - -0.01. Put p, a, -2\/7 in decreasing order.\nAnswer: p, a, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -5, 1\/38, 2\/61, 3 in ascending order.\nAnswer: -5, 1\/38, 2\/61, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Solve a*f = -1 - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b**3 - 2*b - b**2 + 0*b)*(7*b + 7*b + 0*b).\nAnswer: 14*b**4 - 14*b**3 - 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -2.6. Let m = 2\/3381 - -10139\/6762. What is the biggest value in w, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 - 3*m**3\/2 + 3*m**2 + m. Let j be w(-7). Let g = -11 + j. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -23*o**2 - 1. Suppose 119*p - 117*p = 0. Let u(k) = 42458*k - 42458*k + p*k**2 + k**2. Calculate u(z(l)).\nAnswer: 2116*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a day in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 146.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90929 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -4, 40, 15, -3 in decreasing order.\nAnswer: 40, 15, 1\/8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - n**2 + n - 1. Let i(r) = -4*r**3 - 11*r**2 - 3*r - 10. Let f(w) = 5*c(w) - i(w). Is f(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.83939079 to 3 dps.\nAnswer: 0.839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 + -397. Let x = r + 428\/3. Suppose 44 - 44 = w. Is w less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -91. Let p = 44 - h. Let u = 16 - 15.8. Is p smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/171)\/((-272)\/2448). What is the fourth biggest value in 2, c, -1\/19, 0.1, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167428830859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 338, 679, 1020, 1361?\n\"Answer: 341*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27111999?\nAnswer: 3, 61, 148153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6480.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5073\/2*11\/(77\/(-42)). Let b = 27082 + s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1135 - 1310 = 128*l + 755 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.01.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*i**5*u + 34*i**3*u + 7*i*u + i + 10 wrt i?\nAnswer: 240*i**3*u + 204*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:45 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-408384)\/(-283600))\/((-6)\/(-200))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2920*y**3 + 106*y + 2505*y**3 - 106*y.\nAnswer: -415*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {z: 2, p: 2, v: 2, b: 4, x: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 8. Let v(d) = -20*d. Let c(n) = 5*n. Let l(i) = -25*c(i) - 6*v(i). Let s(y) be the first derivative of 2*y**2 + 133. Determine o*l(x) - 6*s(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 33, 5, -5, 6.\nAnswer: -5, 3, 5, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 11 + 0 + 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -0.9. Let s = -59 + 33. Let m = s + 31. Which is the third smallest value? (a) 1 (b) m (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26495735 to the nearest integer?\nAnswer: 5147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 237 = -3*i + 251, 3*u - 5*i = 0. Let z be (-9)\/(-3) + (-34)\/10. What is the nearest to 0.1 in 6, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*34.369.\nAnswer: -171.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 860627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -232\nAnswer: 1\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26954 or 26949?\nAnswer: 26949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -2, -8, -26, -62, -122?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q - 12. Let p be i(8). Let m = 26 - p. Solve -25 = -j + m*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8547.824ml in litres?\nAnswer: 8.547824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 1868*u + 113716. What is t(63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**7\/42 + 3*a**4\/4 + 11*a**3 + 13. Let q(f) be the third derivative of o(f). Differentiate q(l) wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3324*s - 1550*s - 1583*s - 1 - 1014*s to o + u*s and give u.\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2)*(-6 - 1730\/(-285)). Let k = 8.8 - 12.8. Sort -1\/2, k, m in descending order.\nAnswer: m, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204174583 to the power of 1\/3, to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68569, 137141, 205715, 274291, 342869, 411449, 480031?\nAnswer: 548615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -91. Let c(u) be the first derivative of -8\/15*u**3 + 8\/25*u**5 - 6 - 1\/10*u**4 + 0*u + 1\/5*u**p. What is t in c(t) = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 10. Suppose -3*n + l = -4. Find the first derivative of -5*f**n - 2 + 2*f**3 + 0 wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = c + 678. Let l(g) = g**3 + 27*g**2 - 52*g + 236. Let y be l(-29). Suppose -164 - y = -2*p - 2*u, 2*p - c = -3*u. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 2:17 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 21 = 5*d, 4*v - 5*d - 7 = v. What is the third derivative of -9*z**2 + 110*z**4 - 52*z**v + 24*z**5 - 58*z**4 wrt z?\nAnswer: 1440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1421 + 5683\/4. Which is the smallest value? (a) 13\/2 (b) f (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*v - 282. Let a = v + 50. Suppose 4*z + 30 - 147 = r, -2*r = -a*z + 84. Calculate the least common multiple of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5329494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17572288774 and 22.9.\nAnswer: 17572288796.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**31)**(7\/2)*(i*i\/i**(-35)*i*i)**(8\/7) assuming i is positive.\nAnswer: i**(1096\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -4, -8 in descending order.\nAnswer: 7, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 204.1 - 204. Let p = 53\/3 + -18. What is the nearest to l in 3\/5, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 < -1\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 2\/165 (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 8*p - 57. Calculate the highest common divisor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/((-92)\/(-2024))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.0657468 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -64 (b) 8 (c) 2432.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1931, -5310, -10937, -18806, -28911, -41246, -55805?\nAnswer: -72582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 141\/36031?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13322120232 (base 4) to base 12.\nAnswer: 8403a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 990, 1999, 3008?\nAnswer: 4017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 174624 divided by 87312\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34807, 34806, 34805?\nAnswer: 34804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50907, -101800, -152703, -203622, -254563, -305532, -356535?\nAnswer: -407578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22669b - 0?\nAnswer: -22669b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 976 and 1098?\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - a - 6 = 2*a. Put -4, -11, -2, a in descending order.\nAnswer: -2, a, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 49 + (-4180 - -4253)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1875909, 164, -2.\nAnswer: -1875909, -2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 342*s - 3. Let u(b) = -1027*b + 8. Give -8*m(n) - 3*u(n).\nAnswer: 345*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2 = -3*w + 2, 5*w + 2*s = 24. Suppose -89 = -3*k - 5*c, -5*c - 36 - 36 = -w*k. Let f = -11 + 19. What is the remainder when k is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 190 + -322. Let o be 1 + -4 - (519\/a - -1). Is o <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5974108429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 119 = -15*t. Suppose t*d = -0*d - 70. What is the units digit of d\/(-5) - -2*59?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + j + 3)*(0*j + j + 5*j) + (0 + 4 - 2)*(-811*j**2 + 1439*j**2 - 916*j**2) to c + p*j + w*j**2 and give w.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -951 * -693269.\nAnswer: 659298819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*-4*sqrt(1584) - 2*(-2 + 1 + sqrt(1584)))**2.\nAnswer: 864*sqrt(11) + 513220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16752245 divided by -3350449.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266656?\nAnswer: 2, 23, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8*j + 15. Suppose 5*q = y - j, 4*y - 1 = -4*q + 11. Suppose 2*t - y*t = -9. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*g - 226*g - 204*g - 212*g + 865*g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-486)*18\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 6*w + 2*w. Let q(v) = 3*v + 1 - 6*v - 2*v + 3*v + 0*v. Calculate 5*q(j) - 6*r(j).\nAnswer: 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oioxiiixi. Give prob of picking 1 o and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40167320 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.117705ns in milliseconds?\nAnswer: 0.000009117705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12. Suppose -2*j + 2*y + 36 = a, j - 44 = -j + 4*y. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwir. What is prob of sequence ow?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 5 - 15 + 12 - 5*y**2. Let x(h) = 4*h**2 + 2*h + 7. What is 5*d(u) + 6*x(u)?\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77.92 - 77. Let z = n - 0.51. What is the nearest to 2\/5 in 1, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 151 = -4*z + 181, -3*y - 5*z = -33 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Suppose 5*k = k - 2*w, 3*w = -4*k + 4. Let l(a) = -a**3 - 3*a**2 - 2*a + 2. Let c be l(k). Do c and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -568e97 + 3a?\nAnswer: -568e5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(363) + -1 - sqrt(363))*6 - 6*(2 + 2*sqrt(363)))**2*5.\nAnswer: -788940 - 71280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4420\/(-104))\/(-85))\/(1\/(-70)*1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 105, -8 in ascending order.\nAnswer: -8, -4, 1, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9594271 to the power of 1\/2, to the nearest integer?\nAnswer: 3097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42357 by -2017.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2939*f + 2936*f - 21 = 3*u, 9*u - 3*f + 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38100000 rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*h + h. Let t(d) = 2*d - 8. Let n(q) = q. Let w(i) = -3*n(i) - t(i). What are the prime factors of w(h)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.5, -3, 0.09, -9?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1149 = -17*o + 381. What is the remainder when 10618 is divided by o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.73 + 0.7. Let j = -0.143 + 0.116. Let o = b - j. Round o to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10640 is divided by 153?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 14*z - 15)*(z + 2*z - 8*z).\nAnswer: 70*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 3:56 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -818 - -818.0371. Let z = x + -0.03710351. Round z to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 27*d - 12 = 0. Is -28*3098\/d - 2\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10082, 19674, 29272, 38876, 48486, 58102?\n\"Answer: 3*o**2 + 9583*o + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/40)\/(10\/(-80))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 29*t**2 + 34*t**2 + t - 62*t**2 + 7*t**3. Suppose 3*f - 3 = 9. Suppose f*i + 5 = -j - 0*j, 5*i + 4 = j. What is x(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 48 = -3*k + 2*x, -3*k + 31 = x. Suppose 7 = 2*w - z - 2*z, 2*z - 27 = -5*w. What is the lowest common multiple of w and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 - 4)*(-4 - 2 + 5)*(2*b**2 - 4*b**4 - 2*b**4 + 5*b**4) to the form s + j*b**3 + t*b**2 + i*b**4 + n*b and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -j - 140 + 143, 3*j = -4*o + 9. Suppose o = 756*b - 751*b - 5. Which is smaller: b or -10\/29?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.6505918 times 12\nAnswer: -43.8071016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 5*b + 8. Let u be h(6). Let t be (2\/(-7))\/(40\/(-70)) + (-326)\/(-4). Calculate the greatest common factor of t and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36837571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9904495 is divided by 1337?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.9 - -0.5?\nAnswer: -53.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h*l*p + 14*h*l*u + h*l + 3*h*u**2 - 77*l*p*u**3 - 2*l*p*u**2 + p*u**2 - 3*p*u wrt u?\nAnswer: 6*h - 462*l*p*u - 4*l*p + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 9 = -3*h. Suppose -3*r - r + 1988 = 2*n, -2*n = -4*r - 2028. Suppose h*c = -c + n. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.4 (b) 0.2 (c) 1\/2005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*z = 417, 0*i - 2*z = 5*i - 681. Suppose -37 - 32 = -5*d - 3*f, -2*d + 3*f + 36 = 0. What is the highest common divisor of d and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2181 divide 31474447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 631668 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1870107451 divided by 4\nAnswer: -1870107451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + (14638 - -21 - (2 - -1)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.19901 - 194.91801. Let s = 0.281 - t. Let k = 192.000143 - s. Round k to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 66905, -298 in ascending order.\nAnswer: -298, 0, 66905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-16)*(89 + -3). Let d = x + -87. Is d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4220386260?\nAnswer: 2, 3, 5, 61, 71, 109, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7684*v - 12404 - 709892 for v.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooloool. What is prob of sequence lo?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2983*h**2*q**3*s**3 + 66*h**2*q**3*s + h**2*s + h*q**2*s**2 + 4*q*s**2 wrt s.\nAnswer: 17898*h**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5273 - 2734. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782998?\nAnswer: 2, 31, 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(931) + 0 + sqrt(19) + 3 - (-3 + 1 + sqrt(304))))**2.\nAnswer: -1600*sqrt(19) + 30800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*z + 68*z + 18 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -1, -129, -116, 0 in increasing order.\nAnswer: -129, -116, -1, 0, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -313*g + 6265. Let z be w(20). Let t = 0.06 + -0.46. Let x be 15\/9 - 2 - 0. Which is the closest to t? (a) x (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13037 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: List the prime factors of ((-3799)\/(-58))\/((-2)\/(-28)).\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.37 + 0.07. Let j = 1 - 1.2. Let o = m - j. What is the closest to o in 3\/4, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 - 9*p + 23 - 5 wrt p.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76883 = 41*w - 510463 + 41677. Round w to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**4 - 2*r**3 + 5*r**2 - 5*r. Let t(s) = 3*s**4 + s**3 - 4*s**2 + 4*s. Let p(l) = -4*k(l) - 5*t(l). Factor p(f).\nAnswer: -3*f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 15. Let v be y(-15). Suppose 3*k - 13*k + 1380 = v. Calculate the remainder when k is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1124 + -14.\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3))**(4\/13)\/(h**(-4\/5))**37 assuming h is positive.\nAnswer: h**(5732\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -445 - b2a?\nAnswer: -1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -7 + 9*x - 2*x**2 - 15*x - 3 + 5*x**2. Differentiate l(q) with respect to q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*l + 2 - 225*l + 66*l to the form r*l + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:54 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -765.29 - 9.71. Let a = -774.7269 - m. Let v = 0.256 - a. Round v to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.096.\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 18*d**5 + 94*d**4 - 78*d**3 - 494*d**2 + 60*d + 400 = 0.\nAnswer: -5, -20\/9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 15. Let h(x) = -255*x - 205. Give z(h(f)).\nAnswer: -255*f - 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 4*d**2 + 2. What is q(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 137657.302 and 7.\nAnswer: 137664.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q\/(q*((q\/q**26)\/q)\/q*q))\/q*q)\/q)**(-22)*((q*q**(3\/25)*q)\/q)\/q**(5\/4))**(2\/3) assuming q is positive.\nAnswer: q**(-19071\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 5*w**2 + 90*w + 26. What is r(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-4) + (-1)\/(-5)*(-210)\/(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k - 11 = -16*k + 3*s, 0 = -3*k - 4*s - 14. Suppose 18\/7*m**3 - 2*m**4 - 18\/7*m + 10\/7*m**k + 4\/7 = 0. What is m?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/805 and 73\/1932.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/12 - 2*n. Let f(j) = -59*j**2 - 5*j. Let v(q) = -855*q**2 - 72*q. Let c(a) = 72*f(a) - 5*v(a). What is c(g(o))?\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q + 11 - 11)*(611*q + 286 - 286).\nAnswer: -7332*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2077219.\nAnswer: 1291, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 - 0.2. Let j be ((-2)\/10)\/(-2*16\/(-40)). What is the smallest value in j, d, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5038, -4946, -4792, -4576?\n\"Answer: 31*h**2 - h - 5068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5\/7, 1\/6?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107582127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86921?\nAnswer: 17, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 3*d = 45, -4*d = 4*z - 115504 + 115560 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10 = -4*r + 4, 0 = r - 3*i + 4. Let s = 2 - r. Let z(w) = 13*w**2 - 4*w**2 + 4*w**2 + s*w**2. Let h(c) = c. Calculate h(z(y)).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -8*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) - 7\/2. Is u equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -198158383.4759 - -198148816. Let r = 9568 + u. What is r rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whccwhhhccwwcccch. Give prob of picking 1 w and 1 h.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77 take away -0.27?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-162)\/(-45))*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -103 - -5?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Let n(z) be the first derivative of -9*z**2 + 1167. Calculate -5*i(f) + n(f).\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19*y + 22. What are the prime factors of r(13)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a year in months?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-1 + -8 - 0) + 6 - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48032 is divided by 12002?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -2)*-5 + (1 + sqrt(2736))**2*1.\nAnswer: -36*sqrt(19) + 2747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2*f**6\/3 + 3*f**2\/2 + 8. Find the second derivative of g(u) wrt u.\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.5 - -4.8. Let r = n - -3.5. Let z = 22 - 20. Put r, 4, z in descending order.\nAnswer: 4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 55 = -0*f. Let y = 406 + -200. What is the remainder when y is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -437706392 = -437706393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/(-46) - 7\/(-2). Let w(d) be the first derivative of 0*d - 1\/2*d**2 + r. Let l(n) = -7*n. Give l(w(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 13*y**2 - 16*y - 16. Let x be g(-14). Let j be 3\/10*x\/9. Factor 3\/5*m - 1\/5*m**3 + 0*m**2 + j.\nAnswer: -(m - 2)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 309 = -4*o + 253, -2*b = 5*o - b + 8*b + 86 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23a9 - -3?\nAnswer: -23a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.682 - 0.308. Let d = 0.01 - b. What is the third biggest value in 2\/13, d, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1695388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 595\/4 - 148. Which is the biggest value? (a) 2 (b) -2\/11 (c) w (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-12))\/(4\/2526). Let j = 143 + k. List the prime factors of j.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*b + 73426160 - 100346884 - 161590724 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2))\/(l**11*l) assuming l is positive.\nAnswer: l**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 654 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-1)\/(-2))\/((-2)\/(-12)) and (-340)\/(-85) - 0\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 - 920*l**3 - 2850*l**2 + 8440*l - 4675 = 0 for l.\nAnswer: -5, 1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16316 - 16316.6. Which is the closest to -5? (a) -3 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 7*x - 7*x + (-x - 3 + 3)*(-6*x + 0*x + 4*x) + 2*x + 2*x**2 - 2*x - 2*x**2 + 2*x - 2*x + (5 - 3 - 4)*(0*x + 0*x + x**2) - 5 + 5 - 3*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (sqrt(240) - sqrt(240)*-2))\/sqrt(12) + sqrt(500)*-2)\/(5*sqrt(250) + -2*sqrt(160)).\nAnswer: -6*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2094*u - 12569. Determine f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 37 = -d + l, d - l + 15 = 0. Let h be ((-4)\/(-6))\/((-1)\/12). Let s = h - d. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 + -165. Calculate the remainder when 36 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 197*g - 8 + 27 + 3 in the form v + f*g and give f.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2783 = 2784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799571666.\nAnswer: 2, 399785833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14399 and 935.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*y - 256*y + 28*y**3 + 2*y**3 + 86*y + 85*y.\nAnswer: 30*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29830 and 3230.\nAnswer: 507110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 3*c + 3. Let w be o(-4). Let s be ((-9)\/6)\/(w\/6). Let g = s - 7. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -988 + 2357. Let w = h + -713. What is the remainder when w is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((25*p - 24*p - 18*p)*(-3*p**2 + 3*p**2 + p**3) + 23*p**2 - 23*p**2 - 17*p**4)*(17 - 16 + 18).\nAnswer: -646*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-70)*(-10)\/4 - 5844560\/(-560). What is j rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(((-302)\/(-1812))\/((-2)\/(-56)))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0153 - 279.9847. Let l = -280.179 - m. What is l rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/4 + 6177*h**4\/4 + 5169615*h**3\/2 + 1236213167*h**2\/2 + 161387902305*h\/4 + 158925809025\/4 = 0. Calculate h.\nAnswer: -2953, -135, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-16)\/y**6)**(-33\/5))**(4\/23) assuming y is positive.\nAnswer: y**(2904\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l**5 - 1)*(2 + 1 - 2) - 132*l - 3 - 10*l**5 + 132*l.\nAnswer: -11*l**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*o**2 + 529*o - 11161 wrt o?\nAnswer: 176*o + 529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 96 - 2*s + s - 89. Let n be y(7). Suppose l + 5*u = 9 + 37, 4*l - 2*u - 96 = n. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.6 + 11. Let w = -6 - v. Let x = -3 + 3.4. Put w, -3, x in ascending order.\nAnswer: -3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {e: 10, m: 3, x: 1, t: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfnm when four letters picked without replacement from {n: 3, d: 2, m: 4, t: 1, f: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*x, 0 = -4*k - 0*x + 3*x - 8. List the prime factors of 72\/(4 - k) - 2.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180257822, -180257823, -180257824, -180257825?\nAnswer: -180257826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6\/(-8))\/(68\/816) - 19\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -7. Let k be 0\/q + -3 - -8. Solve 6 = 2*x - y, x + k*y + 6 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5511*k - 9160 - 34928 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = -0, -2*b + 4 = 3*x. Let z be (2454 - -1)*1 - 2. Suppose -x*o = -5*o + z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4272095\/746586 + 2\/41477. What is the common denominator of q and 125\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 564 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/29? (a) 0.2 (b) -0.5 (c) -0.2 (d) 0.4 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -16.349728.\nAnswer: 65.398912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -15.6, 5, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2289, 2268, 2227, 2160, 2061?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - (sqrt(91) - 2*sqrt(91)) - sqrt(91))*-6*-3)\/(1*sqrt(343) + sqrt(21)\/sqrt(27)))**2.\nAnswer: 9477\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 515853 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/52662 and -137\/804.\nAnswer: 105324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61454000.3 times 3?\nAnswer: 184362000.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Find the second derivative of j*y + 5*y**4 - 6*y + 0*y wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 312 = 687. Let q(c) = -c**3 - 4*c**2 + 4*c - 4. Let t be q(-8). Let s = r - t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*m**2*q*v - 2*m**2*q - m**2 + 32*m*q + 36*q*v + 2*v with respect to v.\nAnswer: -9*m**2*q + 36*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32592162?\nAnswer: 2, 3, 17, 173, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mejh when four letters picked without replacement from mheejie?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 837\/(-30690) - (-3)\/66\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 34*t**2 - 2*t - 70. Let r be n(-34). Put -4, -3, r, 0 in ascending order.\nAnswer: -4, -3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2320*b + 68865 = -115427 - 84828 for b.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {l: 2, a: 1, n: 3, c: 4, g: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 8 - (21 - 42)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 13. Let x(z) = -18*z - 5. Let r be x(-4). Let a = r + -50. Calculate the remainder when o(-10) is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.31 * 31\nAnswer: -40.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 890*a = 904*a - 826. Solve -a*l + 71*l + 24 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1. Suppose 2*t = 2 - 0. Let k(z) = 2*z**2 - 9. Let j(w) = -7 + 10 - 2. Let x(m) = -2*j(m) - k(m). Calculate t*x(y) + 6*g(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*l - 18 = -2*l, 9 = x + l. Let u be 7\/(-1) - (1 - 2). Let y be (16\/x)\/((-4)\/u). Solve -4 = -2*t - y*w, -5*w = -t - 4*t - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -206.6 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(4\/3)*i)\/i)\/i)**8 assuming i is positive.\nAnswer: i**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*j + 4. Let l(d) = 35*d - 31. Let k be l(j). Let t = k - 88. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3365 + 6882. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -1.96. Suppose g = 0, -g = -4*q + 2*g + 16. Let t = -55.2 + 54.7. Which is the smallest value? (a) i (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184 - (-113 + -106) - (0 + 16)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 14. Suppose 143 + 2242 = h*j. List the prime factors of j.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -21 + -4 + -313 + 321.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x - 8. What is the smallest common multiple of 12 and 12*(x - -1)*(-1)\/(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsttunb. What is prob of picking 1 u, 1 n, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 8750*x + 2838000.\nAnswer: 5*(x + 430)*(x + 1320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/(-490))\/(((-600)\/32)\/(-3))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (231 + -3)\/(0 - (-51)\/(-442)*26).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcgbbbmbggggbgbgb. What is prob of picking 1 c, 2 g, and 1 m?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7123918, 5, -2 in decreasing order.\nAnswer: 5, -2, -7123918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22605 = -19*y + 4869. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -448 - -893. Let j = c + -307. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**3\/3 + 5*l**2\/2 - 2*l + 2. Let k be q(-5). Let t be -1 - 12\/(k\/1). Solve 0 = -3*b + 5*o - 28, -2*b - t*o + 15 = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r**2 - r + 68. Let u be c(0). Let n = 75 - u. What is the greatest common divisor of 21 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-3 - 1 - 1)*(5*r**2 + 1 - 1 + (5*r**2 - 2*r**2 + r**2)*(-4 + 0 + 2)).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -939\/34135?\nAnswer: -939\/34135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 99*n**3. Let m be j(-1). Let g be (-1)\/4 - m\/12. Suppose -3*d + g = -4. Solve b - 19 = d*b - 4*z, z = -b - 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1 + 1 - 1 + 64*a - 75*a. Determine b(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1823, 1717, 1543, 1301?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85475 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -7 (c) 5\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - 53*i + 18. What is the tens digit of v(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011608 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let k be -1 - 12\/(g - 6). Solve -k*s + 4 + 11 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - ((-12)\/(-3) - 11). Let s(d) = -10 - d**2 + 0 + d**3 + 0 + 0*d**g. Let m = -5 - -5. Determine s(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 25 - 25 - 6*a - 33*a**2. Let q(f) = 65*f**2 + 11*f. Let i(n) = 3*q(n) + 5*t(n). Let y be i(-2). Round y to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 21*n**2 - 2*n - 5 - 22*n**2 - n. Let z(i) = -5*i + 13. Let l be z(4). Let a(q) = -q**2 - 3*q + 24. Let y be a(l). Give o(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 262?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -50, -54, -56, -56?\n\"Answer: y**2 - 9*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30 (b) -160 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*t + 5, 1 = y - 2*t + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/2)\/l*l**(-2\/3))\/(l\/(l*l*l\/(l**(4\/3)\/l)*l*l)*l**0\/l)*((l\/(l\/(l\/(l\/l**1))))\/l*l*l)**(-5\/8)*l**(2\/3)\/(l*l**0) assuming l is positive.\nAnswer: l**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 20*l**2 - 7\/90*l**5 - 1\/9*l**3 + 0 + 2\/9*l**4 + 0*l. Suppose a(h) = 0. Calculate h.\nAnswer: 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41249 and -106.\nAnswer: 4372394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*k + 1440 = 241*k. Solve k*x - 41*x + 49 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*n**2 + 195*n**2 + 0*n + 2 + n - n.\nAnswer: -27*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2846 + 27?\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 + 70. Sort -0.4, 5\/3, a in increasing order.\nAnswer: -0.4, 5\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10018321 divided by 6.\nAnswer: -10018321\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874*q - 6668 = -28518 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 720538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:50 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 84129515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + f + 3. Let x be s(0). What is the remainder when 11 is divided by x + (-4 - -4) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 4 + 6 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518 divided by -6.\nAnswer: -259\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 2. Let g(i) = i. Give c(j) - g(j).\nAnswer: 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.3369 - 281.7229. Let g = n - -252. Let b = 0.229 + g. What is b rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144 - -243. Let v = i + -99.07. Let j = -102 + 409\/4. Which is the nearest to -2\/3? (a) j (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 207*o + 16. Let m be l(7). Suppose 0 = -4*u + m - 1581. Suppose -3*s + 0*s - 93 = 0. Which is greater: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16954 and 773829?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2111147335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.069 - -2.008. Let y = 36 + i. What is y rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36854 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: Collect the terms in 20500*w - 10219*w - 10238*w.\nAnswer: 43*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2 - (7 - 9). Suppose s = f + 4*f. Suppose 4*w - 7*w + 888 = f. Calculate the highest common factor of w and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + c = 4*c, 4*c + 1 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1853*r - 674*r - 2304*r = 1127*r + 423018 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -21*(-1 + 0)\/3. Let k(j) = -2 + 39*j**2 + v*j - 15*j**2 - 23*j**2. What is the lowest common multiple of 10 and k(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.01 + 0.01. Let l(d) = -d**2 + 122*d - 694. Let o be l(116). What is the biggest value in r, o, -11, 3\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-4)\/(-3)). Let m be (-5)\/(-5) - (-1 - 5 - -4). Which is the fourth smallest value? (a) -0.4 (b) m (c) 6 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, -2, -16, -40, -74, -118?\n\"Answer: -5*l**2 + 11*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -542326 - 3?\nAnswer: -542332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*n = -129*n + 25248. List the prime factors of n.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 16*o**2 - 62504*o - 500038. Determine c(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8231205l in millilitres?\nAnswer: 823.1205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -11139, -3.\nAnswer: -11139, -24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 66. Let c(h) = -11*h - 2. Let k be c(0). Sort i, 5, 1, k in descending order.\nAnswer: 5, 1, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*m + 58*m + 44*m as o + l*m and give l.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99695 by 5.\nAnswer: -19939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -235, -225, -215, -205?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33268.710353 + 68.\nAnswer: -33200.710353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 20611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 3, 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 - -75. Which is the nearest to -0.2? (a) r (b) 20 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**5 + 1025*v**4 - 37741*v**3 + 15987*v**2.\nAnswer: -v**2*(v - 73)**2*(7*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/351 and -7\/351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**(1\/28))**39 assuming y is positive.\nAnswer: y**(39\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -37*p - 1033. Let x be d(-28). Solve -4*q + v - 5 = 0, x*q + v + 12 - 17 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 570524.6400762 and -5.\nAnswer: 570519.6400762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795152181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(612) - (sqrt(17) + -2 + 0).\nAnswer: 2 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(143\/(-26))\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 8*y**2 + 47*y - 361. Let d(b) = 73*b**2 - b. What is the remainder when d(1) is divided by a(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -30\/71, 1.7, -6?\nAnswer: -30\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -1. Let d be -3*((-20)\/9 + 2). What is the nearest to 1 in 4, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 1 - 7)*(-1 + 3 - 1)*(l**2 - 4*l**2 + 4*l**2 + l**2 - 2 + 2 + (0*l + 0*l - 2*l**2)*(4 + 2 - 4)).\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -263*x**3 + 39*x**2 - 99*x + 24. Determine p(2).\nAnswer: -2122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3592032 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1315459 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-32)*2\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 10*s**2 + 14. Calculate the least common multiple of 20 and i(-10).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -53. Let c be 4\/f - 76\/(-18). Let o be 1\/(c*(-2)\/(-16)). Solve 2*k + 2*w + 4 = 5*k, 12 = 5*k - o*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3588 - -5897. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*h - 711 = 0. List the prime factors of h.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 598767427, 1197534854, 1796302279, 2395069702, 2993837123?\n\"Answer: -g**2 + 598767430*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 7*l**2 - l - 7. Let d be k(-6). Suppose 9 = 2*r + 113. Let a = d - r. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1763673 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b**2. Let g be m(-1). Suppose -g*s + 5 = -10*s. Let t = s - -11. What is the greatest common divisor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 3*f - 3. Give m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v**5 + 2528*v**4 - 2960*v**3 - 22040*v**2 + 28908*v - 6408 = 0.\nAnswer: -3, 2\/7, 1, 3, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1.1, -2\/3, -9 in descending order.\nAnswer: 20, 1.1, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -14*o**3 - 7*o**2 + 7*o + 7. Let m(q) = -5*q**3 - 2*q**2 + 2*q + 2. Let w(g) = 7*g**3 - g + 1. Let f be w(1). Calculate f*m(t) - 2*s(t).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*m + 59\/5 + 1\/5*m**3 - 59\/5*m**2.\nAnswer: (m - 59)*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.66 - 1.66. What is the third smallest value in 0.2, 1, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let y(l) = 2*l. Let j(d) = 7*h(d) - 5*y(d). Let c(z) = -6*z + 3. Determine j(c(a)).\nAnswer: 18*a - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003 times -55.34?\nAnswer: -0.016602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*t**5\/4 - 3117*t**4\/4 + 20265*t**3\/2 - 35415*t**2 + 45186*t - 17232 = 0. What is t?\nAnswer: -359, 2\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 121 (b) 2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/18 + 3974*f**3\/9 - 3948169*f**2\/3 - 64*f + 53. Factor y(a).\nAnswer: -2*(a - 1987)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or -18070?\nAnswer: -18070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4 and -97\/231312?\nAnswer: 231312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 15*f - 37. Let o(i) = i**2 + 1. Let w(n) = -c(n) - 2*o(n). Let h be w(17). Which is smaller: h or 38?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*j - 37562 = 15073. Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*w - 26 = 0, 4*h + 4*w - 28 = -0*w. What is the units digit of 12\/(8\/(h\/3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16969 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: Suppose -n - 33 = -4*n. Find the second derivative of 1 - 1 + n*h - 8*h + 3*h**3 wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1233780 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -452877\/5 - -90206. Which is bigger: u or -370?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q + 166*q**2 - 1 - 166*q**2 + q**3 to t*q + a*q**3 + p + o*q**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = 3*y - 2, -g - 5*y = 0. Let u(q) = q + 2. Let i be u(g). What is the greatest common factor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63909?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 1804.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + t + 43, -z - 5*t + 0*t = -1. Let y = 70 - 78. Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1870.911 milliseconds?\nAnswer: 0.0000030934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = 0, -28*o - 4200009 = -26*o - 3*u. What is o rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 + 235*c + 248. Let u(s) = -2*s**2 + 118*s + 124. Let j(w) = 2*k(w) - 5*u(w). Factor j(x).\nAnswer: 4*(x - 31)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/1*-1 - ((-182)\/(-13) + -13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2)*-6 + 5*(2 + sqrt(2)) + 0.\nAnswer: -sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22d20 (base 14) to base 9\nAnswer: 138408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*b + 13*b + 21*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 2, l: 7, x: 2, t: 1, z: 1}. What is prob of sequence zl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 8*p**2 + 15*p + 95. What is the remainder when 105 is divided by d(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 33 + 2443*s**2 + 1275*s**2 + 2087*s**2 - 79 to the form r*s + l + x*s**2 and give x.\nAnswer: 5805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**3 - a**3 + a**3 + a**3 + 0*a + 0*a + (-2*a**2 + a - a)*(0 + 0 - a) + 3*a**3 + a**3 - a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - t**2 - 1. Let r(k) be the first derivative of 0*k**2 - 1 - 4*k - 4\/3*k**3 + 5\/4*k**4. Give 4*i(o) - r(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 18 - (0 + 11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrcrrrr. Give prob of picking 2 r and 1 c.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 14 = -5*i, -39 = -4*q + i - 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1051 - 122402?\nAnswer: -121311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 7) to base 6\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*b + 168. Let o(a) = 240*a**3 + 2*a**2 - 4*a + 2. Let l = -142 + 143. Let p be o(l). What is the highest common factor of b and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 11*x + (-3*x + 5*x - 3*x)*(0 - 5 + 0))*(-38 - 28 - 3).\nAnswer: 414*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2395, 2400, 2403, 2404, 2403, 2400, 2395?\n\"Answer: -x**2 + 8*x + 2388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20039 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -54*y**7\/35 + 80*y**3\/3 + y**2 + 36*y. Differentiate x(r) with respect to r.\nAnswer: -1296*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 + 4*g)*(1 - 3 + 4) + 2*g - 7*g + 3*g to the form f*g + n and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 10:09 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1469785 - 28*f**2 - 1469785.\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 126. Let t = -88 - u. Let r(g) = 6*g - 2. Calculate the remainder when t is divided by r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 8) to base 4.\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 0*x**5 + 0*x**5 + (-3*x**3 + 3*x**3 + 2*x**4)*(-122 - 29*x + 122).\nAnswer: -59*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + -4 + 2*sqrt(5)) - (sqrt(180) + -2*sqrt(180) + 4 + -2))**2.\nAnswer: -176*sqrt(5) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4367920 to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*q - 5*h, 0*h = 3*q - 2*h - 173. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 + 160035*a**4 + a**3 - 160035*a**2 = 0.\nAnswer: -1, 0, 1, 160035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 + 163. Let w = 107 + r. Which is smaller: -2\/7 or w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 647, 651, 649, 635, 603, 547?\n\"Answer: -n**3 + 3*n**2 + 2*n + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444 by 2.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2278 and 633114?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 1 + (-1 + -3 - (17 - 10936)) a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-18)*69\/(-230).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(2835)*-1 + sqrt(35) + sqrt(35))\/((1*sqrt(60))\/sqrt(12) + sqrt(5) - sqrt(5)).\nAnswer: 1 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.084729203274 + -0.118\nAnswer: -0.202729203274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/2, 6817, 0.3, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11317162, -11317161, -11317148, -11317117, -11317062, -11316977?\nAnswer: -11316856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**7\/14 + 27*f**6\/10 + 49*f**3\/2 + 1350*f. What is the second derivative of y(i) wrt i?\nAnswer: -60*i**3 + 972*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p**3 + 2*p**2 + 1. Let n be f(-1). Is 13 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = 2576*i - 308304 + 32799 for i.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12021121201 (base 3) to base 8.\nAnswer: 313041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -5, 1, 0, 855, -1 in descending order.\nAnswer: 855, 3, 1, 0, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6217148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*p + 20 = 0, -4*p + 35 = 5*b + 23. Solve 0 = 5*t - 5*k - 15, -b*k = -t - 0*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose 10 + r = -3*h. Let w(d) = -d**3 - 4*d**2 - 3*d - 4. Is w(h) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*h + 39 = 0, -5*z + 3*h + 33 = -2*z. Let b be 15\/z + (-11)\/44. Solve 4*a = -b + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2. Let r be (4 + -6 - -4)*4. Suppose -538 = 6*k - r*k. Let p(b) = -134*b + k*b - 132*b. What is g(p(d))?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = -5. Suppose 3*f + 146 = 3*r - 2*f, -p*r + 5*f = -230. Suppose -4*j + r + 2 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61536473 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 1.2695.\nAnswer: 4.2695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4404 by 6.\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -1\/3*j**3 - 3*j + 0*j**2 + 0. Let w(r) = -r**2 + r + 2. Let a be w(3). Determine k(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqsscbbsisiqec. What is prob of picking 1 c, 1 q, 1 b, and 1 i?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - (5 + -13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1945 and 1835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 6:40 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/18))\/d**(-22))**(4\/7) assuming d is positive.\nAnswer: d**(830\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62, 55, 44, 29?\n\"Answer: -2*m**2 - m + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**3)**(-2\/61)*(f*f\/f**(1\/2))**(-14) assuming f is positive.\nAnswer: f**(-1277\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*25\/10 - -4. Let i = 12 - 3. Let v = i + u. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28359 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: Let j(i) = i**2 - 47*i - 507. What is j(-10)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 2*p**2 - 5*p + 3. Suppose -52 = -q - 16. Suppose 0 = -34*o + q*o + 20. Is k(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3060800*l**3 - 952*l**2 - 1597*l.\nAnswer: -18364800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2480316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.97352 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 8*v**2 + v + 21. Let q = -134 + 82. Let d = -45 - q. List the prime factors of l(d).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 26 + 3 - (71 + 5)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.51530133 and 0.09.\nAnswer: -0.2263771197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*(8\/(-24))\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*b**5 - 300524*b**4 - 340834832*b**3 - 56852982524*b**2 - 2575288436160*b + 143247110400 = 0. Calculate b.\nAnswer: -1992, -95, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/60 + w**4\/4 - w**3 - w**2. Let o be t(6). Is (-2)\/o + (-130)\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 2 - 2)*(0 - 3 + 5)*(2 - 2*u**2 - 2 + (2*u - 5*u + 0*u)*(u - 2*u + 0*u)) to the form t*u**2 + n*u**3 + p + g*u and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -523001 (base 6) to base 16\nAnswer: -a489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*a**5*q + 175*a**4*q**2 + 737*a*q**2 + a - 3*q**2 - q wrt a.\nAnswer: -360*a**3*q + 2100*a**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/5 and -23\/24870?\nAnswer: 24870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/127 + 240\/889. Let y = 1.24 - -1.76. Let l = 0.04 + 0.16. What is the nearest to v in l, 4\/7, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c**2 - 22*c - 22. Let a(i) = -4*i**2 + 7*i + 7. Let r(g) = 8*a(g) + 3*u(g). Let y be (-3 - -3 - -1)\/(65\/715). Give r(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 5, -i = 4*k + 20. Let y be ((-12)\/(-22))\/(i\/16). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(36)\/sqrt(48) + sqrt(48) + 1 + -3.\nAnswer: 1 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 + 37*c - 181. Is 42 a factor of g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**2 + m**2 + 2*m**2)*(5*m**3 - 4*m**3 + 0*m**3) + (m - 2*m + 0*m)*(-2*m**4 + m - m) - m**5 - 3*m**3 + 3*m**3.\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.3, -4, -2\/3, -6 in decreasing order.\nAnswer: 4.3, -2\/3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**7\/2520 + t**6\/72 + 7*t**5\/60 + 29*t**4\/12 - 7*t. Let b(z) be the third derivative of f(z). Is 10 a factor of b(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30, 2, -9.044?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d**2 + 4*d - 9. Let n(c) = -6*c**2 + 2*c - 4. Suppose -5*q = -5*k - 25, 4*q + 38*k - 12 = 41*k. What is q*v(b) + 7*n(b)?\nAnswer: -9*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8982133703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10953 and 71624101.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 882 and 1488?\nAnswer: 218736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76)*3 + -4))**2*5 + (5*sqrt(19)*-3 - (1 + (sqrt(19) - (sqrt(19) + 3 + sqrt(19))**2 - sqrt(19)))).\nAnswer: -163*sqrt(19) + 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -141529427 + -74574?\nAnswer: -141604001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 714 + -710. Let u(r) = r**3 + 5*r**2 - 7*r - 2. Let z be u(-6). Suppose -3*h = m + z, 9 = -m - x*h - 0. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - k - 144 = -7*a + 2*a - 142, 3*k = -6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 510331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6989 and 1205.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 54 = -47*r + 212, -3*h - 2*h - 97 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 36. Suppose 2*z - t*z + 42 = 0. Suppose -5*m = -2*d - 0*m + z, -m = -4*d + 30. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 + 74*j - 303. Let w be z(18). Calculate the highest common divisor of 6232 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1912620 - -0.2\nAnswer: -1912619.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -881.\nAnswer: -36\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278808?\nAnswer: 2, 3, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 1. Let n(f) = f**2 - 6*f + 2. Let v be n(6). Suppose 0 = v*x - x + 1. Determine w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z + 34. Let q be h(8). Calculate the highest common divisor of 37 and q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6271 divided by 12\nAnswer: 6271\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 1)*(4 + i**3 - 4)*(-1 + 0 + 4) to the form v + j*i**3 + t*i + o*i**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 252 + 252 + 2*o - 3 + 3 + (-5*o + 2*o + o)*(-2 + 3 + 1) - 52 + 28 + 3*o + 29 in the form v + b*o and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*r**3*y**4 - 52*r**3*y**2 + 4*r**3*y + 11*r**2*y**3 + 2*r wrt y.\nAnswer: 1368*r**3*y + 66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**4 - 92755950*i**3 + 28131407*i**2.\nAnswer: 24*i - 556535700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9\/4)\/(a*a**(-4))*(a*a**0*a)**17)**(-27) assuming a is positive.\nAnswer: a**(-3753\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681 = -2*g + 3*m, -4*m = -5*g - 0*m + 1692. Suppose 26*v - 1689 - 679 = -600. Calculate the remainder when g is divided by v.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 4 - h + 11 + 2.\nAnswer: -h + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2858, 11414, 25666, 45608, 71234?\nAnswer: 102538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.49913 decades in years?\nAnswer: 904.9913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-140)\/3)\/(2\/(-6)). Suppose -19*x + p = 9*x. Let a = 17 - 15. Sort 6, x, 0, a.\nAnswer: 0, a, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h + 7. Let t(q) = -q + 13. Let l be t(8). Let u(k) = -6 - 2 - l*k - 3*k. Let j(c) = 5*r(c) + 4*u(c). What is j(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 0 + (-3 - 2). Suppose 37*g - 28*g - 909 = k. Suppose -3*a + g = u, 3*u - 107 = 2*u - a. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q - 1 + 1)*(6*q - 5*q - 2*q) + 3*q**2 - q**2 - q**2)*(326*q - 324*q - 29*q**2 - 76 + 22*q**2).\nAnswer: -14*q**4 + 4*q**3 - 152*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 517 + 515 + 16275*s + 518 - 1550 in the form w*s + b and give w.\nAnswer: 16275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2647699*0.07\nAnswer: 0.018533893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 6*z + 7. Let h be o(-3). Let w be (-1)\/(h + (-87)\/(-45)). Suppose 5*b = -5*y + w + 15, 2*y - 26 = -4*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40026552 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 5*v**2 + 8*v - 9. Let a be n(6). Let r be (-98)\/(-258) - a\/9. Let h = -137\/172 + r. Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a (base 14) to base 13\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 58. Suppose m + 2*m = 33. Calculate the remainder when 687\/33 - (-6)\/v is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2006786?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1202137 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131215 + 360744. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283200 = 10*n - 14*n. What is n rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x - 6. Determine v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 198648, 198652, 198656, 198660, 198664?\n\"Answer: 4*y + 198644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -585 - -589.01. Let p = -3 + 2.99. Let d = z + p. Put 0.3, d, 2\/9 in descending order.\nAnswer: d, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 11. Let n = r + -5. Suppose 0 = w - n*w - 8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17327510 - -17327555.000038. Let k = -89 + 44. Let b = k + a. Round b to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 8650 + 15638 = 0. Calculate the greatest common factor of a and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -439, -15, -73, 136 in decreasing order.\nAnswer: 136, -15, -73, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (sqrt(88) + 2*sqrt(88)*-1 + sqrt(88)))*1)\/((2*(sqrt(77)*1 + sqrt(77)))\/sqrt(7)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 250, 354, 458?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 126 = -2*t + 7*t, -t - 168 = -5*h. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423690855 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 46, 92, 174, 304, 494, 756, 1102?\n\"Answer: 2*l**3 + 8*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10463 by -9.\nAnswer: -10463\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1886\/483 + -3 + 1 + -2.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/11)\/(b\/(b*b**(-8))))\/(b*b*b**(1\/6)*b*b*b*b*b\/(b\/b**(-5))*b) assuming b is positive.\nAnswer: b**(-665\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/540 and -91\/13878.\nAnswer: 138780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061529 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:06 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 480 = -39. Let a = -74 - o. Does 11 divide 4\/(-3)*957\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -755.2 + 755.10246. Round h to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/3 + 56*a**2\/3 - 84922*a\/3 + 28288 = 0. Calculate a.\nAnswer: -221, 1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 3. Let p(m) = -5*m - 2. Let r(v) = 2*g(v) - 3*p(v). Let h(u) = -62*u**2 + 35*u**2 + 28*u**2. Calculate r(h(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10*t. Let j(o) = -11505*o. Give j(z(k)).\nAnswer: -115050*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4174 is divided by 2085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 290752 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-3)\/12*(-3 + -1). Solve 0 = m*y + 3 + 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 814\/(-30) - (-2)\/15. What is the units digit of (6\/(-9))\/(6\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + -1*(2 + sqrt(176))))**2*1.\nAnswer: 512*sqrt(11) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.486939 + -0.4844. What is w rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - v - 16*v**3 - 4*v + (3 - v - 3)*(13*v**2 + 1928 - 1928).\nAnswer: -29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 6:06 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 4*g - 3*g - 4*g + 6*g - 3*g + (-2*g + 2 - 2)*(9 + 5 + 17) + 1 + g - 1.\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.583 - 0.017. Round m to zero dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c + 25. Let f be o(-4). Suppose -2*j = -f*m + 3*m + 20, 80 = 4*m + 4*j. Calculate the greatest common factor of m and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, u: 4, l: 1, p: 2}. Give prob of picking 1 l and 1 u.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 10:23 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53623085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 125969 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 17*h**2 + 26. Let s(k) = -7851*k. Calculate w(s(c)).\nAnswer: 1047849417*c**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 560 = 15*a. Let u = 82 - a. Which is bigger: u or -31?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2582975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 5*i - 3*r + 17, -2*i = 5*r - 3. What is the least common multiple of 10 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747809636 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + w)*(-102 - 14*w**2 + 102) + (0*w**2 + 0*w**2 - w**2)*((-1 - w + 1)*(-4 - 1 + 4) - 3*w + w + 3*w) - 2*w**3 + 3*w**3 + 2*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.7189l in millilitres?\nAnswer: 856718.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(27)\/sqrt(3))\/(sqrt(189)\/sqrt(7)))**2*6 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11217737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -331.\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 0 - 5 - (-10 - 0 - -60).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 20, -5*x = u - 0*x + 20. Suppose 5*s = -v - u*v + 87, -3*s = -2*v - 60. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 + 817. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12481*y**2. Let k(w) = -11*w**2. What is c(k(q))?\nAnswer: 1510201*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 5 (c) 7\/9241 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.58866503 - 0.5646662. Let z = k - 0.024. Round z to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 + -85.041. Let z = 0.739 - t. Round z to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 781*x**2 + 2*x + 2*x + 1395.\nAnswer: 781*x**2 + 3*x + 1395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1412 - -1410. Let r be ((-3)\/(-2))\/((-15)\/80). Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10584 is divided by 529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108998 or 762981\/7?\nAnswer: 108998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.162 times 16?\nAnswer: 2.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -71200 and 3.\nAnswer: -71197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.8625 rounded to 1 dp?\nAnswer: -79.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 2. Let z(l) = 2*l - 4. Let c = -10 - -7. Let i be 2\/((-19)\/(-7) + -3). Let n(f) = c*z(f) + i*x(f). Give n(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 57\/6)\/(12\/(-16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(55\/20 - 3). Let v be 8\/(-5) - (-2)\/(-5). Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113444 divided by -28361\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -2\/5 (c) -3 (d) 2\/9 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -520158 - -1190969. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*s - 37*s - 9*s**2 + 5*s - 11*s**2 as c*s**2 + p*s + l and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/10)\/(-3*10\/(-45))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33102 + -1321?\nAnswer: -101023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -428 + 505. What is the remainder when 216 is divided by v?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 greater than or equal to 3\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0142501mm?\nAnswer: 0.0000000142501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t*t**5*t)*t**(1\/3))**38*(t\/(t**7\/t))\/t**(1\/3)*(t\/t**0)**(1\/11) assuming t is positive.\nAnswer: t**(-4771\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1881 = -3*o - g, -178 = o - 2*g + 456. Let q = -1663 + 1035. Is q greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l. Let i be -3 - (l + 1 + 2). Let r = i + 8. Solve 0 = 5*x - r*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/973 and 53\/10703.\nAnswer: 10703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40 and 15.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34484944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/22 and 139\/240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 12*k**2 + 18. Let s(d) = -17*d**2 + 16. Let z(i) = -3*i**2 + 3. Let b(q) = -2*s(q) + 11*z(q). Give 18*b(l) - y(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015355283 to the power of 1\/2, to the nearest integer?\nAnswer: 44893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 0*w - 3*w + (2*w - w - 3*w)*(-2 - 1 + 2) - w - w + 0*w)*(-2 + 0 + 0)*(3*w - 2*w + w) to the form y*w**2 + h*w + l and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1261027370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.15 (c) -0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-30)*(-56)\/80*6*1886\/(-161)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (195\/(-702))\/((-10)\/(-8))*-6. Let t*u**2 + 2\/3*u - 4\/3*u**4 + 0*u**3 - 2\/3*u**5 + 0 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 71\/3. Let b = 29.7 + -32. Let j = 2.6 + b. What is the third smallest value in 0.2, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -9, -23 in ascending order.\nAnswer: -23, -9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540.785645 milliseconds in weeks?\nAnswer: 0.0000025475953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 26413?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = -162079 + 162317 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/8 + 11\/44. What is the second derivative of -3*j**2 - 8*j + 2*j**s + 3*j**2 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 8*g**2 - 10*g - 105. Let r(k) = -11*k**3 + 82*k**2 + 99*k + 1098. Let o(t) = 21*q(t) + 2*r(t). Calculate o(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -23*v**3 + 757*v**2 + 848*v + 68 = 0?\nAnswer: -1, -2\/23, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2 (b) -12839 (c) -0.01 (d) 0.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from tueevuuutt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(16)\/sqrt(4)) + -1*sqrt(343).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2853 + 1022 = 3*a, -4*h - 5*a = -3651. Suppose 4*t + t - 1376 = -3*n, -2*n = 5*t - h. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18451, -147737, -498651, -1182007, -2308619, -3989301, -6334867?\nAnswer: -9456131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7bf3 - a?\nAnswer: 7be9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d + 45. Suppose -2*r + 18 = 5*c - 3*c, -18 = -2*r + c. Let w = d + r. Solve -11 = -w*g + 5*g + z, -g + 4*z - 19 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 96\/7, -0.45, -0.02, 5, -0.07?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 157423264*m. Let w(f) = 5*f. Determine h(w(q)).\nAnswer: 787116320*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 + 321. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/674 and 59\/6?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 45174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -5*v**3\/3 - 11415*v**2 - 26060445*v - 2166. Find s, given that x(s) = 0.\nAnswer: -2283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 3*d + 3*f, -2*d - f + 165 = 2*f. Suppose 27*m = 29*m - 20. What is the highest common divisor of d and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2176 - -1209. Let t = 565 - c. What are the prime factors of t?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/5))\/r)**(-18\/7)*(r*(r**0\/r)\/r)**(-17) assuming r is positive.\nAnswer: r**(559\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 51. What is the remainder when 156 is divided by v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -31123?\nAnswer: 31132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q - 4*q**2 - 1 + 10 + 2 - 3.\nAnswer: -4*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 115\/30 + (-5)\/(-30). Let a(q) = q**2 - 5*q + 4. Determine a(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3807*y**3 + 3794*y**3 + 3*y - 3*y.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3120)\/100*(-180)\/(-78).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 4, -52.\nAnswer: -52, -13, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - ((-4)\/(-26) + 1). Let s be (11\/(11\/1))\/(10*(-3)\/(-10)). Sort s, w, 0.3, -1\/2.\nAnswer: -1\/2, w, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 759, 1734, 3105, 4872, 7035, 9594?\nAnswer: 12549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/11340 and 46\/735?\nAnswer: 79380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119794 and 178.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268263*j**2*r**3 + 5*j**2*r**2 + 13336*j**2 + 2*j*r wrt r?\nAnswer: 1609578*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(15 + 190\/(-12)). Let m(n) be the first derivative of 7\/3*n**3 + 0*n - 1\/4*n**4 + 25 - g*n**2. Give m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)\/(1\/2). Suppose -6*a - 16 = -3*k - c*a, 0 = 4*k - 2*a - 38. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-3)\/((-18)\/(-6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjjjjjjjijj?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -264.\nAnswer: 29\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s + 40*s - 25*s - 15*s. Suppose -33 = -4*r - 5*v, -3*v - 62 = -5*r + 7. Let a(z) = z**2 - z. Calculate r*a(k) + 2*d(k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**4 + 4*y**4 - 5*y**4 - 2*y**4 + 3*y**4 + 0*y**4 + (y**2 + 2*y**3 - y**2)*(2*y - 4*y + y) + 0 + 0 - y**4 - y**4 + 0*y**4 + 2*y**4.\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 3?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.3, -2\/3, -4, 5\/6, 58 in decreasing order.\nAnswer: 58, 7.3, 5\/6, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6789735, -13579468, -20369195, -27158916, -33948631, -40738340?\nAnswer: -47528043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -0.3.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98*j**4 - 1136*j + 1136*j + (-15*j**2 - 2*j**2 - 5*j**2)*(-2*j**2 - 3*j**2 + 7*j**2).\nAnswer: 54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1208 divide 4932135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526316 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -48203\nAnswer: -4\/48203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5914 + 29270 + 7616 = -534*t for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0 - (20 - -37). Let y = n - -62. What is the lowest common multiple of 5 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 - 119.917. What is j rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11746 or -35236\/3?\nAnswer: -35236\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 22, -7, 3934 in decreasing order.\nAnswer: 3934, 22, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276405731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847*q - 524 + 263 + 874*q + 261.\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.489 (b) 0.5 (c) 2 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0\/1)\/1)\/1. Let z = y + 3. Suppose -32 = 202*q - 210*q. Solve -z*a - 3 = -q*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 27, 0.5.\nAnswer: -5, 0.5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 - 7*y**2 + 178*y - 4*y**3 - 162*y - 35. Calculate u(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1048 and 77\/283791588?\nAnswer: 567583176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 609625092 to the nearest integer?\nAnswer: 24691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*y - 345977 - 385399. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 53*m**4 - 2 - 17*m**4 - 2*m - 34*m**4 + 6*m**2 in the form f*m + k*m**2 + w*m**3 + s*m**4 + h and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**4\/12 - x**3 - 9*x**2\/2 + 2*x + 6. Let z(o) be the first derivative of y(o). Factor z(t).\nAnswer: -(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Let h(o) = 4*o**2 - o**g + 4*o**2. Let t(x) = 25*x**2 - 187*x - 22. Let p(n) = 5*n**2 - 34*n - 4. Let l(i) = -11*p(i) + 2*t(i). Give h(l(v)).\nAnswer: 175*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*j**3 + 6888962*d**3*j - 89745*d**2*j**3 - 825*d**2 wrt d?\nAnswer: 6*j**3 + 41333772*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35343275.\nAnswer: 5, 11, 128521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30 - 1\/(2\/(-4)). Let h = 18 - 15. Suppose h*w = -w + v. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (894\/(-11324))\/((-27)\/(-12)).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569 (base 12) in base 14?\nAnswer: 17a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479251 is divided by 208.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - s + 56 = 0, -42 = -0*d + 2*d + 4*s. Suppose -2*c + 31 = -2*i + c, -5*i + 5*c = 75. Let t = i - d. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(152) - sqrt(152)) + (sqrt(152) - (sqrt(152) + 1*(sqrt(152)*1 - sqrt(152)))))\/(sqrt(56)\/(1*sqrt(7)) - (sqrt(32) - sqrt(8))*4) + -2.\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(11) + -5*sqrt(11)*-1.\nAnswer: 5 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 18 = -3*j - 4, 4 = y. Let v = 5 - j. Sort v, -5, -1 in increasing order.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73844713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, -4\/3, 0.035 in decreasing order.\nAnswer: 2, 0.035, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 25 = 0, -2*t = -63*z + 68*z - 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104110431 (base 5) in base 6?\nAnswer: 13443411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 - -165. Let v = -24473\/6 - -4061. Find the common denominator of (1075\/(-180) - -2) + (-3)\/w and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((20\/15)\/(8\/12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122004762 divided by 3.\nAnswer: 40668254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 66*g**2 + 21*g. Let u(x) = 14*x**2. Determine h(u(b)).\nAnswer: 12936*b**4 + 294*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3468 (base 9) in base 12?\nAnswer: 15a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0512 times 0.1048?\nAnswer: 0.00536576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9480 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1323030 (base 4) to base 9\nAnswer: 11730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.1. Let p = 6 - 8. Let d = 0.17 + -0.67. Which is the closest to l? (a) p (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3812059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 669*m**4 - 12. Let t(l) = 6690*l**4 - 120. Let y(u) = 21*s(u) - 2*t(u). Differentiate y(c) wrt c.\nAnswer: 2676*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36637 divided by -1759?\nAnswer: 36637\/1759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4, -116 + 308 = 5*l + j. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-357)\/(-34)*50*14\/210*2\/1.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m - 5*m - 8*m + 2*m + 14*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k + 334*k - 12*k + (4*k - k - 2*k)*(-5 + 7 + 7).\nAnswer: 344*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2*c**3\/3 + 3*c**2 - 6*c + 3. Let r(a) = 6*a**2 - 17*a + 17. What is 17*q(x) + 6*r(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1363?\nAnswer: -1363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 4*h**7\/35 - h**5\/30 + h**4\/24 + 21*h**2 + 2. Find the third derivative of m(n) wrt n.\nAnswer: 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/13))**(-1)*r**(13\/5)\/((r*r\/(r*r*r**34*r))\/r))**(32\/9) assuming r is positive.\nAnswer: r**(79808\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n. Let r(x) = -43*x. Give d(r(s)).\nAnswer: 129*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*(-1 + sqrt(200)))**2 + sqrt(2)*2 + sqrt(2) + -2 + ((2 + sqrt(2))*4)**2.\nAnswer: -573*sqrt(2) + 3358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 660413 and 1872.\nAnswer: 95099472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-10)*30\/(-66). Let p = -61\/143 + i. Let z = -89 + 87. Which is the second biggest value? (a) z (b) -6 (c) p (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 7. Is 2 a factor of l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -23*t**3 - 11. Let h(y) = -11*y**3 - 6. Calculate -6*b(r) + 11*h(r).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38894379137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -46779 divided by 76?\nAnswer: -46779\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**3 - 33. Let j(x) = 2*x + x**3 + 3*x - 4 - 5*x. Calculate -33*j(n) + 4*p(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, -15, 0.\nAnswer: -15, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 454\/30 - 8\/60. Solve 5*i + 5*r - n = 0, 2*i = 6*i - 3*r - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**2 + 3005*u - 1476*u - 1529*u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(5 + -3 + 2). List the prime factors of k\/28 + (25832\/14)\/4.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((1 + (-44)\/60)*(-20)\/(-8))\/1. Put 4, b, -3, 4\/3, 1 in decreasing order.\nAnswer: 4, 4\/3, 1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78462, 78463, 78466, 78471, 78478?\nAnswer: 78487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -4. Let p be (-2)\/((-2)\/x*4). Let b(c) = 4*c + 3*c + p + 4 - 1. Let y(n) = -11*n - 6. Calculate -8*b(g) - 5*y(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1)*(2*t + 2*t - t) + 130 - 130 + 2*t + (2*t + 2*t - 6*t)*(1 + 2 - 1) - 2*t + 2*t - t + (-t + 2*t + t)*(1 + 1 - 4) - 3 + 3 + t + t - t + t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u**4 + 784*u**3 - 1666*u**2 - 2756*u - 336 = 0 for u.\nAnswer: -28, -1, -2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by (-2432)\/(-58) + 184\/2668.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -37*a. Let h(t) = 20*t - 96. Let s(k) = k - 4. Let p(f) = -h(f) + 24*s(f). Determine p(o(v)).\nAnswer: -148*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by (-32 - -25)\/(-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31112022133113 - 11?\nAnswer: -31112022133130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c + 1. Let j(x) = -23*x + 17. Let p(d) = j(d) - 4*l(d). Calculate p(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184006609*-0.4\nAnswer: -73602643.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/464 and -25\/638.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 20*i**3 - 7*i**3 - 2*i**3 - 4 + 4 + 3*i - 3*i - 2*i**3 + (-2*i - i + i)*(5*i**2 - i**2 - 2*i**2))*(14 - 14 + 2*i**2).\nAnswer: -60*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.145549659 to four decimal places.\nAnswer: -0.1455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 5. Let j(y) = 2*y**2 + 6*y - 4. Let k(d) = d**3 + d - 1. Let s(u) = -j(u) + k(u). Calculate s(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 4*f + 15, -4*f = -2*d + 6. Let q(z) = 44*z + 105. Is q(d) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4204241 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.55838+-0.0604\nAnswer: 0.49798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b**3\/3 + 67054*b**2\/3 - 28641292*b\/3 + 1078505274 = 0. Calculate b.\nAnswer: 233, 29799\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-87)\/(-18) + (-1)\/(-6). Suppose f = a*l + 2*f - 18, 0 = 4*f + 8. Suppose -l*c + 8*c = 144. What is the highest common factor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*q**2 - 3915*q**4 + 5 + 0 - 30*q**2 - 7 - 2 wrt q?\nAnswer: -93960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a72 (base 13) to base 9.\nAnswer: -8423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3276\/1547 - (-2)\/(-17). Let n(w) be the first derivative of 1 + 3\/4*w**4 - 3\/2*w**d + 9*w - 3*w**3. Factor n(j).\nAnswer: 3*(j - 3)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164793 divided by 166399?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 + 266*i\/13 + 264\/13.\nAnswer: 2*(i + 1)*(i + 132)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 66. Let i be x\/(-45) + (-3345)\/(-27). Suppose 950 - i = 2*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -x, a + 2 = 1. Sort 13, x, -5 in descending order.\nAnswer: 13, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*i + 4 + 58*i - 320*i + 21*i.\nAnswer: -598*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.833 and -42.\nAnswer: -50.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*l + 8*l**2 + 2 + 13*l**2 + 6*l**2.\nAnswer: 27*l**2 + 74*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9140\/(-5941))\/((-5)\/2)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-9))\/(18\/(-162)). Solve 12 = 3*c - a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 17 + 27 = 2*u, 0 = -3*o + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202110111101 (base 3) in base 2?\nAnswer: -101100101110100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9310.37 kilometers to nanometers.\nAnswer: 9310370000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 1 - 1)*(-2 + 0 + 3)*(135 - 52*p**2 - 135) to m*p + g*p**2 + q and give g.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 8*w - 5. Suppose -2*k = 5*u - 3*k - 132, -3*k = -5*u + 126. What is the remainder when u is divided by g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 48 - 8 = 0. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 215. Let p = 501 + j. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -47*f. Let z(j) = -805*j - 5. Let g(h) = 34*p(h) - 2*z(h). Let k(i) = 4*i + 3. Give 3*g(s) - 8*k(s).\nAnswer: 4*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - -1*sqrt(180))\/sqrt(9) + -4.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20301, 20248, 20189, 20118, 20029, 19916, 19773?\nAnswer: 19594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + 9. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -208 (b) -18 (c) -2.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14.29, -1\/7, -24, 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1525, 2067, 2609, 3151, 3693, 4235?\nAnswer: 4777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1262 - 439 + 191 - 287 + 205)*(-2*k + 4*k + k).\nAnswer: -4776*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -66 and 0.1963639?\nAnswer: 66.1963639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 165 + 193 = 4*n, -3*a + n = 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-995)\/597)\/(30\/4). Let v = 45.2 + -8.2. What is the smallest value in j, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -5, -14, -37, -80?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s**(2\/3)*s))*s*s*s*s*s**4 assuming s is positive.\nAnswer: s**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {p: 3, w: 2, c: 1, o: 10}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-42)*b*b)\/b)**(-9) assuming b is positive.\nAnswer: b**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2)*w)\/(w**(-2\/7)*w*w))\/(w**(3\/2)*w*w\/(w*w*w**(-5))*w))**(1\/34) assuming w is positive.\nAnswer: w**(-143\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*(-140)\/(-168)*(-9)\/15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4 = 2*x - 29*q + 15*q + 15*q, 4*x = -q - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 2*y**3 + 9*y**4 - 8*y**3 + 8*y - 10*y**3 + 2*y**3 - 4.\nAnswer: (y - 1)**2*(3*y - 2)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6318255 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.00879 + 0.09121. Is i != 144\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 170 - -2cad7?\nAnswer: 2cc47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 273*d**2 - 549*d + 4. Determine c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 126*s**2 - 288*s - 1056.\nAnswer: 3*(s - 4)*(s + 2)*(s + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*600\/5. Suppose -52 = -5*c - b, k = 6*c - c + 5*b. Solve -4*w + 2*q - 3*q = -c, -2*w - 2*q = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32161710 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v - 1\/4*v**4 - 1\/3*v**3 - 6 + v**2. Give g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.43 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114893668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1727586, -3455180, -5182778, -6910380, -8637986, -10365596?\nAnswer: -12093210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4121, -2\/29, -34, 2\/25, -1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*t + 137, 5*o + 0 = 10. Which is the smallest value? (a) t (b) -0.3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-1 + (-18)\/8). Suppose 32 = 2*m - 5*x - q, -2*x = -5*m + 165. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - q - 14*q + 18*q - 5*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 34. List the prime factors of i(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/14 - 2\/7. Suppose 0 = -238*q + 247*q - 54. Let p be -18*q\/9*o. What is p rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 18*k**2 - 16. Let w be t(-18). Let c be 9\/((-225)\/(-110)) - w\/(-4). Let p = -2.5 - -0.5. What is the closest to -2 in c, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -865488 divided by 5548.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2895 = 450*m + 129*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + -3 - (-5 + 2 + -1). What are the prime factors of (3*54)\/(r\/(-14))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*z = -1, 5*z - 15 = -3*t + 2*z. Suppose 0 = t*w - 11 - 13. Suppose -w = -2*r - 2*r. Put -1, r, 4 in decreasing order.\nAnswer: 4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*h = -6, h = 6*p - 2*p + 3. Suppose -2*t - 3*t - 100 = p. Let c be 26600005\/t - (-2)\/8. Round c to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(108)*-1)\/((sqrt(18) - sqrt(288))\/sqrt(2)))\/(((sqrt(88) + sqrt(88)*1)\/sqrt(2))\/(sqrt(44)\/(sqrt(4) - (sqrt(4)*2 + sqrt(4))))).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2*r**3\/3 + 25*r**2\/2 + 16*r + 6109. Determine g(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 4*q - 180. Let c be a(-12). Solve 0 = -23*s - c + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 2*p + 16, v + 14*p = 4*p + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56064241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2 - 44*p + 42*p + 3. Let d(k) = -8*k**2 + 92*k - 125. Let o be d(10). Let h be -3 + (-1 - -1)*-1. Let g(l) = 3*l - 2. Give h*g(m) + o*t(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h. Suppose 4*l - 5*d - 363 = h, -4*l + 4*d + 0*d = -360. List the prime factors of l.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -344, -517, -690, -863?\nAnswer: -1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469031720 divided by -2.\nAnswer: 234515860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13))**(1\/13)*((u*u\/(u**(-5\/4)\/u))\/u)**(23\/3) assuming u is positive.\nAnswer: u**(287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 43.58. Let k = -0.08 - f. Put 3\/4, k, -2 in increasing order.\nAnswer: -2, k, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*a = -3*p + 13, -4*p + a - 87 = 0. Let y be (-2)\/4*1 - p\/2. Round y to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2 = 3*n + 1, -4*n - 15336*p = -15340*p - 9 - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.151601 minus -3?\nAnswer: 1.848399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*j + 106591, 0*j + 5*j + 53285 = r. What is r rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26267 divided by 1?\nAnswer: -26267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3826 divided by -6?\nAnswer: -1913\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6503?\nAnswer: 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 8. Factor g*q - 22*q + 41*q**2 - 42*q**2.\nAnswer: -q*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/83349 and 93\/157780?\nAnswer: 38340540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 2. Suppose -g + 25 = -5*b, -5*g - b + 3*b + 10 = 0. Let h be (-6)\/(-1) + g + 0. What is d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 4. Suppose 6 = -3*d + 27. Let t be l(d). Suppose 3*y - 16 = -y. Put t, -1, y in decreasing order.\nAnswer: y, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 12:11 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 12:41 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -2978100?\nAnswer: 178686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2015, 2035, 2093, 2207, 2395, 2675?\nAnswer: 3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65018233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 1, 620, 6 in decreasing order.\nAnswer: 620, 143, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 163 or 47936\/293?\nAnswer: 47936\/293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2154 (base 6) to base 2.\nAnswer: -111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 9. Let z(b) = -b - 8. Let s be (6 + -2)*(-2 + 1). Let t(i) = s*z(i) + 3*h(i). Is t(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 109*v - 4005. Let l be t(40). Solve 0 = 55*z + 16*z - l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1041*w + 3. Let c(s) = 3286*s - 8. Let n(v) = -5*c(v) - 16*o(v). Let g(y) = 3*y**2. Give n(g(l)).\nAnswer: 678*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-55) + -1 + 0?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adddkaaadadedekaaa. Give prob of sequence ddka.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53920648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-5))\/1*149\/(306642\/7840).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/10)\/((-3)\/50). Suppose 115 = -2*h - y + 2*y, 3*y = 9. Let g = -6 - h. Calculate the greatest common divisor of x and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 6*q + 12 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 177 = 2*j, -3*j = -f - 0*f + 257. Let p = -78 - j. Solve -6*c + p*c - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3955 divided by 5?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0*h**3 + 0*h**5 + 1\/24*h**4 - 2*h**2 + 0*h - 1\/60*h**6 + 0. What is the second derivative of a(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**7\/490 - a**6\/140 - a**5\/140 + a**4\/28 - 165*a**2. Factor d(x).\nAnswer: 3*x*(x - 2)*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-9 + 10)) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 7*c + 2. Let a be f(-7). What is the nearest to a in 6, 3\/5, 3\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.60493mm in micrometers?\nAnswer: 82604.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5737.\nAnswer: 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 0.3, -0.1, 2, 33, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 26 + 48)*(2*h - 1 + 1)*(-4*h + 7*h + 2*h).\nAnswer: 740*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*f - 40, -22*f = 19*f - 42*f - 5*a + 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1911944425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*j = 25, 0 = 3*v - v - 3*j - 10. Let c(l) = 5*l**2. Let i = -2 + 1. Let d be c(i). Solve -v*u + 3*h + d = 0, -2*u = -4*u - 4*h + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*-1*sqrt(32).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 + 2*k. Let b(l) be the first derivative of -15*l**2 - 1274. Calculate f(b(x)).\nAnswer: -4500*x**2 - 60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-6*y**4 + 3*y**4 + 12*y**4).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:57 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23033031130 (base 4) to base 10.\nAnswer: 2945884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01578264327 rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 1. Let c(a) = 2*a**2 + a. Determine 3*c(l) - 2*p(l).\nAnswer: 2*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*x = 161364 - 16618. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**1))**(-21)*(z**(-1))**(-26\/9) assuming z is positive.\nAnswer: z**(215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -13\/14 (c) -0.024 (d) 2\/11 (e) -1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 496257 - 966257. What is w rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1134444 (base 5) to base 9\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241894 is divided by 479?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**9\/168 - i**6\/60 + i**5\/20 - 4*i**3\/3 + 25*i**2. Find the third derivative of o(b) wrt b.\nAnswer: -360*b**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 567*c - 158 + 10931 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 838484?\nAnswer: 4192420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2159449 is divided by 723.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 1725*k**2 - 17343*k - 56. Give p(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 1710?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2848 + 636 = 0. Let n = g + -631\/2. What is the nearest to 31 in 3, n, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2299 + -2304. Let g(s) = 5*s**2 + 2*s. Let m(t) = -5*t**2 + 0*t**2 + 204*t - 207*t. What is a*g(w) - 4*m(w)?\nAnswer: -5*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let y = -16 - -8. Let o = y - -5. Put n, 1, o in decreasing order.\nAnswer: n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19 + 14 + 3*k**3 + 0*k**3 wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 263174.039.\nAnswer: 263173.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d + 7 + 2 - 2 + 0. Is o(7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60502, -60478, -60442, -60388, -60310, -60202?\n\"Answer: v**3 + 17*v - 60520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*u**2 + 4*u**2 - 14*u**2)*(u + 4 - 4 + (1 + 0 - 2)*(u + u + 0*u) + 1 - 1 - 2*u)*(-3*u + 2*u - u) to m*u**3 + z*u + l*u**2 + c*u**4 + n and give c.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -53*m + 70*m. Let b be ((-384)\/(-36) + -10)\/(m\/93). Solve -b*g - 8 = -35*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54680642959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-10 + 5) - 954*-2. What is the greatest common factor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -79827217 and -79827217 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v - 4 = -28*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 134*o - 4459. Let l be a(-63). Calculate the greatest common factor of l and 5740.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s + 0 + 1\/2*s**3 - s**2. What is r(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -112. Suppose 8*x - 3*x = u. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29a73 - 3?\nAnswer: 29a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*v + 118*v - 580*v + 54*v - 3*v**2 to y*v + c + n*v**2 and give y.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*h - q - 2, -3*q - 6 = 2*h. Let p be (-483)\/(-1610)*(-10)\/6. Sort -5, h, p in decreasing order.\nAnswer: h, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 21*x**2 - 193*x - 2244. Determine f(-8).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*w + 49*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1)\/d*d)\/(d**(2\/13)\/d))\/(d**(-2))**(-9)*(((d\/(d*d*d\/(d*d\/(d\/((d\/d**(-3\/13)*d*d)\/d)))*d))\/d)\/((d*d**1\/d)\/d))**(15\/2) assuming d is positive.\nAnswer: d**(-298\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 2\/7*p - 10\/21*p**3 - 4 - 1\/7*p**2 - 3\/14*p**4. Factor a(g).\nAnswer: -2*(g + 1)**2*(3*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzzyzzzzzzz. What is prob of sequence yzyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - ((1 - -2) + -4)) + (-5 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2064, 48 in descending order.\nAnswer: 2064, 48, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tteeeeeettttttttett. What is prob of sequence tt?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.7 - -3.3. Let a = d + -0.6. Let k = -3.3 + 0.3. What is the nearest to a in k, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(3 + 1 - 6 + (3 + 0 - 1)*(0 + 1 + 0) + 0 + 0 - 1 + 2 - 3 - 1)*(-l + 1 - 1).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28d9 + de3?\nAnswer: 37cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -58. Let j be 9\/(y - 4 - -3 - 1). Solve -j = -f - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*d + 206 = -0*g, 8 = -4*d. Let b = -79 - g. Suppose 25*j - 1165 = b*j. What are the prime factors of j?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 506, -17, -1297 in increasing order.\nAnswer: -1297, -17, -3, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihhhiiiiiiiiiiiihiii. Give prob of picking 2 i and 1 h.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 3*u + 14. Let h be y(-6). Let g be 3\/(-6) - 14\/h. Suppose -g*j + 1 = 4*l, 2*j + 1 - 3 = -4*l. Let p(x) = 9*x**2 + x + 1. What is p(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 24 = 8*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/10)\/(1 + -7). Let m = -502.3 + -57.7. Let t = m - -560. What is the nearest to -7 in -1, b, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (550\/19140)\/((-9)\/180*25).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o + 0*o - 2*o**2 - o - 3. Let k(w) = 2*w**2 - 3*w + 3. Suppose -l + 5 = 1, 3*l = -2*r + 16. Give r*g(c) + 3*k(c).\nAnswer: 2*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/(-180))\/((-1)\/(-2))*1. Let b(q) be the first derivative of 0*q + a*q**2 - 1\/12*q**4 + 1\/9*q**3 + 2. Factor b(k).\nAnswer: -k*(k - 2)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1294*w = -1273*w. Factor -1\/2*p**2 + w + 0*p - 1\/4*p**4 - 3\/4*p**3.\nAnswer: -p**2*(p + 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -196 or -6124?\nAnswer: -6124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 93 = -5*r. Let i = -108 + 131. Suppose u = -3*z + i, 5*u - r = -3*z + 2*z. Let l(m) = -m**2 + 4*m + 3. Give l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 0 - (-47 + 26).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*t = 2*t - 2639, 2*m - 1333 = 5*t. Solve 0 = m*i - 653*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 120*r**2 + 9832*r - 659. Calculate n(-82).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-124)\/(-44) + 4\/22. Let t(q) = -q - 3 + p. Let v(z) = 2*z. What is v(t(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.17235343 + 1117.82221657. Let l = -1119 + y. Round l to 4 dps.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllillllllollll. What is prob of picking 1 o and 1 i?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-2 - (-171)\/6). Suppose 4*z - 5*z = -u. Suppose -z - 9 = -2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/18)\/h*h**(-2\/5)\/h*h)\/(h**(4\/11))**(-45) assuming h is positive.\nAnswer: h**(15749\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**6 - 8*h**5\/5 - 2*h**4 + 4*h**3 + h**2 - 4*h - 4. Find j such that y(j) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78483 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20963394 times 0.3?\nAnswer: -6289018.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 206010395387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 67\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 8:28 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -q + 2 + 32, 0 = 4*q - 8. Suppose 4 = a, -a = 5*p + 3*a - 46. What is the smallest common multiple of l and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 + -130. Let q be (3\/9)\/(1\/3597). Suppose -3*y = -l*y + q. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25109, -25138, -25185, -25250, -25333?\n\"Answer: -9*l**2 - 2*l - 25098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.8 + 462.8. Let h = j + -438.0001108. Round h to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(3888))*-3*-4 - (-1 + ((sqrt(3888) + 0 - sqrt(3888) - sqrt(3888)) + -5 + sqrt(3888) - (sqrt(3888)*2*-2 + sqrt(3888)))))**2.\nAnswer: -27216*sqrt(3) + 15431508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 8*o = -20, -70*o = 5*m - 75*o - 65 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(7\/4)\/(r**(10\/9)\/r) assuming r is positive.\nAnswer: r**(59\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - v - 71. Give o(0).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let s = 1018 - 1013. Suppose n - s = t, 3*t = y*n - 15 + 2. Solve q = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s + 8 - 26 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2 + -3.19954. What is t rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - -107. Let i be (-2)\/22*-1*-1. Sort 3, b, i in increasing order.\nAnswer: b, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -0.7, -6\/13, -0.2, 5, 0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000581306 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56232 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -3. Suppose -2*l + 7*l = 600. Calculate the highest common divisor of l and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*j + 3*j - 10, -r = 5*j + 30. Let c = -9 + 8.6. Let z = 11 - 9. What is the biggest value in z, r, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (sqrt(99))**2.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 7*b + 3. Let u be h(4). Let z be 30\/20 - (-31)\/(-2). Let j = u + z. Sort -4, 2, j in decreasing order.\nAnswer: 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 14*s**3\/3 - 17*s**2\/2 - 11*s. Is c(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4418, -8815, -13210, -17603?\n\"Answer: n**2 - 4400*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-686)\/784)\/(280\/32).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4, 1234 in ascending order.\nAnswer: -4, 4, 5, 1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 978888 and 9528.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 34*s + 178. Let l be u(-5). Is l > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -141508, -283220, -424934, -566650?\n\"Answer: -l**2 - 141709*l + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -915, -4980, -11753, -21234, -33423, -48320?\n\"Answer: -1354*q**2 - 3*q + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = z. Suppose 5*f + y = 121, 120 = -0*f + z*f - 5*y. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Let t = 6 + -3. Is t at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-7 - -12 - (-2 + 6)). Let p(c) = 4*c**2 + 14*c - 36*c + 11*c + c**v + c**3. Let t(m) = m**3 + 4*m**2 - 10*m. Determine -4*p(z) + 5*t(z).\nAnswer: z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.4, 1\/6, 0.2, -5, 2\/299 in decreasing order.\nAnswer: 0.4, 0.2, 1\/6, 2\/299, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8979 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 - 8?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 2*n**2 + 3*n - 4. Let r be a(-3). Suppose 0 = -7*q + 160 + 358. Let u = q - r. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.1, 73, -4, 2722?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*99\/5390)\/(-3 - (-45)\/21).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -3\/28, -3, -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 44, 55, 66, 77?\n\"Answer: 11*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 49582204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*o + 15, -o + 2 = -4*o - n. Let b = -115 + 44. Let y = 74 + b. Solve -o = -2*v + y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -6*k - 29*k. Calculate the remainder when 896 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 3817033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4199 divide 659776273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7127 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7 + 4 + 0 - 6*x + 5. Let a be s(-4). Suppose -4 = 2*g, a = -2*u + 4*g + 196. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/12 - (-257)\/2. Suppose -154 = -2*h + 5*z, 5*h - 233 - k = z. Does 18 divide ((-240)\/h)\/((-2)\/162*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 7*a**2 - 7*a - 4. Let v be s(4). Let j(z) = 6*z**2 - 7*z + 15. Is j(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 x when three letters picked without replacement from kkxxkyx?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -5, 3, 2, 1484, 5, 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32.6326, 0.3, 7, -1\/68.\nAnswer: -1\/68, 0.3, 7, 32.6326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 130\/15 - (-2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3899*d - 216866 - 122086 + 36148 = 554*d for d.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5961*q - 6127*q + 63 = -1099 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14502, -28841, -43180?\nAnswer: -57519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5706.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3592 - 2384. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73935 by 14787.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3184372*c**2 + 3*c - 3*c.\nAnswer: 3184372*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4.35, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -344*a**2 - 22*a. Let y(u) = -4*u. Calculate y(l(v)).\nAnswer: 1376*v**2 + 88*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-1002)\/(-78) - 4\/(-26). Solve -2*t - 30 = -i*o + 3*o, 0 = t + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*k - 7, 4*d = d - 3. Let l be k*(2 - 32\/12). Solve 18 = -5*z - t, t - l = 2*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 10*z - 2. Determine i(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -4?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 266 = 4*q + 260, 0 = -3*q + 5*d - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(-3 - 223\/(-74)). Suppose 0 = j - 3*p - o, 4*j + 3*p - 7*p - 108 = 0. Suppose -3*z + 67 = j. Solve -l - z = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -344*j**2. Let l(q) = -20*q**2. Determine n(l(o)).\nAnswer: -137600*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*-5 - (1 + sqrt(1900)).\nAnswer: -15*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 + 148790*u**2\/9 - 73868314*u\/9 + 1015311778.\nAnswer: 2*(u - 247)**2*(u + 74889)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*u - 16, -31*u = -30*u + 3*q - 15. Let y(w) = w - 7. Let b(n) = -n - 1. Give u*b(g) + y(g).\nAnswer: -2*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Suppose 3*t = 4*b - 2*t - 35, 5*b - 5*t = 40. Let k(g) = -6*g**2 - 14. Let p(r) = -2*r**2 - 5. Let c(s) = b*k(s) - 14*p(s). Determine c(w(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}