diff --git "a/data/dm_maths/full_data_1/11252_11255.jsonl" "b/data/dm_maths/full_data_1/11252_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11252_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 6*o = 11*o - m + 2, 4*m - 10 = 8*o - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 10276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 - 113. Let x = 8 - y. Suppose 0*w - x*w + w = 0. Solve 3*o + 3*u = -0*u, w = o - 3*u + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -88, -94, -100, -106?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.3159084 and -1.\nAnswer: -5.3159084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 58, 116, 194, 298, 434, 608, 826?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010133 + 3030393 + 5*k**2 - 1010133 - 1010127 + 4*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*u - 28, 4*x - 4*u - 28 = -0*x. Suppose 9*n = 13*n - 80. Let q(p) = 4 + n*p - 10*p - x*p. Let a(v) = -v - 5. What is 2*a(j) + 3*q(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 4. Let j(m) be the second derivative of -m**4\/2 + 19*m + 750. Let k(o) = -24*o**2. Calculate w*k(s) + 9*j(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(80) + 4) + sqrt(80) + -3 + sqrt(80) + 1 + sqrt(80) - 1*((sqrt(80) - 1*sqrt(80))*6 + 5))**2.\nAnswer: 184*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/19980 and -149\/3996.\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 7:34 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (1 - 2)*1144. Suppose -774 = 3*z + r. What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146*a*p + 123158*a - 403*p wrt p.\nAnswer: 146*a - 403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 2 + 2 - 7*o**2 + 13*o**2 - 5*o**2 + (0*o**2 + o**2 + 3*o**2)*(-4 + 5 - 2) + (-o**2 - o**2 + 3*o**2)*(5 + 8 + 1) as a*o**2 + q*o + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + 44 + 7 + -21.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*c + 3*w, 80 = 4*c - 0*c - 5*w. Calculate the remainder when 59 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1483, 5053, 11015, 19369?\n\"Answer: 1196*q**2 - 18*q + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 58, 0, 308, 4, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 9) to base 12.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/12)\/(-4*(-20)\/(-240))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*k + 46 = 0, 30 = -3*v - 100*k + 93*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26622 and 210222?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4936*a**2 - 2287*a**2 + 7277*a**2.\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 f when three letters picked without replacement from {d: 1, z: 5, n: 1, i: 3, f: 2, s: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(-46 + 5 + 7)*(2*c - 3*c + 0*c) in the form m + n*c and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 10:43 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -3, -290 in increasing order.\nAnswer: -290, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g + 101. What is b(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.151\nAnswer: -0.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Which is the nearest to 3? (a) i (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26163 rounded to three dps?\nAnswer: 0.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -33 in increasing order.\nAnswer: -33, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 217851877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 68*t**2 - t + 17. Give p(68).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*q**4 + 3 + (2*q**2 - q + q)*(-3*q**2 - 2*q**2 + 2*q**2).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28072125772.6897 + 464418.3103. Let g = 28072590047.00000093 - u. Let w = g + 144. What is w rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66 and 0.2.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 16 - 14 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716 = -14*y + 1020. Suppose -y = -4*t - 4*f, 3*f = 5*t - 7*t + 65. Calculate the greatest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.91 + 0.1. What is j rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46941*-1.616.\nAnswer: 75856.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42851 is divided by 4532?\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -q + 2935, -2*b - 214 + 1388 = -q. Let m(g) = g - 1. Let a be m(1). Suppose a = 5*l + 117 - b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/25*0)\/1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -35 + 5\/((-5)\/(-2)). Let n = 52 + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 4*j**5\/5 + 11*j**4\/12 - j**3\/6 + 480*j. Let y(u) = u**3 + u**2. What is -2*n(t) + 22*y(t)?\nAnswer: -10*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -23 - (-1 + 0 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 120881*k**3 + 2*k**2 - 43*k + 40. Let y be p(5). What is y rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1905\/(-6)*(-3 - -1). Let n = a + -551. What is the greatest common factor of 308 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*5\/9*(-144)\/96. Sort -2\/19, v, -2, 24 in increasing order.\nAnswer: -2, -2\/19, v, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 19094 - 50284. Let o = 312245\/27 - u. Find the common denominator of 71\/36 and o.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-30) + 5005\/42900. Let h(s) = 2*s - 1. Let r be h(3). Put -2, p, r in decreasing order.\nAnswer: r, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23484\/60 - 9\/(-15).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 2. Let v(s) = 2*s. Let k(o) = t(o) - 5*v(o). Let f = -4 + 1. Let b(d) = 4*d - 1. Give f*k(a) - 7*b(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 835447.5 kilograms?\nAnswer: 835447500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o + 18 = 4*z, 3*o = -2*z. Suppose -5 = z*v + 4. Is (v - -2)\/(2\/(-68)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10*t**2 - 2 + 1)*(-13*t - 20*t**2 + 13*t).\nAnswer: -200*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6991 is divided by 1665.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17 + 6*2\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18649, 35922, 53195?\n\"Answer: 17273*l + 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88a (base 11) to base 9.\nAnswer: -1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/2 - 7*n**2 - 29*n\/2 + 22 = 0.\nAnswer: -11, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*v - 78705, -2*g = -3*v - 5849 + 53087. What is v rounded to the nearest 100?\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**2 + 3*w - 3. Let o be a(2). Suppose -4*j - 2*y + 9 = -o, 0 = 5*j + y - 53. Suppose j - 3 = x. What is the remainder when 14 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-6) + 7)\/((-75)\/10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 16*g + 5. Let b = -715 - -707. Let v be y(b). Solve -2*p + 5*w - 16 = 0, p = -v*w + 4*w - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 0 - 3\/(-21). Let g = -65 + 133\/2. Which is the nearest to -0.2? (a) -2 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 2*a + 2*a + (-a**2 + a**2 - a**2)*(3*a - 3*a + 2*a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32576419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11\/4, -15, 0, -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*j**4 - 3*j**3 + 223*j**2 wrt j.\nAnswer: 696*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s. Let u(q) be the first derivative of -9*q**2\/2 - 6*q - 357. Determine v(u(h)).\nAnswer: -18*h - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3322, -0.2, 1\/3, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 30.9. Let k = 2.1 + s. Let x be 2\/12 + (-19)\/456. Put -3, x, 2\/9, k in ascending order.\nAnswer: -3, x, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388 and 48985?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 43. Suppose f = 36*p - 40*p - 17, 0 = -p - 4*f - 23. Let l(z) = -2*z - 22. Give p*v(h) + 5*l(h).\nAnswer: -h + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - 23 - 9. Let o be 7 - -4*(3 + i). Suppose -o*y + 2*q + 20 = 0, 2*y - 2*q = -4*q. Solve -h + y = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from iivdg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r**2 + r**2 - r**2)*(0*r - 4*r - r) - r**2 - r**3 + r**2)*(-3*r + 5*r - r).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16150 and 110466?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020001012222 (base 3) in base 9?\nAnswer: 2201188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 109*r**2 + 23*r - 1. Suppose -3*f = 2*j + 13, -36*j + 32*j + 4 = 0. Is v(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h - 7. Let g be j(8). Let a = g - 10. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16135?\nAnswer: 5, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 117.1. What is the third smallest value in t, -4, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5 + 2*g + 0*g**2 + 15 + g**3 - 4*g**2 - 2*g**3. Let s be x(-4). Let c = -1 + 1. Solve -s*t + c = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 2*f**2)*(-f - 4*f + f) + (4 + 0 - 3)*(-f**3 - 1 + 1).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -28831 at least as big as -28853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 148295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w**4 + 73510*w**3 - 834835*w**2 + 1006910*w - 245600 = 0.\nAnswer: -4912, 1\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i - 16. What is the remainder when c(14) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from xxgeggeeggexxx.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2*93\/(-186)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*sqrt(39)*2)\/(sqrt(24)\/sqrt(512)) + -3.\nAnswer: -96*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/30*34\/1275.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g + 2. Let d be x(2). Let c(o) = -o**d + 0*o - 4 - 5*o + 2*o + 6. Let i be (-6)\/(-33) + 70\/(-22). What is c(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 21 = 2*n, n - 38*b = -34*b + 9. Put n, 1, 19 in ascending order.\nAnswer: n, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:23 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/764 and 48\/17?\nAnswer: 12988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546061, 1092118, 1638173, 2184226, 2730277, 3276326, 3822373?\nAnswer: 4368418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 5*n**2 + 1. Let f be r(-5). Let w be -1 - f*(2 - 3). Let m = 3 - w. Solve -m*h = -2*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -123, 3 in increasing order.\nAnswer: -123, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s**2 - 84*s - 145. Give t(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -40, -138, -302, -544, -876?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 15*f**2 - 16*f + 5. Let g be u(-16). What is the biggest value in g, -2\/15, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c - 65489471 - 249180529. Round c to the nearest one hundred thousand.\nAnswer: 18500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11650825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 4163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(-141 + 401 + 1269*f - 142 - 123) to the form r + j*f and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**3 - 91677*y**2 + 8*y - 338319591 wrt y.\nAnswer: -6*y**2 - 183354*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0577 - 4.9423. Which is the nearest to 0.1? (a) l (b) -0.2 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159\/106*(-52970)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 5942365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287290, -574456, -861384, -1147954, -1434046?\nAnswer: -1719540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*s - 3*i + 6, -s - 5*i - 25 = 0. Let o = 8 + s. Let a(v) = -64*v + 642. Let x be a(10). Solve -d - 3*q + 2 = 0, q - 2 = -x*d - o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**7\/14 + 7*g**5\/4 + 42*g**3 - 88*g. What is the second derivative of s(r) wrt r?\nAnswer: -60*r**3 + 210*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {p: 3, g: 1, q: 1, b: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1096*v + 3593. What are the prime factors of r(38)?\nAnswer: 7, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.5, 3, -25, 10, 11, -3, -0.02?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534 (base 8) in base 4?\nAnswer: -31130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z = 10*z - 128*z + 1268 - 5250 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28321 + 28262. Which is the nearest to -1? (a) 0.2 (b) -1\/2 (c) v (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 2*c - 1. Let g be k(-2). Let d(q) = 0*q**3 + 113 + q**g + 0*q**2 + q**2. Is d(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q)\/q)\/(q\/q**(3\/13)*q) assuming q is positive.\nAnswer: q**(-101\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 205 = -41. Calculate the common denominator of -41\/20 and b\/(-8) - (-12)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v**2. Let z(j) = -5*j**3 + 8*j**2 + 38*j. Calculate 6*x(a) + z(a).\nAnswer: a**3 + 2*a**2 + 38*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**5\/20 + s**4\/2 - s**3 + 3*s**2 + s. Let z = -43 - -48. Let y be m(z). Solve 0 = -r - 1, -y = -f - r + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (1 - (1 - -1)). Suppose 2*u - 2 = 4*u. Let d be (-1 + u)*3\/(-21). Does d = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 93\/21 - 12\/28. Suppose 5*x = -25, -7*f - z*x = -5*f - 98. What are the prime factors of f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/11 + 26*r**2\/11 + 19*r + 520\/11 = 0.\nAnswer: -13, -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 259*o - 305*o - 368 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/((-17)\/323*2\/6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 2*i**3\/3 + 5*i**2\/2 - i. Let w be f(-4). Let z = w + 18. Calculate the remainder when 12 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2 - 9. Let l(o) = o**2. Calculate l(t(c)).\nAnswer: 36*c**4 + 108*c**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3500778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 55 from 3.56.\nAnswer: -51.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 118709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 28*z**3 + z**2 - 5*z + 2. Give k(2).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -608 divided by -32\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 2*g + 2. Let h(y) = 7*y - 34. Let j be h(5). Let r(z) = -z**2 - z + 1. Calculate j*x(f) - 2*r(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 141084967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -167, -171, -177, -185, -195, -207?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + w. Let v(z) be the second derivative of z**4\/2 + 2*z**3\/3 - z**2 - 42*z. Suppose 2*o = -o - 12. Determine o*k(q) + v(q).\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 30. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 11. What is the smallest common multiple of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 10, 11, -4, -41, -106, -205?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.149663mg to nanograms.\nAnswer: 8149663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 6*x**2 + 6*x + 2. Let m be c(-4). Suppose -5*f + m*f = 4*w + 18, 2*w = -4. Sort f, -1, 4 in descending order.\nAnswer: 4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 10. Let i be u\/((-39)\/36 - -1). What are the prime factors of (i\/20)\/((-6)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/((153\/(-102)*(-6)\/(-63))\/5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 7:04 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -2 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-1064)\/(-1102)*(-1)\/(-4))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**2. Let y(j) = -46*j - 17. Let w(i) = -i**2 - 10*i - 7. Let r be w(-6). Let d(m) = -16*m - 6. Let s(u) = r*d(u) - 6*y(u). Give f(s(h)).\nAnswer: -128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**2. Let q(b) be the second derivative of -b**4\/6 + b**3 + 5*b - 10. Determine q(w(t)).\nAnswer: -162*t**4 - 54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*v + 1 + 4 + 199*v - 99*v in the form d + r*v and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*f + 4*s + 21, -3*f + 4*s = -10. Sort -4, f, 3, 5.\nAnswer: -4, f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**2 - 199*b - 24. Let j be c(-33). Solve 4*i = f - 8, -f = 3*i + 2*f - j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 - (-2)\/(-10). Suppose -15 = -6*z + 3*z. Suppose k - 10 = -c + 3, -3*k - z*c + 45 = 0. Solve i = -u - u - k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i = -5*f + 12, 10 = 5*f. Let q(p) = p. Let r be q(i). Let j = -54.4 + 57.4. Which is the closest to 2? (a) -1\/4 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**5\/3 - 2252*k**4\/3 - 290056*k**3\/3 + 7563400*k**2\/3 - 48822004*k\/3 + 41550916\/3 = 0.\nAnswer: -293, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(847) + (2*(sqrt(847) + -1))**2 - -2*(sqrt(847)*-2 - sqrt(847))**2).\nAnswer: -308*sqrt(7) + 74552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11121 + -30842. Let b = k + 34121. Suppose 0 = -3*r - 0*r + b. What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 e when four letters picked without replacement from {e: 1, a: 1, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 29 - 3 = 0. Let a = -9 - j. Let n(m) = -m**2 + 3*m. Calculate n(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4271 + 4259 - 332*l - l**2 + 2*l**3 - 12784 + 4260 to the form d + u*l**2 + s*l + p*l**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -9 + (5 - (4 - 19) - 16).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 14*b + 21. Let v be d(12). Let p(w) = w**2 - 2*w. Determine p(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 55.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 3, l: 1, m: 3, q: 1}. What is prob of sequence dqm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.57 - -0.13. Let w = o + -0.6964. Round w to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - k + 3*k. Let y(r) be the third derivative of 0*r**4 + 3 + 0*r**3 + 0*r - 1\/60*r**5 - r**2. Calculate y(w(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + sqrt(1088) - (-4*(0 + sqrt(2057)) - sqrt(2057)))**2.\nAnswer: -504*sqrt(17) + 67489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10\/11, -20\/193 in descending order.\nAnswer: 5, -20\/193, -10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 210 = 4*p, 5*p = 3*p - 5*k - 324 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y + y + (-14*y - 4*y + 4*y)*(-2 + 4 + 0))*(y + y - 4*y).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f + 123 - 59 - 63. What is y(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -784, -1810, -3266, -5158, -7492, -10274, -13510?\nAnswer: -17206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, w: 5, v: 2}. Give prob of picking 1 k and 1 v.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 9*n + 3. What is l(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91715 and 594529.\nAnswer: 50534965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 9*j - 6. Suppose 4*w = 7*w - 30. Let i be t(w). Find the first derivative of h - 8 + i + 2*h wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -8*w - 80. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -5*g**4\/24 + 27*g**2 + 4. Let k(c) = -107*c. Give k(q(m)).\nAnswer: 535*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -903351.\nAnswer: 2\/903351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or 2\/11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*p**4 - 4*a**2*p*w - 2*a**2*w - 102*a*p**4*w - p**4 - 8*p**2 - 11*p wrt p.\nAnswer: 48*a**2*p - 2448*a*p*w - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 393 and 0.0461776?\nAnswer: 18.1477968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1653.000717 + -1653. Round n to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3546 divided by -394\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190)*3*-3)\/sqrt(10) - (sqrt(19)*-2 + 0)**2*6.\nAnswer: -456 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -3*g**5\/10 - 5*g**4\/12 - 795*g**2\/2 - 566*g - 2. What is the first derivative of u(s) wrt s?\nAnswer: -18*s**2 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15623 + 0.05623. Which is the fourth smallest value? (a) 558 (b) 1 (c) -2\/11 (d) -2 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-80)*(-80)\/690*-1\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2506290 to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*h**2 - 62*h + 26154.\nAnswer: -106*h - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9267 (base 12) in base 16?\nAnswer: -3e2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 922*-74981.\nAnswer: -69132482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204122, 204092, 204014, 203864, 203618?\nAnswer: 203252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -31) + 97 + (1 - -4 - 57\/(-19))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzs when three letters picked without replacement from skkzzkszzkzzkzk.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -432 - -1303\/3. What is the closest to r in 0.2, 1, 0, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2866 + -2187. Calculate the remainder when i is divided by 216.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 4*i**2 - 3*i - 4. Let n be s(-6). Let l = 249 - n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {z: 3, m: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/60*(-392)\/(-147).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 36239.\nAnswer: 144956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 294\/378*(-3)\/6*(-8)\/14?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/24)\/(2\/(-6)). Suppose 2*z - r*k + 0*k = 12, -z + 4*k + 12 = 0. Let j = -273 - -267. Sort z, -4, j in decreasing order.\nAnswer: z, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5, 0 in descending order.\nAnswer: 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 7*h = -b + 176, -2*b + h = -324. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h + t = 0, 5*t = 0. Suppose 0 = -h*q + q - 15. What is the lowest common multiple of q and 27*(2\/(-10)*-3 - (-341)\/465)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70232037*i**3 - 169145398*i**2.\nAnswer: 421392222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 4*m = -50, 4*w + 6*m + 6*m + 40 = 17*m - 9*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-4)\/((-28)\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w = 3*z + 124, w = 5. Let o = z + 25. What is the units digit of (-562)\/o + (-2)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**3\/6 - 2*n**2 + n - 1. Determine q(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o - 293 = 23 + 34 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c5 (base 16) to base 7.\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 23312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -108*m**2 - 4*m - 1. Let f be h(-1). Let r = 104 + f. Let s be 3 - (r + 5 + -3)*1. Solve -4*x = -s - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(29\/(-7) - -4). Sort t, -2, 5 in descending order.\nAnswer: t, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23322032 (base 5) to base 16\nAnswer: 34401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 2*u + u)*(-6 + 9 + 26) to x*u + t and give x.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ooooioototoott.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/660 - 3*v**4\/44 + 1585*v**2. Factor h(y).\nAnswer: 2*y*(y - 3)*(y + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0 (b) 4 (c) 5 (d) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from zjjjjqzqvjzj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/5 - 934*w**3\/5 + 109506*w**2\/5 - 106714*w\/5 - 217156\/5 = 0?\nAnswer: -1, 2, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22691, 22644, 22599, 22556?\n\"Answer: h**2 - 50*h + 22740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 + 6230\/(-245))*2\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 15 = 5*s, 0 = 146*l - 150*l + 3*s - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = -26. Suppose 13 + 11 = 3*h + 2*z, -2*z = -4*h + 32. Suppose 0 = -2*m - 5*b + h, 0 = -6*m + 5*m - 2*b + 2. Which is greater: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 18\/(-5))\/(11886\/(-630) - -19).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 39964 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((406 + 441 - 743)*(5 - 4*s**2 - 5) + (5*s - 4*s - 3*s)*(0*s - 3*s + s))*(-s - 3*s + 3*s).\nAnswer: 412*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (16 - 7 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f**2 - 5*f + 5. Let l be (14 - -2)\/2*(-16)\/(-64). Let o(g) = 6*g - 10 - 10 + 8*g**l + 24 - 10. Determine 5*o(k) + 6*u(k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*a**2*u**2 - 298*a**2*u - a*u**2 - 5*a*u + 1798*u**2 + u wrt u.\nAnswer: -22*a**2 - 2*a + 3596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 16*v**2 - 2*v + 18. Let x be l(16). Let p be 4 - (1 + (-2 - x)). What is p rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/5 and -145\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/(-9)*3\/(-19). Let m = -153\/133 - k. Let z = -9 - -12. Which is the biggest value? (a) 2 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-33)\/(-42) - 6\/21)*-1. Let v = d - -7\/6. What is the third biggest value in v, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124562051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8326754, -8326756, -8326758, -8326760?\nAnswer: -8326762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274138473 and 2814.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 5. Let i(h) = 4*h - 6. Let o(k) = -5*i(k) + 6*p(k). Let l(w) = w**2 - 6*w. What is o(l(z))?\nAnswer: -2*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**3\/6 - 3*y**2 - 2*y. Let x be t(-6). Suppose 3*g - 2*c = g, x = 2*g + 4*c - 6. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4 and -91\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -693005\/166 or -4174?\nAnswer: -4174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)\/(j**(-2)*j))**(2\/31))**(-18\/7) assuming j is positive.\nAnswer: j**(36\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-4)\/(-14) - (-24)\/112). Suppose b + 735 = m*b. Does 35 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 12*r + 9. What is s(8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/((-2320)\/32)*25*(-4)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11*k**2 + 23*k - 23*k)*(5*k - 3*k + 6*k).\nAnswer: -88*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 4912*i - 183109. What is r(-37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*(16\/14 + -2). Suppose -q*m + 14 = -5*m. Let i be 8\/14*m\/12. Which is the third biggest value? (a) i (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 12. Let q(t) = 2*t - 23. What is -4*q(g) - 7*w(g)?\nAnswer: -g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 255 - 255. Suppose 0*s = 4*n - 3*s - 3, h = 5*s - 15. Let z be (-2)\/5 - (-32)\/30. What is the third biggest value in n, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azeyy. Give prob of sequence az.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987684 is divided by 684.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 99*h - 2. Let c(m) = 2*m. Give c(f(q)).\nAnswer: -4*q**2 + 198*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 48144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*m - 36 = 0, -4*b - 833 + 881 = -4*m. Let o = -0.09 + 4.09. What is the nearest to -3\/5 in 2\/5, b, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9529*m*o*w**2 - 246761533*m*o - 413*m*w**2 + 8*m*w wrt w.\nAnswer: 19058*m*o*w - 826*m*w + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 9 + y**3 + 6*y - 3*y**2 - 19*y. Let i be d(9). What is the highest common divisor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 15 = 2*q, -18*q - 2*t - 5 = -19*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2398, -4800, -7202, -9604, -12006?\n\"Answer: -2402*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17\/((-6)\/(-15) + 21\/(-90)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473102 is divided by 935?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (0 + (-22 - -9) - -10) + -8 + 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/91 - -99\/364. Suppose -1 = -h - 2. Is h > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 6*i**2 + 2*i + 4. Determine j(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (38 + -14) - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1407 and -25\/737.\nAnswer: 15477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 68*r - 139*r**2 - 9*r**2 - 6 + 221*r.\nAnswer: -3*(r - 1)*(49*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/10)\/(18\/30). Let b = 2.03 - 0.03. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 5. Let d be h(4). Let x = -7 - d. Let p = 5 + x. Solve u - p = -4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttaaii. What is prob of sequence aat?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602700?\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36676714?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 7*j - 4*d + 1115, -1 = d. Let r = j + 1074. List the prime factors of r.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 2*x. Let t be (-8)\/6 + (-20)\/30. Give m(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*m = -0*m - 35*m + 984 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1936 (base 12) to base 7\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 0, 5*b = 3*b + 5*d + 10. Suppose -m - 4 = -b*m. Does 12 divide (35 + 2 - m) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*d**5 + 50*d**2 - 3*d wrt d?\nAnswer: -5700*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 7. Let n(s) = 54*s + 11. Let j(u) = -11*u - 2. Let k(r) = 11*j(r) + 2*n(r). What is y(k(b))?\nAnswer: 52*b + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465774.5 millennia to centuries.\nAnswer: 4657745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 481428 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12281*r + 245613. What is h(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.7. Let v = -0.2 - f. Let z be 299\/276 + 14\/(-6). What is the closest to v in 0.1, 2, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 803.\nAnswer: 106\/803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -229286.55141 plus -0.336?\nAnswer: -229286.88741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3313122 - 10?\nAnswer: -3313132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8166 - -19290. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 112 = -9*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 14*y - 60. What is l(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + h - 2, -3*h - 20 = -5767*g + 5771*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -10 + (1 - -10) + -24?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 147. Calculate v(-31).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:02 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/17 and 145\/168252?\nAnswer: 2860284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 33. What is the smallest common multiple of n and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5770989 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0 (c) 7\/18 (d) -0.15 (e) -4\/3 (f) -35 (g) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*r**2 - r**2 + 18*r**2)*(-2*r + r + 3*r) + (3*r**2 - 1 + 1)*(2 + r - 2) as w*r**2 + l + v*r + g*r**3 and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.57646 + -0.07646. What is the second smallest value in 2.5, -0.4, y, 5, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -1.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*r = 12 + 552, -4*r - 736 = -5*k. What is the greatest common factor of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:20 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -1\/3, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 1932?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**4 - 18*t**3 + 12*t**2 - 6*t + 6. Let d(k) = 6*k**4 - 35*k**3 + 24*k**2 - 11*k + 11. Let h(i) = 6*d(i) - 11*n(i). Factor h(v).\nAnswer: 3*v**2*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88391 is divided by 6280?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4920 + -22041?\nAnswer: -26961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7741*a = 27982 - 159579 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/42)\/(4\/(-8)). Is p less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17768 and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) - (-48)\/9. Let v = -4 + c. Determine n so that 2*n**3 - 2*n + 0*n**2 + 4*n**2 + 2*n + v*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -891 + 74845\/84. Let s(r) be the third derivative of -1\/42*r**7 + i*r**8 - 1\/40*r**6 + 0*r**3 + 1\/12*r**5 + 0*r + 0 - 1\/24*r**4 - r**2. Factor s(f).\nAnswer: f*(f - 1)**2*(f + 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 88 = -82 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + b - 127 - 7, 0 = -5*t + 5*b + 210. Suppose 21 = 13*r - t. Let d = 12 - 8. Solve 0 = 3*v + d*a - 2 - 19, 5*v = r*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 9*q - 7*q. Solve -3*g - 18 = -3*v, g - q*v = 2 - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -181 (b) -1.84 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1254813 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -210 - -248. What is the highest common factor of c and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 - 4\/9 + 14\/9*y**2 - 2*y**3 + 10\/9*y = 0. Calculate y.\nAnswer: -1, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55415953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 5) + -11 - (-11 + (19 - 11)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 318475 or 318191?\nAnswer: 318475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137\/3 + 46. Let u = 599 - 602. Is j smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(19))**2 + -1.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 6*n - 2635 + 10*n.\nAnswer: -3*n - 2635","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5, -82 - 28 = -5*u + 2*g. Solve k + 4*k + u = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 - 2.92. Let k = 21.7 - 18.692. Let d = k + b. What is d rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53582651*i**3 - 15555*i**2 + 177*i wrt i.\nAnswer: -321495906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 3*q + 2*k + 25, -q = -k - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4)*((0*a + 0*a - 5*a)*(14 - 31 - 5) - a + 3 - 3 + (1 - 3 + 1)*(3 + 0 - 2)*(-2*a - 4*a + a)) to m*a + p and give m.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -615*o**2. Let t(m) = -4*m + 4. Give r(t(z)).\nAnswer: -9840*z**2 + 19680*z - 9840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1595*x. Let b(n) = -19914*n. Determine q(b(l)).\nAnswer: -31762830*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -37 + 117. Suppose 0 = 5*k + 5 - 75. What is the remainder when d is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 731700 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5552607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/30)\/((-3)\/(-10)). Suppose 0 = -5*m - j*m. Suppose m = -2*r + 20 - 0. Calculate the greatest common factor of r and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -36, -60?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(2\/48). Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 76680.\nAnswer: 76680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -2881706\nAnswer: 28817.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 15*y + 27. Let o be j(-16). What is the second derivative of -15*i - 9*i**4 - 13*i - o*i**4 + 10*i wrt i?\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -27671*z - 32236713. Give b(-1165).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7632842509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -10\/7 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + (-1 + 2 - 3)*(2 - 2 - 1) + 1 + 0 - 3 - 1 - 1 + 1 + 2 + 4 - 5 + 0 + 1 + 0)*(0 + d + 0)*(-76 + 59 - 434).\nAnswer: 451*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4 - 3 + 3*s - 2*s. Let f be c(2). What is the third derivative of -4*p**f + 3*p**3 - 4*p**3 + 2*p**3 - p**2 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -775\/3, 17, -2 in ascending order.\nAnswer: -775\/3, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -6, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 2\/7, 2, -34?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r**2 + r + 2. Let o be c(2). Suppose o = 5*q + 3*z - 31, -19 = -10*q + 5*q + 3*z. Let u(t) = -t**3 + 4*t**2 + 5*t. Determine u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 12) to base 6.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 - 57. Let j(p) = 3*p**2 - p + 57. Let n(w) = -5*d(w) - 4*j(w). Differentiate n(b) wrt b.\nAnswer: 6*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26220 and 33189.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6390*s + 3961805. Determine k(620).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(143))\/(-2*sqrt(539) + sqrt(539)) - ((sqrt(156)*2)\/sqrt(12) - (sqrt(117)*-4)\/sqrt(9))) + 0.\nAnswer: -39*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7\/3471?\nAnswer: -7\/3471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g**2 - 1. Let z(y) = -101*y**2 - 15. Determine 3*d(k) + z(k).\nAnswer: -44*k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 4*l + 8. Let q be c(5). Suppose -3*n = -2*i - 97, -3*n - 47 = -4*n - q*i. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-3))\/((-2)\/6). Suppose -r + 50 = 4*b. Suppose 4*h + 16 = 3*k, 5*h - h = -4*k + 68. Calculate the smallest common multiple of b and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -11. Let l = d + 119.8. Let c = -127 + l. What is c rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 7:29 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 50 = z. Let s be (-12)\/(-3 - -5) + 2. Let u be s\/(-10) - (-40)\/z. Solve -j - 12 = u*a - 5*j, 4*a - 3*j + 9 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - g + 12, -2*j - 2 = 4*g. Let z(o) = o**3 + 12 + 11*o + 2*o - 6*o - 8*o + 4*o**2 - 4*o. Is z(j) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15*m - 172. What is n(14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2015\/130)\/(2\/84).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/8 - 2657*g\/8 - 243793.\nAnswer: (g - 3256)*(g + 599)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 116078836 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:21 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*-463.57\nAnswer: 463.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4, 2*m = -5*j + 5748 - 2076. What are the prime factors of j?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175450 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.175 - -0.175. Let w = -4285\/17172 - 2\/4293. What is the second smallest value in w, i, -36?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/16 and -27\/1144268.\nAnswer: 4577072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - -155. Let o be ((-4)\/8*206)\/(-2)*-4. Let t = -180 - o. Calculate the greatest common factor of s and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -1.1312.\nAnswer: -1.2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 3:17 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/16)\/(25\/(500\/(-20)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.0807\nAnswer: -0.02421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430502 is divided by 766.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 74240*d**2 + 74235*d.\nAnswer: 5*d*(d + 1)*(d + 14847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-10))\/1)\/(7838\/372305).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10561044 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(16\/7) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 + -3367?\nAnswer: -3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*a = -23 - 37, -2*o - 3*a = -5. Suppose 4*y = o*y - 42. Suppose 0 = 6*c - y*c + 85. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + u - 2)*(-12484*u**3 + 6216*u**3 + 7740*u**3).\nAnswer: 1472*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 43*h**2 - 36*h**2 + 80*h**2.\nAnswer: h**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) + (1350426\/5148)\/(-553)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -2 + 0 + -3. Let g = -35 + 40. Let p(c) = -2*c + 14. Let u be p(5). Solve h + g*s - j - 1 = 0, u*h = s + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31180?\nAnswer: 2, 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 2*i - 18 = 21*w, -2*w = 2*i + 12. Sort w, -1, -2, 3, 8.\nAnswer: -2, -1, w, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s**2 + 7*s + 7. Let w(h) = 4 - 6*h - 9 + 5*h**2 - 1. Let z(r) = r**3 - 9*r**2 + 8*r - 7. Let o be z(8). Calculate o*w(a) - 6*f(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-792)\/45 + -2 - (-4)\/(-10). Let n be 60\/(-25) - (-12)\/i. Which is the biggest value? (a) -2 (b) n (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:59 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 52\/15 (c) 2\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-69)\/(-18) + (-1)\/(-6). Let y(u) = -p*u - 1 + 1 - 3 + 1. Let n be 74\/(-14) - (-4)\/14. Let l(x) = -7*x - 4. Give n*y(h) + 3*l(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8781*u - 2546481. Calculate k(-290).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-138)\/(-33) + (-4)\/22. Suppose -g*f = 4*z - 8, z = 2 - 1. Suppose -m + 2 + f = 0. Is m > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9867 and 383526.\nAnswer: 8821098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + -2*sqrt(1088) + 2)**2 - (-3 + -1 + sqrt(1088))) + (-1 + (sqrt(1088) - 1*sqrt(1088)*-4))**2.\nAnswer: -120*sqrt(17) + 28297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 2 + 17828*p - 17829*p + 4. Let w(y) = -6*y**2 + 5*y - 11. Suppose 0 = 5*g - 0*g - 110. Give g*u(i) + 4*w(i).\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r**(2\/3)*r)\/r)\/r))**1)**(-4\/13) assuming r is positive.\nAnswer: r**(-16\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 67*r + 98. Is x(26) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flzzynkl. Give prob of sequence yf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**6\/120 - h**5\/30 + h**4\/3 + 4*h. Let q(a) be the third derivative of b(a). Differentiate q(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(-1\/4))\/z)**(1\/70))**(-44)\/((z\/(z*z**1\/z))**(-39))**(-12) assuming z is positive.\nAnswer: z**(-33\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {l: 2, k: 13, w: 2, u: 3}.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/35 + (-3)\/(-15))*20*40\/(-480)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3089, 3071, 3053, 3035?\nAnswer: 3017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512024 divided by -2532?\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-1) + (-32)\/6. Which is the nearest to -1? (a) f (b) 0 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004169 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7115 + 2?\nAnswer: 7117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6686907933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108255, -216581, -324907, -433233?\nAnswer: -541559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4 - 4851*h**3 - 133*h**2 - 87*h + 1 wrt h?\nAnswer: 48*h - 29106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*1)\/((-126)\/(73332\/1843))?\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k - 275. Calculate g(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2 - 4. Suppose i = -s*i + 138. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 197, 0, -1 in increasing order.\nAnswer: -4, -1, 0, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmiiivvfiiyii. Give prob of sequence fii.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003292526 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*6\/9. Let q be (-14)\/21*(o - 696 - 1). Suppose -a - 4*l + 166 = 0, 5*a - 5*l - q = 2*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 20. Sort -10, 0.5, s in descending order.\nAnswer: 0.5, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 28 = -4*f, 0*r - r + 2*f = 0. Let p = -4 + 8. Suppose 3*i - p*i = -28. Solve -i = -5*m - r*k, 3*m - k - 14 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1149436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/292 - -575\/2628. Let x = 1394 + -22305\/16. Which is the third biggest value? (a) 2\/3 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 22 - 2 = 0, 2*a + 2*k = -16. Let f be 5*(a\/5 + 2). Let v be (-25)\/15 - f\/(-6). Is v <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + i + 4. Suppose 2*r + 4*r + 18 = 0. What is y(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5204, 8288, 11372, 14456, 17540?\n\"Answer: 3084*c + 2120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 5*b**2 - 6*b + 4. Let x be h(6). Suppose 0*y = -x*y + 708. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5232, -16843, -34842, -59229, -90004, -127167?\n\"Answer: -3194*z**2 - 2029*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 11*i + 184. Suppose 3*b - 20 = -2*w - b, 4*w + 2*b - i = 0. What is the tens digit of (-8)\/w - (-124)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) - (sqrt(88) - (sqrt(88) - 5*-2*sqrt(88)))))\/(sqrt(64)\/(sqrt(48)\/(sqrt(24)\/sqrt(4)))).\nAnswer: -66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15375023*p**2. Let x(g) = -13*g**2. Calculate x(u(v)).\nAnswer: -3073087319256877*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -340*u**5 - 68*u**4 - 125*u**3 + 775987*u wrt u?\nAnswer: -6800*u**3 - 816*u**2 - 750*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -560 > 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 463.2 + -459.2. What is the third smallest value in -3, t, -0.073, -2\/11?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -7) + -86 + 71.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*t**5 - 2157*t**4 - 3*t**3 - 2*t**2 - 76*t + 1844?\nAnswer: -4200*t**2 - 51768*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*n**2 + 2 - 102*n**2 + 87*n**2 to t + z*n**2 + q*n and give z.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -62*i - 2. Let o(v) = 309*v + 12. Give 2*o(y) + 11*z(y).\nAnswer: -64*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -42917336.2 to the nearest one million.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75290 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11469 is divided by 359?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 583930399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-13 - -3) + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, f: 1, t: 3, p: 4, v: 2, g: 3}. What is prob of sequence pu?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(2\/7)*v)**8)**42 assuming v is positive.\nAnswer: v**1104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (218 - 338 - 470)*(-i**3 + i**2 - i**2) - 19*i**3 + 43*i**3 + 32*i**3 in the form x*i**2 + v*i**3 + l*i + k and give v.\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45, 104, 179, 276, 401, 560?\n\"Answer: b**3 + 2*b**2 + 46*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 190583198 to the power of 1\/2, to the nearest integer?\nAnswer: 13805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6433548 and -45\/3467728.\nAnswer: 488949648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-796928)\/(-184) + (-27)\/207. Calculate the greatest common divisor of 355 and g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30437 + -30442. Let w be 1*-3 + 10\/(-2). Which is the fourth smallest value? (a) w (b) -3 (c) r (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**3*c**3*r + 58*a**3*c**2 + a**3*r**3 - 93*a**2*c**3*r**3 + 13*a**2*c**3*r**2 wrt a.\nAnswer: -30*c**3*r + 348*c**2 + 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 (base 11) in base 14?\nAnswer: 29d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -3\/2 (c) 3 (d) -32.911 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, 606, 3, 2 in descending order.\nAnswer: 606, 3, 2, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 3*r**3 - r**3)*(0*r - 4*r + 3*r) - r**4 - r + r + (6*r**3 - 6*r**2 + 6*r**2)*(-239 - 53*r + 121 + 121).\nAnswer: -321*r**4 + 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.056 + 0.056. Which is the nearest to 4\/9? (a) s (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) + 3) + sqrt(8)\/sqrt(4)*5 - ((sqrt(24) + sqrt(120)\/sqrt(5))*-4)\/((sqrt(12) + sqrt(192))*-6).\nAnswer: -15 - 4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 520 and 13366470?\nAnswer: 53465880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 145, 158?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 4*b - 5*b)*(-2*b**2 + 2 - 2) - 5*b**3 + b**3 + 0*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6365 and 0.07.\nAnswer: 0.7065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/270*7\/(56\/100).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 2*h + 2, -3*h + 6*p - 7*p = 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 32, 70, 132, 224, 352, 522, 740?\n\"Answer: y**3 + 3*y**2 + 4*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Suppose -y*i = 3*i. Solve 17 + i = m + 5*s, 0 = m + s - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311 + -3032?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.275682l to millilitres.\nAnswer: 7275.682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2179.3623 + 2182.4. Let a = 0.0677 - h. Let w = 0.03 - a. What is the smallest value in 0, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -3\/8*g**4 + 0*g + 9 + 3*g**2 + 1\/60*g**5 + 4\/3*g**3. Let b(z) be the second derivative of y(z). Calculate b(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1232?\nAnswer: -1232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q - 34. Let o(h) = 3*h**3 - 13*h**2 + 2*h + 12. Let v be o(4). What is the least common multiple of 10 and r(v)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + (-4 - (6 + -14))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.1, 5, 20\/13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 2. Let l be ((-22)\/(-10) + -1)*(-35)\/(-2). Let n = l - i. Solve -n - 6 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.08301 + 35.13. Round k to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1695196 or 1695192?\nAnswer: 1695196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 + f**2 + 11*f + 3. Determine m(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-6)*(-6)\/(-4). Suppose -d = 3*m + 1. Let q(w) = -w**3 - 6*w**2 - 4*w - 3. Let t(v) = v**2 + v + 1. Let g(s) = -q(s) - 5*t(s). Determine g(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/47933 + 158802026\/143799. Let z = 1120 - n. What is the common denominator of z and (14\/5 + 42189\/(-11480))\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 20*n**2 - 1. Let a be b(-20). Let q be (a + -3)*5\/400*12. Sort 1\/3, -11, q in ascending order.\nAnswer: -11, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -33377, -0.2, 3\/5.\nAnswer: -33377, -0.2, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135492295 + 270984618 + 2*h - 135492288.\nAnswer: 2*h + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -1\/12 (c) 1\/3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/20 + p**4\/2 - p**3\/3 + 10*p. Determine i(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -51. Let n be ((-135)\/(-10))\/3 + 2\/x. Let z be 8 - 8 - 3\/n. What is the third biggest value in z, 0.05, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3102 = 3*k, -2*z + 5*k = k + 2066. Let t = z + 695. Round t to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(3\/23))**(-9)*(y**2)**6*y**(4\/7)\/(y\/y**8) assuming y is positive.\nAnswer: y**(3277\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1893 or 0?\nAnswer: -1893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 156\/77, 1\/5, 2.1, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(((-9)\/270 - -8) + -8). Which is greater: z or -448\/5?\nAnswer: -448\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20001202 (base 3) in base 16?\nAnswer: -1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 - 7*q + q**3 - 5*q + 0*q**3 + 2 to the form z*q + w*q**3 + h + r*q**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t\/((t**0\/t)\/t))\/t)))**(21\/4)*t**(-1\/2)*t*t*t**(1\/6) assuming t is positive.\nAnswer: t**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-143)\/2574)\/(-2*3\/(-90)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2854332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4 + 4184*h**3*z**3 + 2*h**2*z**2 - h*z**3 - 96*h*z**2 wrt h?\nAnswer: 48*h + 25104*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 3175 = -m. List the prime factors of m.\nAnswer: 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4976892?\nAnswer: 2, 3, 138247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g - 8. Let h(x) = 1 - 2*x + x + 1 - 7 + 8. Determine 14*h(w) + 4*m(w).\nAnswer: 2*w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/60 + 5*m**4\/24 - 7*m**3\/3 + m**2. Let s be w(-8). What is the first derivative of -s + 21 + 32 + 8*i wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 0 + q**2 - 4*q to p*q + b + s*q**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08879 and -0.06.\nAnswer: 0.0053274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, w: 1, y: 8, k: 1}. Give prob of picking 1 z and 1 y.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h. Let k(q) be the first derivative of 45*q**2 - 3*q + 1451. Calculate k(c(p)).\nAnswer: -540*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 32931.03 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 0*o**2 + 4*o**2)*((6 - 1 - 3)*(-5 + 5 + 2) + 3 + 0 - 1)*(27 - 27 - 19*o).\nAnswer: -114*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let g = 0.329 - 1.329. Which is the closest to g? (a) -1 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-138)\/10 - 6\/30. Let a = c + 17. Find the third derivative of -38 + 38 - 12*x**a - 4*x**2 wrt x.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 2*u**7\/945 - 2*u**6\/135 + u**5\/27 - u**4\/27 - 625*u**2 - 2*u. Factor f(z).\nAnswer: 4*z*(z - 2)*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/7 + (-452618)\/(-697585). Let y = 180105619\/31470 + a. Let g = y + -5743. Calculate the common denominator of 38\/3 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from {i: 1, g: 5, m: 2, t: 6, a: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.57 + -14.87. Let j = 12.8 + f. Let x = -13 - -8. What is the closest to 0.5 in j, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19944 divided by 6648.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*v + 591*v + 270 = -52*m, 5*v = -4*m - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 5720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7989442 rounded to three decimal places?\nAnswer: 3.799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, u: 1, f: 11}. What is prob of picking 3 d?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b452 (base 14) in base 9?\nAnswer: -1125025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2934 divided by -4\nAnswer: 1467\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 0 = 18. Suppose m + 0*m + w*h = 4, -m = -5*h + 24. Let y(t) = -7*t**3 - t**2 + 5. Let u(f) = -6*f**3 - f**2 + 4. Determine m*y(p) + 5*u(p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -2, 7, -250620?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 12*b = 136. Does 29 divide -4 - (1 + (-14)\/(-4))*b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.2, -3, -1\/58, 3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 5) + 795\/105. Let h = 0.3 - -0.2. What is the nearest to -0.4 in -3, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 292?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -186170121 less than -2?\nAnswer: 186170119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 + -43. Suppose p = 3*z + 65, 0*p - 4*z - n = -p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 + z**2 - 4*z**2)*(18 + 35 - 37) + z**2 + 3*z**2 + z**2 as y*z**2 + q + m*z and give y.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 2, f: 2}. Give prob of sequence ff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -109 + 12 + (96 - (0 - 9)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -7, -144 in ascending order.\nAnswer: -144, -7, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2751 + 2703 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/5 + -47\/20. Let u = -317529\/76 - -4177. What is the common denominator of o and u?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 0)*(-3)\/15. Suppose 3*y + 3*q - 2*q - 16 = 0, -3*q = -5*y + 22. Which is the closest to 1? (a) y (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmj when three letters picked without replacement from jjcjcfjcmfccccc?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, o: 3}. What is prob of picking 4 n?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/72 and 31\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 6*m**2 + 3*m + 12. Let u be x(5). Solve -u = -5*p + 6*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -0.04, 0.2, 0.4, -2\/5, -0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*b + 205*b + 556*b**2 - 94*b.\nAnswer: 556*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 6*h**2 - 5. Let b(p) = p**2 - 1. Suppose 36*c - 40*c + 4 = 0. What is c*r(f) - 5*b(f)?\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 + 27*l - 149. Determine h(8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 a when four letters picked without replacement from {a: 15, h: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12d48a6 - 1?\nAnswer: -12d48a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7268*n - 4201*n + 2513*n - 327*n - 6706*n.\nAnswer: -15989*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - 0) + (-22 - -18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + 365. Suppose 4*y - 1226 = -3*t, t - 3*y - q = -8*y. Suppose -3*i + i = 4*x - t, x = -i + 203. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -12. Let j be (3\/(-4))\/(g\/24). Solve 0 = 4*p + j*u, 3*u = 4*p - 31 + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*g - 3*d + 90, 2*g + 4*d - 1750 + 1760 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2 and 4242\/(-28)*(-2)\/768.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by 1.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -377?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h = 1768. Suppose -4*u + h = -6186. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 742 + -738. Solve 3*n = 15, -3*o - 8 - 24 = -t*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1194044*l**3 + 1029051*l**2 wrt l?\nAnswer: -7164264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 981482756?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.69*0.02\nAnswer: 0.0538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -63. Let s be 7370\/201*(1 - 50\/z). What is the highest common divisor of s and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -9, -13, -17, -21, -25?\n\"Answer: -4*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 4*d - 2*d - d. Let v(i) be the first derivative of 1 + 2*i**2 - 4*i**2 + 3*i**2. Calculate w(v(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 241\nAnswer: 120.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 57. Let v(d) = -3 - 2*d + 0 + 2 + 5. What is v(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1\/(-4)*2. Suppose 4*l = 4*o - 28, l + l = -2*o - 10. Does 6 divide 1\/(h\/l) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2010096 and 792?\nAnswer: 2010096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 253687 - 2?\nAnswer: 253685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 + 206*k**2 - 1835*k - 46. Give d(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -557141, -556872, -556603?\n\"Answer: 269*w - 557410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/351*((-988)\/12)\/19.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10663479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/4 - (-1 - 11))*2. Solve -2*o + p = z, 20 - 14 = 4*z - 2*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 1414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 3:40 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11872*y**4 - 138*y**2 + 2*y + 4?\nAnswer: -284928*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/154 and -29\/209?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 + 5*i + 3. Let j be m(-4). Let v be (9\/(-27))\/(j\/27). Is (6\/v)\/((-4)\/(-390)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdss when four letters picked without replacement from kddssmkkmkdk.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 41. Let i be q(-19). Let a be i\/7 + (-9)\/(-21) + 1. Let u be a*(-1)\/(-2) + (-245)\/(-70). What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 5. Suppose -2 + z = v. Let g = v - -3. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105042 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310022 is divided by 222?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:21 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3884.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -22.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1047 and -1.596.\nAnswer: -1671.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 5*k**2 + 3*k - 3. Let a be f(-4). Let m = 390 + -386. Suppose -10 + 5 = -q. Solve a = -q*c - m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105253530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -448\/9 + 50. Let g = 3\/332 - 2769\/85988. Let d = g - -536\/777. Is d smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**5*f**2 + 8667*c**3*f**2 + 4*c*f**2 - 32*c*f + 4*c + 28*f**2 + f wrt c.\nAnswer: 60*c**3*f**2 + 52002*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 6*h**2 + 8*h + 8. Let k be s(-4). Solve o + 21 = k*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Let p(x) = 4172 - 988 + 7218*x**2 - 7219*x**2. Calculate l(p(q)).\nAnswer: q**4 - 6368*q**2 + 10137856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -166 + 310 - 170*n - 145 + (1 - 1 - 3*n)*(1 - 1 + 1).\nAnswer: -173*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*g - g**2 + 109*g + 106*g + 123*g**3 to u + m*g + y*g**3 + i*g**2 and give y.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 1 + 1)*(-9 - 1 + 4)*(0*q + 2*q + q) + 4*q**2 - q**2 - 5*q**2 + (0 + 0 + q**2)*(-3 + 1 + 0).\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(2) + -1 + sqrt(2)*1.\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-16)*(-1)\/(-4)*862\/28877.\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4259? (a) -920 (b) -15\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 41. Suppose -w*f + 9*f = 9*f. Which is smaller: f or -5\/22?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-660)\/(-24))\/((-30)\/(-24)) - 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:40 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*g - 1237 = -463. Let d = 8 - 3. Is -586*(d - 2 - 21\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 2:10 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -28. Let o(h) = 8*h**3 + h**2 - h - 2. Let s be o(-1). Let g be (-42)\/(-28)*s\/114. Put 2, z, 3, g in decreasing order.\nAnswer: 3, 2, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12580.863 + 12589. Let o = -0.1193 + 0.0563. Let k = x - o. What is k rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -88*u. Let h(l) = 29*l. Suppose -5*b = -19*a + 24*a - 15, -2*b + 13 = -5*a. Determine b*k(f) + 11*h(f).\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 19947?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -21*g**2 + 3*g + 7. Let f be u(-2). Which is smaller: f or -82?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + x - 8. Let w be (-23 + 20)\/(x\/2). Determine g, given that 1 + w*g - 2*g**2 + 5*g - 1 - 8 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35541 less than -8769.4232?\nAnswer: -44310.4232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2400)\/(-12)*-33*26\/(-3432)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2. Let h(s) = 1. Let g(i) = 8*i + 32. Let u(l) = g(l) - 32*h(l). Calculate y(u(k)).\nAnswer: -384*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/96 + ((-10)\/2 - -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(2\/25)*d)\/d)\/d)\/d**(-2\/33))\/(d**(3\/5)\/d*d)**(-10\/13) assuming d is positive.\nAnswer: d**(-4267\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-18) - 0 - 15436\/(-6528).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 93?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-16))\/((-34)\/((-1360)\/(-45)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + 5*t**3 + 12*t + t**3.\nAnswer: 6*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {g: 4, n: 5, v: 7, l: 3}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + y + 1. Calculate the lowest common multiple of b(-1) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275330 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: Total of -1 and -623.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278774?\nAnswer: 2, 139387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.89 - -0.11. Let t = -637.3 + 396.6. Let d = 241 + t. Is d <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*k**3 + 12*k**3 - 209*k**3)*(-k + k - 2*k).\nAnswer: 548*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 7\/60*m**5 + 0*m**4 + 0 + 1\/40*m**6 - 94*m**2 + 131\/6*m**3 + 0*m. Differentiate b(t) with respect to t.\nAnswer: 9*t**2 + 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693992911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.15. Let i = -4.05 + t. Let f = -76.9 + 77.9. What is the closest to f in i, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14331 (base 5) to base 8.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*sqrt(972)*-3)\/((sqrt(9) - sqrt(36)\/sqrt(4)*4)*3).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199603 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b + 55*b + 55*b - 218*b + 54*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + o - o + (-5*o - 2*o**3 + 5*o)*(0 - 2 + 1) + 4*o**3 + 2*o**3 - 4*o**3 + 0*o**3 + 2*o**3 + 2*o**3 + (-o - o + 15*o)*(21 + 3*o**2 - 21).\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + (sqrt(2299)*1 - sqrt(2299)) + sqrt(2299) + sqrt(2299))*-1)**2.\nAnswer: 20691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1572*q**3 + 561*q**2 + 612*q + 51. Let s(c) = 121*c**3 + 43*c**2 + 48*c + 4. Determine 4*g(w) - 51*s(w).\nAnswer: 117*w**3 + 51*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 11 + 3 + 5 + -7 - 56 - 5.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-16)\/h*h**15\/h)\/(h**(-5)\/h)**(-11\/7) assuming h is positive.\nAnswer: h**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325930896 divided by 13580454?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 2*l - 16*l = -15, -4*l + 93 = -20*u - 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2750*l**2. Let n(d) = d + 377. Determine n(p(o)).\nAnswer: -2750*o**2 + 377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4173 + a**2 + 4173 - 8346.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*l = -153*l - 1175 + 5756 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/6 + -1)*21. Suppose -c - 5*f = -a, 1 = -c - c + 5*f. What is the second derivative of c*i**5 + i**5 - 3*i + 5*i wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2749044.6 months?\nAnswer: 2290.8705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 16) to base 15.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-5) + (-4)\/10. Let r be 2*x\/(0 - -2). Let n be r\/2 + (-114)\/(-4). Calculate the highest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2409*o**2 - 375*o - 1 wrt o?\nAnswer: 4818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 18 - (10 - -14) - -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, 0.2, -3199?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/5 - 18192*t**3\/5 - 3638*t**2.\nAnswer: -2*t**2*(t + 1)*(t + 9095)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11508*z**4 + 147*z - 12 wrt z?\nAnswer: -138096*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(((-18)\/(-12))\/((-99)\/(-22)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 556 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -302122.65 rounded to the nearest one thousand?\nAnswer: -302000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 470 = -461. Let o(d) = d**3 + 8*d**2 - 10*d - 9. Give o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 88*a**3 + 5*a**2 - 5*a - 2. Let n be x(4). Suppose 0*w + 5*w = -5*v + n, 2*v = -5*w + 5681. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -3377.\nAnswer: 1350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5810863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + 0) - (-21)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -58\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 845727. Let q(s) = -s**2. Calculate j(q(r)).\nAnswer: -r**2 + 845727","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6590 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-3 - -1) + (145 - 133)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2625? (a) -1\/18 (b) 5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 427?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26 + 471*u - 72*u + 259*u + 115*u with respect to u.\nAnswer: 773","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 - d - 7 - 5*d - 331440*d**3 + 331446*d**3. Let a(c) = -7*c**3 - 5*c**2 + 5*c + 6. What is -6*a(j) - 5*z(j)?\nAnswer: 12*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -2*f - 4*f. What is the greatest common divisor of 180 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, c: 2, e: 6, g: 4, y: 1, k: 2}. Give prob of sequence cc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:30 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - k**4 - 5*k**3)*(-4 + 2*k + 4) + 2*k**5 + k**4 - k**4 + (k - 2*k + 3*k)*(2*k**4 - 3*k**3 + 3*k**3) - 5*k**5 + k**5 + 3*k**5.\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 4*c**2 - 4*c + 9. Let k(f) = f**2 - 6*f - 2. What is the remainder when k(7) is divided by s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1344595)\/(-75) - (-20)\/300?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*c**2 - 2*c - 29*c**2 + 17*c**2 + (-7 - 14*c**2 + 7)*(14 + 11 - 6) to the form b*c**2 + n*c + l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 50\/(-18) - (-216)\/972\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63867904 and 2134.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from tntttnt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1253838, -2507678, -3761518, -5015358?\nAnswer: -6269198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 e when three letters picked without replacement from {i: 3, d: 4, a: 2, p: 3, e: 6}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -73. Which is greater: -48 or d?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 441 = -3*r, -4*w - 608 = -4*r - 5*w. Round r to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 2*n - n + n. Let r(p) = -12*p. Give r(f(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6062403 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 6*u + 9. Let h be x(7). Let y = -5893 - -6179. Suppose -y = -4*k - h*w, -3*k + 146 = -k - 2*w. What is the greatest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 24*n**2 + n - 1. Let w be v(-1). Which is smaller: 24 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -304 + -9?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -44*f. Let h(a) = a. Give w(h(n)).\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36631?\nAnswer: 7, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.23 * 166674.\nAnswer: -538357.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23882, -47763, -71644?\n\"Answer: -23881*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -427832.011 - -427521. Let k = y + 311. What is k rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7941 plus 939.2?\nAnswer: -7001.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 19. Let a(f) = 4*f - 14. Let r(n) = 84 + 0*n - 28 + n - 29 - 28. What is w*a(d) - 3*r(d)?\nAnswer: d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6991671802 to the nearest integer?\nAnswer: 83616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 40*o + 116. Let t be j(-37). Suppose -3*a + 118 = -5*f, -4*a - t*f = -2*f - 167. What is the remainder when a is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-6*sqrt(18) - sqrt(2)))*5.\nAnswer: -95*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2))\/(u**(3\/5)\/u))\/(u*u**0*u*u*u*u)**39 assuming u is positive.\nAnswer: u**(-958\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(44)\/sqrt(4) + 4 + (1 + sqrt(396))*-1.\nAnswer: -sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64574 + 2805?\nAnswer: 67379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b - 7. Let p be z(-7). Solve p = 2*i + 4 - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:39 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4722 (base 9) to base 15\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123 + -167 + (19 - -7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -20*u - 41. Let v be p(0). What is the third biggest value in 0.3, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-10)\/175*7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(2*y + y - 4*y) + (2*y + 2 - 2)*(-11 + 4 - 5) + 0 - 2*y + 1 + 2.\nAnswer: -23*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 6*o + 2. Suppose -3*g + 5 = -5*m, -4*g + 1 = -2*m - 1. Suppose 9*h - 8*h + 5 = g. Give y(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o + 12. Suppose -h + t - 3 = 0, 0*h - 2*h + o*t - 4 = 0. Suppose 3*b - 5*b = 2*a - 4, 0 = 5*b + 10. Put -3, a, h in decreasing order.\nAnswer: a, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3 + -14 + 17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -521, -524, -529, -536, -545, -556, -569?\n\"Answer: -w**2 - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.019 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 + -182.6. Round h to zero dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, z: 1, o: 3, m: 3}. What is prob of sequence ooo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 74420.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24849 to the nearest 100.\nAnswer: -24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 8 + f**2 + 8*f + 8.\nAnswer: f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-14)*4\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000244853 rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2251 + -352?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:51 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2586068, -5172165, -7758262, -10344359, -12930456?\nAnswer: -15516553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 78 = -18. Let p = j + 10. Let i = p + 8. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/41883 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -83\/1358069?\nAnswer: -83\/1358069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -122*d**3 + 97*d**2. Let l(f) = -123*f**3 + 96*f**2. Let m(y) = -4*l(y) + 5*p(y). What is the third derivative of m(k) wrt k?\nAnswer: -708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - r**2 + r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1147304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 21*q - 16. Give n(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1839583658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 12*p - 13. Calculate the remainder when s(6) is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -467, -1873, -4223, -7523, -11779, -16997, -23183, -30343?\nAnswer: -38483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*j**2*l*y**3 - j**2*y**2 - 1328*l**3*y**3 - 12032*l**3 - 3*y**2 wrt y?\nAnswer: -192*j**2*l - 7968*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:00 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21202438 - -3?\nAnswer: -21202435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 702\/554095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n - 2 - 6*n + 0 + 27*n in the form v + u*n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*n + 32, 5*l - 15 = 10*l. Solve -n*d = -27 + 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + o**4 - 3*o**4 + (4*o**3 + 23*o**3 + 91*o**3)*(-2*o + 2*o - 2 + 2*o).\nAnswer: 235*o**4 - 236*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -30, -43, -60, -81?\n\"Answer: -2*z**2 - 3*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 2*l + 1, -4*z - l = -17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -363.273 + 363. Let p = m - -0.173. What is the nearest to p in -0.4, -1, 7, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 517\/21 in -0.4, -5, 1\/8, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -83.95007049.\nAnswer: -79.95007049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4, -6, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1124*o - 49 = -1117*o. Sort 3, -4, 5, o.\nAnswer: o, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5433337 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012257465 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -63 (c) -5\/7 (d) -6\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*r - 7*r - 23, f - 2*r - 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 + 201 - 7*f + 3*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5\/2 - 351*i**4\/4 + 2607*i**3\/2 - 630*i**2 = 0. Calculate i.\nAnswer: 0, 1\/2, 28, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 288ca2?\nAnswer: -288ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 4*b. Let y be s(-3). What are the prime factors of 3 - (-11 + -2 - y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114103 (base 9) to base 3\nAnswer: 10111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:20 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -188, -0.09, 2\/19, 5, 0.2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -478.948 minus 125?\nAnswer: -603.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1746 = -5*z - n + 84414, 2*n + 68914 = 4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-33))**(-38\/5) assuming h is positive.\nAnswer: h**(2508\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f + 240 = -15*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10821959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-10\/13)*j\/j**(-3\/11))\/(j**8*(j\/(j*j**(-1\/3)*j)*j)\/j))**(-2\/3) assuming j is positive.\nAnswer: j**(5002\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26168.01 and 22.1.\nAnswer: 26190.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 5)*(u**2 - 6*u + 3*u**2 + 5*u) + 5*u**2 + 3815 - 27*u - 3815 + (1 - 1 + 2*u)*(-7*u + 3*u + 2*u) to the form b + w*u + n*u**2 and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 1. Let h be u(4). Suppose 0 = -g - 4 + h. Suppose 0 = 5*s - g - 4. Solve -3*q - s = 2*i, -i + 5*q = -5*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000256047 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 191 (base 16) to base 3\nAnswer: 112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 2004*y - 2350*y - 4733*y + 36 - 19)*(4 - 3 + 0) to w + r*y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400570564 and 2044?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 2:12 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -74*q + 1 + 6*q + 7*q. Let w be x(-1). Suppose 4*m - 16 = 0, 0*t - w = -5*t - 3*m. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + -1.12. Let y = w + 1. Let f = -20 - -121\/6. What is the closest to y in f, 4\/3, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187*j**2 + 30*j**2 - 75*j**2)*(4*j**3 - 4*j**3 - 2*j**3).\nAnswer: 464*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5\/2 + 7*l**4\/2 + 13*l**3\/2 - 11*l**2\/2 - 4*l + 2 = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g = -5. Let x(n) be the second derivative of -n**3\/6 + n**2\/2 + 718*n. Let z(v) = 5*v - 4. Determine g*z(a) - 4*x(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533.8242 nanoseconds to microseconds.\nAnswer: 0.5338242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f - 25*f + 124*f - 46*f - 38*f.\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4361 + 44?\nAnswer: 43a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 921013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5 - 48*a**4 + 130*a**3 + 696*a**2 + 520*a = 0.\nAnswer: -26, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z + 221. Let s be m(-20). Let x(o) be the first derivative of 51*o**2\/2 - o - 1. What is the remainder when x(s) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/5*l - 4*l**2 - 16\/5 - 20*l**3.\nAnswer: -4*(l + 1)*(5*l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -1, 14, 4, -4 in descending order.\nAnswer: 101, 14, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3*r + 8 - 54 = 0, 3*v - 47*r = 840 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-3)*(-27)\/18. Suppose w = -11*g + 6*g + 1397, s*g = -3*w + 551. What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-702)\/342 - ((10 - 10) + (1 - -10)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203423 - 1430130?\nAnswer: -2134103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) 4 (c) 3 (d) -2\/945\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -63, -172, -325?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64096000 rounded to the nearest one million?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15668 = j, 5*j + 0*j + 12526 = 4*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -451427*b**2 - 536489*b wrt b?\nAnswer: -902854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9320622 + -3702622. What is i rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 7, -1, -6, -57 in increasing order.\nAnswer: -57, -8, -6, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 2. Suppose 1 = -2*n - 1. Let r = 7 - 3. Let z(k) = 3. Let w(h) = 1. Let b(t) = -5*w(t) + 2*z(t). Determine n*v(f) + r*b(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4 - 5*f**2 - 2*f + 5*f - f. What is g(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 8*p**2 - 2*p - 11. Let v be k(-8). Which is the closest to -2? (a) v (b) 4\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*o - 1535895 = -27*o. Does 36 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13303 - 10?\nAnswer: -13313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 15520283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -678 - -681. Suppose 5*v - h*f - 750 = 0, -3*f = -3*v - 186 + 636. What is the remainder when v is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 9:18 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6868981 centuries to millennia.\nAnswer: 0.06868981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 9, -5 in ascending order.\nAnswer: -5, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m)*(0*m + 3*m - 4*m) + 0 + 0 - 2*m**2 - 3*m**2 - 3*m**2 + 7*m**2 - 20*m**2 + 13*m**2 + 3*m + 8*m**2 + 4.\nAnswer: -m**2 + 3*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m - 12. Let f(q) = 4*q. Let h(t) = -5*t + 1. Let s(u) = m*f(u) + 3*h(u). Suppose 0 = 3*l - 0*l + 6. Give s(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 113614, 113611, 113608, 113605, 113602, 113599?\n\"Answer: -3*q + 113617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002671557 to seven dps.\nAnswer: 0.0000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28013131*j**3*s**2 + 1224*j**3*s - 9*j*s + 741*j wrt s?\nAnswer: 56026262*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317840 to the power of 1\/2, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -350 or 8771?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -2*p**5\/5 + 12*p**3 - 5*p**2. Differentiate t(y) with respect to y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 27. Put 4, -1, b in decreasing order.\nAnswer: 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*a**3 + 4837*a**2 - 4837*a**2.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9532*c - 2 = -9531*c - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55760845?\nAnswer: 5, 7, 1593167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3472898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5343500 and 20.\nAnswer: 5343500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**2 - j**3 + 1\/2*j**4 - 1\/10*j**5 + 0 - 3*j. What is x in g(x) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480621 is divided by 3337.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -1067?\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 6:37 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6199 + -6211. Suppose -3*f - 1 = -7. Let c be -2 - (5 - (f - 0)). Sort r, 1, c, 4 in ascending order.\nAnswer: r, c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 19*f + 295 = 0, -1084*j + 3*f - 35 = -1086*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 187, 2\/17, -5\/3, -0.4, -5, -32?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59190767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-9))\/(2\/21). Let d = -2011 + 2015. Suppose 4*w - m*a - 64 = -d*a, 0 = 3*a. Solve 0 = -2*t + 4*i + 2 - 20, -4*i = -w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458467.1l to millilitres.\nAnswer: 458467100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4952239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + y - 1. Let p(s) = 1561*s**2 + 4*s - 71. Let t(k) = 4*m(k) - p(k). Let d(o) = -70*o**2 + 3. Calculate 67*d(i) - 3*t(i).\nAnswer: -67*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5.8. Let g = -1.029 + 0.029. Let m be (0*1\/2)\/2. What is the closest to g in l, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 97. Suppose 8 = 4*v, -4*t - 2*v = v - u. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 26 - 30. Let s = -6 + 11. Solve -v*n = -3*m - 12, 17 = -4*m + s*n + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-17220)*20*(-12)\/48*3*-4.\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z**2. Let f(s) be the third derivative of 3*s**5\/20 + 5*s**3\/2 + 28*s**2 - 62. Give m(f(w)).\nAnswer: 729*w**4 + 2430*w**2 + 2025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-2))\/((-2)\/10). Suppose f - 16 = t*f. Let a = 9 + f. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 6:31 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 n when four letters picked without replacement from ndnnnd.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206 - -189. Let h(f) = -f**2 - 1. Let z(q) = 3*q**2 - 2 + 7*q**2 + 10*q**2 + 5 - 17*q**2. Determine o*h(b) - 6*z(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 21080010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:35 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*t - 50*t + 40 - 47*t + 137*t)*(-3*t - 3*t + 2*t)*(-39*t + 35 - 35) to the form u*t**2 + r*t**3 + x*t + l and give u.\nAnswer: 6240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1321*n**6 + 1297*n**6 + 75*n**2 + 36*n**2 wrt n?\nAnswer: -2880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -329*o*q**2 + 11*o*q + 48*o + 2*q**2 - q wrt q?\nAnswer: -658*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)\/t**(-1\/4))**17 assuming t is positive.\nAnswer: t**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.638 + 4.938. Which is the biggest value? (a) m (b) 40 (c) -1\/6 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4242487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-9 + (-207)\/(-72)*4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 0*z**2 - 1 - z**2 + 2. Let r be t(-2). Suppose -36*d = 111*d + 588. Sort d, 3, r.\nAnswer: r, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30813 is divided by 285.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 5*z - 24. What are the prime factors of y(7)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -104, -113, -126?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 31*h = 36. Let j = h - -19. Is 3\/7 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -2925.\nAnswer: -8775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l + 4. Let y(x) = -x**2 + 5*x - 2. Let o be y(4). Let m(p) = 0 + 4 + 0 - o + 4*p. What is -5*m(s) + 2*z(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 686, 984, 1286, 1598, 1926?\n\"Answer: j**3 - 4*j**2 + 303*j + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5364 and 18.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 37. Let o be w(-15). Suppose o*b + 47 = 335. Let t = 46 - b. What is the remainder when 29 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 15\/2*x**2 + 0*x**3 + 30 - 10*x - 5\/4*x**4. Factor k(s).\nAnswer: -5*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - b - 4)*(2 - 1 + 2) + (-3 - 3 + 4)*(5*b - 4*b + b))*(-3*b**3 + 7*b**3 + b**3 + (3*b - 2 + 2)*(-2*b**2 - 7 + 7)).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3674 - -3123. Is -553 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58515222071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*3*(-3*-1*sqrt(1377) + 4))**2*-6.\nAnswer: 209952*sqrt(17) + 12061548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 575 = 19*o. Calculate the greatest common factor of 23 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*m + 5*r + 50, -22 = -3*m - r. Let w(y) = y**3 - 2*y**2 + y + 2. What is the remainder when w(3) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2210 and 71\/272594660?\nAnswer: 272594660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9527*w**5 - 14852*w?\nAnswer: -190540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5779915 is divided by 1053.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*b**2 - 164*b**4 - 88*b**2 + 2 + 146*b**2 as v*b**2 + k*b**4 + y + s*b**3 + j*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + c = 2*c - 40, 0 = -3*q + 4*c + 60. Solve -i - 9 = 3*v, -q = 3*i + 37*v - 35*v for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6108256 divided by -616\nAnswer: 9916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 897550, 897560, 897570, 897580, 897590?\n\"Answer: 10*q + 897540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-6))\/i**1)\/((i**(3\/11)\/i)\/i**(1\/6)))\/((((i*i*i*i\/(i*i*i*i**(1\/4)*i*i*i)*i*i*i)\/i*i)\/i)\/i**(-6)*i**4*i*i**(-1\/4)) assuming i is positive.\nAnswer: i**(-119\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168 + 79. Let c = 89.13 + z. Which is bigger: c or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3884 + -3868. Solve 40 - 104 = -h*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4691.\nAnswer: 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130235 is divided by 917.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - -101111011110?\nAnswer: 101111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 3*n + 16, 2*n = 8*m + 118 - 12 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -j + 60, 3*d + 3*j - 100 = -2*d. What is the greatest common divisor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*r + 3*s - 5, 4*r - 9 = 5*s. Let o(f) = f + 3. Let c be o(0). Sort -2, r, c in decreasing order.\nAnswer: c, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 7 - -4 - (-3 - -11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-21)\/(-6) + -6). Let s(w) be the third derivative of w**6\/120 + 7*w**5\/60 + 5*w**4\/24 - 11*w**3\/6 - 7*w**2. Let i be s(k). Is i less than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10004 and 732.\nAnswer: 30012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - z - 132 = 2*z, 3*a - 88 = 5*z. Suppose 0*f + 2*f - a = 0. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34802.8ml to litres.\nAnswer: 34.8028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558648 is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166.5 * -2.\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 46*w**2 + 105*w + 6. What is h(48)?\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -49, -99, -173, -271, -393?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x - 20*x - 4*x)*(-2 - 4435*x**3 - 4404*x**3 + 8812*x**3) to the form q + i*x**3 + o*x + k*x**2 + d*x**4 and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4990498 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4847841 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/103 (b) 0.13 (c) 0 (d) -46\/11 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -12.4. Put -5, 0.1, y in decreasing order.\nAnswer: 0.1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -5. Suppose -8*u + 9 = -f - 5*u, -c*u + 32 = 4*f. What is the units digit of (1\/3)\/(f\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212533858?\nAnswer: 2, 79, 431, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326958186 - 0.1.\nAnswer: 326958185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 3. Let i be b(-4). Is i*(-97)\/(-1) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.066499ml to litres.\nAnswer: 0.005066499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41288.\nAnswer: 2, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.132*0.4\nAnswer: -0.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 7 + 1. Let g be 1\/k + 129\/(-6) + 1. Is g < -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3041*a**6*u - 4*a**3*u + 2*a**2*u - a**2 - 112*a*u - 46 wrt a?\nAnswer: -364920*a**3*u - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuhhccuhc. Give prob of picking 3 c and 1 u.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 + 144. What is the remainder when 69 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 2, r: 1, n: 2, u: 1}. Give prob of picking 1 s, 1 u, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 34 = 4*l, 3 = -4*z - 4*l + 83. Suppose -z*g = -28*g - 265. Let y = -48 - g. Solve -y*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8547199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 6:37 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -61091 equal to -61093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**0)**(-8)\/(g**(-1)\/g)**(5\/8) assuming g is positive.\nAnswer: g**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55.02369 * -0.12.\nAnswer: 6.6028428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w\/(w\/(w\/w**(-5\/6))))\/w)\/w*w*w**(-4\/11))**(-30\/11))**40 assuming w is positive.\nAnswer: w**(-19400\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427324746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04312729359 to 3 decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 6:43 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**34\/c*c**(-9\/2))\/(((c*c\/c**(-42))\/c)\/c)**34 assuming c is positive.\nAnswer: c**(-2799\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 3*d)*(4 - 22 - 16)*(d + d - 4*d)*(0*d + 2*d**3 + 0*d).\nAnswer: -408*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/11)*l**(-2\/3)*l*l assuming l is positive.\nAnswer: l**(41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 + 5*z**5 - 4*z**5 + (-2*z**2 + 2*z**2 - 3*z**2)*(-2*z**3 + 3*z**3 - 2*z**3) - z - z**5 + z.\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 9:38 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*r = -761*r - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2210113311 - 0?\nAnswer: 2210113311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -t + 2*t. Let g be 402\/24 + (-6)\/t. Solve -g = 2*u - 6*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*f + 152*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -70172784900 to the nearest 1000000.\nAnswer: -70173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8920 and 219088580?\nAnswer: 4460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**3*u - 434*q**3 - 5007*q**2 - 2*q*u wrt q?\nAnswer: -6*u - 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 13) + (-34 - -16) + 9 - (0 + -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + -4.97. Let r = 8 + f. Which is the biggest value? (a) -1 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**2))\/u*u)\/u**(-2\/63)*u\/(u**(2\/17)*u)*u\/(u\/u**11))**(-21) assuming u is positive.\nAnswer: u**(-9547\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 30*b - 6. Let h(x) = -31*x + 5. Calculate -5*f(v) - 6*h(v).\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3960669 > -3960672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, 0.79 in ascending order.\nAnswer: -12, 0, 0.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -51*y + 36. What is the remainder when i(-4) is divided by 127?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -22, 5, -0.0449, -0.9?\nAnswer: -0.0449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0563 * 820\nAnswer: 46.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 6. Let n be b(-4). Suppose -n*p - 10 + 38 = 0. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**2 + 2*o + 1. Let v be d(-1). Suppose 3*g - 26 = 5*x, 0 = g + 3*x - x - v. Suppose 41 = 4*c - g. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -5, 16676 in ascending order.\nAnswer: -5, 69, 16676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*s**4 - 4\/9*s + 0*s**3 - 2\/3*s**2 + 0.\nAnswer: 2*s*(s - 2)*(s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Find the third derivative of 3*x**5 - 7*x**5 + 4*x**2 + 0*x**i + 0*x**4 wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 7*k + 42. Suppose -4*o = 2*t - 30, -o - k = 4*t - 4. Solve -f + o = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 137. What is the greatest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o**5\/5 + 58*o**4\/5 - 78*o**3\/5 - 26*o**2\/5 + 84*o\/5 - 32\/5 = 0 for o.\nAnswer: -1, 2\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 6:28 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2287 + -2282. Sort -2\/5, -189\/2, a.\nAnswer: -189\/2, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.9045 rounded to 0 dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 25*c**2 - 11*c - 86. What is the remainder when d(-25) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48, -11, 110, 363, 796, 1457?\n\"Answer: 8*i**3 - 6*i**2 - i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 934787687.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5713796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 8 - 53755*a - 13 + 54378*a.\nAnswer: 623*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let r(y) = -8*y - 19. Let n = 8834 + -8833. Calculate n*r(a) - 6*x(a).\nAnswer: -2*a - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -19, -0.024, 10, -3, 1?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1589, 1582, 1579, 1574, 1561, 1534, 1487, 1414?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 26. Suppose -o = -5*o - 4*l + 56, 5*o + l = 70. Let n = a + o. What is the second biggest value in n, 0, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.4115277 to 1 decimal place.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z**2 + 54*z**2 + 1401875*z**3.\nAnswer: 1401875*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*b - 23. Let s(x) = x. Let n(v) = 4*v + 8. Let j(f) = -n(f) + s(f). What is the units digit of j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2299) + sqrt(2299) + -3.\nAnswer: -3 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*(d\/d**(-2))\/d)**(1\/4)*(((d**(-1\/4)\/d)\/d)\/d)**(32\/5)\/(d**1\/(d**(-8)\/d)) assuming d is positive.\nAnswer: d**(-621\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -71. Let t = -24 + w. Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -3*h - 50. Suppose 0*q = 5*q + h. Which is the closest to q? (a) -1 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -10. Suppose 3 = -w + 4. What is the closest to w in l, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000558121 to 6 dps.\nAnswer: -0.000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 2\/9, -5, 1972?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3 + 22*n**2 - 47*n + 24 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -382048a (base 11) in base 4?\nAnswer: -121103113323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 1, j: 2, g: 1}. What is prob of sequence bg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 6*v - 4. Let k be g(4). Suppose k*p = -4*s - 12, 2*p + 16 = 4*s + 4. Is -52\/11 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12810*o**2 - 12805*o**2 + 23*o + 2 + 4)*(1 + 2 - 2).\nAnswer: 5*o**2 + 23*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 228910663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-135)\/18*184\/(-10) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 10052221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 3:11 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 7) to base 12\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 207950, 415880, 623810?\n\"Answer: 207930*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2. Let v(h) be the third derivative of 0*h**4 - 1\/60*h**5 + 0*h**3 + 4*h**2 + 0*h + 0. Give v(c(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-54) - (-1590)\/540. Solve 4*p + 9 = 3*z, u*z - 9 = 8*p - 10*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/65 + -71\/390. Let b = 888.1 + -888.6. Sort -2, -3, b, z in descending order.\nAnswer: z, b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 6*v**2 + 0 - 4\/5*v**4 - 9\/5*v**3 + 8\/5*v = 0.\nAnswer: -4, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7367 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - 5.11. Let v be 20\/230 + ((-297)\/(-23) - 9 - 0). Let t = -2 - -2.3. Put t, v, 3\/5, u in decreasing order.\nAnswer: v, 3\/5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -64, -143, -254, -397?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 0 - (40 + -40) - (-5 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = -4*r + 4*t, 0 = r - 94*t + 90*t - 162. What is the remainder when 503 is divided by r?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 13*r**2 - 11*r - 21. Determine k(-14).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 19.57.\nAnswer: 1.5656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/4560 and 11\/77520.\nAnswer: 77520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -188272.908 - -511\nAnswer: -187761.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + (-5 - ((-6 - -4) + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**3\/6 + a**2\/2 + 2*a. Let g be u(-3). Suppose 5 = -j, -19779 = p - g*j + 50201. Round p to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.97 + -0.03. Let m = -21\/17 - -155\/153. Let f = -57\/20 - -13\/5. Which is the closest to h? (a) 2 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518321235.\nAnswer: 3, 5, 19, 103, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 1546255*v**3 - 2*v**2 + 1546264*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 2\/9*v**4 + 46\/9*v**2 - 8 - 2\/3*v.\nAnswer: 2*(v - 4)*(v - 3)**2*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 666 + -664. Let u(n) = -5*n**2 + 5*n + n - 10 - 4*n. Let x(d) = d**2 - d + 1. Let i(v) = r*x(v) + u(v). Differentiate i(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/8*(-128)\/8512?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 80590*m + 80591. Calculate w(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6549 - 104857\/16. Let a = -8948 - -572607\/64. What is the common denominator of a and m?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-3 + sqrt(425) - sqrt(425)) + 2 - sqrt(425) - sqrt(425)) + 1*sqrt(425)*-3)**2.\nAnswer: -200*sqrt(17) + 10641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2481 + -2477. Let n be (2\/6)\/((-2)\/18). Which is the third smallest value? (a) s (b) n (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120840618?\nAnswer: 2, 3, 113, 178231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 4, b: 6, f: 4, p: 1, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 212258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*y + 1256002 = 96*y. Is y 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 -1407, -5552, -12297, -21648, -33611, -48192?\nAnswer: -65397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 + 189. What is the units digit of (-1)\/(-2) - (-4070)\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*r = 15538, 37*r - 41*r = 5*a - 77690. What are the prime factors of a?\nAnswer: 2, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1680 + 979. Let r = -476 - w. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*s**2 + 0)*(0 + 0 - 3) + 3*s - 3*s + s**2 + (s**2 - s**2 + s**2)*(1 - 3 + 3).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35094416?\nAnswer: 2, 7, 313343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17749, 71022, 159801, 284080, 443853?\n\"Answer: -j**3 + 17759*j**2 + 3*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2921)\/(-9) - ((-2210)\/234 + 9). Let u = -45 - -110. Calculate the highest common factor of u and a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, -2, -5, -3 in decreasing order.\nAnswer: 145, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-1155)\/162) + 45\/(-165)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*w - 20 = -4*m, -4*m + 55 = 3*w. Let o = m + -8. Let c be (11 - 12)*o\/(-19). What is the biggest value in -9, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000606214 rounded to seven decimal places?\nAnswer: -0.0000606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1711\/(-35) - (-10)\/35. Let o = 49 + i. Which is the closest to -0.1? (a) -2 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14894.566 - -66.\nAnswer: -14828.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + (11 - 4) + (0 - -9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 1. Let u(w) = 42*w - 49. Determine -147*o(x) + 3*u(x).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v*v*v**4\/v*v)**12)**(6\/11) assuming v is positive.\nAnswer: v**(576\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6657869?\nAnswer: 569, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 246*c**3*m**3 - c**3 + 2*c*m**3 + 16*c*m**2 + 8*c wrt c.\nAnswer: 1476*c*m**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21653, 86675, 195045, 346763, 541829, 780243?\n\"Answer: 21674*k**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrdcckccrmkkkkkkkrc. What is prob of picking 2 k and 2 c?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*98978.\nAnswer: -19795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 7a?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -814869774.6 to the nearest 10000.\nAnswer: -814870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 544418 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 - 1913 = -7*t. What is the first derivative of 12*k - 24*k - 230*k**3 + 4*k - t + 8*k wrt k?\nAnswer: -690*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.3, 2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 73817685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 4, -2, 5 in descending order.\nAnswer: 18, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193481\/14 + 13812. Find the common denominator of -59\/8 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53177 + -26643. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -0.2, -0.8, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -549 + 552. Suppose 5*m - 2*i - 19 = 0, -c*m = -8*i + 10*i - 5. Solve m*h + 2*p = 9, 2*p + 16 = -3*h + 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, 1384\/21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1215)\/270 + -2 + 5)*92\/6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 217, 247, 311, 421, 589, 827?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 2. Let l = v + 3.5. Suppose -3*c + 3 = 6. What is the third biggest value in l, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*m + 57*m + 264177 - 282182 = 0 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232003231303 (base 4) to base 14.\nAnswer: 1864135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = 0. Let v = -881 - -883. What is the tens digit of v*(2 + r) - -43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82613 or -4461067\/54?\nAnswer: -4461067\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 51. Let j(m) = -2*m - 5. Let n be j(-4). Solve u*v + 9 + 3 = -n*i, -2*v - 23 = 5*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.226 + 10.226. Do -1\/14 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -768974?\nAnswer: -768975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 17 = -l, 303*l + 37 = 4*m + 300*l for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 7*f + 17. Let x be w(-4). Let d(u) = -2*u + 5. Let a be d(-5). Solve 3*g + x*s - a = -5, 0 = 4*g - 3*s + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/4 + 2*q**2 + 5*q - 9. What are the prime factors of j(-4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, x: 4}. What is prob of sequence yy?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/28)\/2)\/(5\/35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -91, -185, -329, -529, -791, -1121?\n\"Answer: -g**3 - 16*g**2 + 5*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/22 or -1?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 774, 1225, 1696, 2193, 2722?\nAnswer: 3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {z: 2, g: 1, l: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 5*r**2 + 5*r + 1. Let z be w(4). Suppose -2*b - 9 = -z*b. Let o(i) = -6*i**2 + 83*i + 202. Let m be o(16). Put m, b, -1 in decreasing order.\nAnswer: b, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000077319 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5. Let d(x) = 621*x + 9. What is -d(c) - 2*o(c)?\nAnswer: -621*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/54868625 and 71\/50?\nAnswer: 109737250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -1\/451 (c) 0 (d) 3\/4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13, -405, -1 in increasing order.\nAnswer: -405, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0 - 1) + (21 - (16 - -14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-455)\/13))\/(9\/405)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 + (2 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 998450183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3586*v**4 + 1211*v**3 - 10*v**2 + 2280120 wrt v?\nAnswer: 86064*v + 7266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 9*u + 100. Suppose 2*b = u + 150. What is b rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*14\/(-378))\/(1\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15086998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, w: 1}. What is prob of sequence wj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7488 (b) 0.038 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 295\/(-315) - -1 - (-2)\/(-7). What is the third biggest value in j, -5, -0.17, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 8 in increasing order.\nAnswer: -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 - 3 - (-58 + 74).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4386 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209.152 decades in millennia?\nAnswer: 22.09152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (104\/(-130))\/((-4)\/10). Suppose u = -5*k + 28, k - 21 = -2*u - n*k. Let b = 4 - -7. What is the remainder when b is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from juujjj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15614\/7 - 2237. What is the common denominator of (-4)\/(-14) - (-508)\/(-63) and q?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - 2. Let y = 1.33 + -2.64. Let z = -0.91 - y. What is the nearest to f in z, 0.7, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -1.3. Which is the third biggest value? (a) 0 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 72\/15 + (-3)\/(-15). Let l(z) = -2 - 3*z + 5 + 0*z + h*z. Let x(i) = i + 3. Let c be x(-5). Calculate l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8. Determine i so that -2\/3*i**4 + 2\/3*i**5 + 0 - 2\/3*i**3 + 2\/3*i**2 + r*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:21 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57 - 1f9431?\nAnswer: -1f9488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2. Let x(a) be the first derivative of 0*a - 21 - 10\/3*a**3 + 0*a**2. Determine x(h(y)).\nAnswer: -160*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 - 6*s + 626 + 4*s**2 - 630. Let c be a(7). Solve 2*p - 2*w = 3*p - 14, c*w + 5 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 3*w + 1. Let k be u(4). Let -3*z**4 + 0*z**4 + 4*z**4 + 2*z + 9*z**2 + 5*z**3 + k*z + 2 = 0. What is z?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -15 + 21\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8091282, 16182559, 24273832, 32365101?\nAnswer: 40456366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 215 + be?\nAnswer: 2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/56 and 209\/308*24\/22.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 9*n + 10. Let j be c(7). Sort 3, j, -2, 5.\nAnswer: j, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 4:37 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 91 = 3*r - 2*z, 0 = -3*r + z + 301. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1079 divide 825179539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -3*q + 48, -2*q + 3 - 6 = d - 36 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**7\/210 - 27*o**5\/20 + 75*o**3 + 279*o**2. What is the first derivative of j(p) wrt p?\nAnswer: -4*p**3 - 162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137093 is divided by 65.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -0.5, -1, 1\/6.\nAnswer: -1, -0.5, 1\/6, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 3*x**4 + 14 - x**4 - 33 + 11 - 2*x**3 - 6*x**2 as p*x**3 + s*x**4 + c*x + k*x**2 + h and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-3)\/(-810)*(-636)\/106.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 147655\/(-35) - 4\/14. Let i = 2985 + g. What is the common denominator of (-16)\/(-28) - i\/168 and 25\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-390))\/((-1572)\/920275) + 27.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200504998 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5293893?\nAnswer: 3, 11, 59, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31066 in -4\/7, -2, -1.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 107663*f + 3013787. What is d(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31704 - -31729. Suppose 82 = -5*z + 2*z - o, -3*z = 2*o + 83. Let k be (1 + z\/21)*-7. Solve 5*h - v = 0, -4*a + k = -2*h - 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 499 or 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60 - 862*x + 863*x - 23*x**2 - 4*x**2 wrt x?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175186293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*a**2 + 830*a**2 - 418*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**2 - 701*r**3 + 8*r**4 + 9*r**2 - 98 + 701*r**3 wrt r?\nAnswer: 32*r**3 + 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 - 63192*w**4 + 255075748*w**3 - 43436158656*w**2 + 1889899069696*w = 0. Calculate w.\nAnswer: 0, 88, 7811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (1*sqrt(95)*4 - sqrt(95)))\/(3*sqrt(500)).\nAnswer: -sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 9, -3 in descending order.\nAnswer: 9, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99983.3 - 198149.\nAnswer: -298132.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 932\/28 + (-6)\/21. Suppose -5*b + 0*d + 40 = 5*d, b + 3*d - 18 = 0. Suppose -b*u + 14 = 5. What is the greatest common divisor of o and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l - 12, -5*n + 2 = -l. Let z = n - 2. Let f(t) = 4*t**2 + t. Let y be f(z). Solve 2*s - y*j + 0 - 19 = 0, -j = 4*s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-760)\/(-120) - (-40635)\/567.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19449991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.024925 microseconds in seconds?\nAnswer: 0.000006024925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2327, -5385, -8443, -11501?\nAnswer: -14559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241743800*c**3 - 15*c + 6601552.\nAnswer: 1450462800*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1338*m - 1366*m = 28 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 22*d**2 + 18*d + 21. What is the units digit of z(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15746 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2 - 255*d - 774 = 0.\nAnswer: -3, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13108807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482060?\nAnswer: 2, 5, 24103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1418.6 and 19274771.\nAnswer: 19273352.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25092652 is divided by 2137.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.294 - 1.39. Let g = f - -4.096. What is the second biggest value in g, 1, -5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11392.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*d = -8 - 15, -2*z = 2*d + 14. Let a(o) = o - 5. Let p be a(5). Let n(i) = -i - 13. Let v be n(-11). Sort v, z, p.\nAnswer: z, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.391425\nAnswer: 1.174275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f**3 + 51*f**2 - 51*f**2)*(2*f**2 - 2*f**2 + f**2).\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 2. Suppose -i + 6 + 15 = 0. Suppose -4*x = -4*c + 28, 3*x - c + 3*c + i = 0. Determine u(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-849)\/(-27) - 8\/18. Solve 3*s - 4*s + 23 = -5*f, -3*s - t = 5*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7920597ng to kilograms.\nAnswer: 0.0000000000007920597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 16*c + 4150. What are the prime factors of c?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337223 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 598 = -3*c, 8*c - 985 = 3*c - w. Let q(r) = -r**3 - 14*r**2 - 19*r - 29. Let g be q(-13). Calculate the highest common factor of c and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 7:10 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**8\/6720 - s**7\/1260 + s**6\/180 - s**5\/60 - 5*s**4\/12 + 3*s. Let v(d) be the third derivative of b(d). What is v(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d0 - -1abd?\nAnswer: 1b9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let o(g) be the second derivative of 7*g**6\/360 - g**5\/24 - 41*g**3\/6 + g + 47. Let l(n) be the second derivative of o(n). Give l(t(p)).\nAnswer: 28*p**4 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 3 - (0 + -5 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -44*t**3. Suppose -2*l - 5*p + 103 = 32, 4*l - 128 = 4*p. Let x(j) = j**3. Give l*x(n) + m(n).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85731 and 94741.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 2550.5327.\nAnswer: 765.15981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 - 7805 = -253*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60781 from -1.\nAnswer: -60782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, r: 3, v: 1, k: 2}. Give prob of sequence vkr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i + 24. Calculate the remainder when (-10)\/(80\/(-162)) - 2\/8 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1a98?\nAnswer: 1a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2000294.\nAnswer: 2, 37, 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 6*n**2 + n - 4. Let s be (1\/2)\/(3\/6). Let x be (s + -1 + -3)*-2. Let z be q(x). Sort 4, z, -5 in increasing order.\nAnswer: -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -4*m**3\/3 - 139*m. Let q(b) = -6*b**2 - 2*b - 2. Let p(x) = -x**2 - x - 1. Let y(r) = -2*p(r) + q(r). Give y(i(c)).\nAnswer: -256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 9:04 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**3 - 2*r**2 + r. Suppose 0 = -5*d - 0*d - 25. Let l = d + 6. Calculate i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 28*s**2 + 33*s - 5. Let j(t) = t**3 - 15*t**2 + 18*t - 1. Let o(k) = -4*c(k) + 7*j(k). Give o(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275\/63 + -5\/504. Let k be (10\/(-12)*2)\/((-4)\/(-144)). What is the common denominator of q and ((-20)\/k)\/(1 - 179\/177)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 19*r**2 + 20. Let w(b) = 101*b**2 + 102. Give -22*g(q) + 4*w(q).\nAnswer: -14*q**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 45 + 12*g**3)*(g + 3*g + 3*g)*(-17 - 17 + 44).\nAnswer: 840*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**6\/5 + 19*c**2\/2 - 27*c. What is the derivative of g(s) wrt s?\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 306.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 4*r + 2, 5*r + 6 = 2*f - 0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7079.\nAnswer: 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.18575ml to litres.\nAnswer: 0.08418575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 92 = -5*r, 2*a - a + 3*r - 116 = 0. Let m = -77 + a. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.57753869 rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 2*p**4 - p**3\/3 - 16*p**2 + 4*p - 2321. Factor j(i).\nAnswer: (i - 2)*(i + 2)*(8*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {h: 6, z: 4, e: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (9 - -5)) + 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Let g(f) = -3*f - f + 6*f - f. Suppose 0 = -3*p + 3*h - 1 + 13, -p = h - 2. What is p*g(r) + 4*m(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 19*q + 15. Suppose 0 = -0*k - 2*k + 24. Let d = k - 7. Is i(d) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12103*p - 62 + 27 + 35.\nAnswer: -12103*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.74.\nAnswer: 0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0.5, -432, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 21. What is the remainder when 5 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4 + 40929*m**3 - 2335419*m**2 + 32092879*m + 34469226 = 0 for m.\nAnswer: -40986, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*y + 5505*y**3 - y**2 - 180*y - 5065*y**3 + y**2 wrt y.\nAnswer: 2640*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 261, 4, -76038, -2 in descending order.\nAnswer: 261, 5, 4, -2, -76038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*t - 3*u, -2*t - 36 = u - 5*u. What is the remainder when 6 is divided by (15\/(-6) - -3) + (-35)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 3*a**5\/20 + 9*a**2\/2 + 7*a. Find the first derivative of h(d) wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88 - 29313*d - 122*d**4 + d**2 + 29313*d wrt d?\nAnswer: -488*d**3 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13632299, -27264600, -40896901, -54529202, -68161503, -81793804?\n\"Answer: -13632301*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 31*d - 36. What is the remainder when p(-10) is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 17. Let y = x + -30.00038. Round y to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72369 (base 11) to base 5.\nAnswer: 11334322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*d = -564*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3188*c**2*s + 6756*c**2 wrt s.\nAnswer: 3188*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00631132 rounded to 4 dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41251 (base 15) in base 12?\nAnswer: 9b541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6132 (base 8) to base 9.\nAnswer: -4303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoo when three letters picked without replacement from {b: 4, o: 6, z: 4, s: 1, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*l**3 + 3*l**4 + 8*l**2 - 3 + 51*l**3 + 8*l**3 - 3 in the form c*l**3 + f*l**2 + h*l**4 + j + d*l and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20346 and 25554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.201356 rounded to one dp?\nAnswer: 46.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:05 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t**2 + 7*t + 4. Let z be c(5). Let g = -3 - z. Suppose g = 3*v + 2*m - 42, -80 = -5*v - 4*m. What is the remainder when v is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155 - -86)\/(980\/728 + (-4)\/(-26))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.8 - 2. What is h rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*q + 2 - 7, 4*x - 3*q = 14. Suppose 2*u - x*g = -u + 14, -4 = -u + g. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*c + 468 = 2*c, -3*y - 5*c + 726 = 0. Suppose f = -2*o - o + 69, o + y = 4*f. What is the smallest common multiple of f and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*b**3 + 90*b**3 + 31*b**2 - 19*b**2 - 14*b**2 - 67*b**3.\nAnswer: 70*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {a: 2, x: 4, j: 1, l: 8, g: 2, z: 3}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 225*n - 671. Let r be s(3). Solve -3*v + 10 = 16, -2*x + 8 = -r*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 157*f**3 - 189?\nAnswer: 471*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18787772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 y when four letters picked without replacement from {i: 1, w: 6, v: 4, y: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*m - 262 - 458. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*i - 3436 + 1188, 0 = 3*k - 12. Calculate the least common multiple of i and 63.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - 3. Let p be (-22)\/(-55) + x\/10. Let o be (-61)\/2*(-200)\/p. Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 1. Let f(z) = -7*z**2 - 7*z - 6. Suppose -3098*g + 48 = -3090*g. Determine g*j(s) + f(s).\nAnswer: -s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8967 and 5?\nAnswer: 44835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 2*v**2 - 137.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 2110*l + 12622. Determine o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -1 + -4 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4766*q**6 - 9*q**2 - 1.\nAnswer: 571920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 6*c**2 + 9*c - 2. Let y(w) = 18*w**3 - w**2 + 1. Let h = 3 - 2. Calculate the remainder when g(6) is divided by y(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372201 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let k(z) be the second derivative of -2\/3*z**3 + 0 - z + 1\/2*z**2. Let x(g) = -2*g**2 - 23*g + 17. Let w be x(-12). What is w*c(y) + k(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 2\/13, 4\/79, 0.05?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 5. Let t(n) = -n**2 + 1. Let r be t(3). What are the prime factors of p(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94751817 is divided by 1517?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-4 - 2) - 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.032\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1098*q**2 - 861. Let l(a) = -54. Let m(u) = -3*l(u) + v(u). Find the first derivative of m(n) wrt n.\nAnswer: 2196*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*p - 11, -4*p + 8 = -12. Let m = 32 - 28. Suppose m*u = 196 + 40. Calculate the remainder when u is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p. Let t(b) = 2*b + 1069. What is v(t(w))?\nAnswer: -10*w - 5345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386478 is divided by 957?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 17*c**2 + 5*c + 2. Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6291 (base 11) to base 10\nAnswer: -8328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008015 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1752 is divided by 61.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((32895\/68)\/5)\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, i: 1, x: 1, b: 4}. What is prob of picking 1 i and 1 b?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -321495.\nAnswer: 11\/321495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16392204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001843 rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - 175*t**2 + 8*t + 7*t**2.\nAnswer: -168*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*i + 1636 + 385 + 339 = 0 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by 6?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11965844?\nAnswer: 2, 11, 151, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 523252 + -2?\nAnswer: 523250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.061 - -2.061. Let l = -0.2 + -0.8. Let y = l + u. What is the third biggest value in 0.1, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 30*q - 1. What is z(-2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11058 = 47*b - 41*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 + 25940\/53550. Let q = o + 2\/85. Which is the second biggest value? (a) q (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4178 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108 or 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35110*r**2 - 17548*r**2 - 17558*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -119, -405, -849, -1451, -2211?\n\"Answer: -79*v**2 - 49*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:55 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102213 - 102962.89. Let a = 739 + t. Let j = -0.11 + a. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1149*o**4 - 2*o**3*x**2 - o*x + 2*o + 959*x**2 - 12*x wrt o.\nAnswer: 13788*o**2 - 12*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-8)\/(-28))\/(45\/21)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.02, -1\/16, 2\/15, 3 in decreasing order.\nAnswer: 3, 1\/4, 2\/15, 0.02, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 4:20 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 504019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*(0 - 4\/16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**3\/2 + l**2 - l - 33. Let i(c) = 9*c - 7. Calculate 2*i(u) + 7*m(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*h**3 - 73*h**2 + h + 19141.\nAnswer: 684*h - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -749*14107.\nAnswer: -10566143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -41. Let k = 18.946 + q. Let d = k + -0.146. What is the closest to 1 in -5, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e94 - 3?\nAnswer: -e97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 3*u + 4*u)*(5*u - 7*u - 4*u) to z + b*u + w*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/15*75\/6. Suppose 2*x - 2*s - u = 0, -x - s = 3*s - 20. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4906 and -11575.\nAnswer: 5678.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38307, 38316, 38325, 38334, 38343, 38352?\nAnswer: 38361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 16*t - 11. Calculate r(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4147756 to the nearest integer?\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 810320.4388 rounded to the nearest 10?\nAnswer: 810320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 293*b = -290*b - 30, -3*v = -3*b + 12. Let c = -2.9 + -1.1. Let d = -6 - c. What is the smallest value in -4, v, -0.2, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 - 249495*i**2\/2 - 7780907004*i + 7781031752.\nAnswer: -(i - 1)*(i + 124748)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2024 and 3680?\nAnswer: 40480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-4)\/(-3))*180\/27?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1088765 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.19? (a) 10 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12*s - 71. Determine f(0).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**6\/120 + s**5\/15 - s**4\/24 - 2*s**3\/3 - s**2 + 1. Let u(n) be the second derivative of f(n). Determine u(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 0 + 33*f**2 + f - 34*f**2 - 3 in the form i*f**2 + c*f**4 + d*f**3 + q*f + b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 12:13 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 10:24 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -648658*t**4 + 384644*t**2 wrt t?\nAnswer: -15567792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -4) + 15\/1. Suppose -33*h + 35*h = f. Calculate the smallest common multiple of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4285 divide 2430961915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/2))\/(i*i\/(i*i\/(i\/((i**(-4)*i)\/i)))))**(-39)*i**(5\/6)*i\/i**2*i\/i**(2\/5)*i\/i**(-1\/2) assuming i is positive.\nAnswer: i**(4153\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24524.\nAnswer: 2, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -575, -843, -1113, -1385, -1659, -1935?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1) + 3 + 1. Suppose -3*r - 9 = -d + 4, 0 = 4*d - v*r - 24. Suppose 6 = -10*p + 7*p. Sort 0, d, p.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*36*(-51)\/(-174420).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 2*a - 5*a)*(-1 + 0 + 0) + (0 + 0 - 2)*(-2*a - a + a) + 0*a + 7*a - a to the form u*a + x and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:12 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzqzqkzkkzkzzzkzzkq. Give prob of picking 2 k and 1 z.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 c when three letters picked without replacement from ucccccccccccccccucc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 + 2.5. What is the second smallest value in b, 7, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by -5?\nAnswer: -123\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 + 2*l**2 - 2*l**2)*(-8*l + 9 - 9) + (-2*l**2 + 0*l**2 + l**2)*(-l**2 + 6*l**2 - 2*l**2) + 1287 - 1287 + 149*l**4.\nAnswer: 122*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0. Let f = -114 + 114.2. What is the nearest to 2\/5 in -5, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98\/283 - -359\/1415. Sort g, 4, -3, 904 in descending order.\nAnswer: 904, 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 2*m + 2*m - 7*m + 6*m**2 - 10 + m. Let w be i(5). Solve w*j - 39 = -14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4 = -0*g - q, -3*g = 2*q + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*b*n**4 + 155*b*n**3 + 6123*b*n**2 + 2*n**3 - 8*n**2 wrt n?\nAnswer: 864*b*n + 930*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 4*v**2 - 9*v - 7. Calculate the remainder when 14 is divided by p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.91 + -20. Let n = -575.2 - -575. Which is the closest to q? (a) n (b) 2\/13 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 49059*d + 343364.\nAnswer: (d + 7)*(d + 49052)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 227*h**3*i*u**3 - 1269*h**3*i*u - 3*h**2*i*u**3 + 14*h**2*i*u**2 + 6*h**2*i + 2*h**2 + 2*h*u**3 + 6*u wrt h?\nAnswer: 1362*i*u**3 - 7614*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(11*g + 8*g - 12*g)*(0*g - g + 2*g) + (2*g**2 + g**2 - 5*g**2)*(-1 - 3 + 3) - 5*g**2 + g**2 + 5*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/65 and 18\/9538945.\nAnswer: 9538945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 0 + 22 + 14, -z - 15*r = -274 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - w**3 + 0*w**3)*(4*w**2 - 9 + 9).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 8\/3*k**3 - 1\/4*k**4 - 4*k**2 + 186 - 5*k. Give l(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 7. Let n be 51 + r - (-3 - -4). Suppose -5*i - z + 0*z + 63 = 0, -4*z = -5*i + n. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 7. Calculate the smallest common multiple of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - 3) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**3 - 4*f + 3*f**3 + 2*f)*(-3*f + 0*f + 2*f)*(0 - 2 + 0).\nAnswer: -6*f**4 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.36 (b) -0.1 (c) 0 (d) 4 (e) -55 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {i: 2, u: 5, v: 9, f: 2}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/17 - 1684*j**4\/17 + 18676*j**3\/17 - 76608*j**2\/17 + 138078*j\/17 - 92124\/17 = 0.\nAnswer: -853, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1196539 - -1196551. Let f = -4 + 13. Solve -v = 3*a - f*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14732, 14783, 14834, 14885, 14936?\nAnswer: 14987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -dbd384?\nAnswer: dbd378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000962185 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 17912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 284479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 2*c - 7*c**2 - 1 - c**2 + 1 + (c**2 - c**2 - 2*c**2)*(4 - 2 - 1) - c**2 + 3*c**2 - 3*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198.3044 + 34.\nAnswer: -164.3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4 (c) 739 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48396 is divided by 23448.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 16904 = 21*j. List the prime factors of j.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 6630?\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (19\/(-38))\/(1\/(-2772)*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22343, 89324, 200961, 357254, 558203, 803808?\n\"Answer: 22328*o**2 - 3*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 544900640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iini when four letters picked without replacement from {i: 2, n: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403239 and 89931?\nAnswer: 2901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*v + 5*j + 5, -5*v + 20 = 5*j. Suppose 2*x - v*x - 5*l + 4 = 0, 0 = 3*x - l - 12. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.564 + 0.564. Let l = 0.2 + -0.1. Let h = 0.3 - l. Which is the nearest to 1? (a) w (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = -0*a - 2*k, -4*a = 3*k + 8. Sort 1, a, 5 in descending order.\nAnswer: 5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 23*h - 28. Let a(c) = -c**2 + 4*c + 1. Let g(i) = 2*a(i) - l(i). Let m = -10 + -5. Calculate the lowest common multiple of g(m) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39754, -69361, -98968, -128575, -158182?\nAnswer: -187789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((2 - -1) + (7 + -9 - 7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - -1.97. Let d = 1.3 + 2.7. Let y = d - 5. What is the second biggest value in r, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let k = -1.3 + 0.3. Let n = y + k. What is the second biggest value in n, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 16247?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*v + 55, -4*v + 4*z + 120 = v. Solve 0*m - 4*m = -v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75\/4 of a millennium?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 12) to base 11.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19\/2)\/((-4)\/56). Let v = -89 - f. Suppose 0 = -3*k - k + v. Calculate the smallest common multiple of 8 and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 4*v - 5. Let k be j(2). Let t be 507\/12 - k\/(-4). What is the highest common factor of t and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 6. Let w = c - 6. Let g = -1.99993 - w. Round g to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o + 51. Determine n(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 4*g + 5. Let y be (0 - g) + 30\/(-33). What is the third smallest value in y, -3, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = -4. Let r be (3\/4)\/(o\/(-12)). Suppose 2*q = -2*p + 2, -2*p = -3*p + 4*q - 19. Is r at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 3, w: 2, o: 1}. What is prob of picking 1 d, 1 o, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (4 + -10) - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12940 divided by 4?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, 17, -2\/27, 0.4 in descending order.\nAnswer: 17, 8\/3, 0.4, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-3)\/(-90)*6\/4.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 9585\/2079 - -3*4\/(-66). Which is the nearest to 13\/5? (a) -1.3 (b) 1\/4 (c) 6 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6226 + 6234. Calculate the highest common factor of 904 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -75*g + 146*g - 73*g + g**2 + 3. What is h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*w**2 + 3*w**3 - 4*w**3 - 160*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 237*j**4*k**2 + 133*j*k**2 - 3*k**2 - 1111*k + 4 wrt j.\nAnswer: 948*j**3*k**2 + 133*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(48\/1410)*-5.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from mhmrrmhmhpphhrprphr.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 483 + -478. Suppose 12 = 4*f, -5*f + 60 = -l*i - 100. Let u(c) = c**3 + 5*c**2 - 5*c + 1. Let v be u(-6). Sort i, v, 0 in decreasing order.\nAnswer: 0, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/89 - 3281\/356. What is the common denominator of 61\/12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106686 + 2?\nAnswer: -106684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-615))\/((3\/(-45))\/((-142)\/(-639)))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8409767*t**3 - 2642351*t**2 wrt t?\nAnswer: -50458602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + 6*(1 + sqrt(425)) + sqrt(425).\nAnswer: 6 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*m = 3276 - 3398, 3*x - 2*m - 80 = 0 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*y - 9. Suppose 3*u + 7 = -x, 5*x + 5 = y*x - 3*u. Solve 3*a + x*p + 7 = 1, 2*p = 2*a - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.078 in -125, 2, 0.9, 18?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1746360 and 1232.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2517, -5037, -7559, -10083, -12609?\nAnswer: -15137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15522 is divided by 509?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 86 = -29. Determine h so that -3\/2*h**2 + 9\/2*h - l = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 27436 + 16*h**2 - 32*h**2 + 10*h**2 - 27436.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6354 + 6354 + 9*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a6 + -a720?\nAnswer: -a069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.32 and -0.005943?\nAnswer: -0.00190176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*r**2 + r**3 - 129*r**2 - 2 + 1 + 8*r**3 + 234*r**2 to the form z + h*r**3 + g*r + j*r**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -112410952 at most as big as -112410952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 14. Let u be g(9). Suppose 2*c - 134 = -z, -u*c = 15 - 5. Let f = z - 30. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -94, 0.5, -2\/5, 3\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 11*f - 22. Let r be k(-7). Suppose -4*t = -6*t + r. Suppose -2*n = t*n. Solve n*b = 3*b - q + 4, 5*q + 6 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*k + k - 4*t, -k + 4*t = -15. Is k <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -15509*d**3\/6 + 79*d**2 + 54*d + 2. Is i(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27043, 53140, 77363, 98776, 116443, 129428, 136795?\nAnswer: 137608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*r + 3, 3*t - 1 - 7 = -5*r. Let w be 200\/t*(-4)\/(-5). Suppose 0 = -5*g + 5*b + w, g + b - 22 = 18. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 130. Let a(s) = -3*s - 195. Let l(o) = -5*a(o) + 7*f(o). What is the remainder when 242 is divided by l(-38)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0)**(-24)\/(i**(-1\/18))**(-35))**44 assuming i is positive.\nAnswer: i**(-10274\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.3 and -2.\nAnswer: -22.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12200202 (base 3) in base 14?\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2888 and 1679372?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -20. Suppose -t = -3*n - 14, -3*t + 32 = h*n - 10. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 375 = -225. What is the least common multiple of 260 and x?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -70\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.14 (b) 3 (c) -13 (d) 3\/7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34088146247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94282385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 1 - 2*h + 0 - 3*h**2)*(27*h**3 - 35*h**2 + 35*h**2).\nAnswer: -27*h**5 - 54*h**4 - 27*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 89\/2. Let r = 428\/161 - 18\/7. What is the nearest to 0 in 5, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.051 > 26.954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*(3*(1 + sqrt(300) + sqrt(300)*5)*2*-1)**2 + 2.\nAnswer: 77760*sqrt(3) + 6999050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.718 - 1.79118. What is i rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9030a (base 16) to base 7.\nAnswer: 5006605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6012 = -3*a - 0*a - 2*k, 2004 = a + 2*k. Suppose -92*c + a = -80*c. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5906 - 2243. Let n be (-2)\/12 + k\/(-54). Let y = 113 + n. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72987, -146187, -219399, -292629, -365883?\n\"Answer: -c**3 - 73193*c + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 8 + 2, 0 = -2*k + 4*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {h: 2, j: 2, t: 1, d: 7, s: 1, g: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8814 - 1\nAnswer: 8813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*b + 368 - 72 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.36 + 0.06. What is t rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154000812 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3040 (base 6) to base 2\nAnswer: -1010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20112001010 (base 4) in base 10?\nAnswer: -2187332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(6)\/sqrt(2)) + -4)**2 + 2 + sqrt(243).\nAnswer: 9*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 6 + 2*1\/1. Calculate the greatest common factor of r and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29, 7, 45, 85?\n\"Answer: n**2 + 33*n - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5827 + 3464 + 54*g**4 + 6*g**2 + 2*g**3 - g**3 - 2043 wrt g.\nAnswer: 216*g**3 + 3*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1725? (a) 0 (b) 4 (c) 0.76 (d) 0.4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54462387, 108924781, 163387161, 217849521, 272311855, 326774157?\n\"Answer: -x**3 - x**2 + 54462404*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 11. Suppose o = -2*o - 5*s + 20, -s + 4 = -3*o. Let b = 1 + 5. What is the least common multiple of b and r(o)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21649230*o**2*t**3 + 7*o**2*t**2 + o**2 + 14*o*t**2 + 29*o*t - 4 wrt t.\nAnswer: 129895380*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*u, -3*f = -u - u + 14 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8375 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*t + 5*t, 5*t = 5*b - 140. Let g = b + -22. Suppose -2*f - d = -f, -g*d = 5*f - 6. Solve f*x = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 1 y when three letters picked without replacement from yynyyyyyyyymynyyy?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 17*c + 265. Calculate s(-13).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 + 124*s\/3 + 650.\nAnswer: -2*(s - 75)*(s + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14387 and -648?\nAnswer: 15035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22949 and -0.5.\nAnswer: 22948.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/((-1)\/(-3)*(-27)\/90). Calculate the greatest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 16*c**2 - 32*c - 29. Is i(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 276*k + 8 - 8.\nAnswer: -276*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35\/(-15))\/(1\/9). Let d be ((-12)\/(-112))\/((-18)\/n). Let b be -1 + (1 + 0 - 2). What is the second biggest value in 0, b, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8261014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 63125?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238687?\nAnswer: 37, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3628012 by -19.\nAnswer: 190948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112600 is divided by 11470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:19 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/120 + 11*h**5\/60 - 5*h**4\/12 + 4*h**3\/3 - 2*h**2 + 17*h. Suppose -r + 22 = -18. Suppose -5*d + r = -d. Calculate w(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 15 = -7*u + 2*u, 0 = 2*u + 4*n + 16. Factor 2*m**u + 0 + 1\/2*m.\nAnswer: m*(4*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**3 - 8*i**2 + 8*i + 5. Let a(p) = p**3 - p**2 + p + 1. Let q(z) = 3*a(z) - b(z). Determine q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 7*h - 3. Let m be 1\/((-18)\/15 - -1). Let p = -2 + 4. Let r be 0\/(-2) + p + 0. Let a(o) = -3*o - 1. Calculate m*a(k) + r*i(k).\nAnswer: -2*k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 426*j = -427*j - 1469195, 3*x = 5*j - 1101925. Round x to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 1\/3*m**6 + 0*m**5 - 5 + 0*m**3 - 1\/2*m**2 + 0*m**4 + 0*m. What is the second derivative of q(l) wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-5 - (-58)\/6)*54\/21 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/463364 and 59\/3300.\nAnswer: 34752300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 13. Suppose 8 + 28 = -9*p. Let a(b) = 2*b - 6. Calculate p*n(h) - 9*a(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16042 (base 13) to base 14.\nAnswer: 11337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/6*(-972)\/(-45). Suppose -4*j - 4 + q = -4*a, a - 35 = -j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {s: 6, m: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*s**2\/3 + 64276820*s\/3 - 16069204\/3 = 0. Calculate s.\nAnswer: 1\/4, 4017301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((0 - -1)\/1) - -3. Suppose -m*l + 5 + 1 = -4*c, l + 4*c = 3. Solve 2*p = -l - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*v - 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1282*j - 13200 = -982*j for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2998, -3007, -3028, -3067, -3130?\nAnswer: -3223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 1 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*i + 7. Let g be i\/4 + (-18)\/(-8). Put 0, -1, g in decreasing order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 33 + 39 + 2*u**2 - 27)*(u + 2*u**2 - u) + (3*u**3 - 4 + 4)*(-2 + 2 - u) + 2 - 2 - 2*u**4.\nAnswer: -u**4 - 4*u**3 - 42*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669\/441069 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*(-13 - -12). Let i be 2*v*1*(1 - 2). Solve -2*q - 2*u + 12 = -0*u, -i = 3*q - 2*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126280 (base 9) to base 4.\nAnswer: -102233223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 8:27 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(125) + -3)**2 + ((1 + sqrt(125))*6)**2.\nAnswer: 320*sqrt(5) + 4678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-15))\/((-2)\/(-5)). Suppose 6 = n*h - h. What are the prime factors of 26\/10 - h\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 2 - 8790\/(-586)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -4 (b) 2\/19 (c) -0.17 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/27 and -151\/540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 19*f + 13*f - 31*f)*(-f - 4 + 4) in the form p*f**2 + r + y*f and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.283672625 rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 32, 9 in descending order.\nAnswer: 32, 10, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*k**2 - 119*k**2 + 230*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 - 487446*k - 19800300243 = 0. What is k?\nAnswer: -81241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 7, i: 5, c: 5, j: 1}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219.1407 millennia to centuries.\nAnswer: 2191.407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 20*h + 27. Let o(y) = -2*y + 1. Calculate 5*o(m) + s(m).\nAnswer: 10*m + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w = -158 - 18 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2 - 8. Suppose -5*n = -h*o - 20, 0 = -0*n + 5*n + 4*o + 15. Let s = n + 10. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d**2. Let l(u) be the second derivative of -u**3\/2 + u - 47. Calculate l(y(t)).\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100275 = 11*k - 5*k + 19*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaataaaaaaataata. What is prob of picking 2 a?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724950327.\nAnswer: 3, 241650109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -23 + 0 + 4 + 8 - x**2 + 5*x. Let w be g(8). Let m = -15 - w. 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: Multiply 1 and 57655477.\nAnswer: 57655477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 10*q + 1. Suppose 3*w + 47 = 38. Let x(t) = -t**2 - 9*t. Give w*f(d) - 4*x(d).\nAnswer: -2*d**2 + 6*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*d + c**2*t + 15*c**2 - 160*c*d*t + 2*c - d*t + t wrt d?\nAnswer: -2*c**2 - 160*c*t - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 6*i + 7*i + 7*i.\nAnswer: 8*i - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(1700))**2 + 0 + ((sqrt(1700) - (sqrt(1700) + 0))**2 + -5 - sqrt(1700)) + (sqrt(1700) + 1*sqrt(1700))**2 + 4.\nAnswer: -170*sqrt(17) + 13615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1670 = 45*k + 500 - 270. Suppose r = -6*r + 280. What is the least common multiple of r and k?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4676*c**2 - 21*c + 67. What is the units digit of a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 3*s**7\/35 + s**6\/3 + 2*s**5\/15 + 75*s**2\/2 - 23*s + 2. Let d(w) be the first derivative of y(w). Find h such that d(h) = 0.\nAnswer: -2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*q - 119. Calculate the greatest common factor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) -2 (b) 5 (c) -37.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1391 and -80015.64.\nAnswer: -78624.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -3140\nAnswer: 1\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 2188*m**6\/15 + m**4\/4 + 35*m**3\/6 - m**2 + 313*m. Find the third derivative of x(y) wrt y.\nAnswer: 105024*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110107174.\nAnswer: 2, 137, 251, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199144 is divided by 962.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 52*k - 106*k - 2*k**2 + 55*k. Let y be i(2). Solve 2*g + 0 - 6 = -y*t, -1 = -t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9466 = 73*q + 10853 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -142786\/51 and -2799 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((-5 - 10) + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.606 and 1.41888401.\nAnswer: -5.18711599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 5, 2 in increasing order.\nAnswer: -5, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -t - 7, 3*t - 2*h + 28 = -t. Let s be (-3)\/(-4)*(-4)\/t. Let b = 11.2 + -6.2. Sort s, 1, b.\nAnswer: s, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66326243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 24 + 76. Calculate the remainder when 79 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12570 + 14706. Calculate the greatest common divisor of f and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26975\/3 + -134881\/15. Which is the third biggest value? (a) -11.1 (b) 2 (c) p (d) 4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 999 and 189.\nAnswer: 6993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 140300284 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 11*b**3 + b**2\/2 + 1. Let c = 25 - 8. What is the remainder when g(-1) is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 41113245?\nAnswer: -41113242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -68592.82 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460770.5 take away -248363.57?\nAnswer: 1709134.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 3*o + 4. Suppose 2*p - 840 = 2*b, 9*b - 1674 = 13*b + 2*p. Let v = b - -423. Calculate x(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788*f + 157*f + 195*f - 3 - 2224*f.\nAnswer: -2660*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b*b**(7\/3)*b)\/b)))\/(b*b**8)*b**(-2\/5)\/((b*b**(-4\/21))\/b) assuming b is positive.\nAnswer: b**(-617\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 37, -31, 3 in ascending order.\nAnswer: -31, 3, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610997929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8376 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 7*f**2 - 2*f + 6. Calculate d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109856231.1s to weeks.\nAnswer: 181.64059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, 8, -9 in increasing order.\nAnswer: -9, 0.19, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 20*h - 24. Let t be z(-6). Solve p - 40 = 6*p - 5*l, 4*l - 12 = t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 2*t**2 + 2*t**2 + (-2 + 2 + t)*(-6*t + 0*t + 3*t) + (59*t - 87*t + 205*t)*(t - 1 + 0*t - 1) to s*t**2 + m*t + k and give s.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:29 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 115. Is ((-382)\/j)\/((-5)\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 3*a**3 + a**3)*(2*a - 5*a + a + (-2*a + 1 - 1)*(0 - 3 + 0)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/14 and 27\/905401.\nAnswer: 1810802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4508 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8 + ((-4371)\/(-372) - (-2 + -1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 7. Let v be d(-6). Let o = v - -63. Is o at most 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 8*l + 4*q, 6227*l = 6232*l - 2*q + 39 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752707050.\nAnswer: 2, 3, 5, 5018047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257 + 146. Let b = q + 112. Solve -b = 4*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**3*z - 10*l**3 + 2*l**2*z - 390*l**2 - l + 225553*z wrt l?\nAnswer: 54*l*z - 60*l + 4*z - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*y - 4*l, -8 = -y + 3*l - 25. What is the units digit of 19 - 0*(-1)\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*g + 9*g + 5*g**2 + 8*g + 4*g - 3 in the form u*g**2 + m*g + f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25239288*h**2 - 1 - h**3 + 1 - 25239288*h**2 + 0*h**3 - h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.003 (b) 286 (c) 0.5 (d) -3\/8 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:35 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*p - 65*p = -2*j + 36, 5*p = j - 34 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Suppose z + z + 2*k = -y, 2*k + 5 = -z. Suppose 3*w + z*c - 141 = 0, 2*c + 5 = 1. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -16777?\nAnswer: -17015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8230.633cm?\nAnswer: 0.08230633","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert -36b76b (base 12) to base 16.\nAnswer: -d9883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 4*u**2 - 13*u + 2. Let y be k(-6). Let a(x) = -1537495*x - 40. Let h be a(y). What is h rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 594369 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 40*o**2 - 875*o + 82. What is the units digit of d(-34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -476, 537, 2224, 4585, 7620, 11329?\n\"Answer: 337*b**2 + 2*b - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 + 148.000059. What is j rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82.6 - -91. Let v = h - 8. What is the third smallest value in -3\/5, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**2 + 8 - 8\/3*y + 0*y**3 + 2\/3*y**4.\nAnswer: 2*(y - 3)*(y - 1)*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334 times 15418.3\nAnswer: -5149712.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = 4*a - 2111. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(68) + sqrt(68) + sqrt(68)*-1 + sqrt(68) + sqrt(68))**2 + ((4 + sqrt(1377)*2 + sqrt(1377) - sqrt(1377)) + sqrt(1377))**2.\nAnswer: 168*sqrt(17) + 13037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4)*-3 + (-2 + sqrt(252) - sqrt(7)))**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -15\/2 (c) 80381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**3*o*t - 68*f**3*t + 3*f**3 + 2*f**2*o + 2*o*t + 4*o wrt t?\nAnswer: 3*f**3*o - 68*f**3 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1840 by -20.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3899235 is divided by 526.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 208 and -2.634?\nAnswer: -547.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)\/(b*b**(-3\/7)\/b))**47 assuming b is positive.\nAnswer: b**(-235\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04686 and -0.026?\nAnswer: 0.00121836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 8*u**2 - 8*u - 5. Suppose 7*v - 11 - 52 = 0. Let r be s(v). Solve -5*k - 10 = -r*p, 3*k - 5*k - 1 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*q - 377*q + 49997 + 10441 = 0 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*s**3 + s - 94*s**3 + 2*s - 3*s + 51 as w*s**3 + f + b*s**2 + n*s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1826 times -0.03\nAnswer: 0.005478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206886, -412347, -617818, -823305, -1028814, -1234351?\nAnswer: -1439922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63, 91, 141, 219, 331?\n\"Answer: v**3 + 5*v**2 + 6*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-52622)\/747)\/(2\/(-36))?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 51 + 89 = 0. Suppose -p = v - 3*v - 5*m, -m = -2. Let n = -28 + v. Solve -4 = -n*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2332 divided by 1166\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.0503 nanograms in milligrams?\nAnswer: 0.0001400503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 7*f**2 + 9*f**2)*(3*f + 2*f**2 - 3*f) - 2*f**4 + 0 + 0.\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 12*r - 3*r. What is the closest to r in 1\/7, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2175*h*r**4 - 191*h*r**3 + 33755*h*r**2 - 3*h*r - 7*r**4 + r**2 + 2*r wrt r.\nAnswer: -52200*h*r - 1146*h - 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.9 + 32. Is -2\/7 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36)\/6 - -6)\/(0 - 1). Let l be t + 46\/14 - (8 + -5). Solve -l*m**2 - 2\/7 - 4\/7*m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 12*v + 33. Let h be i(-14). Suppose 17 = h*m + 7. Suppose 3*w - 8*w + m*n = -410, w + 2*n = 94. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from userer. Give prob of picking 1 s, 1 e, and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561808622.\nAnswer: 2, 3, 11, 547, 43261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14860580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b. Let u = -76 + 164. Let a(t) = 89*t**2 - 2 + 2 - u*t**2. Calculate a(m(s)).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -0.01, -3\/5, -11\/8, 1 in increasing order.\nAnswer: -11\/8, -3\/5, -0.01, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164258 is divided by 266?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2025 * 136.\nAnswer: 275400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-972)*(7 - 73).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d + 258066 = -2734*d - 3024*d + 1429*d for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 40 = -145. Let v = 333 + s. Calculate the remainder when v is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*x - 2*b = 3, 5*x - 33 = 3*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by -26.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3777.9171 - -3778. Put w, 5, 0.3, 1\/4 in descending order.\nAnswer: 5, 0.3, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -17*m**3 - 197*m**2 + 85*m + 18. What is k(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -12*o**3 + o**2 - 10*o + 29. Let t(h) = -h**2 - 36*h + 27. Let i be t(-37). Is b(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 5. Let g be x(3). Suppose 3*s - 5*k = 32, -2*s + 3*k + 4 = g*k. What is the third derivative of 111*c - 4*c**2 - 111*c - c**s wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*f = 7*f - 21, -5*f + 22 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14780188*f**2*w**3 + 31*f**2*w**2 - 10*f**2*w + 3*f*w**2 + 166*f*w + w**2 wrt w.\nAnswer: 88681128*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4\/(j**(-1)\/j) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - 0.08. Let j = -0.10053 - q. Round j to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 + -166. Let i(l) = t*l - 5*l + 0*l. Let g(z) = 13*z**2 - 3*z. Determine g(i(p)).\nAnswer: 52*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/215 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c - 168*c - 92*c to the form h*c + i and give h.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 6*y**2 - 3*y + 11. Let g be v(-5). Solve -x = -5*f + 1 - 0, -f - x = g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 119406556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-63)\/(-4)))\/(3*5\/(-15)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2441, 4826, 7211, 9596?\n\"Answer: 2385*l + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -24*y**3 + 2*y**2 - 8*y - 8. Suppose -11*p - 27 = -2*p. Let o be (p\/15)\/(3\/(-180)*4). Let g(x) = -8*x**3 + x**2 - 3*x - 3. Determine o*z(v) - 8*g(v).\nAnswer: -8*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005451 to four dps.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 203?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, 1 w, and 1 n when four letters picked without replacement from {n: 10, w: 5, f: 1, k: 1}?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 139 and 0.2.\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700296 is divided by 701?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350610 divided by 78.\nAnswer: -4495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.2 + 8.7. Let t = 3.5 + l. Which is the closest to -2\/3? (a) t (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-2157)\/(-54) - (316\/36 + -9). Suppose -5*k + k + 2*a + 408 = 0, -4*a = 3*k - 284. Let p = z - k. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59 - 13*k**2 - 172 + 2*k**3 - 39 wrt k?\nAnswer: 6*k**2 - 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Suppose 14*h - 7*h - 21 = 0. Give o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33*(-30)\/1320)\/(6*(-46)\/32).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**2 - 5*q**2 + 130*q + q**3 + 106 - 43*q with respect to q.\nAnswer: 3*q**2 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3488*v - 1450*v - 2645*v + 2454*v)*(0 + v + 0).\nAnswer: -5129*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 395 + 395.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 323*y - 210. Let m(n) = n - 42. Determine 2*j(l) - 10*m(l).\nAnswer: 636*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3 - 38*n**2 + 954*n + 990 = 0.\nAnswer: -33, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43923\/7 - 726\/7*s + 3\/7*s**2.\nAnswer: 3*(s - 121)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87.5 - -10.5. Let a = l - -75. What is the closest to 0.2 in a, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o + 1431 = -129*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6841, 13981, 21257, 28675, 36241, 43961?\n\"Answer: s**3 + 62*s**2 + 6947*s - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0. Which is the second biggest value? (a) v (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*a - 54*a - 65*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (41715 - 41715 - 1031*u)*(-9*u - u**2 + 21*u - 11*u) in the form v*u + g*u**3 + p*u**2 + m and give g.\nAnswer: 1031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*z**3 + 308*z**2 + 268*z - 560.\nAnswer: -4*(z - 20)*(z - 1)*(4*z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, u: 2}. Give prob of sequence ssu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 645956 > 645950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01198000166 to 7 dps.\nAnswer: -0.01198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49\/153 + -7730\/1683. Let c = -3\/28 - -113\/140. Calculate the common denominator of u and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 15*l - 12 = 0. Calculate l.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 119*t**2 + 198*t + 1150. List the prime factors of n(-6).\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -63*p**3 - 2*p. Let s be i(-2). Let n be (-6)\/(-21) - s\/14. Let r = n + 64. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.87297 centimeters in millimeters?\nAnswer: 768.7297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 1060 - 436 = 0. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 4*x**3 - 11 + 7 - 1106*x**2 + 1 - 486*x**2.\nAnswer: -4*x**3 - 1592*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*m - 230 = 0, -u - 2*m - 118 = -m. Let g = -34 - u. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m\/m**(-2\/9))\/m)*m\/m**(-7)*m**(-5)*m**(2\/5)*(m\/(m\/(m*m\/(m*m**(1\/8)*m*m*m)))*(m**(6\/11)\/m)\/m*m)\/(m\/m**(-4)*m*m**(3\/7)) assuming m is positive.\nAnswer: m**(-133897\/27720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4236 is divided by 322.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, 3, -1\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/1476)\/((-3)\/2)*(-101 + 99)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 255172?\nAnswer: 255173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9 = a + 4*q, 33 = 3*a - 5*q. Solve a = p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**3 + 6247*q**2 + 1073*q + 33300. Determine z(-1041).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4070, 6116, 8150, 10166, 12158, 14120?\n\"Answer: -r**3 + 2053*r + 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -10, -15, -20, -25?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39583695 to the nearest integer?\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36875514 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1198*p**2 + 14*p = 0. What is p?\nAnswer: 0, 7\/599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlwzolwaoaas. Give prob of sequence lsol.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4*r + 1)*(3 - 4 + 3) + 2*r - 1 + 1 + (3 - 3 + 2*r)*(5 - 1 - 3) + (-1 + 3 + 1)*(-r + 4*r - 4*r))*(-1 - 2 + 0) + (4 + r - 4)*(1 - 4 + 1).\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -69. Solve -h*f = -6 - 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4840611*m + 4839391*m = -43920 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*v**2 + 966*v**2 + 620*v**2.\nAnswer: 1847*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 44*u**5\/3 + 2093836*u**4\/3 + 8755436*u**3\/3 + 2601212*u**2 + 380664*u = 0.\nAnswer: -47583, -3, -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2 = 2*p - 4, -2*p - 6 = 2*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 24 = 3*f, 4*f = -148*s + 153*s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = -12. Suppose 0 = -q + x*q - 295. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 11, c: 1, j: 1, b: 5, x: 2}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (9 - (-6 + 8)) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -44, -99, -176, -275?\n\"Answer: -11*t**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 5*l + 3. Let v be 1 + 1\/(4 - (-36)\/(-8)). Let p = -5 - v. Determine h(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, e: 3, z: 1}. Give prob of sequence fe.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 - (-5)\/12. Let y be (-1)\/((-3 - -2)*1). Suppose 0 = -5*r - 9 - y. Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -19*s + 41. Determine n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -5, -3, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3226 + 222*o**3 + 3217 - 6442 as p*o**3 + j*o**2 + r + c*o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-13)\/78)\/((-17)\/(-125)) and -15\/4?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.465 take away 29.27?\nAnswer: -37.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*-2*3)\/(sqrt(30)\/(sqrt(25)\/sqrt(5) + sqrt(5))).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*k + 30, -2*r - 2*k + k = -60. Suppose -z + 70 - r = 0. Suppose -g - 3*g = -z. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 363 = z - 5*z, -z + 4*g = -67. Suppose 0 = t - 30 + 12. What is the remainder when z is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12502 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*o**2\/11 - 118*o\/11 + 48\/11.\nAnswer: 2*(o - 8)*(7*o - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/10 - 19*h**2\/2 - 495*h\/2 - 2025\/2.\nAnswer: -(h + 5)*(h + 45)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 1 = 28*l. Solve -7*o = -6*o - u + l, -4*u = -8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {f: 5, e: 1, o: 12}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 336*o**2 - 1595*o. Let s(g) = -2*g**3 + 672*g**2 - 3200*g. Let y(b) = -5*j(b) + 2*s(b). What is the second derivative of y(r) wrt r?\nAnswer: 6*r - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -347.0369 rounded to 1 dp?\nAnswer: -347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -151? (a) 3 (b) -1579 (c) -5 (d) 2 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*f = 21*f + 48000. What is the highest common factor of f and 1040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 414, 422, 434, 450, 470, 494, 522?\n\"Answer: 2*o**2 + 2*o + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a hour in minutes?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y + 5*h - 9530 = -78*y, 3*y + 5*h = 5726. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -2*q + 4*s, q + 2*q = 3*s + 327. List the prime factors of q.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1225 + 525022?\nAnswer: 530251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/(-66))\/((-4)\/6). Sort 4, -10, d, -4.\nAnswer: -10, -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**9*y))\/(y\/(y\/(y*((y**(2\/11)*y)\/y)\/y))*y)*(y**2)**(-3\/4) assuming y is positive.\nAnswer: y**(-257\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 115*(24\/(-3) + (-72)\/(-6))?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39900.\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a + 47*a**3 - 19*a**3 + 3*a - 6*a - 8*a + 108*a**2 = 0.\nAnswer: -4, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/496 and 69\/761356?\nAnswer: 94408144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1772, -1860, -1948, -2036, -2124, -2212?\n\"Answer: -88*j - 1684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1371528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 19*i + 2. Let l be m(2). Calculate the highest common factor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 + -140.7. Which is the nearest to 0.2? (a) 1\/3 (b) x (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -459*x - 35333. Determine d(-77).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 127*v**2. Let u(x) = 154*x - 1. Give u(o(p)).\nAnswer: 19558*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7327 + 11107. Is 54 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2))**(-14)*(r**11\/r)\/(r\/(r**(-8)\/r)))**(-7) assuming r is positive.\nAnswer: r**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135144.\nAnswer: 2, 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 4, w: 7, x: 3, p: 1}. Give prob of picking 3 x.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2859 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -7*h**3\/2 - 92*h**2 - 1235*h\/2 - 169 = 0.\nAnswer: -13, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 21*n + 1. Suppose -16 = 2*b - 4*b. What is the remainder when p(1) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 + 315. Is (d\/(-4) + -3)\/(2\/(-4)) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3034 - 48601\/16. Let w(z) = -1427*z. Let n be w(4). Let s = 91291\/16 + n. Find the common denominator of s and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -77\/3*n**4 + 778\/9*n**3 - 908\/9*n**2 - 4\/9*n**5 - 61\/9 + 142\/3*n = 0. Calculate n.\nAnswer: -61, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 3*u + 2336361*u**3 + 1074208*u**3.\nAnswer: 3410569*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 129.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274*t + 18709 - 18709 to b*t + i and give b.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 324 = -1059. List the prime factors of x.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r + 4*n - 138, -2*n - 256 = -5*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*g = -2*g + 866, -g = 4*o - 3559. Suppose 211 + o = h + 3*i, 2*h - 2224 = -2*i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.3 + -31.4. Let k = 0 + -0.9. Which is the closest to w? (a) 4 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 10\/(-12))*15\/(-2). What is the third smallest value in s, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*s = -13, 3*s = 3*z + 4*s + 8. Let x be -3 + 4 + z - -1. Let b = -6 + x. Sort b, 2, 1 in decreasing order.\nAnswer: 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2. Let s(x) = -235*x + 41. Let n(g) = -s(g) - 5*w(g). Differentiate n(t) with respect to t.\nAnswer: 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000249537 to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -25*c**2 + 108949*c + 4358 = 0.\nAnswer: -1\/25, 4358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.72 + -0.08. Let k = n + -2.2. Which is the closest to 1\/3? (a) k (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*y**2 - 14\/3*y - 20\/3.\nAnswer: -2*(y + 2)*(y + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-336)\/(-440))*(864\/(-12))\/(-24).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5012611 take away -21652?\nAnswer: 5034263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n + 7. Let z be j(2). What is the units digit of (z - -2)*(3 - -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*s - 12, -4*s - 9 = -14*w + 11*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -581, -1086, -1589, -2090, -2589, -3086, -3581?\n\"Answer: z**2 - 508*z - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*p - 10*p = 15, 3*g - 2*p = 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n**3 - n**2 + 2*n - 6. Let r(v) = 16*v**3 + 2*v**2 - 2*v + 7. What is 7*p(j) + 6*r(j)?\nAnswer: -2*j**3 + 5*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 41\/2 of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93417, 94160, 94901, 95640, 96377, 97112?\nAnswer: 97845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 c when three letters picked without replacement from jdjjejcjsjdjjjced?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*m + 13 = k, 4*k - 13 = -5*m. Solve 2*s + k*s - 16 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -47, -18 in increasing order.\nAnswer: -47, -18, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (5 - (-14 - -21 - (0 - 5))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -14199*u**3 + 9*u**2 + 9*u + 9. Let o(q) = -3549*q**3 + 2*q**2 + 2*q + 2. What is -9*o(w) + 2*y(w)?\nAnswer: 3543*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-14*(-54)\/4284)\/3\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 82. What is the remainder when 4 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*s. Suppose s = -2*c + 52 + 58. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 6. Let n be b(-4). Solve -2*d - n*f = -6, -4*d + 4*f - 7*f + 10 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*q*s**2 + q + 2*s**4 + 17 wrt s?\nAnswer: 72*q*s + 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3921, 3941, 3961?\n\"Answer: 20*d + 3901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 278486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i. Let l(a) = -54*a + 52*a - 1 + 1. Calculate c(l(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740669059.\nAnswer: 13, 41, 1389623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Suppose 0 = d*u - 4. Let s = -0.3 + -0.2. Sort s, -2, u in descending order.\nAnswer: u, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 - 5 - 1)*(1 - -9245).\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 10*t + 13. Let w be k(-11). Solve -2*n = w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1839087\/33460 - -6629\/2868. Let p = 1000\/21 + z. Calculate the common denominator of p and ((-2)\/8)\/((-18)\/20).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85605, -340396, -765055, -1359588, -2124001, -3058300, -4162491, -5436580?\nAnswer: -6880573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**7\/126 + 7*z**6\/90 - 19*z**5\/60 + 25*z**4\/36 - 8*z**3\/9 + 2*z**2\/3 + 142*z. Factor p(d).\nAnswer: -(d - 2)**2*(d - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 23*n - 5. Suppose 0 = -2*d - 2*r + 78, 53 = 2*d + 4*r - 15. Let b = -49 + d. Let y be l(b). Let x(u) = u - 8. What is x(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7615*v**2 - 2*v + 2*v + 7623*v**2. Let u(i) = -228*i. Determine u(h(p)).\nAnswer: -1824*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3 (b) 4 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 846*i**5 + 9*i**3 + 866*i**5 + 2*i**5 + i**5 - 2*i**5 + (-i**5 + 2*i**5 - 2*i**5)*(-4 + 3 - 1).\nAnswer: 23*i**5 + 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*p**4 - 10311*a**2*p**2 + 4*a**2*p - 3*a**2 - 2*a*p + p**2 + 875 wrt p.\nAnswer: -12*a**2*p**2 - 20622*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 2\/15, -0.3, -2\/9, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*d**2 - 2 + 2.\nAnswer: 338*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/131171 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36247481 + 0?\nAnswer: -36247481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -23484 (c) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-7)\/(182\/(-4))). Let v(a) = z*a**2 + 4*a**2 - 13*a**2. Let q(n) be the second derivative of n**3\/6 + 3*n. What is v(q(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 54. Solve -2*r + w = -0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38*(-153)\/(-340)*6*(-35)\/(-252)?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7856797 millimeters to meters.\nAnswer: 0.0007856797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -750*(1 - 0\/3). Let p be a\/(-21) - (-6)\/21. Suppose 0*o = -4*o + p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.5*21\nAnswer: -136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 10)*(4*o - 7 + 7) to the form h + w*o and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4684 = 3*f, 0 = 25*f - 30*f - 5*x + 7790. Calculate the highest common factor of 39 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/5)\/b)\/(b*b*b*b*b**(-6)\/b))\/(b\/b**(4\/9)*b**(-6\/11)))\/(((b\/(b*b**5))\/b**(-4))\/(b**(1\/3)*b)**(2\/53)) assuming b is positive.\nAnswer: b**(85007\/26235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/7, -5, -27, 35 in decreasing order.\nAnswer: 35, 4, 3\/7, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 260*i + 2494. Determine z(139).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 6*p + 0*p)*(19 - 13 + 5) + (-p + 2*p + 2*p)*(1 + 4 - 4) + 0*p - 3*p + 2*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.271 + -0.4. Let y = g - 86.871. Let v = y - -79.1. What is v rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**4\/4 - 6*r**3 + 10*r**2 + 22*r + 5. Let h be t(-19). Let o(d) = -87*d - 84*d - 4 - 4*d**2 + d**3 + 175*d. Determine o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -n + 23, 3*h = 17*n - 27429 + 27326 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 666582144 + -3?\nAnswer: 666582141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 3*g + 10656. Let j(d) = 2252*d + 4. Let u be j(-3). Let q = u - g. Round q to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3 + 9*l**2 - l - 11*l + 2*l**4 - 17*l**2 = 0. Calculate l.\nAnswer: -2, -3\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -23 in ascending order.\nAnswer: -23, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106674188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-0.8.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose 5*v + 608 = -2*z + 589, 0 = z - 8*v - 43. Sort q, z, 1 in descending order.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*((5*(sqrt(637) + 2) - (5 + sqrt(637) + -2))**2 + 3).\nAnswer: -122928 - 4704*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378) - (sqrt(378) - (-4*sqrt(378) + sqrt(378))))\/sqrt(7))\/sqrt(9))\/(1*sqrt(363)*-3).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/6 + 631*w**4\/6 - 50860*w**3\/3 + 343192*w**2\/3 - 128128*w - 259584 = 0.\nAnswer: -1, 4, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(120)\/sqrt(10) + 0 - (((sqrt(12)\/sqrt(4) - sqrt(3)) + -2 + sqrt(675))*4)**2.\nAnswer: -10859 + 962*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/13, -2\/31, 6, -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1214922*p + 1214922*p + 27*p**3.\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 272*m + 7350. Let n be h(-27). Let v(s) = 196*s - 17. Let a(c) = 65*c - 6. Calculate n*v(i) - 17*a(i).\nAnswer: 71*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14*k**2 + 3*k - 9. Is x(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 286 - 94 = 0. Let z = j - 47. Let w = z - -34. What are the prime factors of w?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/868 - 2589\/4340. Let f be (-4)\/(-18)*(-1)\/14. Let k = -23\/126 - f. Sort z, 0.2, k.\nAnswer: z, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -76. Suppose 5 = 3*q - 2*q + p, 5*q + p - g = 0. Suppose q = u + 5*k - 100, -2*k = -2*u + 54 + 158. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 6*f**3\/5 - 2927*f**2\/5 + 2434*f\/5 + 487\/5 = 0.\nAnswer: -1\/6, 1, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 9*b - 6. Let j be o(8). What is the third derivative of -36*z**3 + 763 + 752 + 2*z**j - 1508 wrt z?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - 4*f + 7. Calculate the remainder when w(2) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 1. Let o = -7.16 - -7.16. Let s = -61.7 - -62. Which is the nearest to 0? (a) s (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 558. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 10:36 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*a + 6, -2*c - 3*a = a + 4. Let o be c\/(-4) - (-1)\/2. Suppose -s + 6 = -o*s. What is the remainder when 16 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-465)\/300*-4 + (4 - (-5 - -17))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 95*z + 99*z + 648002, 3*s = 5*z + 971996. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a factor of 1659132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 13 - 95*j**2 - 10 - 35*j**2 to v*j + o + y*j**2 and give y.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1247 take away 220414164?\nAnswer: -220414163.8753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 3. Let b be u(-3). Suppose -z + 4*i + 22 = b, -2*z - 5*i + 15 = z. Let n = -6 + z. Solve -2*a = 3*q - 6*q + 2, 0 = -n*a + 2*q + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -991669799 + -9.8399.\nAnswer: -991669808.8399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + x - 2*x + 89, 3*o - 5*x - 140 = 0. Suppose 0 = 5*w + o. Let l be (w\/6)\/(3\/(-20)). Solve -l = -5*p - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -152.3?\nAnswer: -152.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*m - 237 = 0, 2*g + 3*m - 255 = 5*g. Let d = g + 137. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 9. Let j(z) = z**3 + 5*z**2 + 5*z + 4. Is j(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -x - 4*h, 3*x + 5*h - 7 = -0*h. Let v = 0 + x. Let s(b) = 1. Let y(c) = c - 2*c + c + c + 3. Calculate v*y(u) + 5*s(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t**2 + 2*t**3)*(-4 + 4 + 2*t**2) + (-2*t**3 + 15*t**3 + 3*t**4 - 9*t**3)*(-126*t - 94*t + 67*t) + 2*t**5 - 4*t**5 + 4*t**5.\nAnswer: -453*t**5 - 612*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -333, -519, -723, -951, -1209, -1503, -1839?\nAnswer: -2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10810, 21580, 32320, 43030, 53710?\n\"Answer: -15*q**2 + 10815*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 659 from -20.62.\nAnswer: -679.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5901*o + 130357. Give c(22).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let t(x) = 3*x + 43793. What is t(w(h))?\nAnswer: -3*h + 43793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739931556?\nAnswer: 2, 3, 7, 13, 96799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/3*84\/(-140).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*q + 21, -3*q + 11 = -5*d - 8. Let t(g) be the first derivative of -g**4\/4 - g**3\/3 + 2*g**2 + 3*g + 8. Determine t(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let k(c) = -8*c**2 - c - 1. Let l(v) = -4*v + 117. Let y be l(30). Give y*p(m) + k(m).\nAnswer: -5*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) -29 (c) 1\/2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1635 + 1683. Which is the second smallest value? (a) -2\/3 (b) f (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6782 + -6793. What is the closest to 2\/3 in -2, -0.2, b, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101112102010 (base 3) in base 13?\nAnswer: -149713b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ee - b95?\nAnswer: -aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6483*o**2 - 6111*o**2 - 2*o + 8980*o**2 + 3*o - 2193*o**2 to t + w*o + s*o**2 and give s.\nAnswer: -5807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268418 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 3*m + 9. Let v be x(-5). What is the units digit of (-1)\/v - 18\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) + 1*sqrt(130)*-4)) + sqrt(130))\/(sqrt(1210)*-1) - (-6*(sqrt(208) - sqrt(208)*-1)**2 + (-1 + 1 + sqrt(468))**2).\nAnswer: -5*sqrt(13)\/11 + 4524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10 + -1 - -1)*-10. Suppose 2*q = 5*c - 25, b*c + 5*q = 8*c - 3. Calculate the remainder when 50 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfgvffffffcgfffgvff. Give prob of picking 3 f.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 10450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -2*m**3\/3 + 2*m - 212. What is v(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1569 - -32960\/21. Find the common denominator of p and -89\/165.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180*-4.59.\nAnswer: 826.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 435 = 3*l. Let v be 4\/(-6) - 86\/l. Let f be (-1)\/(-4)*(-3)\/(-6)*8. Is f greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3217*i - 1025*i + 72336 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -2*p**3\/3 + 179*p**2\/2 - 7*p + 2. Calculate the remainder when x(11) is divided by 62.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f**3 - 4*f**2 + 7*f. Let p(m) = -6*m**3 - 2*m**2 + 3*m. Calculate -3*o(j) + 7*p(j).\nAnswer: -3*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -121, 2\/421, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*b - 99, -2*b = -5*z + 180 - 11. Calculate the greatest common factor of z and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1290236930*u**2 + 2189*u - 29089 wrt u?\nAnswer: -2580473860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1564836 + 470?\nAnswer: 1565306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51842.49 hours to weeks.\nAnswer: 308.58625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 11. Suppose -2*u - 278 = -4*k, -k + 2*u + 62 = -d*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 851, 874, 895, 914?\n\"Answer: -t**2 + 26*t + 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 20\/6)\/((-1)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -543*k + 275 + 230*k**3 - 660*k**2 - 87*k + 1540*k**4 - 1555*k**4 = 0. What is k?\nAnswer: -1, 1\/3, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide -3*(-2 + 45\/21) - (-122702)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37212480?\nAnswer: 2, 3, 5, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/38663 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-2))\/q)\/q)**(-2\/23)\/((q*q**(3\/8)*q)\/q*q*q**(12\/11)))**(2\/21) assuming q is positive.\nAnswer: q**(-6487\/21252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 7*h + 15. Let l be j(14). Suppose 10*b - l - 11 = 0. What is the greatest common divisor of 80 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -1.7 (c) -15 (d) 4 (e) -3 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*g - 30 + 141. Solve -g*j = 95 - 98 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3)*30\/(-180)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-3\/14)*o*o**(-15\/4)\/o)**(2\/47) assuming o is positive.\nAnswer: o**(-71\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 3*v**2 - v + 2. What is j(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -3037 and 24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 272*z**2 - 532*z - 264.\nAnswer: -4*(z + 1)**2*(z + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 89\/(-300) - (858\/(-60) + 14). Let r(h) be the third derivative of -d*h**5 - 1\/30*h**3 - 4*h**2 + 0*h + 0 + 1\/60*h**4. Determine z, given that r(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 2*s. Let v be c(2). Let d = -5 + v. Suppose 0 = 3*k - 0*k + 9, 4*q - 4*k - 32 = 0. Put d, q, 0 in decreasing order.\nAnswer: q, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 475778, 951559, 1427340, 1903121?\n\"Answer: 475781*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22 + 3\/((-12)\/8). Let c be (i\/(-80))\/((-2)\/16). Factor 7*h**2 - 15*h + 4*h**2 - h**c.\nAnswer: 5*h*(2*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1173462656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345 - 345 + 21*m + 65*m.\nAnswer: 86*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 785\/(-130) + 12 - (-1 - -7). Which is the fourth smallest value? (a) -2\/7 (b) -2\/15 (c) g (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1868316 and -0.2.\nAnswer: 373663.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-2 + -1) - -5) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 591128 greater than or equal to 591122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - 66 - -73 - -49?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/9 + (-4 - 1). Let l = -7 + 8. Which is the second smallest value? (a) w (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i, -25*y = -27*y - i + 3455. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 + 240. What is the remainder when l is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(7\/2)\/(l**(4\/7)\/l) assuming l is positive.\nAnswer: l**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1061 (base 9) to base 11\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3661224?\nAnswer: 2, 3, 7, 19, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64897, -129795, -194691, -259585, -324477, -389367, -454255?\n\"Answer: f**2 - 64901*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320 divided by 15.\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + 1 + -5 + (11 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32497 is divided by 755?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 297?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54033643 is divided by 1286515?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + a + 6 = -2*a, -70 = -5*o + 5*a. Let s = 5 - o. Let x = 4 + s. Solve 3*r + 3 = 4*f - 5, x = -2*r - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304003300 (base 5) to base 2\nAnswer: 100101101011110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -32*c. Let o(w) = -16*w + 11. Let g = -4 + 6. Let t(s) = -4*s + 3*s + 4*s + 0*s - g. Let p(n) = -2*o(n) - 11*t(n). Determine p(x(i)).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*u**3 - 1190*u**2 - 5228*u - 192 = 0. What is u?\nAnswer: -16, -6, -1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.199 + -1.254. Let i = 11 - g. Round i to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/2, -18014 in descending order.\nAnswer: 3\/2, -0.1, -18014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1220413 (base 5) to base 12\nAnswer: -11541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 26*u - 650. Solve 8*o - u = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/19, 0.1, -1\/6, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (-1*sqrt(114)*-1)\/sqrt(6)))**2.\nAnswer: -64*sqrt(19) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 881661?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 7*o**2 + o + 10. What is m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1211?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 3*a + 4. Let u be r(1). Suppose -2*d = -4*p + 622, 3*p + d - 6*d - 484 = u. What is the greatest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p + 248. Let x(f) = 17*f + 993. What is 26*n(d) - 6*x(d)?\nAnswer: 2*d + 490","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-664)\/40)\/((-1668)\/(-60) - 28)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4 - 24. Let a = m - 8. What is the units digit of 2 - ((a - -2) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-3\/2)\/k*k**5*k*(k**0)**41 assuming k is positive.\nAnswer: k**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 j, and 1 c when four letters picked without replacement from {c: 1, u: 4, m: 2, t: 3, j: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 4*i - 2. Let a be (-7)\/21 + 7\/3. Let t = 4 + -1. Suppose -a*z = -t*z + 2. Give j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13091607 and 32901?\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = 3*f + 99, -o + 33 - 48 = -f for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3747 by -3.\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3898865.8 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 787487 and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-4))\/(216782\/(-108392) - 1 - -3)?\nAnswer: 2, 17, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(360) - (sqrt(360) + sqrt(360)*4*-5 - sqrt(360)))\/sqrt(6))\/(-6*(sqrt(108)\/(sqrt(9)*-1) - -2*1*sqrt(12))).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 17. What is the units digit of ((-9)\/12)\/((-1)\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*k + 51, -3*b - k + 3*k + 114 = 0. Suppose -2*c + 81 = 5*i, -2*c - 33 - b = -5*i. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2 - 363*h - 2895. Let y be t(-42). Factor -12\/5*v**y - 12\/5 - 36\/5*v + 9*v**2.\nAnswer: -3*(v - 2)**2*(4*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 7*i + 18*x - 497, x + 71 = i. Let a = 1 - -3. Suppose -28 = -2*g - 2*h + 116, 286 = a*g + 2*h. Do i and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/8 - 503\/72. Find the common denominator of (0 - -1) + -5 - 2250\/(-990) and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 350*n - 1745. Let f be c(5). Sort -2, 27, f.\nAnswer: -2, f, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 - 304*g - 600 = 0.\nAnswer: -150, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 3*q**2 - 4*q + 1. Calculate a(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2487, -4988, -7489, -9990?\nAnswer: -12491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48964)\/(-56))\/((-3)\/27). Let w = 7861 + r. What is the common denominator of w and ((-53)\/(-4)*2)\/(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5222426 (base 7) to base 9\nAnswer: -1155762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 4*n**3 - 3*n**3)*(4*n**2 - 3*n**2 - 5*n**2) - 2*n**5 - 2*n**4 + 2*n**4 + 4*n**5 + 85*n**3 - 85*n**3 - 3*n**5 + 3*n**5 + n**5.\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 8*k - 54. Let f = -8 + 12. Calculate the remainder when k is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110 - 1110010010000111?\nAnswer: -1110010100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (-146 - -133).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/19 + 2538*l\/19 + 5068\/19.\nAnswer: 2*(l + 2)*(l + 1267)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/96*-1)\/(1\/(-12))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 7:54 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**9*(h\/h**(-9\/2))\/h assuming h is positive.\nAnswer: h**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-10) - (-6)\/10. Suppose -2*x - o*p + 8 = 0, x + 3*p - 5 = -0*p. Let h be 1 + (x - 1) + -232. What is h rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - 3*j**4 + j**3 + (3*j**2 - 4*j**2 + 2*j**2)*(-j**2 + 0*j**2 - j**2) + j**4 - j**4 + j**4 + (-j + 2*j**2 + j)*(4*j**2 + 4*j**2 - 3*j**2).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/1397 (b) -107.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 3 + 1 + -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - i - 12 = 5, -5*i - 1 = w. Suppose w*c - b - 28 + 33 = 0, -c + 3*b - 4 = 0. Which is smaller: -2\/87 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 14*b - 27. Let a be u(-6). Differentiate 10*p**2 - a - 13*p**2 + 3*p**2 - 28*p**2 wrt p.\nAnswer: -56*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - ((14 - -8) + -35)) + 17\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13015 and 6365?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713 = 34*g + 25*g + 18*g - 2406 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 59 = -p - 5*n, 0 = -2*p - 3*n + 1 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by 110?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/4 (b) -182 (c) 0.0407\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2 - 62472*j - 243921924 = 0.\nAnswer: -7809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 764\/(-36) - (-3)\/(-54)*-4. Let h = d - -41. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18*5\/(-90))\/((-5)\/(-4)). Which is the nearest to -30? (a) -3 (b) 0.4 (c) 5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjynnyjxnyjyy. Give prob of picking 1 x and 2 y.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1837 in 0.1, -60, 9\/8, 3?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-7 + 6) - (3 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/12 + 2*s**2. What is the remainder when t(1) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (2 - 6)) + (-1 - (-3)\/(-6)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.6 + 34. Let b = s + 1.6. Let k(l) = -3*l**3 + 42*l**2 - 5. Let r be k(14). What is the third biggest value in 4, -0.5, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -6, -2, 13 in increasing order.\nAnswer: -6, -2, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rttlltkmtnrlt. Give prob of sequence ntk.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f - 93 = 297 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 0 + 3 + 3563 + -3577.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/9)\/q))\/((((q*q*q**2)\/q)\/q*q)\/q*q*q*q))\/(q**(-5)*q*q\/q**(5\/3)) assuming q is positive.\nAnswer: q**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*q + 11, -2*q - 4*s + 18 = -s. Let c be q - (31 + 2)\/(-3). Suppose 3*j - 7*j = -5*i + 1, 0 = j - 4*i + c. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -161. Let w = d - 72. What is the closest to 0.19 in -2, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - d - 2*d)*(-5*d**4 + 2*d**4 + 4*d**4) - 36*d**5 + 104*d**5 + 97*d**5 + (0 + 0 + d**2)*(-4*d + 4*d - d**3).\nAnswer: 167*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -195, -199, -207, -219?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -352*i**3*l + i**3 - 2*i**2*l + 5763*i*l + 2*i + l wrt i?\nAnswer: -2112*i*l + 6*i - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -65*i**3 - 5*i**2 - 3*i + 3. Let d(f) = -129*f**3 - 9*f**2 - 5*f + 5. What is -5*a(k) + 3*d(k)?\nAnswer: -62*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1310, -3\/5, -0.1, -2\/11, -0.8, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 - 2. Let s = -46 + 43. Which is the second smallest value? (a) -3\/5 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669.55 decades in years?\nAnswer: 16695.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 4\/(-5))*-6. Let t = -7 - -5. Let r be (-60)\/8*t\/10. Which is the third smallest value? (a) m (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -12 (b) -0.4 (c) 1\/43 (d) 5 (e) 0 (f) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/10)\/(4\/(-30)). Solve 4*z = -2*d - 28, 5*z + 2*d = -i - 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4503579 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73*y**2 - 89*y - 8 - 73*y - 136 - 6*y - 14*y**3 - y**4.\nAnswer: -(y + 3)**2*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38994 and 480?\nAnswer: 3119520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-3))\/(-2) - -3*38\/(-171). Let h be (72\/(-25))\/3 + 1. Are c and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 10.4. Let n = f - 4.4. Which is the third biggest value? (a) 2 (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32 (b) -6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 3\/2, 4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 + 8*v + 49. Does 21 divide j(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 2700*h**3 + 13407*h**2 - 16110*h.\nAnswer: 3*h*(h - 1)*(h + 6)*(h + 895)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*s - 16 - 44 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*v - 89*v - 12*v**2 + 8*v**2 + 0*v**2 - v**4 + 5*v**2 in the form b*v**3 + w*v**2 + x*v + i*v**4 + z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - -3*sqrt(114)*2))\/((sqrt(384) + sqrt(6) - sqrt(6))*-3).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -1c7?\nAnswer: 1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32510594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1)*(-11 + 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 21*k**3 + 2*k**2 - 30 + 5*k**3.\nAnswer: 26*k**3 + 2*k**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155057699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -61. Let y(g) = g**2 + 3*g - 11. Let r be y(w). Which is greater: r or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-99)\/(-6)*((-40)\/24 - -7). Let r be 10\/(7\/(-5) - -1). Let u = -14 - r. What is the highest common divisor of u and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + 3. What is the remainder when 197 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(120\/14)*32610\/(-13044)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 + 6*b - 2. Let r be ((-9)\/(-12))\/((-2)\/8). Let u(a) be the second derivative of -a**4\/3 - 5*a**3\/6 + a**2\/2 - 3*a + 47. Give r*g(z) - 4*u(z).\nAnswer: z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**2 + 164*t - 1800 = 0.\nAnswer: -50, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11 + 6 + 73*r - 72*r. Let j be f(-17). Solve j = 5*l + 2*z - 3*z - 30, -5*l - z = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -198, 0, -3, 4, 14 in descending order.\nAnswer: 14, 4, 2, 0, -3, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 302 = -9*i, 0 = -104*i + 100*i + 4*a + 156. Suppose 20 = 3*t - 76. Calculate the highest common divisor of i and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-624)\/(-1495))\/(-8))\/(4\/10)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.42968 rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chyc when four letters picked without replacement from {d: 1, y: 2, c: 10, h: 2, p: 4}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -132.998865798.\nAnswer: -134.998865798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -361 + 612. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0 + 0*j**3 + 1\/120*j**6 + 152*j**2 + 0*j - 1\/30*j**5 + 1\/24*j**4. Factor q(l).\nAnswer: l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15941, -31783, -47621, -63455, -79285, -95111?\nAnswer: -110933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -22 - -51 - (0 - -1). Let k = -33 - b. Find the common denominator of -77\/18 and ((-2)\/4)\/(-3 + (-193)\/k).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86731207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62091*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*((-16)\/10 + 2). What is i in 10*i**g - 8*i**2 + 2 + 2*i - 3*i - 3*i = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125385 - -2.3.\nAnswer: -125382.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*m = 2*f + 44, m + 8 = -f. Let t be (-1)\/2*(f + 2). Suppose 0 = x + t*x - 15. Which is greater: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = f - 80, -2*c + 81 = 3*f. Let m = 43 - c. Suppose -m*p = x - 278, 280 = x + 2*p + 12. Does 38 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 15?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46.9, 4\/9, -2\/7, 0.5, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.5, 4\/9, -2\/7, -46.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.05 and 1111368?\nAnswer: 3389672.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/1 - 2)*(-16)\/(-224). What is the closest to -0.1 in -1, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 22*n - 239 - 13 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25083 + -1716. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 153.4 and -6483.\nAnswer: -6329.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from gvgay?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {z: 5, r: 1, a: 3, f: 1, t: 1, e: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*1)\/(2\/((-1)\/(-4)*(-1020)\/30))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 38*t + 12. Determine k(-16).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -127 + -2?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 46 = -2*k + 10*w, 16*k - 30*w + 32 = 20*k - 34*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dme. Give prob of sequence de.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -107, 1\/20, 2 in increasing order.\nAnswer: -107, -7, 1\/20, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/61 - -67\/183. Sort 5, b, 0.4.\nAnswer: b, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/15)*j*j**(-11))\/(j**(2\/13)*j**5))**(1\/2) assuming j is positive.\nAnswer: j**(-1393\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/20092 and 137\/12?\nAnswer: 60276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(170) + -5*sqrt(170)*-1 - sqrt(170))\/(sqrt(1210) + (sqrt(1210) + -4*sqrt(1210) - sqrt(1210)) + sqrt(1210)).\nAnswer: -2 - 5*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (-1 + 5 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 9, 10, 21, 48?\n\"Answer: g**3 - 4*g**2 + 2*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Suppose 5*i + 3*u = -30, 5*u = -4*i + 6 - 43. Let t = -3 - i. Is t at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2417\/2 + -1209. Which is the smallest value? (a) -3\/2 (b) v (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48277988 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 16*a**5 - 4*a**2 + 15*a + 4. Let h(x) = -x**5 - x**2 + x + 1. Let s(c) = -4*h(c) + p(c). Find the second derivative of s(l) wrt l.\nAnswer: 400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.219 smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*1.5\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21546, 21528, 21506, 21480, 21450, 21416?\n\"Answer: -2*s**2 - 12*s + 21560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 51*w - 2583. Determine x(4).\nAnswer: -2379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 12\/5, -0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5104)\/(-2436) + 2\/(-21). Solve r + 0 = -k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 - 4 = 0. Let a = -3 + 10. Suppose 7*x - 13 = v*x + c, c = -x + a. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-225)\/160) + (-16)\/2?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 235893 (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 70738\nAnswer: -14147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-78) - ((-4)\/4 + 3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 40, 0.1, 3, -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.520213111 plus 2?\nAnswer: 2.520213111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 2*x**2 - x + (3*x - 3*x + 2*x)*(-3 + 3 + 2*x) + 7*x**2 - 125 + 39*x + 228 - 106 as q*x**2 + o + m*x and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbubbuvws. What is prob of picking 1 s and 1 w?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x. Find the third derivative of -1 + a**2 + 1 + 2*a**3 + x wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4712000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-550)\/(-616) - (1 - 12\/14). Which is the closest to 0.1? (a) 5\/4 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**4 - 12*r**3 - 64*r**2 + 48*r + 192. Let a(q) = -q**4 - 8*q**3 - 43*q**2 + 32*q + 128. Let i(w) = 8*a(w) - 5*l(w). Solve i(o) = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 100, 177, 298, 457, 648, 865, 1102?\n\"Answer: -z**3 + 28*z**2 + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6305 - 6305 + 27*g**2. Let l(w) = -w**2. Give l(o(j)).\nAnswer: -729*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 413*f**6 + 74*f**2 - f + 1 wrt f.\nAnswer: 49560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/42507 and -209\/4410.\nAnswer: 20828430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335392?\nAnswer: 2, 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5 - 6*117\/540\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 1162596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = m. Calculate the lowest common multiple of 12 and (24\/20)\/((-6)\/m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4\/(-6) + (-4 - 1424\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-3 - -1) - (25 + -18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-392)\/168)\/((-2)\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/39690 and -71\/439110?\nAnswer: 27663930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(21\/(-49)) + 33\/3. Solve -p + 3*r = -0*p + 16, r - y = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(48)\/sqrt(2) - (sqrt(24) + (sqrt(24) - sqrt(1536)*3)))\/(6*((sqrt(288) + sqrt(288)*-2)*3 + sqrt(288))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 4. Let f(g) = 2*g**2 + 17*g + 10. Let o be f(-8). Suppose -39 = -o*a - 29. Sort -1, r, a in increasing order.\nAnswer: -1, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**2 + 23888*x + 3497780 = 0.\nAnswer: -143, 6115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0806 and -0.1?\nAnswer: 0.00806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 8e?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7.9. What is the second biggest value in -2, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 880181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 9:06 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -779, -771, -757, -737?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.76807 micrometers to millimeters.\nAnswer: 0.04876807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 9*z = -20*z + 494 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 2*a + 816. Let w = -124 - a. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2237 - 81. Let i = 417 - 1361. Let k = i - d. Round k to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393818255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -31\/259?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/3 + 499*v**2 + 180880*v - 13284800\/3 = 0. What is v?\nAnswer: -760, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -36*q**2. Let c(x) = -x + 6*x - 4*x + 9*x - 7*x. Give d(c(y)).\nAnswer: -324*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4318169 and 219?\nAnswer: 12954507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23233260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 4:39 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1577, 3186, 4797, 6410, 8025?\nAnswer: 9642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 4, 0.9, 0.45, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -4*a - 9, 18 = 2862*a - 2865*a + 2*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/6))\/f*f*f**(1\/27) assuming f is positive.\nAnswer: f**(47\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576905828.\nAnswer: 2, 7, 971, 94781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2028 and 833\/1859 + (-156)\/338.\nAnswer: 22308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/2 in 1.43, 3\/4, 0.2, 66, -0.1?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)\/(g**(-6)*g))\/(g*g**(2\/17)*g**(-1\/7)*g*g)*((g**(-3\/13)\/g)\/((g**(-8)\/g)\/g))**(-18) assuming g is positive.\nAnswer: g**(-1202181\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-108)\/33) + (1 - 2). Which is the closest to -1? (a) z (b) 0.1 (c) 0.5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s + 146*s - 31*s + 52*s.\nAnswer: 148*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(153) - -3*2*sqrt(153)) + sqrt(153) + 5*sqrt(153)*1)\/(sqrt(225) - -2*sqrt(225) - sqrt(36)\/sqrt(4)*5))**2.\nAnswer: 2873\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 657272557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 + -83. Let b = r - -28. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 divided by -5?\nAnswer: 241\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -5. Let z = 10 + k. Let w = -0.00001 - z. What is w rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 63*x**2 - 636*x + 700.\nAnswer: -(x - 1)*(x + 14)*(x + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3054 + 0.4054. What is the third smallest value in 208, -0.5, l?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-2)*3\/6. Suppose 0 = q + 2*j - 5, -q = -k*j + 2 - 11. What is the highest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 149 = -5*q + 29, -40 = 2*a + 4*q. Sort 3, -4, a, -1 in ascending order.\nAnswer: a, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 11130515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 4 - (-13 - -12). Let y(a) = 2*a**2 - 8*a - 7. Let q be y(t). Let b be 1\/q*(-9 - -9). Solve 4*p - p + 12 = 3*l, b = -l + 4*p + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1355.8 + -1600. Let a = 275 + g. What is a rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6048 by 6.\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + 0*p**2 + 3*p**2)*(-29758 - 8699 + 924 - 22384) in the form z + a*p**2 + r*p and give a.\nAnswer: -119834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 - 20 + 4261*v - 4261*v)*(27 + 2*v - 27) to the form u + g*v + c*v**3 + o*v**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4 = -0*u + 2*u, 0 = u - 2*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -686 * 0.2.\nAnswer: -137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(4320) + (sqrt(30) - sqrt(750)*2))\/(sqrt(864) - (1*sqrt(864)*-1 + sqrt(864))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:18 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1981 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 9*k**2 + 8*k + 2. Let i be p(-8). Let g(o) = -6*o + o + 5*o - i*o**2. Let r(b) = -19*b - 26*b + 8*b. Calculate r(g(h)).\nAnswer: 74*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 14. Let k = 3 + u. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 314 + -188. Calculate the common denominator of -9 and (-346)\/h - 38\/(-171).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -270762*y**2 + y + 312311.\nAnswer: -541524*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*j - 64 + 31, -3*q + 3*j + 81 = 0. What is the remainder when 84 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13985087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/7 (b) -196142 (c) 2\/7 (d) -5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561050 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4404.72 centuries?\nAnswer: 440472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eff when three letters picked without replacement from {f: 2, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 3 - 33 - 13450*t + 99*t)*(-5*t + 3*t + 0*t).\nAnswer: 26702*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1038 and 143417?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -1\/8, -0.4, -12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1695 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 5. Is f(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (19 + (-21 - -24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*v + 18 = 0, -25 = -5*q + 4*v - v. Suppose -3*n - q*n + 40 = 0. Let l(p) = -2*p + 2. What is the remainder when l(-6) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*x + 280 + 107*x - 212*x.\nAnswer: x + 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -87. Let m be (-15)\/125 + 6\/g. What is the closest to -4 in 0.5, 1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -87 (b) 1\/9 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 6*a - 5. Suppose -3*d + 26 = 8. Let l be s(d). Suppose -5*z + 10 = 0, -2*z - 5 = -4*k + l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 215, -4, 33.\nAnswer: -4, 33, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14 - (-90)\/(-9)) + 1. Let f = 2 + -2.5. What is the nearest to 2\/5 in f, l, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/7 (b) -3\/5 (c) -3\/7 (d) -2\/13 (e) 0.083\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15066 - 208?\nAnswer: -15274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*j**3 + 324*j - 324*j)*(2 - 2 + 1)*(0 - 6 + 0 - j) as d*j + p + a*j**4 + y*j**3 + x*j**2 and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 3. Let h(a) = -15*a - 20. Let y(t) = 8*t - 132. Let i be y(14). What is i*r(g) + 3*h(g)?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Solve y = -2*y - 6, -3*p - 3*y - u = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -7. Let f be (-99)\/(-81) - b\/(-18). Let r be (-1 + 9\/7)\/(145\/203). Is f < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*c = -18, -61437*w + 61436*w + c = 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 2*a + 4. Let d be p(2). Let q be (-12050)\/d*-48*5. What is q rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 1085*u**3\/3 - 1345*u**2\/2 - 2*u - 226. Differentiate m(a) with respect to a.\nAnswer: 2170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 25 = 225*g - 220*g + j, 5*g + 4*j + 21 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42929595.\nAnswer: 3, 5, 89, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 3:52 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 20. Let n be t(-17). Suppose n*u + 2*u + 1 = -3*w, 2 = 2*w + 2*u. Suppose 5*i = w*v - v - 63, -2*i + 42 = 2*v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 237, 236, 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**3 - 7*g. Let t(v) = 17*v**3 - 11*v. Let l = 28 - 20. Let u(z) = l*a(z) - 5*t(z). What is the second derivative of u(p) wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-10))\/((-4)\/20). Suppose 4*n + j - 4 = 0, -4*n + 6*n - 2 = -3*j. Let d be (6*n)\/(w\/(-9)). Solve d*z = 4*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 17*r**2 + 65*r + 12. What is the remainder when 147 is divided by m(20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(14 + -6 - 14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13743241 less than or equal to -13743251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 26*z + 264 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-8)\/(-14)))\/(279\/(-656208)*-196).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373009 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: Let g be 0*(-5)\/(-20)*2. Suppose l = 5 - 2. Suppose 16 = -l*t + 7*t. Solve u - 2*i = -g - 3, -u + 3*i = t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-11)\/u)\/((u\/u**(2\/27))\/u)*(u*u**(2\/9)*u)**(-3\/10))**(1\/3) assuming u is positive.\nAnswer: u**(-340\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.6 + 33.7. Let u = -481655435.9000183 - -481655456. Let v = a - u. What is v rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h, -3*x + 3*h = -0*h + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = 1. Suppose -2*w - 5*m + 70 = 0, -4*w - l*m + 135 = 19. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 16*i**2 + i - 8. Give k(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*1050\/140\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-10) - 0)*(-9)\/(-9). Which is the closest to q? (a) -3 (b) -14 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2497 + -2496.999993452. What is k rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 1. Let l be k(3). Suppose 2*a + 92 = 4*y, y - 5*a + 92 = 5*y. Suppose -5*h = -y + 3. Solve 0 = -q - q - 3*g - l, -3*q = -h*g - 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 1226122.\nAnswer: 12261220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39275, -78555, -117835?\nAnswer: -157115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-32) - 42\/(-4). Let y(n) = 0*n**2 + 5*n**2 - 6*n**2 + 2 - 12 - g*n. What is the units digit of y(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 3*a**8\/28 - a**4\/4 - 13*a. What is the third derivative of p(v) wrt v?\nAnswer: 720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4267*a**4 - 22*a**3 + a - 4266*a**4 + 5*a - 6*a to the form y*a**2 + f*a + t*a**4 + u + c*a**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 1:42 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8838.06 - 8838. What is the biggest value in 2\/5, -3, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -437519 and -2187591\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429325.\nAnswer: 5, 13, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*o + 46*o - 678*o + (4 - 1 - 2)*(o - 10*o + 7*o) to the form s*o + m and give s.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 56*z - 32*z**3 + 32*z**2 + z**4 - 3*z**4 + 6*z**4 - 192 - 18*z + 90*z = 0. Calculate z.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -3 + 148\/4. Solve c - u = -4*d - 10, -2*d = 2*c - 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 greater than or equal to 88358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 259 + -257.815. Let z = i - -0.075. What is z rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.63047 to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -r - 4. Let p be (176\/220)\/(2\/5). Suppose -3*u - 5 = -4*u - p*d, 46 = 5*u + 3*d. What is the remainder when r is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2.1. Let f = 1.06 + -0.06. Let n = f + -3. What is the nearest to x in -0.4, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -3.6. Let t = 3.3 - m. Let j = -1.05 - -0.05. Which is the nearest to j? (a) t (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12450 divided by -2490?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 305274069*m**3 + 116890798 wrt m.\nAnswer: 915822207*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 69 (b) -1\/3 (c) 0.05 (d) 2\/5 (e) -2 (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(128\/(-12)))\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 972 - 970. Suppose -4*h + 9 = -27. Suppose p - 4*o = 6*p - h, -3*p + 27 = -3*o. Which is the nearest to g? (a) p (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -369100 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 7*c**6\/2 - 8*c**2 - 11. Find the second derivative of p(z) wrt z.\nAnswer: 420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 - 3*j**2)*(33*j**2 - 33*j**2 + 21*j**3 + 2*j).\nAnswer: -63*j**5 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 5 (b) 2\/5 (c) 109484\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -12\/5, -7, 1\/6, 0?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -28*f**5 + 8*f**4 + 56*f**3 - 16*f**2 - 28*f + 8 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 - (-77)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 - -92. Let k = -34 - c. Which is greater: -2\/69 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.6, 22, 2\/9, -0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 24*s - 7. Let g(c) = 25*c - 8. Let r(b) = -5*g(b) + 6*q(b). Is r(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30933803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 3*u - 4, 4*o = -2*u + 10. Let z be (-1)\/(-2)*o*-2. Let t(a) = -6 + 5 - 7*a**2 - a**2 - a. Determine t(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4)*-1*(-204)\/(-306)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286419 is divided by 388?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -11*i**2 - 56*i + 10. Let w(p) = -91*p**2 - 448*p + 84. Give 2*w(k) - 17*x(k).\nAnswer: 5*k**2 + 56*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 13*k + 1. Let a(m) = m**3 + 10*m**2 + 2*m + 22. Let c be a(-10). Calculate q(c).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995 is divided by 202.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - q)*(1 + 1 - 3 - 4 - 2 + 4 + (-3 + 0 + 2)*(-3 + 0 + 1) - 2 - 2 + 3 + 4 + 0 - 6 + 0 - 4 + 2).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -7) + 13 + -1. Suppose -v*q = -16*q - 21500000. Round q to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - a + 1. Suppose 4*o = 3*o - 36. Let u(m) be the first derivative of 14*m**3 - 18*m**2 + 36*m + 240. Give o*r(q) + u(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -287260 and 1.58?\nAnswer: -453870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00241 rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 2, h: 4, t: 8}. Give prob of sequence khlk.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(2\/2))\/(26\/(-22932))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:27 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/16*(21 - 1). Let f(o) = 35*o**3 + 18*o**2 - 6*o + 9. Is f(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -752 - -877. What is the second derivative of o*a**3 - 30*a - 14*a**3 - 2 + 15*a**3 + 1 wrt a?\nAnswer: 756*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((1353\/9)\/(-11))\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 4926.\nAnswer: -4926.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3475759 rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 - 69*s**2 + 23*s + 26. Let m(z) = 2*z**3 - 35*z**2 + 14*z + 13. What is -5*m(c) + 3*y(c)?\nAnswer: 2*c**3 - 32*c**2 - c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.449 + 8.449. Which is the third smallest value? (a) -4 (b) -3\/4 (c) -3\/8 (d) 1\/5 (e) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 + 36*m**2 + 93*m - 126 = 0. What is m?\nAnswer: -3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(57)*-2*-6)\/sqrt(192))*-2.\nAnswer: -3*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2531*v**3 + 5*v + 2*v - 809*v**3 - 7*v.\nAnswer: 1722*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*u + 21 = 2*u, l = 2*u - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 15. Let w = -12 + -3. Let r be n(w). Suppose r*u + 15 = 5*u. Is u < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1143*h**5 + 110*h**5 + 4*h + 433*h**5 + 632*h**5 wrt h.\nAnswer: 46360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10794*a - 2 - 5395*a - 5366*a.\nAnswer: 33*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*l - 2317 = 735 + 4028 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:21 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16296*z**3 + 2*z**2 - 3540*z - 2.\nAnswer: 97776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from cshlpcs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2359184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14620*k**3 - k - 1 - 14619*k**3 + 0*k)*(26*k**2 + 35*k - 35*k).\nAnswer: 26*k**5 - 26*k**3 - 26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - (-252736)\/(-5060))\/((-4)\/10).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22326\/11 or -2029?\nAnswer: -22326\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(2422\/2768)*28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, 80, 230, 462, 794, 1244?\n\"Answer: 3*y**3 + 14*y**2 + 23*y - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 644 in 2\/35, -2, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55041*a*p**3*u**2 + 2*a*p**2*u - 6*a*p**2 - 3*a*p*u**2 - 6*p**3*u**2 - 6*p**2*u**2 - 426*u**2 wrt p.\nAnswer: 330246*a*u**2 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/4 - 7*q**3\/3 - 5*q**2 - 15*q + 1. Let b be (-189)\/(-84)*(-8)\/3. What are the prime factors of n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 7*f**2 - 7*f - 3. Let t be 7 - (-18)\/((-60)\/8 + 6). Determine x(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 6*t + 4. Suppose h + 10 = 4*h - 4*j, 2*j = 5*h - 40. Let n be s(h). Suppose 4*d = 2*d + n. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45627\/(-547524))\/(13\/(-720))?\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24.59 and 0.04.\nAnswer: -0.9836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**5 - 12*h**4 + 73*h**3 - 75*h**2 + 43*h - 5. Let i(z) = z**4 + z**3 + 5*z**2 - z - 1. Let m(u) = 2*g(u) - 10*i(u). Find j such that m(j) = 0.\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 5*m + 5*u - 124, 0 = -m - 2*u + 13. Let o(v) = -v**3 + 3*v**2 + 4*v + 2. Let z be o(4). Solve 7 = z*g + m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*a + 25 = 0, -2*d + 4*a = -0*d - 20. Suppose d = -v - 18 + 22. Solve v*x = x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**6\/180 - 7*j**5\/20 - 29*j**4\/24 - 11*j**3\/9 - 112*j. Solve b(d) = 0.\nAnswer: -1, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2. Let f = 174 - 162. Let v(x) = -11 + 0*x - 1 + f + 2*x. Calculate n(v(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r. Let t(i) = -47614*i. Calculate t(o(n)).\nAnswer: -142842*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/20 - a**4\/3 + 2*a**3\/3 - 6*a**2. Is y(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266848 divided by 7853?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11252520 divided by -16308?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 1034133730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 + 17*p + 66. Give b(-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 6:25 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f + 5. Let g be 3 - ((-16)\/f)\/4. Let j = 1 + 1. Solve -j*x = -g*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - 2*sqrt(1216)*4) + sqrt(1216) + 5 + (sqrt(19) - sqrt(19)*-2*-2))**2*-3.\nAnswer: -148332 + 1530*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -86*v - 305. What are the prime factors of c(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3888 is divided by 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -51 - ((-2 - 1) + (-34 - 8) + 17 + 19)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1065 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*c + 0*c + 2*c - c + (4*c + 0*c - 2*c)*(2 - 1 + 0) + 2*c + 4*c - 5*c - 3*c + 6*c - c)*(4 - 1 + 0) - 50*c + 180*c + 45*c.\nAnswer: 184*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*5\/10 - -2. Let b be (-6)\/5*20\/l. Let f(y) = 2*y**2 - 3*y - 2. Let d be f(b). What is d rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/12 + 2*w**2 - 42*w. What is l(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3333963.\nAnswer: 3, 941, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-2) + (-2)\/4. Let l(m) = -2*m + 14. Let a be l(5). Solve -a*b - q - q = -22, -b + 2*q = k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**3 + 130*u**2 + 585*u + 450 = 0.\nAnswer: -3, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81807 and 382503.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3358 and 1460?\nAnswer: 33580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.2, -6394, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 40, 16, 1\/5 in descending order.\nAnswer: 40, 16, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3270\/(-5995))\/(15\/6325))\/((-2)\/(-1))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**6\/15 + 3*w**5\/10 + w**4\/3 - 9*w. Factor k(l).\nAnswer: 2*l**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21303007\/380 - 224287\/4. Let v = -111\/10 - f. What is the second smallest value in v, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y*(y*y**(-4))\/y)\/(y**5*(y\/((y**1\/y)\/y))\/y) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420092526 is divided by 6262.\nAnswer: 6256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 70*d**2. Let u(p) = 4*p. Give u(y(h)).\nAnswer: 280*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(-4*u + u + 5*u) + 5 - 5 - 3*u)*(-4 + 4 + 1).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6470157 + 16*l - 6470155 + 22*l - 32*l + 12940312.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:43 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(7\/3))\/f)\/(f**(-6)\/f)*(f**0)**(1\/2) assuming f is positive.\nAnswer: f**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 5*w**2 - 3*w + 4. Determine o(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -296 * 89.\nAnswer: -26344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2\/5*r**4 + 0*r + 2\/5*r**2 + 2\/5*r**5 + 0 - 2\/5*r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -11 + 5. Solve -3 = -5*k - q*p, -5*p + 4 = -p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00118386 to 5 decimal places.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6172 + 332 = 0. Let h(c) = -591*c + o*c - 593*c. Let u(r) = 3*r**2. Calculate u(h(b)).\nAnswer: 768*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 - l**2. Suppose 2*r - 2 = -6. Let t be j(r). Calculate the highest common factor of 50 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1939, -7724, -17365, -30862?\nAnswer: -48215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 2*h + 0*h. Let w(r) = -3*r + 16 - 23 + 7. Give w(b(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1610.2 - 1610. Let s be (-2)\/(-5) - (-12)\/(-5). Which is the nearest to l? (a) -3 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4885, -4884, -4883, -4882, -4881, -4880?\n\"Answer: s - 4886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = 2*p - 132 + 345, 38 = p + 2*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbtbbnruunrtu. Give prob of picking 2 b and 1 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 5*d. Let v be r(-5). Let u be 2 + 4 + (v - -2). Let k(g) = 7*g - 15. What are the prime factors of k(u)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702, -699, -694, -687, -678, -667, -654?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4\/(-8)*1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6984, 27748, 62344, 110772, 173032?\n\"Answer: 6916*x**2 + 16*x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -131*q**4\/6 - 11*q**3\/6 + 13*q**2\/2 + 43*q. Find the second derivative of m(r) wrt r.\nAnswer: -524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**2 - 19*m**2 + 1 - 1 + 22*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 1. Let b(r) = -r**2 + 13*r + 13. Let i be b(a). Let f(d) = -d**3 - 3*d**2 - d - 1. Let y be f(-3). Solve -y*t = 3*t - i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -10\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + 0. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1.2, -8, -13 in ascending order.\nAnswer: -13, -8, -0.2, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in -0.08, -27, -5, -73, 3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 92505543 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 3240*h**3 - 39456*h**2 - 1024*h + 841728.\nAnswer: 4*(h - 822)*(h - 4)*(h + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -649 - 0?\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * 167\nAnswer: -250.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -179*p - 393*p + 571*p. Let o(r) = -6959*r**2. Calculate o(v(x)).\nAnswer: -6959*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 1. Let y be w(-3). Suppose 350 = y*j - 248. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 3:03 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7923009.\nAnswer: 3, 457, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2 - 1 + 2*n)*(-n**3 + 3*n**3 + 0*n**3).\nAnswer: 2*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12052939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 + -3. Let d = i + 2.8. Let z = -4 - -6. Which is the biggest value? (a) z (b) 4\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 344883?\nAnswer: 344883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 10:31 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuzzuuzuuuuz. What is prob of sequence uzzu?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-544)\/57596)\/((-508)\/(-889))?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 60. Solve 0*o - b = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 2:48 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 351.7 - 351.6999998284. What is m rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1668 is divided by 210?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = 32*a - 52 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*w + 11 = 0, w - 29 + 5 = -4*r. Let f(g) = -5*g**2 - 2*g + 3*g + g**3 - 7*g**3 + r*g**3. Determine f(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.27 + 45.27. Let a be ((-10)\/(-8))\/((-3)\/(-12)). Put a, k, 2 in decreasing order.\nAnswer: a, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -326 + 325.6. Sort -4, g, 2\/17, 0.3 in decreasing order.\nAnswer: 0.3, 2\/17, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Let s be 136\/(-6)*9\/(-6). Suppose z - y*z = 2*g - s, -2*g + z + 46 = 0. Calculate the remainder when 40 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111452967.\nAnswer: 3, 31, 399473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*a = -242 + 3275 + 621 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-11\/5)*h*h)\/((h*(h*h**10)\/h)\/h))**(-18) assuming h is positive.\nAnswer: h**(918\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4.1. Suppose 51 = 4*s + 3. Suppose 0*u = -4*u + s. Which is the closest to d? (a) u (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 - 5*j - 1. Let g(v) = -v. What is -5*g(w) + o(w)?\nAnswer: -5*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21510 is divided by 169?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1047620)\/(-98) - (0\/(0 + 2))\/2. Calculate the highest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 3*g + 606. Suppose -s - 5*s = -s. What are the prime factors of h(s)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 12. Suppose 0 = -3*d + 3 + 6. Suppose 176 = d*f - 14*f. Let c be f\/(-88) - (-101)\/(-11). Determine j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 97356 and -446 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -363 + 276?\nAnswer: -ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -3*a - 5\/9*a**3 - 7\/18*a**4 - 1\/3*a**2 - 1\/10*a**5 + 0. Let q(f) = 0. What is f?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*w - 532. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98373818?\nAnswer: 2, 49186909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3, -40 in increasing order.\nAnswer: -40, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0091286 - -138.42?\nAnswer: 138.4291286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2 - 1. Let y be (2 - (k - -1))*1. Let a be y*1*(-2 + 4). What is the greatest common factor of a and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.117 - 0.183. Let c = 1.7 - y. Let l = c - 14. What is the third biggest value in -1, l, 2\/21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-2)\/(-4)). Suppose 3*z - r = 14. Calculate the greatest common factor of z and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 1 - (0 - -11). Let t(x) = -7*x + 4. Let v be t(3). Let f = p - v. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {q: 5, u: 3, f: 1, t: 7}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d96 + -2a3?\nAnswer: 2ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123475841?\nAnswer: 67, 89, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**27)**(-2\/99)*(g**24)**(9\/4))**19 assuming g is positive.\nAnswer: g**(11172\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {b: 1, u: 2, l: 1, c: 2, i: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/760 and -7\/438425.\nAnswer: 3507400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = -6. Suppose 3*y = -2*w + y + 102, -z*w + 5*y + 177 = 0. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*q**4 + 1164*q**3 + 23 - 1167*q**3 - 2*q + 166*q**4 - 4*q**2 to the form t*q**3 + p*q + r + m*q**2 + l*q**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8822.\nAnswer: 2, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 188.2728 weeks?\nAnswer: 31629.8304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/9 and -145\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(80) + 2*(sqrt(5) - sqrt(45)) + -1.\nAnswer: -16*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 8:32 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56\/(-21))\/(2\/6 + -1). Suppose c*x - 2*x = -6. Let u(z) = -z**2 - z - 1. Let r(s) = -s**3 - 3*s**2 - s - 2. Let d(p) = -r(p) + u(p). What is d(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/2 - (1 - 3). Let m be (4 + -3)\/(2\/4). Suppose 0 = 5*g + x*k - 40, -2*k = -k - m. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 20. Let o(z) = 5*z - 37. Calculate 6*o(q) + 11*s(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*c + 3*c. Let d(g) = 3 + 6 - 3 + c*g - 4*g. Let l be d(7). What is the highest common factor of l and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*n + 268*n + 273*n = 836*n + 204 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2533536, 5067088, 7600654, 10134240, 12667852, 15201496, 17735178?\nAnswer: 20268904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4378 = -2*l - 4380. Is l at most -493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003797027 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22617347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/2 + -2)*-1. Let f(v) = 19*v - 2. Let p be f(u). Suppose -s = 3*s - p. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*p - 12 - 898*p + 286*p + 296*p to the form g + z*p and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 39 = -5*u + 23*p, 4*u = -4*p + 44. Solve -d = -3*m - 10, -3*m - 2*d + u*d - 14 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 7751.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 take away -13615139?\nAnswer: 13615092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*v + 4*t - 16, -3*t = 0. Let g = 34 + -21. Suppose 5*l - g = -38. Sort v, l, -1 in decreasing order.\nAnswer: v, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200021 - -2?\nAnswer: -1200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 9794?\nAnswer: 8\/4897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c + 62. Let a be x(11). Let w(u) = 9*u - 7. Let j(q) = -3*q + 2. Give a*j(r) + 2*w(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 + 17176*q\/13 - 6890496\/13.\nAnswer: 2*(q - 384)*(q + 8972)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 0 - (-3 - 0). Let u be (-1)\/((-22)\/10 - -2). Solve g + 3*r - 5 = l, g - 3*r + u = -r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 0*x + 16540*x**2 - 8265*x**2 - 8267*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 445920 divided by -6\nAnswer: -74320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f + 1. Let y be v(-1). Suppose 3*x - 2*x + y = 0. Let k = x + 27. Calculate the highest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -8\/827, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 9984992.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4 - 19. Suppose -p*t - 2 = 18. Suppose 3*f - 2*h = 8, f + 2*h + 7 = 15. Which is the nearest to -1\/4? (a) f (b) -2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046728 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42610618471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-97)\/(-388) + (-17)\/36 - 95\/774 and 21\/860.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**3 - 796*i**2 + 10364*i + 1675804 = 0?\nAnswer: -37, 67, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.7 and -0.1?\nAnswer: 2.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 181 - 6. Suppose 3*j - 22 = -3*i - 2*i, 0 = -2*i - 3*j + b. Solve -3*y - i*m = -19, 0*m - 2*m = -4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/476 and 169\/126.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a = -5*i + 3700, -a + 2*i - 37 = -87 - 45 for a.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = -21*k + 87*k. Solve 0 = 25*m - 28*m - k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -9 + 13. Solve -d*v - v - 11 = 2*s, s + v = -5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7659, -8406, -9153, -9900, -10647, -11394?\nAnswer: -12141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxkxkkxxxkxx. Give prob of sequence xxxx.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from eevvejeevjejjevjjj.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.205 + 0.1065. What is o rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 10*w + 9. Let m be h(-8). Let q = -59 + m. Calculate the common denominator of (-14)\/(-15)*65\/8 - q and -97\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.22 + -0.22. Let c = 20.07 - l. Sort c, 5, -3\/8.\nAnswer: -3\/8, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -10*h - 51. Let z be (6\/3 - 1)*-5. Let x be o(z). Let t be x + (0 - 1) - 18\/(-6). Solve 4*g + t = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2336 - 1337. Suppose 0 = 4*r + 3*n - w, -5*n + 10*n = -2*r + 503. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -1, 771, -9, -0.4 in ascending order.\nAnswer: -9, -1, -0.4, 1\/8, 771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 31. Suppose 10*s = -n*s + 30. Let j be (-7)\/(-2) + 1 + (-13)\/(-26). What is the greatest common factor of s and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**2 + 15*d - 4 + 28 + 4*d**2 - 12*d**2 - 2. What is x(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16298897?\nAnswer: 16298897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6.7. Let p = -0.4 - -0.9. Let k be (-3)\/(-6)*4\/6. Put p, k, d in descending order.\nAnswer: p, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:53 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 13*j - 14. Let r(t) = -t**2 - 11*t + 11. Let p(w) = -3*k(w) - 4*r(w). Calculate p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**2 + 1471585*t + 6337987 wrt t?\nAnswer: -4*t + 1471585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -996632 divided by -226.\nAnswer: 498316\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 5. Let v be s(-6). Suppose 0 = -3*z + 7*z - 80. Let g = z + -61\/3. Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 2*d**2 + 9*d + 15. Determine b(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*l - 22, 18 = 3*y + 18567*l - 18564*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-102)\/(((-2)\/5)\/((-1713)\/(-15))). Is 3\/(-8) - s\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -24. Let t = p + 21. Let r be 6*(-20)\/t*265. What is r rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Suppose 7*l + 1118 = 1153. Let c(s) = -8*s. Calculate l*c(o) + 20*d(o).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5600 + 5478 - (-2 - 84)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + -10100?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 1. Let n(g) = -2*g**3 - g**2 + 3*g - 16. What is 3*c(p) - n(p)?\nAnswer: 2*p**3 + p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.2 + -32. Let d = u - 2.16. Is 1 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*w + 45*w + 396 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/140 - -4*3\/30\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) + (6 - 13) + 8. Suppose -b = -9 + 7. Let v(j) = -2 + 1 + 2*j**2 - 4 - b*j - 2*j. What is v(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Suppose -y = -j*y + 6. Suppose r = 2*g - 4*g + 14, 0 = 5*r + y*g - 110. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 21*c**3 + 6*c**2 + 106*c + 379. Calculate j(-4).\nAnswer: -1293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5671090822488 - -8\nAnswer: 5671090822496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 8 + 8*q - 11 - 8*q to the form b*q + i*q**2 + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 10*k - 1. Let x be p(4). Let g = 13 + x. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220355728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 1152?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-40986)*69*(0 - 1)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 3*c**2 - 27*c**2 + c**2. Let q(u) = -3*u**2. Determine q(f(g)).\nAnswer: -2700*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5\/23 + 22*t**4\/23 - 2044*t**3\/23 - 24996*t**2\/23 + 22806*t + 304290 = 0.\nAnswer: -21, -15, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1)*15\/(-60))\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -133. What is the least common multiple of j and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234856242 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1749*s - 802*s + 308*s + 1635*s + (-3 + 4 + 0)*(s - 3*s + 3*s) to u*s + a and give u.\nAnswer: 2891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*q + 15 = -0*q, s + q = -12. Let d(o) = o + 16. Calculate d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 506, 1258, 2186, 3284, 4546, 5966, 7538, 9256?\n\"Answer: -a**3 + 94*a**2 + 477*a - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2014 and 66\/14915?\nAnswer: 1580990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -34. Let x = -20 + q. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 353?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -105 (b) 45 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1005650533 - -5?\nAnswer: 1005650541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6412 - 164)\/(-274) - 1917\/80.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 50\/18 + -3 - (-1081)\/207. Sort j, -4, -1 in ascending order.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(4*n - n - n) + 2*n + 9 + 16*n - 11 to the form y + v*n and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14740 - 14739)\/((-2 - (-31)\/20) + (-1)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -28. Solve 5*r = c*i + 17, -i + 7 = i + 3*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/15 - 100556*c\/15 + 100562\/5 = 0?\nAnswer: -50281, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -23*r. Let z(v) = v. Let p(f) = 13*f**2 + 36*f + 106. Let c be p(-3). Let h(g) = c*z(g) - l(g). Let y(t) = 2*t**2. Calculate h(y(m)).\nAnswer: 276*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -594 - -69. Let d = 551 + j. What is the remainder when 50 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, w: 2}. What is prob of picking 2 j?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((-2 + sqrt(1458))*-2 + sqrt(1458))**2*-3 + -3.\nAnswer: -22109 + 3240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 311073 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*y + y - 3 + 3 + (3*y - 2*y - 2*y)*(-4 + 2 + 0))*(22 - 7 - 7) to the form c + w*y and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 144.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2 = -2*k - 4, 5*k = -15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413 divided by -1.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3005 is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3258324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 5*s**2 - 9*s - 11. Let d = 83 - 35. Suppose -5*a + 148 = d. Calculate the remainder when a is divided by k(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 26. Suppose 0 = -2*l - 0*l + f. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 253 + 9*q - 9*q - 138 + 25*q - 148 in the form k*q + i and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 58*o**2 - 3907*o + 201. What is i(67)?\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1021 (base 6) to base 16\nAnswer: e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-100)\/(-12)*3*4\/5. Let j be (0 - (-12)\/10)\/(6\/r). What is the second smallest value in j, -4\/3, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02874827 and -4.\nAnswer: -0.11499308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6083219 divided by 30.\nAnswer: -6083219\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -4160?\nAnswer: -4156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1086, 0.43, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = -10, q - 80 = 3*v. Suppose 10*c + q = 12*c. What is the remainder when 168 is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:29 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 783 + -782.4. Are k and 28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 13*d**3 - d**2 - 1. Determine i(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 94. Let s = 26 + 20. Calculate the remainder when s is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -4\/5, 2\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*p**3 - 203990*p**2 - 5022875*p + 593750 = 0. What is p?\nAnswer: -2375, -25, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-14)\/(x*x*x**3*x))\/(x**(-4))**5)**(-4\/3) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13450 and 193949?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 679085981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 326735343 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrcx when four letters picked without replacement from {q: 2, h: 1, x: 2, c: 1, a: 8, r: 3}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 3:31 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -157\/4. What is the common denominator of j and 67\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 529481034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r - 7 + 2 + 1244*r**2 + 7.\nAnswer: 1244*r**2 - 22*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 at most 446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - g**2 - 3*g + g**2. Suppose u - 3*o = 3*u - 12, 4*u - 5*o = 2. Let s be h(u). Solve -t = 5*b + 18, 4*t = b - s*b + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 6892085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 6*a + 10. Let j be b(-4). Suppose 0 = j*l + 3*y - 18, 0 = 3*l - 0*l + 3*y - 24. Solve l = -4*u + 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2))\/(0 + 1). Let z = 0.04 - 1.04. Let y = -203\/33 - -19\/3. Which is the closest to z? (a) s (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0566 and -48.5.\nAnswer: -48.5566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 2.1. Do d and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.6 (b) 8\/9 (c) -3\/2 (d) -0.4 (e) 6 (f) 1 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 11:52 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (-6)\/3 + ((-836)\/17556)\/(1\/21)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6792395 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 290926?\nAnswer: 290926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582126?\nAnswer: 2, 7, 13, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = 2*v, -v - 3 = -4. Solve u - 2 = -u + 2*m, -3*m - 6 = w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d**4 - 2*d**3 + 2*d**2 + 2*d - 9. Let u(m) = -m**4 + m**3 - m**2 - m + 1. Let y(q) = b(q) + 2*u(q). What is the derivative of y(o) wrt o?\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 8*d**2 + 10*d - 2. Let w be t(7). Let n be (w - (-2)\/(-2)) + 1. Let p = n - 12. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 69 = -5498372*p + 5498375*p, -5*p = 5*f + 45 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44137 and 1435412?\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6525661 by 16.\nAnswer: 6525661\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 15 = -4*q, -3*r = 37*q - 34*q - 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - b**3 - 4*b**3 + 6*b**3 + (-3 + 4 + 3)*(-2*b**3 - 2*b**3 + 0*b**3).\nAnswer: -15*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, -8, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 298, -82, 44, 4, 5 in increasing order.\nAnswer: -82, -3, 4, 5, 44, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*g - 34, -2*g - 5*u + 16 = -5*g. Suppose -4*f + 5*d + 21 = g, 2*f - 5*d = 14. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191728 is divided by 19397?\nAnswer: 8511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/5, 0.4, -154937?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, t: 1, z: 5, x: 1, h: 7}. What is prob of sequence zhh?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 762633, 762180, 761727, 761274, 760821?\n\"Answer: -453*m + 763086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.7 + -41.46. Let g = 0.6 + 8.8. Let y = g + s. What is y rounded to 1 decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.182?\nAnswer: -0.0546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 2:48 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 295*z - 3060.\nAnswer: 5*(z - 9)*(z + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/19855?\nAnswer: -1\/19855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Suppose c - 2*h + 4 = 0, h = -4*c + c + 16. Let m(z) = -4*z**2 + c*z**2 + z**2 - 3*z**2. Determine r(m(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let k = 10 - r. Calculate the remainder when 12 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 83549248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -557231 divided by 557231\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) - 46\/(-4). Suppose y = 9*m - 5*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 130. List the prime factors of (o - (-4 - -16)) + 201.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*b**2 - 194*b + 248*b**3 - 361*b**2 + 196*b.\nAnswer: 248*b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 385*n - 334. What are the prime factors of w(9)?\nAnswer: 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p\/(p\/p**6))\/p)\/p)\/p)\/((p\/(p*p**(1\/2)*p))\/p))**(2\/29)\/(p**(2\/17)\/p*p**(1\/2)*p)**(-31) assuming p is positive.\nAnswer: p**(19321\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5))**43*((k*(k*k**(-2\/5))\/k)\/k)**(-1) assuming k is positive.\nAnswer: k**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718350259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*l + 3*d, 3*d - 1 + 3 = 4*l. Suppose -5*j = n - 10, 4*n - 2*n - l*j = 8. Solve 0 = -5*o - q + 10 + 1, 2*o + q - n = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*m + 0 - 13*m + 3*m**4 - 4*m**4 as q*m + w + i*m**4 + f*m**2 + h*m**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -293243*d**3 - 5*d**2 - 30791424 wrt d.\nAnswer: -879729*d**2 - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5 - -12) + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*b*d*k + 3*b*k - 4*d - 87 wrt d?\nAnswer: -13*b*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = h. Suppose 6*u + 89 = 101. Let o be -2 + (3 - u)\/((-2)\/(-4)). Solve 12 = -h*q - r, 3*q + o*q = -2*r - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.127871 + 1.127871. Let u(k) = -k - 5. Let y be u(-5). Which is the closest to 4? (a) y (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 280?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, p: 5}. Give prob of picking 3 t and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -36. Let k = p - 40.9701. What is k rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36037256 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**4 - a**3 - a. Let g(o) = -2*o**5 + 2*o**4 + 14*o**3 + 16*o**2 + 8*o. Let s(p) = g(p) + 2*h(p). Factor s(f).\nAnswer: -2*f*(f - 3)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6590)\/(3\/(-15)). Let m = k - 49433\/2636. Calculate the common denominator of m and ((-3)\/(-21))\/(3 - 2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 821 by 82598.\nAnswer: 821\/82598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*k, 5*r - 4*r - 13 = -3*k. Let n be 1 + 0 + -10 + 9. Solve 3*d + n = 5*b + 8, -r*b = d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*z + 2926*z = -2471*z - 125685 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-13)*c*c*c\/(c\/(c*c**(3\/11))) assuming c is positive.\nAnswer: c**(-96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13888 rounded to 3 decimal places?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 58347\/1406 - (-1 - -1). Let k = h - -1\/703. Let d = -16787\/5 + 3368. What is the common denominator of d and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 276*x**2 + 5148*x - 13068.\nAnswer: 4*(x - 33)**2*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 37 = 25. Solve 9*s = -4*p + 4*s + 24, -p = j*s - 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.05\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 836113 = -2*h, 616*v + 5 = 615*v. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695185 <= 1695190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -54*n + 61. Let l = -206 + 195. Calculate the remainder when b(l) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2876734 and 4?\nAnswer: 5753468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428499 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4576, 4599, 4622, 4645, 4668?\nAnswer: 4691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/14)\/(244\/((-888160)\/(-390))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + q)*(-2 - 1 + 1)*(0 - 1 + 4).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**3 + 2*q**2 - 2*q + 3. Let x be u(3). Let a = -80 - x. Differentiate -11*b + 26*b - a*b - 16 wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 0.28 (c) 3\/59495\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101155777 and 2315?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 575*z**3 - 9170*z**2 + 293816142 with respect to z.\nAnswer: 1725*z**2 - 18340*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 + 288. Let c = l + -154. Let d(j) = j**3 + 4*j**2 - j + 6. Determine d(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 636290?\nAnswer: 636290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3077 at most as big as 0.003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*-3*sqrt(5) + sqrt(55)\/sqrt(176)).\nAnswer: -33*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882798534 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (0 - 1\/(-3)). Let i be 2\/12*3 - 26\/36. What is the nearest to -1\/2 in i, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.19 + -0.19. Let k = -12.948 + w. Let g = 0.0520062 - k. What is g rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -902557.\nAnswer: 16\/902557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2154.01 rounded to the nearest 10?\nAnswer: -2150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddlldddddddd?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**2 - 10*i - 39. Let s be f(11). Let b = s + -1004\/3. Put 6, b, 4 in descending order.\nAnswer: 6, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/81882 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2241.69984 milliseconds to days.\nAnswer: 0.0000259456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 7, m: 4, y: 1, g: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1882 + 3581 - 2016)*(i + 0 + 0)*(-i + 3*i + 2*i).\nAnswer: -1268*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5776115306 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4051168120.\nAnswer: 2, 5, 109, 823, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 - 7*w**2 + 6*w**2 + 24*w**2 - 9*w**2. Let f(q) = -2*q**2 + 8. Calculate x(f(h)).\nAnswer: 72*h**4 - 576*h**2 + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvnn when four letters picked without replacement from nnaannnavnanannaanna.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.3 + 6. Let h be (-2)\/5 + (-36)\/(-65). Let w = -58 - -56. What is the nearest to w in h, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**3\/3 + d**2\/2 + 2*d - 3. What is the remainder when 22 is divided by m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 2:34 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 216824355 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h**4 - 295*h**5 - 10*h**2 + 297*h**5 - h**3 - h**3 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**28*w*w**31\/w assuming w is positive.\nAnswer: w**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8 = 3*d. Let z(u) = -4*u**3 - 2*u + 1. Let m be z(1). Let x be 3 - m\/((-5)\/(-2)). Solve 2*y = x*g + 6*y - 16, 2*g - 12 = d*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjjejg. What is prob of sequence gje?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15993.71266 - -15995. What is u rounded to two dps?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2697 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360.99101 plus -1337.4?\nAnswer: -976.40899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9276, -9294, -9310, -9324, -9336?\n\"Answer: z**2 - 21*z - 9256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 6*k + 6. What is the remainder when 3\/(966\/308 - 3) is divided by t(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/301 in 4\/5, -2\/13, 0.02, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.77 - 2.23. Let c = -5.88 - 0.12. Sort u, 3, c in decreasing order.\nAnswer: 3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7901336 is divided by 435.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 463680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134.1 - -134.15. Put -0.1, -156, n, -0.2 in increasing order.\nAnswer: -156, -0.2, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122518 is divided by 76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - -143768?\nAnswer: 143782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-2) + (7 - -1). Find the second derivative of -21*y + 5*y**2 - d*y**2 + 9*y wrt y.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103573 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 s be 24*(-1 - (-1)\/2). Let o(m) = -m**3 - 11*m**2 - 5*m - 8. Let i be o(s). Suppose -5*v - 66 = -i. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 0.1, 705?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*l + 2\/7*l**3 + 1\/7*l**4 + 4\/7 - 3\/7*l**2.\nAnswer: (l - 1)**2*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*p + u, 53*p = 55*p - 2*u - 40. What is the remainder when 6119 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y**2 - 100*y - 1091. Let t be i(-11). Solve -t*r + 1 = -1218*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42a7 - 5?\nAnswer: 42a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*q + 28436, -3*a + 7*a - 56827 = 3*q. List the prime factors of a.\nAnswer: 7, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -15. Let u(b) = -b - 1. Let r(s) = -2*s**2 + 3*s + 3. Give a*u(p) + r(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-8)\/(7 - 3). Let o = 796 - 797. Which is the closest to 0.3? (a) o (b) v (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802683 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 8*k + 2. Let g(s) = -2*s**2 - 5*s - 1. Let o be 3\/((-3)\/(-5)) - 0. Let v(y) = o*r(y) + 8*g(y). Determine v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 3\/4*d**2 + 7*d + 1\/24*d**4 - 1\/3*d**3 - 3. Factor z(f).\nAnswer: (f - 3)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146834759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q**2 + 2*q. Let z(c) = -21*c**2 - 28*c**2 + 45*c**2. Give j(z(n)).\nAnswer: -240*n**4 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 5*d - 3. Suppose 0 = 2*i + 8 - 4, 0 = 2*x - 4*i + 14. Let k be (10 + x)*1*5. Give q(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -25*u**2. Let i(g) = 62*g + 62*g + 58*g - 245*g + 64*g. Calculate z(i(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 472 and 470 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/2 + (1 - -3). Let y(q) = q**2 - 9*q + 8. Let i be y(a). Let z be (-3)\/(-2 + -4)*i. Solve 2*h + 0*h + 2 = z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0 + -1 + 1. Let w = -0.05 - 0.06. Let k = -0.82 + 0.32. Sort w, k, h in decreasing order.\nAnswer: h, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*p + 58 = -g, 4*g - 28 = 4*p. Let d = 92 + -64. Suppose 0 = -5*r + g + d. Solve 4*h = 8*h - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-223 - -205)*(-5 - (-308)\/156 - -3).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 21*k + 88. Determine c(15).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 - 4. Let u be l(3). Let d be (-13)\/52 + (-41)\/u. Calculate the highest common factor of 90 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 0 - (9 - 2 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1094 at least as big as -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + n - 3 + 3 - 16*n**2 + 2 to the form q + c*n + d*n**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 + 236. Let h = -27 + 23. Sort t, 1, h in descending order.\nAnswer: 1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1806607 and 1207?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.3. Let n = 530740\/796137 + 6\/265379. What is the closest to -1\/2 in n, -13, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-4) - -1 - 824789\/(-1972) is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 72 = -3*y, -l - 3*y - 13933 = -13957 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274937.\nAnswer: 13, 21149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13 - 60 - 35*m + 20 - 3*m. Does 20 divide r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*d + 4*d = -8, 2*v + d - 9 = 0. Let t = 76 + -75.5. What is the closest to t in v, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let p = 2 - 0. Let z be 1\/(9\/4 - p). Solve t = -z*a + 2 - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 453238409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b = 370. Let s = b - 128. Let d be 2\/8 - s\/(-12). Solve -10 = -d*r - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.037236.\nAnswer: 0.148944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18) + (-80)\/198.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 9 - 1. Suppose -z*b + 3*b = 50. Suppose -4*w + 28 = -3*w - 4*n, 5*w - b = 2*n. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -1 (c) -0.2 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.4, 2, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - 9*t - 2*t - t + 2*t + (0*t + 2*t - 4*t)*(2 + 1 - 1) + 7*t + 5 - 1 - 1)*(2*t - 5 + 5).\nAnswer: -6*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6221 - -130688\/21. Calculate the common denominator of 46\/49 and x.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80677485 divided by -55755.\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 70*r - 400. Let k be j(6). Solve k*a = 25 + 75 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -1 + 1 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -6 (b) -3.82 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 0.1. Let z be ((-33)\/9 - -3)*705\/1175. What is the nearest to g in 0.4, z, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-179 - -202) + (-8)\/1)*14\/35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*j + 23. Let w be ((-21)\/5)\/(j\/(-20)). Let s = 29 - w. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18351 or -18349?\nAnswer: -18349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 16. Let u be 1300\/30*6\/10. Calculate the highest common divisor of m and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -15 (c) -0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 311447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*o + 2*o - 38*o - 2761 + 64 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373581644*f**3*g**3 + 30*f**2*g**2 - 43*f*g**3 - 17092*f*g wrt f.\nAnswer: 2241489864*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + ((-2*sqrt(18))\/sqrt(6) - sqrt(3))))**2.\nAnswer: 432*sqrt(3) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -94 - (0 + (2 - 0) - (899 + -897) - -1)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/((-1)\/3). Let s(b) = 2*b**3 - 3*b**2 + 2. Let i be s(5). Is (n + -2)\/((-3)\/i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**5\/9 + 16*n**4\/9 - 4*n**3\/3 = 0. What is n?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000790993624 to seven decimal places.\nAnswer: 0.0000791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5031.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2877357 divided by 411051\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 281992*g - 2255947. Calculate q(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6432 + 0.9\nAnswer: 6432.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -302710, -605426, -908142, -1210858, -1513574?\n\"Answer: -302716*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 44 = -4*s + 17, 5*s = 3*i + 86. Suppose -2*h + 1716 = 4*j, 855 = h + 18*j - s*j. List the prime factors of h.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**4 + j - 6*j**3 + 2 + 3*j**4 + 32*j**2 - 44*j**2 + 2*j**3 as q*j**4 + w*j + o*j**2 + g*j**3 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*b + w, 5*b - 3*b = 3*w + 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1752 and 18576?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q + 4. Let v be h(0). Suppose 0 = v*l - 39 + 3. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(0 + sqrt(13)) + (sqrt(637) - (sqrt(637) + 1))**2.\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4207 + 1aa?\nAnswer: 4406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.16 - 1.06. What is the nearest to r in -5, 1\/26, 4?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(28)\/sqrt(4)) + sqrt(36)\/(sqrt(12)*-3))**2 - -3*(sqrt(300)*-3)**2.\nAnswer: 24304\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 5)*(3 + 4 - 4)*(-7*f + 0*f + 2*f)*(-5 + 4 + 0) in the form j*f + h and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*u - 111 + 26, 0 = -4*j - 12. What is the third derivative of -u*r**3 + 38*r**2 - 36*r**2 + 13 - 12*r**3 wrt r?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.93791 + -4.94. What is n rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*d - 4*d - 6)*(d**2 + 144*d - 7929 + 0*d**2 + 7927).\nAnswer: -d**3 - 147*d**2 - 430*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/24*-3 + (-15)\/(-2). Let y be 76\/95 + d\/(-10). Suppose -2*z + y*z = -7*z. What is the third biggest value in z, -11, -0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 66?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -24*x**4 + 20*x**3 + 2648*x**2 + 436*x - 440 = 0.\nAnswer: -10, -1\/2, 1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026*j + 0 + 0 - 1013*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 33. Let c be v(0). Calculate the greatest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0 + 0*y**2 - y - 1\/18*y**3 + 1\/60*y**5 + 0*y**4. Solve x(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101101000 (base 2) to base 14\nAnswer: 1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeeeueeeeeeee. What is prob of picking 1 e and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 - 2 = 0. Let u(p) = p**2. Let b(j) = 4*j**2 + 8*j + 7. Let v(q) = -b(q) + 3*u(q). Let f be v(-6). Solve 4*o + 16 = y, s*o - 5*y = -o + f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 361\/322?\nAnswer: 361\/322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 16, 66, 136?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1 + 1.85. Sort x, 0.2, 4 in decreasing order.\nAnswer: 4, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = l - 162. Let s be 4 + l\/(56\/184). Factor 1\/7*q**2 + 6\/7 + s*q.\nAnswer: (q + 2)*(q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-184)\/(-32) - (-1)\/4. Let t = 9 - c. Let 8*a**4 - t*a**2 - 12*a**4 + 7*a**4 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*s + 53 - 19 - 35 to w + r*s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14 - 3 - 5 + 12 - 2*r. Calculate o(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 3. Let t be d(6). Let s be (-2 - -18)*(-2 - -1). Is s at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(5\/(-5 - -490)). Let p = -149 + l. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 133\/21 + (-1)\/3. Suppose 5*s - f*s - 102994 = 0. Let o be s - (-6)\/(-3) - 4. What is o rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 14 = -5*d, -n + 58 - 57 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*y - 2*y - 2, y = 2*v - 10. Suppose 0 = 5*b + 4*a - 25, -2*b - 3*a + 20 - v = 0. What is the units digit of (-22 + b)\/((-6)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a. Suppose -2*b = 1 - 3. Suppose -b + 5 = 2*p. Sort p, -5, a in decreasing order.\nAnswer: p, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*h - 881*h - 1 + 548*h.\nAnswer: -19*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285082039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 842618 and 794122?\nAnswer: 6062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/5, 0, -2\/9, -7 in decreasing order.\nAnswer: 1\/5, 0, -2\/9, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 + 99*y**5 + y + 2*y**4 + 20 - 40 + (3*y**3 - y**2 + y**2)*(2*y**2 + 3 - 3).\nAnswer: 105*y**5 + 2*y**4 + y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -550*g + 3858. What is y(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2 - -2)\/((-35)\/(-10)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/(-6))\/4*96\/(-32). Find the first derivative of -139*m**2 - 23 - a + 25*m**2 wrt m.\nAnswer: -228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -189*b. Let o(x) = x**2 - 5000*x. Give a(o(r)).\nAnswer: -189*r**2 + 945000*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 20*o - 1. Calculate v(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*z**3 - 6*z**4 - 13*z**3 + 783*z**4 - 423*z**4 - 176*z**4 + (0 + 2 - 3)*(3*z**4 - 3*z**4 + z**4) as m*z + l + a*z**2 + g*z**4 + f*z**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47206 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03722 - 5.03722. Sort 5\/47, -0.3, m.\nAnswer: m, -0.3, 5\/47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -21 - (-1 + 0\/(-1)). Calculate the smallest common multiple of 20 and (-355)\/d - 1\/(-4).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/120 - 7*r**5\/60 - r**4\/4 - 13*r**3\/6 - 35*r**2. Let x be k(8). What is the tens digit of (-248 + 0)*(x - (-56)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -514338, -1028709, -1543080, -2057451?\n\"Answer: -514371*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**3*w**3 - s**3*w**2 - 5848*s**3*w + 4*s**2 - 6*s*w**2 - 3*s - 61*w**3 - 7*w**2 wrt s.\nAnswer: 12*w**3 - 6*w**2 - 35088*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (26 + -27)\/((-12)\/(-72))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490290*y**2 - 201776*y**2 + 119952*y**2.\nAnswer: -572114*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, 505, -6, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 + -5 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(110) - sqrt(110)*-4 - sqrt(110))\/sqrt(10) + 5)*-2.\nAnswer: -10 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-22 - 8)*-109 + -10 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.11*7412522\nAnswer: -815377.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*f**3*r**3 + 8*f**3*r**2 + 152443*f*r**2 - 66850*r**3 wrt r.\nAnswer: -66*f**3 - 401100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1230 and -91\/615.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.435 + 26.515. What is u rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 595 and 5.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 3*n**2 - n + 1. Determine m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 62*d - 242. Let c be f(4). Suppose -104 = -2*n + 3*b - 2*b, 0 = -3*b - c. Suppose 0 = -3*o + 7*o - 120. What is the remainder when n is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -114586 (c) -33 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58.2 + 53.373. Let z = -0.073 + i. Let o = z + 4.90037. Round o to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 7*z**2 - 7*z - 4. Let x be t(-6). Suppose 0 + 8 = x*g. Let i be 1\/(-10) - g\/10. Which is greater: 2\/3 or i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 2*p**2 + 2*p**5 + (-4*p**5 + 2*p**5 - p**5)*(2 + 0 + 0) + (-1305*p**2 + 1716*p**2 - 1167*p**2)*(p**3 + 0*p + 0*p).\nAnswer: -760*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -33. Let f = -4.2 + -30.3. Let k = f + 0.5. Is n greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 6*v - v)*(1 - 1 - 2) + 0*v + 3*v - v + (v - 1 + 1)*(-4 + 4 + 1).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 1, i: 2, b: 1, n: 1, s: 1}. What is prob of picking 1 n, 1 y, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-115170)\/(-264))\/(10\/48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*z**2)*(0 - 3 + 10).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/12874 and -20\/2787221?\nAnswer: 5574442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 135 = 6*j - 7*j. Suppose -5*o + 13 + 8 = 3*l, -3*o + 4*l = -30. Solve 0 = o*t - 17 + j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - a + 1. Let s(u) = 32 - 18 - 5*u + 3*u**2 - 10. Suppose 0 = -2*h - 0*h + 4. Let i(d) = h*q(d) + s(d). Give i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.7692 - -126.14.\nAnswer: 95.3708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33 + 3*s**2 - 12*s**3 + 1143*s**4 - 4*s**2 - 1140*s**4 + 2*s**2 wrt s.\nAnswer: 72*s - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(46 + -168) - (550\/(-85))\/(-5)?\nAnswer: -22\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-972)\/90)\/((-1884)\/7850)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)\/z)\/(z**(-14)*z))**(-47) assuming z is positive.\nAnswer: z**(-329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*i - 25*i + 1114 + 3154 - 414 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -11 - 175*b**2 - 111*b**3 - 132*b - 29*b**4 - 10 - 15 - 3*b**5 + 6*b**3 = 0?\nAnswer: -3, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4241\/2 + 2074. Let f = -4\/305 - 5763\/2440. What is the common denominator of f and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 185 - 15. Are z and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2691)\/(-45) - 1\/(-5). Let k be 1 + (-8)\/q + 64\/30. Suppose -2*j = -k*j + 5. Solve 8 + 7 = j*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 2*n - n)*(-145 - 11*n - 68 - 3*n + 175).\nAnswer: 42*n**2 + 114*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-24 - 0) - -2) + (-1233 - -1239).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86, -91, -110, -149, -214, -311?\n\"Answer: -r**3 - r**2 + 5*r - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 - 3 - -8. Let b = a - 10. Let f = 0 + b. Let x(p) = p**2 + 5*p + 4. What is x(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by -484\nAnswer: -79\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 211197, 422476, 633845, 845304, 1056853?\n\"Answer: 45*x**2 + 211144*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*q - 5 = 0, 2*q - 1 = 1. Suppose v - 6*v = -4*p + 7, 2*v + z = 2*p. What is the units digit of v\/(-18) + (-17)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2640)\/(-1386))\/20*105.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/26 (b) 34 (c) -0.1 (d) 1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b - 86*b - 27384 + 628008. Is 48 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023103310 - 10?\nAnswer: -1023103320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v - 6*v - 5*v - 12*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 719334 and 4428?\nAnswer: 58985388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -18, 163, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000414878192 to seven dps.\nAnswer: -0.0004149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 333, 500?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4508 and 3749851?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b**3 - 2*b**2 - 91*b**3 + 2*b**2 + 22*b**3.\nAnswer: -112*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = 9. Let o = -679 - -682. Sort o, x, 4.\nAnswer: x, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h**2 - 59*h**2 - 3*h**2)*((-6 + 2 + 2)*(0*h + 2*h - 4*h) + 0*h + 0*h - h - h + 0*h + 4*h).\nAnswer: -462*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.68907 years?\nAnswer: 0.00268907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 714 times 5922\nAnswer: 4228308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/13 or -2?\nAnswer: -34\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7874835 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -359 + 281*j + 2564*j - 277*j + 685*j - 3640 wrt j.\nAnswer: 3253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - -4.4. Let m = c - 4.88. Let r = m - 0.12000001. Round r to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*c - 31*c + 88*c - 56*c.\nAnswer: -75*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i**2 - 660*i + 658. Give g(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*h = -161*h + 225*h - 8160 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139 + 139.00000032. Round c to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1722)\/(-24) + ((-17)\/34)\/(38\/(-19)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - -1)*1\/2. Let z(x) be the first derivative of 26*x**2 + 5*x - 34. Is z(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v - 2. Let i(b) = -4*b + 9. Let h(k) = a(k) + i(k). Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 67*t**7\/42 - 77*t**3\/3 + 102*t. What is the second derivative of b(a) wrt a?\nAnswer: 1340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6155*g + 0 - 1 + 4 - 3 + 2.\nAnswer: 6155*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4 + (314874\/72 - -20). Calculate the highest common divisor of 2704 and k.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 + 16*u**3 + 121685*u**2 - 353532*u - 4.\nAnswer: 12*u**2 + 96*u + 243370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 5*k + 2169. Let c be 6\/51 - k\/17. Solve -3 = 5*h + c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 180018 * 0.055.\nAnswer: 9900.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 3 - 4 + 3)*((2 - 5 + 2)*(-3 - 1 + 2) + 16 - 14 + 7).\nAnswer: 11*j**2 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**6 - 10713813*x**5 + 10167*x**2 + 4454.\nAnswer: -480*x**3 - 642828780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*n = 12, -7 + 4 = 4*j + n. Let k be 2\/6 - (-2)\/(-6). Suppose -3*g + j*g + 12 = k. Solve g = -4*a - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -15330.072747?\nAnswer: -15330.272747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54, 46, 36, 24, 10, -6?\n\"Answer: -a**2 - 5*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 3*f + 0*f**2 - 1 - 6*f + f**3. Let c be t(-3). Is -2*c\/(6\/93) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1729*m - 9*m**2 - 3 + 2*m**2 - 1724*m. Let f(v) = v**2 - v + 1. What is -5*f(n) - y(n)?\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2262.67cm?\nAnswer: 22.6267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -618*g + 21613. Determine b(35).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a**2 + 300*a + 13. Calculate the least common multiple of d(37) and 2.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71898, 71725, 71552?\n\"Answer: -173*g + 72071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1169 - -1235. Calculate the lowest common multiple of 88 and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b + 16 + 8*b + 6*b - 19*b to j + w*b and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a + 4. Let w be a\/4 + 7\/4. Is 2 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 56592984?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + (-204)\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 239\/78212 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let u(s) = 17*s + 1. Is u(y) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18013985*f**2*i - i + 1131180 wrt f.\nAnswer: 36027970*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2844847?\nAnswer: 23, 179, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**2. Let n(v) be the second derivative of -8*v + 0*v**2 + 0 - 5\/6*v**3. Give l(n(w)).\nAnswer: -125*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, -362\/445, -0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -12. Suppose 3*c + 30 = -3*w, c + 2*w + 2 + 6 = 0. Let o = c + l. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + d**5 - d**4 + (d + 2*d + d)*(d**4 + 2*d - 2*d) - 13*d + 13*d - 5*d**5 + (-d + d - d)*(2 + d - 2)*(19*d**3 - 36*d**3 + 24*d**3).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.59 + -3.41. Let y = -211.2 + 211. What is the biggest value in y, n, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + (-3 - 21) + 8 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-11 - (-405)\/36)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1839673, 1839532, 1839393, 1839256, 1839121, 1838988, 1838857?\nAnswer: 1838728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 - 7*x**2 + 3*x**3 + 1 + 14*x**2 to m*x**3 + s*x + l*x**2 + o and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/3 - 10\/(-2). Suppose -5*i - 3*k + 4*k + 51 = 0, -n*i + 29 = k. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (2 - (-3 - -7))) + -2 - 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47117 divided by 232\nAnswer: 47117\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 344*l - 490*l + 1898 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*h - 165*h - 552*h**4 - 36*h wrt h?\nAnswer: -6624*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 2932503.\nAnswer: 14662515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 + 10*n - 159. Let i(d) = 5*d**3 + 9*d - 162. Let l(k) = -4*i(k) + 3*w(k). Differentiate l(y) wrt y.\nAnswer: -24*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -1, 53250, -35 in increasing order.\nAnswer: -35, -1, 3, 4, 53250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, -21.\nAnswer: -21, -16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -144 in 4\/5, -1\/7, 0.3, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 784.068 days in hours?\nAnswer: 18817.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87 + 0.01699.\nAnswer: 87.01699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 30 = -3*i, -19 = 2*i + 4*u - 3*u. What is the tens digit of 13 - 9\/(i\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.083028071\nAnswer: -0.0166056142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**10\/529200 + i**9\/105840 + i**8\/70560 - i**5\/30 + 2*i**2. Let m(a) be the third derivative of y(a). Factor m(j).\nAnswer: 2*j**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12050 - -12054. What is the nearest to 6 in c, -5, 0, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/4)\/k*k*(k*k**8*k)\/k*k**(1\/8)\/k**(-5) assuming k is positive.\nAnswer: k**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 14*o - 10*o = -6, 0 = 4*i - 5*o + 33. Suppose 5*c - 3*t = c - 8, 3*t = -3*c - 27. Let a = 7 + c. Put i, a, -0.1 in ascending order.\nAnswer: i, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 163*r - 54. Let d(k) = 30*k - 11. Calculate 11*d(z) - 2*v(z).\nAnswer: 4*z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) - (-407998)\/4. What is b rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r\/r**(-1\/4))\/(r**7\/r**(2\/21)) assuming r is positive.\nAnswer: r**(-1369\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xywyoyiyy. Give prob of sequence yio.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -526*s - 19984. Give a(-38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/f**(-19)*f)\/f)\/(f\/(f\/f**12)) assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-3)*t*(t*t\/t**(-11)*t)\/t)\/(t**(-1))**(-44) assuming t is positive.\nAnswer: t**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 - 4*y**4 - 3*y**5 + 2*y**5 - y**5 + y**5 + (-38*y**2 - 17*y**3 + 38*y**2)*(2*y**2 - 2*y**2 - 2*y**2).\nAnswer: 33*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 542, 2239, 5076, 9059, 14194, 20487?\n\"Answer: h**3 + 564*h**2 - 2*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884052 is divided by 2679?\nAnswer: 2661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - -576. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 23\/(-60) - (23 + 14227\/(-615))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 862778 divided by 61627?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2014 - 107*w**2 + 100*w**2 + 1074 - 3088.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, -9, -5.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 197, 2\/7, -7\/18, -2\/11?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/4 - (-15 - -11). Put -1\/6, -2\/3, h in descending order.\nAnswer: h, -1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726 = -y - 4*w, y - w = 2*y + 726. Is ((-7)\/(-21))\/((-2)\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -14*m + 1. Let o(x) = 80*x - 25. Give -o(k) - 12*q(k).\nAnswer: 88*k + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 607578.\nAnswer: 1\/607578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 36. Suppose -p = -z + 2. Suppose -3*c + 4 = 2*a, -5*c = -0*c + z*a - 6. Sort -3, c, -4 in ascending order.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z - 27*z - 5 + 5.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = 0, 3*h = -5*g + 2*g + 21. Suppose 28 = -4*z - 0*z + 2*y, 0 = -4*z - 2*y - 36. Let v = 12 + z. What is the remainder when g is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -512*p*x - 593*x wrt p?\nAnswer: -512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*o**3*p**3 + 29*o**3*p + 4*o**2*p**2 + o*p**2 - 3*p**5 wrt p?\nAnswer: -102*o**3 - 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4085 in 2\/3, 7\/1214, -2, 0.08, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-42)*(-45)\/25*(-5)\/(-6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796204.9 months in millennia?\nAnswer: 233.017075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((1 - 1)\/2)\/(-2). Let m(u) = u**2 + 6*u - 3. Let h be m(-7). Find the second derivative of h*s - 5*s**4 + 0*s**4 + q*s wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 531?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3276 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/2411 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76208406 to the nearest integer?\nAnswer: 8730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + 12\/7. Suppose 0 = s*g + 3*g - 55. Let y(d) = d**2 - 11*d + 1. What is the units digit of y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6369*j + 1655936. Calculate x(260).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 13*r**7\/5040 - 13*r**5\/60 - 12*r**2. Let y(c) be the third derivative of a(c). Let h(i) = 2*i. What is y(h(z))?\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5755 + 434. Suppose 6936 + i = 7*j. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*u + 7*u - 20, 2*u = -5*m - 66. Let k(z) = z**2 + 14*z + 1. Let y be k(m). What is the greatest common factor of 11 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)*-5)\/(sqrt(288)*-3)*-1.\nAnswer: -25*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + 0*x)*(-2*x + 0*x - x) - x**2 + 0*x**2 + 0*x**2 + (2 - 2*x**2 - 2)*(-2 + 2 + 1) + (2 - 3 + 3)*(-32*x**2 - 30*x**2 + 11*x**2) + 5 - 5 + 8*x**2.\nAnswer: -103*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 2085?\nAnswer: 6255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -453*w**4\/4 - 88*w - 484. Find the first derivative of o(k) wrt k.\nAnswer: -1359*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(3*f**2 + f**2 - f**2) + 0*f**2 + 7 - f**2 + 3*f**2 + 2*f**2 - f**2 - 3*f**2 + (0*f + 0*f + 2*f)*(3*f + 2*f - 3*f).\nAnswer: f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-1)\/33*3). Calculate the highest common divisor of c and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - x - 35. Let b = x - 0. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60 + 80 + 45*c**2 - 141 - 5*c + (-2*c + 0*c + 3*c)*(3*c - 2*c + 0*c).\nAnswer: 46*c**2 - 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/2147 and -131\/6.\nAnswer: 12882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**4 - 6*g**2 + 7. Let o(x) = -19*x**4 + 13*x**2 - 15. Suppose -3 - 3 = -a. Let y(j) = a*o(j) + 13*h(j). Differentiate y(b) with respect to b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**4 - 5415*s**3 - 2*s**2 - 5*s - 18134 wrt s.\nAnswer: 48*s**2 - 32490*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/49*(-49)\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 2. Let y be x(3). Let r = -1 - y. Calculate the least common multiple of 8 and 122\/r - 3\/9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1718.46 take away -0.018011?\nAnswer: -1718.441989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 392*i. Let u(t) = 2*t**2 - 29. What is j(u(h))?\nAnswer: 784*h**2 - 11368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 40*s - 7. Solve 5*i = 4*l - 7, -3*i - s*l + 11 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100432953?\nAnswer: 3, 1239913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + u = 8, -4*u = -0*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(13) - (sqrt(26)\/sqrt(2) + sqrt(13))) + 3*sqrt(325) + -3 + (sqrt(13)*-4*1 - 2*sqrt(117)\/sqrt(9)))**2.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p + 0*p)*(-3*p + 49*p - 3*p)*(14 - 3*p - 14).\nAnswer: -258*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.9 + 20. Let l = o + 26.9. Let i = l + -27.0022. Round i to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l + 11. Let j(u) = 5*u**2 + 16*u + 16. Let d be j(-1). Let h(s) be the second derivative of 5*s**3\/3 + 8*s**2 + s. What is d*h(o) - 7*t(o)?\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*d**4 - 2487*d*x + 65*d - 10345011*x wrt d.\nAnswer: -24*d**3 - 2487*x + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -414 - -419. What is the second biggest value in 2, p, -2\/7, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12078, 48230, 108476, 192810, 301226, 433718, 590280, 770906?\n\"Answer: -i**3 + 12053*i**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -2*n - 4*k, 0 = 3*n + k + 26 - 38 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 413636*b**2*k - 2*b*k + 138027*b - k wrt b.\nAnswer: 827272*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*24\/16. Let m be (-1)\/3 - 1\/(-3). Let t = -8\/29 + 127\/145. What is the nearest to c in -2\/11, m, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*z + 2725 = 0, l - 224 - 301 = -3*z. Let y be (-484)\/(-30) - 72\/l. Sort -2, 7, y in descending order.\nAnswer: y, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -33. Let b be 12 + -6 + s*-1. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x + 4. Let f(k) = -k**2 - 9*k - 17. Let s be f(-5). Let j be 210\/(-56) - s\/(-4). What are the prime factors of v(j)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -98.39. Let n = 25.61 - k. Let q = -25.3 + n. What is q rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 1, 0*w = -2*w - h + 5. What is the derivative of -4 + w - 6 + 3*r - 3 wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 79 = 7*n + 2*j, -3*n - j + 77 = 0. Let x(p) = n*p - 76*p + 24*p + 22*p + 1 + p**2. What is x(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = c - 5*f - 17, -5*c - 5 = -4*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*o - 72*o + 36*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 4 - b)*(-5 + 1 + 3) + 6*b + 10 - 10 - 2 + 2 - b)*(b - 3*b + 4*b) to the form t*b + l*b**2 + r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g. Let n(o) be the second derivative of o**4\/3 + o + 50. Give n(y(b)).\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 25*p - 221. Calculate c(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 2. Suppose 3*i - 2*i + 3 = -t, i + 9 = 5*t. Give y(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 154*u**2 + 40*u**3 + 119*u**3 + 251*u**2 - 23*u**3 - 117*u**2.\nAnswer: -4*u**2*(u - 36)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-164)\/(-410) - 2572\/5)\/(-2) is divided by 85.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -1. Suppose 3*j = -2*g + 15, 4*g - j + 3*j = 18. Let s be 1\/(((-9)\/r)\/g). Solve -4*y = -5*f - 36, 4*f - s*y + 6*y = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 5*y + 7, -572 = 5*t + 2*y - 559 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phhl when four letters picked without replacement from {p: 3, v: 1, h: 2, c: 7, n: 3, l: 1}.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -58, -87?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(2*r + r - 2*r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/119 + (-3)\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 83917775*l**2 + 1846189235*l + 10154037465.\nAnswer: 5*(l + 11)**2*(l + 16783533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*i = -4*i - 118, k + 5*i = -44. Let h be (k\/6)\/((-6)\/(-12)). Let q be (1\/3)\/(4\/12). Are h and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -7674805?\nAnswer: 7674806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 + 44*s**3 - 43*s**3 + s - 3*s**2 + 0*s**2. Calculate r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8)*88\/33*-2*2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -6 (c) -0.5 (d) 1\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 355551 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 + -140. Let k(h) = 4*h**3 + h**2 + 2*h + 1. Let l be k(-1). Let a = 103 - 97. Sort l, a, d.\nAnswer: l, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnznsnmmsssssssmzz. Give prob of sequence sm.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -101744, -101745, -101746, -101747?\n\"Answer: -w - 101743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 236367.8 grams?\nAnswer: 236367800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10 - 6*n + 5*n + 5*n + 2*n. Let l be y(2). Let h(j) = 3*j + l*j - 5*j + 2*j. Let t(x) = -4*x. What is h(t(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768234?\nAnswer: 2, 3, 61, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*k + 9006 = -295*k + 246*k + 948 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39644537 less than 3145253?\nAnswer: -36499284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.02, 6, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 + (-16)\/4)\/(4 + 18\/(-12)). Sort 2, -4, y, -94 in ascending order.\nAnswer: -94, -4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(504) - 3*sqrt(504))\/((sqrt(2) - sqrt(32))*-4))**2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4922108, -9844229, -14766350, -19688471, -24610592?\nAnswer: -29532713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 + 90. Suppose 0 = 5*m - 2*f - x, 2*f - 13 = -m + 9. Solve 0 = -5*i - 5*d - 52 + 7, -4*i = 3*d + m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000131 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8501 - 8499. Which is the second biggest value? (a) 0.69 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, v: 1, m: 2, w: 2, t: 2}. Give prob of sequence wwmt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 16*h**2 - 34*h - 4. Let l(a) = -3*a + 9. Let b be l(4). Calculate the remainder when p(-14) is divided by (-92)\/b + 6\/(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.82 - 3.76. Let f = 0.06 - b. What is the second biggest value in 1\/2, -5, f, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 70*n = 31*n - 190. What is the greatest common divisor of 538 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(19) + 0) + sqrt(228)\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.04 + -13.04. Which is the third biggest value? (a) 1\/2 (b) 55 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3895, -2715, -1535, -355, 825?\nAnswer: 2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-5 - (-17 + 18 + -8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14858, -26927, -38996, -51065, -63134?\n\"Answer: -12069*x - 2789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34468 + 12235 - 1058 = 2685*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 > -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 5*w - 2*w + (-4 + 0 + 2)*(-4*w + w + 2*w))*(53 - 53 + 4*w) + (-5*w - 7*w + 4*w)*(-6*w - 4*w - w).\nAnswer: 92*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 30*q**2 - 164*q + 91. Let y be n(23). Solve 10*l = -y*l - 32 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -150 + 116 - w - 17*w. List the prime factors of a(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 1 - 1 + (-2 - 2 + 3)*(3 - 3 - m) - 43*m - 3312 + 3312.\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 1. Let p = 0.1 + u. Let b = 0.3 - p. Put 0.1, -5, b in increasing order.\nAnswer: -5, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1728))\/(6*sqrt(196)).\nAnswer: 8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 0 = 5*s. Suppose w = s*w. Suppose -1 = 5*r + 4. Which is greater: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*s + 706 - 166. Calculate the remainder when 74 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -0*c - 6*c. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.12 (b) -5 (c) -85 (d) 5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152397?\nAnswer: 3, 7, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 32*t**3 + t**2 + 6*t - 17. Let u be p(3). What is the greatest common factor of 483 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + o**2 + o + 144. Let q be c(0). Suppose 2*r + 34 = -3*f, 51 + 34 = -3*r + 4*f. Let y = r - -39. What is the highest common factor of y and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30564 (base 9) to base 6.\nAnswer: -233134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjiihkajd. What is prob of sequence jdhj?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3842364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 348.045 * 0.03.\nAnswer: 10.44135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/168 - o**6\/144 - 7*o**5\/120 - o**4\/6 + 7*o**2. Let h(u) be the second derivative of f(u). Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061066998 to 6 decimal places.\nAnswer: -0.000611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*s**2 - 4*s**3 - 13*s**2)*(-3*s**2 + 3 - 3).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((618\/(-111652))\/((-33)\/(-4))). Calculate the highest common divisor of a and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 4*x + 1. Let u be k(-3). Suppose 2*m + 0 = u. Suppose 4*z - m*z - 28 = 0. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + 1 + sqrt(500) + 6*(sqrt(135)\/sqrt(3) + sqrt(45))*-4)**2.\nAnswer: -2412*sqrt(5) + 89861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 + -3.1. Let c = g + 47.6. What is c rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 390 + -673. Let z = -36754882 + 36754599.00147. Let a = s - z. Round a to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 + 2*z**3 + 3*z**3 + 4*z**3 + 2*z**3 + 6*z**3 + (0*z**2 + 0*z**2 + 2*z**2)*(-3*z + z - 20*z) in the form n*z**3 + a*z**2 + s*z + v and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4870 = 112*x - 115*x + 5318. Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((280\/(-180))\/7)\/(1\/(-6))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*t - 2312 = -72392. Solve -588*v + t*v = -20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8248 is divided by 162?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 12*v**2\/5 - 9*v - 12\/5 = 0.\nAnswer: -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + -2 + 2*sqrt(700) + (((sqrt(392)*-1)\/sqrt(7))\/sqrt(8))**2.\nAnswer: 5 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3946 - 23593\/6. Let h = -808\/3 + 836\/3. Find the common denominator of h and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 9*s**2 - 8*s - 3. Calculate the remainder when u(10) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 141 + -30 + 5 + (-3 - 0). Solve -z + 175 = -31*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsx when three letters picked without replacement from ssxxxsxx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*63*63*66\/12474.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/15 - -10\/3. Which is the closest to 0? (a) -2\/7 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -529, -1137, -1989, -3085, -4425?\nAnswer: -6009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*a + 61*a + 748*a**2.\nAnswer: 748*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2280 and 6612?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.22 and -687?\nAnswer: 687.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 912*d + 14877. Give a(928).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(2\/12*-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62, -464, -1136, -2078, -3290, -4772?\n\"Answer: -135*l**2 + 3*l + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(242) + -3) - (2*sqrt(1800) + 6*(sqrt(50) - sqrt(50)*-2)))**2 + 1.\nAnswer: 4032*sqrt(2) + 14689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.36219 less than -22818?\nAnswer: -22818.36219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3426, 3869, 4312, 4755, 5198, 5641?\n\"Answer: 443*w + 2983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61040*y = 61041*y - 5*n - 36, 2*y = -4*n - 26 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwmwpwmlwmljlwj. Give prob of sequence pjwl.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 273 divided by 91\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -18654, 3 in decreasing order.\nAnswer: 28, 3, -18654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -496 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-48)*(-8)\/(-15)*5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4789*l - 172366. Determine g(-36).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 14. Suppose -3*g + w = -35. Calculate the highest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -75.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 n when three letters picked without replacement from {n: 4, f: 5, z: 2}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88133, -88088, -88013, -87908?\nAnswer: -87773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212492682 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 273787 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 - 2*m - 1. Let o(v) = -1548*v**2 + 794*v - 5. Let n(l) = -5*j(l) + o(l). Find the second derivative of n(x) wrt x.\nAnswer: -3046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 15) in base 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/5*((-39)\/(-9) + -11). Solve 24 = -r*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, 1 h, and 1 z when four letters picked without replacement from hazaajazhjzwhhzaa?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**5 - 1412995*g**4 + 133094708070*g**3 - 4177753876723140*g**2 - 79418989416198600*g - 200653589686515840 = 0.\nAnswer: -16, -3, 94206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 10*u**2 + 3. Let v be g(-10). Suppose 0*b = 3*b + s - 30, 3*b + v*s = 30. Suppose 2 = -c + b. Solve -c*p + 25 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + 3.99. Let w = 0.019 + 0.021. Let v = -2.96 - w. Which is the second biggest value? (a) v (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 13*r + 16. Let p(d) = 4*d + 5. What is -21*p(z) + 6*v(z)?\nAnswer: -6*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26330037.\nAnswer: 3, 283, 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2283 + 2283. Let v = 0.8 - 0.3. Which is the second biggest value? (a) v (b) -16 (c) -2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-3)*3\/(-2). Let c(d) = d**3 + 12*d**2 + 41*d + 17. Let u be c(-9). Let x = 111 + u. What is the third biggest value in 0, x, -1\/5, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 136, 307, 546, 853?\nAnswer: 1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**3 + 19 + 182 + 4*n - 49 + 223 + n wrt n.\nAnswer: -3*n**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12872, 13021, 13214, 13451, 13732?\n\"Answer: 22*h**2 + 83*h + 12767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o\/(o\/(o\/(o\/(o*o**(-1\/4)*o)))))\/o)\/o*o)**35)**(10\/9)*((o**(-2\/3))**14)**(-37) assuming o is positive.\nAnswer: o**(7441\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 27 = -j. Let m be 1\/((-6)\/j)*(-2)\/12. Let g be ((-2)\/(-10))\/(0 + 1). Which is the closest to -1? (a) m (b) g (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*c**3 - 19*c**3 - 3*c**4 - 18*c**3 + 43*c**3.\nAnswer: -3*c**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7e5b24 (base 15) to base 2\nAnswer: -10111000011100001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + f, -5*f = 5*c. Let p be (c + -2)\/(-2) - -9. Find the common denominator of 23\/11 and (41\/p)\/((-4)\/(-8)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 24 = a. Solve k = 4 - a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253707, -507386, -761069, -1014756, -1268447, -1522142?\nAnswer: -1775841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 2\/21*m**7 + 1\/3*m**3 + 0*m**2 + 4\/15*m**6 - 270*m + 0 - 5\/12*m**4 - 3\/20*m**5. Factor n(a).\nAnswer: a*(a + 1)*(a + 2)*(2*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -60*o**2 - 797*o + 11. What is x(-14)?\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -420 - -817\/2. Let w = -12067\/9 + 1338. What is the common denominator of r and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + 0 - (2 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61793593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21880*k + 22118*k - 4284 = 0 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/6 + m**2\/2 + m. Suppose -v - 4*u - 3 = 0, -3 = -6*v + v - 2*u. Let n(x) = 12*x + 15. Give v*n(k) - 15*y(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (4 + -3) - (-1 - 36). Suppose -n*c + 32*c = -186. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(180)\/(-5*sqrt(15)\/sqrt(3) - sqrt(5)))\/(-5*-1*sqrt(12)*4).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - 9*o**2 - 17*o + 4. Calculate i(9).\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67916 divided by 3?\nAnswer: 67916\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2 + -13 + 22. Suppose 0 = -15*u + l*u - 12. What is the units digit of ((-26)\/u)\/(1\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 128 + 328. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*j = 38, 6*l + 18469 = -4*j + 18523 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100120 + -112220102121?\nAnswer: -112220002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -201013?\nAnswer: 201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/19 - -12\/247. Let v = 4 + -3. What is the closest to v in -2, k, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 19*m + 344. Determine t(-20).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3\/4 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 w when three letters picked without replacement from {q: 2, i: 1, b: 1, z: 2, o: 1, w: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/83 - -75\/332. Put a, -1\/3, 47, 0.1, 3\/5 in decreasing order.\nAnswer: 47, 3\/5, a, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) -1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -3 (c) -447 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86655 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/9 and 12\/(-520)*178\/6.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - 3070\/(-50))\/(-2 + 72\/(-15))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2208*y - 238457. Give a(-108).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a - 28*a + 128701*a**2 - 64347*a**2 - 64349*a**2 + 11*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j. Suppose j*z + 5*z + 4*l = 37, 0 = -z - 4*l + 17. Suppose 4 = -3*c + z*c. Solve -c*s - 1 = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - y**2 + 2*y - 1. Let m be n(1). Let t = -8 + 5. Sort m, t, 0 in ascending order.\nAnswer: m, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 0*l**2 + 250*l**3 - 247*l**3 + 26*l.\nAnswer: 3*l**3 + 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3889\/2 - 1991. Let c be (-1 - (-2378)\/(-24)) + -2. Let u = 679\/6 + c. Find the common denominator of u and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -442.454454 and -10.\nAnswer: -452.454454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 90479361.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.043758us in nanoseconds?\nAnswer: 7043.758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1020\/7, 5, 2, -24, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54.7 - -49.49. Let t = d + 0.21. Suppose o - 4*o - 3 = 0. Which is the second biggest value? (a) -1\/2 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79299 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*w - 2602 + 1046 = 1006 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 5596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(7\/8)*x**(-6))\/(((x*x**(1\/38))\/x)\/x**(5\/2)) assuming x is positive.\nAnswer: x**(-517\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2079*n**2 - 31*n + 39. Let c(o) = 693*o**2 + 10*o - 13. Let l(i) = -7*c(i) - 2*m(i). Let s be l(-13). What is s rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6514797 to 2 decimal places.\nAnswer: -4.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 674004 + -11?\nAnswer: 673773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n + 10. Let f be (0 - 200)*2\/n. What is the highest common factor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3395 + 3410. What is the closest to -1 in -7, -8, q?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 4, m: 2, b: 2, y: 1}. Give prob of sequence ry.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (1 + sqrt(11) + -3) - -1*sqrt(44).\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95714 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-9 - 7 + 6)*(-4*j - j**3 + 4*j)*(7*j - 2*j - 3*j).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = 4*j - 55, j - 25 = 4*x. What is the remainder when 62 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)\/s*s**(2\/5))\/(s**(3\/5)*s*s*s*s\/s**(-1)))\/((s**0)**(-2\/81)\/(s\/((s*(s*s\/s**(-3\/7))\/s)\/s*s)*s**(-2\/5))) assuming s is positive.\nAnswer: s**(-456\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 706 + -889 + (-2 - -23).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -7 + (-66 - -67) - -5) + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v - 5. What is l(7)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 + -10 + 2 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67072055709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w + 3652. Let z = 9378 + w. Let d = z - 2352. Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 e when three letters picked without replacement from zuuiuzdiezzzzzuu.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i - 29*i - 27*i - 31*i + 106*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/80)\/((-1)\/(-4)*(-2)\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 = 11. Suppose 3*a + 3 = 0, p + 4*a - 224 = -x*p. Suppose -y = -4*y + p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, l: 1, j: 5, q: 2, k: 1, z: 2}. Give prob of picking 1 j and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.21 + -15.21. Let y = -36 - -33. Which is the second biggest value? (a) y (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 1098 = 61*o. Solve 3*f + 14 = -d, -17*f + 4 = -o*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 465, 703, 945?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8805716 is divided by 733809.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0090465 to 4 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.333 + -0.277. Let v = h - 1.39. Which is the third smallest value? (a) -8 (b) v (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 9 = 5*s. Let q(g) = g + 1. Let l be q(s). Factor -o**5 - 4*o**4 - o**4 + 3*o**l + o**4.\nAnswer: -o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d. Let a(v) = -2*v + 5. What is g(a(n))?\nAnswer: 14*n - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6204.1491 * -5\nAnswer: -31020.7455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 7:24 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-220)\/33)*(-4)\/(-39).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -648 by 1.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-45)*33 + 525\/45 + -12?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -541642909073 and -9.\nAnswer: -541642909082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-2)\/(-2))\/4)\/((-1)\/(-8)). Let a(z) be the first derivative of 2\/3*z**3 - 3*z + 0*z**2 + c. What is the derivative of a(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30*-37\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 20 + 0)*(-2 + 0*c - 3*c - c).\nAnswer: 100*c + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 410 - 359. Which is the smallest value? (a) 1\/3 (b) h (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438380, 438333, 438272, 438191, 438084, 437945?\nAnswer: 437768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 40 - 40 - 3*i. Let a(o) be the second derivative of 0*o**2 + o + 0*o**3 + 0 - 1\/6*o**4. What is x(a(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(684) + sqrt(684)*-1*2 + -2)**2).\nAnswer: -2756 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + h - 4)*(-5 + h**2 + 5) + (2*h + h - h)*(-9*h**2 + 35*h**2 - 7*h**2).\nAnswer: 39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*s - 3 + 7 = 0, 4*k - 2*s - 8 = 0. Suppose g + k - 5 = 0. Let w(q) = 5*q**3 - q**2 + q. Let x be w(1). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*-1*(3*sqrt(1452) + -2 - sqrt(1452)))**2 + 1.\nAnswer: -6336*sqrt(3) + 209233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -4 (c) 588\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 - 1947346*f**3 - 6970481*f**2?\nAnswer: -60*f**2 - 11684076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76003 + p - 76003.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2121 and 475811.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 22. Let u be (4\/1 - 0)\/(-7). Which is the second smallest value? (a) -2 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)\/a)\/a)**46*a**(-2\/7)*a*a*a**(1\/3) assuming a is positive.\nAnswer: a**(-2372\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15260, -122758, -414710, -983342, -1920880, -3319550, -5271578?\nAnswer: -7869190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-15)\/20). Let g be (1 + -9)\/4 + v. Which is smaller: -1\/32 or g?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 7 - (-374)\/4*1. Is l at most 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + u + 3. Suppose -r + 11 - 2 = 0. Let a(k) = -8*k**2 - 5*k - 13. Calculate r*o(h) + 2*a(h).\nAnswer: 2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1004395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -343 + 345. Solve 2 = -4*s - f*l, 3*l - 2 = -2*s + 5*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 + 4*j - 2. Suppose -5*z = -0*z - 15. Let f be c(z). Let h be (-2)\/7 - f\/49. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, -3, -0.4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 5*a = -11*q - 430, -5*q = 2*a - 1104. What is the lowest common multiple of q and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85778764934 + n - 85778764934.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356257, 356255, 356253, 356251?\nAnswer: 356249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-84)*32*3\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*m = -2, -5*m + 278 = 3*l + 274 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60.98 - 61. Let c = 14 + -63. Let m = -44 - c. What is the second biggest value in -3, a, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + g = -12 + 9, 0 = -2*r - 5*g - 15. Let f(z) be the third derivative of 0 + 1\/60*z**5 + r*z**3 + 0*z**4 + 17*z**2 + 0*z - 1\/120*z**6. Factor f(k).\nAnswer: -k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**2. Let z(f) = -3*f**2 + 12*f**2 - 17*f**2. Calculate z(o(m)).\nAnswer: -288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 2 + u - u. Let t be r(3). Let c(m) = -m + 10. Determine c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/60 + 3*r**4\/8 + 3*r**3\/2 - 22*r**2 + 2. Give y(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 6 + -9 + 2 + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 192900 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from aaaxjjajjaxaqaa?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98076 and 114998568?\nAnswer: 8916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*w - 442*w**2 + 8*w**4 + 442*w**2 wrt w?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:01 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/48)\/(6\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 902152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9043 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 - 8075*j = 0. What is j?\nAnswer: 0, 1615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 p when three letters picked without replacement from {d: 2, p: 2, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 + 8*l**2 + 554*l**3 + 61*l**3 + 3*l**2.\nAnswer: 615*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -16*q**2 + 2. Let n be o(0). Suppose -15*p - 118 = n. Let c(u) = 3*u + 4. Let i(x) = -9*x - 11. Give p*c(g) - 3*i(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194271, -776424, -1746677, -3105030, -4851483?\nAnswer: -6986036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93\/1861 in 1, -0.2, 0.3, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {k: 1, j: 2, o: 1, l: 6, f: 3, d: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14266 - -14270. Solve t + 3*o - y = 0, 12*t = 10*t - 2*o - 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-203)\/112*4 - 7\/4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8207 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14276*r**3 - 10*r**2 + 12*r - 14. Let k be i(-11). What is k rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 2*u - 1. Let r(x) = -17*x**2 + 3*x + 4. What is -4*b(g) - r(g)?\nAnswer: 9*g**2 - 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Solve 8 = 2*d, 0 = -4*j + d - s - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -62 - 28. Calculate the smallest common multiple of f and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -77978, -1\/8, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8331912 litres in millilitres?\nAnswer: 833.1912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1239 - 242 = -91*p + 48*p - 809 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:46 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, f: 4, v: 1, m: 1, q: 3}. What is prob of picking 3 f?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 1\/4 (b) 16.8 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**17\/(((i*i\/(i\/(((i\/i**(-6))\/i)\/i*i)))\/i)\/i) assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 335610 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 - 5*x + 8. Let b(z) = 4*z**2 - 6*z + 9. Give -5*b(g) + 6*s(g).\nAnswer: -2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 3*c = 246. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 12. Let y be x(6). Suppose v = 3*v - y. Suppose u - 20 = v*n + 4, 0 = -4*n - 20. Calculate the highest common factor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000046536 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 20*n + 53. What is x(16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*u**5 + 198*u**5 + 192*u**5 + 3*u**4 + 4*u**5 - u**5 - 4*u**5 + (u**2 + 0*u**2 - 2*u**2)*(3*u**3 - u**3 - u**3).\nAnswer: 291*u**5 + 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2151576855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/48)\/(-14*2\/(-12)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 7*x**2 + 3*x**2 + (2 + 9 + 3)*(2*x**2 + 2*x**2 - 6*x**2).\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22079 divided by -2.\nAnswer: -22079\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3960*q + 322*q + 5622*q.\nAnswer: 9904*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 15.0798ug?\nAnswer: 0.0000000000150798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 4 = -11*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -254 + 259. What is the fourth biggest value in -0.4, 2, x, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 4*k**2 + 4*k - 10. Let b be o(4). Suppose -m + b*m = 63000000. What is m rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 879431.\nAnswer: 5\/879431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.7846 times 15\nAnswer: 11.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:45 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.36 - 1.360158. Round v to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*46569.\nAnswer: -18627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**4 + l**2 - 1. Let u(r) = 6*r**4 + 218*r**3 + 4*r**2 - 412. Let a(x) = -4*s(x) + u(x). Find the first derivative of a(h) wrt h.\nAnswer: 8*h**3 + 654*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4*g*g**(1\/14))**(-3\/32)\/((g\/g**(-2\/9)*g*g**(-4)*g*g)\/((g\/g**(-4)*g*g)\/(g**(3\/8)\/g))) assuming g is positive.\nAnswer: g**(27553\/4032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858 - 818 + 2*t**2 + 1676.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(105)*-3)\/sqrt(7))\/(sqrt(50)\/(sqrt(50)\/sqrt(5)*1)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, -112, -325, -620, -997, -1456, -1997?\nAnswer: -2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 - -2544\nAnswer: 2543.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74755\/7 + -10679. Sort -0.05, 7\/5, s, 4, -2\/19.\nAnswer: -2\/19, -0.05, s, 7\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**3\/3 + 3*s**2 - s + 8. Let c be (-3 - -3)\/(-1 - 0). Suppose c = 5*x + 6 + 19. Determine d(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(35)\/sqrt(28)))**2 - (-1 + 4*(0 + sqrt(7))).\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 3, 533, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14034?\nAnswer: 2, 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + (44 + -39 - 13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 661764 and 132.\nAnswer: 7279404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.796112 microseconds in nanoseconds?\nAnswer: 5796.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**5 + 2*l**4 - l. Let b(r) = -21*r**5 + 8*r**4 - 18*r**2 + 4*r. Let a(s) = -b(s) + 6*p(s). Find the third derivative of a(x) wrt x.\nAnswer: 900*x**2 + 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + o. Let c(m) = 9*m**2 - 27*m. Let k be 1\/(1 + 140\/(-144)). Let s(h) = k*f(h) + 3*c(h). What is the second derivative of s(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1071, 20, -37?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/25)\/(2\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 3*l + 2. What is w(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 - 14*o. Let b be v(-5). Let g = 124 - b. What is the lowest common multiple of 1 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezoowzoozzzwzzz. What is prob of picking 2 z?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 116 + 5*k - 5*k + 4*k - 3*k - 3*k as x + s*k and give x.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11*p**2 - 8*p + 163. Let o(d) = 5*d**2 + 3*d - 81. Let z(u) = 2*f(u) + 5*o(u). What is the hundreds digit of z(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3)*x\/((x**(-2\/7)*x)\/x*x)*x*x**(1\/5)\/(x\/(x\/(x**(-2\/9)\/x))))**(-12) assuming x is positive.\nAnswer: x**(-892\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 10*l. Let w(q) = 3*q**2 - 11*q. Let d(p) = -5*u(p) + 4*w(p). Let x be d(-4). Put 0, -3, x in descending order.\nAnswer: x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*p. Suppose -5*g = 2*z - 369 + 22, p = -5*g + z + 359. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9 not equal to 2\/1657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 + 829*v + 20472 = 0. What is v?\nAnswer: -24, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s. Let d be z(-5). Suppose d - 10 = 4*c. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7586\/3*j - 7592*j**2 - 632\/3 - 24*j**3.\nAnswer: -2*(j + 316)*(6*j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*t - 253. Let o = t - 29. Solve 0 = -4*r - 4 + o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)\/(c**5*c))\/(c**(-1\/2))**(-1\/70) assuming c is positive.\nAnswer: c**(-184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-666)\/(-96) + (-77)\/11.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z**(3\/7)\/z*z))*z)\/z)**(-8\/7))**(-4\/3))**(-11) assuming z is positive.\nAnswer: z**(-352\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/40 and 103\/23316?\nAnswer: 233160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 154457\/(-2056) - 7\/8. Let k be (-1 - (-1 - 140)) + 1. Let j = x + k. 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: Total of -21 and 3.25662.\nAnswer: -17.74338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2, 6, -1.64 in increasing order.\nAnswer: -1.64, -1\/4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u + 133. Let r be m(-21). Solve 2*l = r*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285 + 152 + 21*o + 122 - o**2)*(0*o + 0*o - o).\nAnswer: o**3 - 21*o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - v + 1. Let h(c) = 4*c**2 - c + 6. Calculate -6*g(y) + h(y).\nAnswer: -2*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -789 or -8689\/11?\nAnswer: -8689\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**4\/8 + p**2. Let r be 752011\/3 + 28\/42. Let o(y) = -r + 250671 + y + 3*y. Give m(o(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56375801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*l + 2, 4 = 4*d - l - 9. Solve 2*i - 13 = -d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4006141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 72917?\nAnswer: -72917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 62*c + 494. Let f be s(-7). Solve f*i = 13*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2393*k + 2390*k + 9. Let f(n) = 2*n**2 - 5*n. Let y(d) = -d**2 + 3*d. Let b be 7 - 1 - -1 - 2. Determine b*y(g) + k*f(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5) + 16\/(-5). Let b(c) = c**3 - 28*c**2 - 71*c + 38. Let p be b(28). List the prime factors of p\/(-18) - (-4)\/h.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -18*p. Let w(q) = -q. Let x(i) = 4*i. Let r(j) = 8*w(j) + 3*x(j). Determine l(r(n)).\nAnswer: -72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1912 divided by 2\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1200146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 1. Let t(j) = 4*j - 1. Suppose 0 = 3*m - 2*m + 5. Let l(a) = m*n(a) + 4*t(a). What is l(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1609, -2, 6, 0, 1, 15 in ascending order.\nAnswer: -2, -1, 0, 1, 6, 15, 1609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 945*p + 162. List the prime factors of a(5).\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/5 (c) -1\/9 (d) 45 (e) -613 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 24*a**2 - 54*a - 206. Let t be f(21). Suppose -3*v = v + 44. Let u = v - t. Solve -u*c = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -209598.4\nAnswer: 419196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -305*g**9\/168 - 17*g**5\/60 + 7*g**3\/2 - 13*g**2 - 6*g. What is the third derivative of f(r) wrt r?\nAnswer: -109800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4, 3*y - 29 - 17 = -5*p. Let i be (-1 - 0)\/(-5) - p\/40. Suppose i = -o - 6*o + 406. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, -5, 3, -2 in increasing order.\nAnswer: -172, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1165.0539 + -1165. Let o = -63.1461 - p. What is o rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 149*s - 748. Give c(152).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -197, -3, -21, 6.\nAnswer: -197, -21, -5, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 2*x - 3685*x**2 + 3683*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 380*w**2 - 5845*w + 13250.\nAnswer: -5*(w - 2)*(w + 25)*(w + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m - 24*m + 79*m - 3*m**3 - 25*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1932, 7808, 17600, 31308, 48932?\n\"Answer: 1958*x**2 + 2*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*a - a + 11*a - 5*y + 15, 0 = -5*a - 3*y + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/9176)\/((-1)\/(-24)).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.93? (a) 3 (b) 1\/11 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 346 - 344. Let r = 2.4 - -0.6. What is the nearest to d in -0.4, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -14.38941, -2\/3.\nAnswer: -14.38941, -2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*x + 38, 2*u + 67*x = 66*x + 17 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 - 4*j**2 + 4*j**2 + (13*j - 4*j + 6*j + (-2*j + 8*j - 2*j)*(-1 - 1 + 4))*(0 - 2 - 3)*(-j + 0 + 0).\nAnswer: 110*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 12. Let v(i) be the second derivative of -i**3\/6 - 18*i. What is q(v(d))?\nAnswer: -2*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(5 + 2*sqrt(243)).\nAnswer: -108*sqrt(3) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*m + k - 4, -4*m + 14 = -2*k. Is 7\/2 + (-2)\/m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88943*b**2 + 88943*b**2 + 582*b**3.\nAnswer: 582*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -166ab5 (base 12) to base 8\nAnswer: -1360251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -22)\/(2\/(-28)). Let g = u - 5584\/19. Suppose 9 = 3*j + 3*l, 7 + 11 = 2*j + 5*l. Is g at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213.6*22.\nAnswer: 4699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(1 + 2 - 5)*(-12*p + 17 - 17 + (1 - 2 - 1)*(2 + 18*p + 6 - 5)) in the form h + t*p and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q + 9 + 6 - 13. What is f(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*b + 8, -3*c + b - 10 = -8*c. Is (-585)\/10*c\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4179885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07206 and -28.\nAnswer: -28.07206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6866? (a) 0 (b) -43 (c) -0.1 (d) -2\/9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4688402 to the power of 1\/2, to the nearest integer?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 370*h - 373*h = -24, -57 = -19*h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 1. Let p be b(3). Suppose -9 = -m - p*m. Suppose 2*y = 3 + m. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 2*g**3 + 0*g**3 + (-3*g**2 + 3*g**2 - g**2)*(2*g - 5*g + g) + 0*g**3 - 4*g**3 + 57*g**3 + (0*g**2 + 5*g**2 - 4*g**2)*(-4*g - g + 3*g).\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-12)*389*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + v + v = -7, -15 = 3*v. Let p be ((-2)\/(-3))\/(((-31)\/(-6))\/31). What is the third biggest value in w, p, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*(9\/(-4))\/(-3). Let n(a) = -998*a - 4986. Let y be n(-5). Solve -q*w = -y*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1611 (c) 198\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 6. Let u(n) = n - 12. Let s be u(q). Let k = 0.2 + -1.2. What is the biggest value in k, -4, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g = 22*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*s**3 - 6*s**2 - 280?\nAnswer: -60*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 4 (c) -5 (d) -2 (e) -623\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4290.5 + 4291. Let h = -0.2 - -1.2. Which is the third smallest value? (a) f (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*s - 2*l - 2*l, -5*l + 76 = 4*s. Let y(q) = -8 + q**3 + 18 - s + 9*q**2. What is the tens digit of y(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420 divided by -93\nAnswer: 140\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**1)**(-23)*(g\/(g\/(g*g*g*g**(-5\/6))))\/(g*g*g*g**(-8)*g) assuming g is positive.\nAnswer: g**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*q + 4446, -d - 3*q + 4*q + 2215 = 0. What are the prime factors of d?\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*z, 4*p - z - 90 - 31 = 0. Suppose 0 = g + 3*o + 3 - 12, 4 = -2*o. What is the remainder when p is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -10, -11 in increasing order.\nAnswer: -11, -10, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + 298. Suppose 3*p + 4*w - 5 = 211, 0 = 4*p + 2*w - o. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 1. Let p(j) = 26*j - 6. Determine -2*p(w) - 18*y(w).\nAnswer: 38*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10488 divided by -114\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140015680 and 1792?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 1, -7\/3.\nAnswer: -31, -7\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2 + 36 = -5*z, s + 26 = -4*z. Let t(x) = 55*x + 330. Let i be t(z). Solve i*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 254255044?\nAnswer: -254255043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab (base 13) to base 3.\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 368877, 736934, 1104989, 1473042, 1841093?\n\"Answer: -y**2 + 368060*y + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 - -3 - (1076 - 1198).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 161.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2, -0.533, -8?\nAnswer: -0.533","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 51 - 36. Suppose 4*l + 3 = -v*o + 23, -l + 2*o = -5. Solve -7*g + l = -9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:13 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -17*a - 6. Let o(n) = -86*n - 31. Let s(f) = -2*o(f) + 11*r(f). Let v be s(-3). Let b = -20 + v. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 - 1658*v + 9943. What is i(6)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10104888 and 1.\nAnswer: -10104888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 19*w - 132 = 0, -30*w - 312 = 4*h - 14 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 44*t**2 + 16*t - 322. Suppose 20*l - 45 = 15. Let p(x) = -14*x**2 - 5*x + 107. Let s(n) = l*o(n) + 10*p(n). Differentiate s(b) wrt b.\nAnswer: -16*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 3*t**2 + 1\/10*t**5 + 0*t + 0 - 1\/40*t**6 - t**3 + 1\/8*t**4. What is r in p(r) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z = -2*t + 281, 2*z - 107 = t. What is the remainder when z is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = 4, 0 = -5*m + 5*g + 1550. Suppose 16*s - m = 12*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(686))\/(sqrt(18)\/(sqrt(9)*-3)).\nAnswer: -63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -339?\nAnswer: 338.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u - 21*u + 10*u. Let o(k) = -k**2 - 1. Let h(q) = -q**2 - 3. Let b(r) = -2*h(r) + 6*o(r). What is b(m(n))?\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 0, -3, 9, -30254 in ascending order.\nAnswer: -30254, -4, -3, 0, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 4*i - 36. Let t(c) = 3*c - 27. Let j(v) = -4*t(v) + 3*x(v). Let f(h) = -1523*h. Give j(f(m)).\nAnswer: -6958587*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888)*-2)\/(sqrt(99)\/(sqrt(33)\/sqrt(3))) - ((1*sqrt(270))\/sqrt(10))\/(sqrt(18)\/sqrt(2)*5).\nAnswer: -121*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - 1*sqrt(5000) - sqrt(50))*4)\/((1*sqrt(10)*4 + sqrt(10))*3).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 644, 685, 726, 767?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/4 + 9*t**4\/2 + 26*t**3 + 68*t**2 + 84*t + 40 = 0. What is t?\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91, -267, -549, -937, -1431, -2031, -2737?\n\"Answer: -53*l**2 - 17*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 + 157.99564. Round p to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.15723 - 0.08323. What is the nearest to 0.1 in -1\/4, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7*1 - 8\/(-8). Let h be p + 3\/(-3) + 1. Solve -n = 3*n + h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3268*t = 3426*t - 8058 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111210000 - -202?\nAnswer: 111210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 678 and 93718358.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2900576?\nAnswer: 2, 7, 23, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 5\/(-2))*4. Let t be 2 + (3 + -1 - 0). Suppose 20 = 4*s + t. Solve -2 = -u*p + s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 + -2.3. Put s, 23, -1, -0.2 in decreasing order.\nAnswer: 23, s, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 5, p: 2, c: 5, d: 3}. What is prob of picking 1 p, 1 d, and 1 c?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(-1 + sqrt(1573) + 4 + -2).\nAnswer: -44*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 8:51 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2005 divided by 401.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161*f**3 + 498*f**3 + 924*f**3 + 2298*f**3 + (-4*f**2 + 17*f - 17*f)*(f - 3*f + f) to l*f + b + a*f**3 + j*f**2 and give a.\nAnswer: 3885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + -0.11. Let f = -109.26 - 64.74. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/4)\/(5600\/1200))\/((-4)\/(-588)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*x = -21, 48*x - 43*x = -58*s - 323 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) 111 (c) -8 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {b: 10, n: 4, o: 2, p: 1, r: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3157*d**3*f**3 - 3*d**3*f + d**2*f + 249*d*f**4 - d*f + 67*d - f + 43183 wrt f.\nAnswer: -18942*d**3*f + 2988*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79546 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*w + 10, 0 = 3*i - 5*i - w + 8. Let o(g) = -g - 1. Let l be o(-3). Find the second derivative of 54*t**l + i*t**3 - 3*t - 54*t**2 wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*3\/(-6)*(0 - 3). Let u(n) = -7 - 69*n**3 + 3*n**2 + 36*n**3 - 4*n + 34*n**3 + i. Determine u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 259\/(-49) - -5 - 382\/(-14). Let v be (-1)\/((-4)\/(-12)) + (y - -1). Calculate the highest common factor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*w + 269 + 475, f - 147 = w. Suppose -2*y - 20 - 46 = -2*h, 3*y + 5*h = -67. Let m = y + f. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -992\/11. Factor x*v**2 + 2\/11*v + 0.\nAnswer: 2*v*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7190 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 0, -37, -108, -225, -400, -645?\n\"Answer: -2*s**3 + s**2 - 4*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/63))\/(h*h*(h**(-16)*h)\/h*h) assuming h is positive.\nAnswer: h**(880\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**8\/2240 + i**7\/420 + i**6\/240 + i**5\/60 - 10*i**2. Let w(u) be the third derivative of f(u). Factor w(c).\nAnswer: 3*(c + 1)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 31?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.054255096 + 87.904428904. Let n = -2.041946 - x. Let k = n - -90. Round k to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 41*i**2 + i. Suppose 2*x = -2*j - 10, -5*j - 12 - 4 = -4*x. What is the remainder when r(x) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 120994 (b) -0.04 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74442025, 74442016, 74442001, 74441980, 74441953?\nAnswer: 74441920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 181?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-16*65\/(-52))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3132131 divided by -1\nAnswer: -3132131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*v = -95, -3*f + 70 = -5*v - 0*v. Let l = f - 22. Solve -l*o + 4 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 + 3\/(-3). Let s - 13 + 0 - 116*b**2 - 11 - 100*b - 40*b**3 = 0. What is b?\nAnswer: -3\/2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 30*n**2 - 177*n + 4533. What is d(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133331 - -2?\nAnswer: -133323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15191111 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**0)))**(1\/17)\/(p**1)**(-2\/13)*((p**(-1\/2)\/p)**(-1\/27))**20 assuming p is positive.\nAnswer: p**(2633\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120.291 - -139.3. Let v = n + -19. Round v to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/2 of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m + 3*y = -110, -3*m + 67 = -2*y. Let d = 35 - m. Calculate the remainder when d is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n + 1. Let d(c) = 40*c**2 - 6*c + 6. What is d(h) - 6*z(h)?\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8116, -8124, -8134, -8146?\n\"Answer: -l**2 - 5*l - 8110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r - 28. Determine w(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112613213 (base 7) in base 13?\nAnswer: 158752a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, -3.5, -0.3, 535, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741 = 83*l - 172 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - ((-122 - -90 - (2 + -24)) + 24).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (-448)\/49 + 11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303 (base 4) in base 12?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011010010010 - -101011100010?\nAnswer: 1011000101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -633513 or -633515?\nAnswer: -633515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*q**4 + 623*q**2 + 20*q + 1835 wrt q?\nAnswer: -396*q**2 + 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 - 9*i. Let t(n) = 4*n**2 + 10*n. Let k(b) = -2*c(b) - 3*t(b). Solve k(a) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + 2*k**4 - 3*k**4)*(3 + 2*k - 3)*(4 - 1 - 4).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/32 - 75\/224. Let y(h) = -h**2 - 5*h + 37. Let g be y(4). What is the closest to g in q, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -76a98?\nAnswer: 76a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 3*r**2 - 16*r - 6. Let i(o) = 2*o**3 + 2*o**2 + 17*o + 5. Let h(p) = -3*b(p) - 2*i(p). What are the prime factors of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1105*f**3 - 636*f**2 + 636*f**2.\nAnswer: -1105*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*v - 17. Suppose -4 = 30*t - 31*t. Suppose -t*d = -3*j - 4, -5*j = 2*d - j - v. Solve -s = d - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-36)*((-1998)\/180)\/37.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211025870 divided by 5.\nAnswer: 42205174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -210 + 60. Let h = 1150 + j. What is h rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - a**2 - a + 9. Let b be j(0). Suppose 2*w + 2*w = -f - 1, -3*w = -2*f + b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -94*m + 97*m. Let n = m - -110. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + p**4 + 0*p**4 + (p**2 + p - p)*(3*p - p - 4*p)*(3*p + 2*p - 2*p).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30a73 (base 11) in base 14?\nAnswer: -12697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**3\/3 + 2*d + 70. Let p(k) = 51*k. What is p(n(i))?\nAnswer: -102*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7\/3, -7 in increasing order.\nAnswer: -7, 7\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus 16.9?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let h be ((-13)\/2)\/((-2)\/(-4)). Let x(i) = -i**3 + 6*i**2 - i. Let z = -14 - -20. Let n be x(z). Let a(u) = 4*u. Give h*p(q) + n*a(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*y - 51 = 5*z + 118*y, -5*y - 27 = z. Solve 4*b - 8*b + z*r = -5, 0 = -4*b + r + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34370733139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:32 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 677781766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -291, -449, -623, -819?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-25))\/(1*(-6)\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*q = 1259 + 776, 0 = -5*v + 3*q + 10175. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.93783 nanometers?\nAnswer: 0.00000000593783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 - -0.04. Is m less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83298?\nAnswer: 2, 3, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707285*l + 707290*l + 80 = -6*z, l = -z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l + 14, -9*l + 5*l = 2*k - 4 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -5, 0.02, 97, 4, -45?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/15 - 6\/15 - 1. Suppose 24 = 8*d - o. Suppose -d*g - 21 = -10*g. Solve -g = -3*a + 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -0.01 (c) 48\/137 (d) 0 (e) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -386, -364, -344, -326, -310, -296?\n\"Answer: -h**2 + 25*h - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/(((o\/(o\/(o*o*o\/o**(-1\/4))))\/o)\/o)*o**(-2)*o*o*o*o\/(o*o\/((o**(1\/9)*o*o)\/o)) assuming o is positive.\nAnswer: o**(211\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 9576908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 6)*(-i - 25 - 19 + 15) as n*i + h and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2 - 0) + 35. Let v be ((-110)\/r)\/((-4)\/6). Suppose 4*d = 4, v*f = -3*d + d + 402. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7940963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + 244. Suppose v + x = 4*v. Let h(i) = 10*i + 3. What is the remainder when v is divided by h(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181127401?\nAnswer: 7, 13, 17, 191, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8959 + 17390712\nAnswer: 17399671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 966 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. What is the third derivative of 2*c**3 - 5*c**3 - 2*c**3 + 4*c**m wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0121 - 5.0121. Let w = 0.9 + 1.1. Let a = 0.13 + 4.87. What is the second smallest value in a, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78178\/351 bigger than -222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -74*j - 367. What is the least common multiple of 215 and f(-5)?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -75, -73, -71, -69, -67?\n\"Answer: 2*n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 247*u - 242*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -20. Let g be 2\/3 + 60\/(-63). Which is the second smallest value? (a) 2 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(160\/(-190))*8\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-39 + 16)) + -20 - -52 - -6\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10188966*l**6 + 2*l**2 + 21*l - 29484 wrt l.\nAnswer: 1222675920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/403392 and -2\/18909?\nAnswer: 1210176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302 + 320.96. Let d = k - 19. Let w = d - 0.06. Put 5, 0.5, w in decreasing order.\nAnswer: 5, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*s**3*x**2*z + 479*s**3*z**2 + 30*s**2*x**2*z - 2*s*x**2*z**2 - 267*z**2 wrt s?\nAnswer: -102*x**2*z + 2874*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than 1500\/2423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1119*l - 1058*l = -183 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/20 and (-4)\/(-18)*3 + 6832\/(-2016)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 + 1 - 20*f**2 - 1.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.12.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9965405, -19930810, -29896215, -39861620?\n\"Answer: -9965405*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 4*t + t)*(-t + 2*t + t + (-3 + 1 + 0)*(-t - 4 + 4) + 0*t - 2*t + 3*t + 0*t + 4*t - 2*t) + 4*t + 2*t**2 - 4*t as g*t + o + b*t**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -821.7 rounded to the nearest 10?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12113 + -12 - (-9)\/(54\/(-12)).\nAnswer: 3, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, m: 1, l: 1, h: 1}. Give prob of picking 1 d and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 21*z + 19*z + 0 + 0 - z + (z - 4*z + z)*(-2 + 0 + 0) - z + 3*z + 0*z in the form w*z + s and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:23 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 7. Solve -4*x + 12 = a*d, 2*x = -d - 0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1261 + 44*h - 19*h - 20*h. Is a(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*y - 158 + 158)*(2 - 3 + 2)*(0*y**2 + 2*y**2 - 4*y**2).\nAnswer: 186*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 8.8. Let f = 5.2 - q. Let s = 0.5 + -0.3. Which is the third smallest value? (a) -4\/5 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 + -0.3. Let n = s + -9.86. Let q = n - -10.00095. What is q rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w - 7. Let v(r) = 36*r + 34. Let z(u) = -11*k(u) - 2*v(u). Let b be z(-2). Let p = b - -35. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, 11\/5, 87 in descending order.\nAnswer: 87, 11\/5, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6143966194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5 and 24027.7?\nAnswer: 60069.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231477 divided by 393.\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6486444 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -4 (c) 0.063\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 5966.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141913*s + 66203*s + 64744*s)*(s**4 + 4*s**2 - 4*s**2).\nAnswer: -10966*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, p: 1, o: 4, v: 5, h: 1, k: 1}. What is prob of picking 1 y and 3 o?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14628, 14637, 14656, 14691, 14748, 14833, 14952?\n\"Answer: i**3 - i**2 + 5*i + 14623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/650675 at least 23.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*v**5 + 236*v**4 + 36*v**3.\nAnswer: v**3*(v + 18)*(13*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/25 (b) -2 (c) 2 (d) -2\/3 (e) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*r + 4*r**2 - 33*r - 16 + 3*r - 22*r + 16*r**2.\nAnswer: 20*r**2 + 5*r - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**3\/7 - 20484*g**2\/7 - 34966188*g\/7 - 19895760972\/7 = 0.\nAnswer: -1707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - (8\/12 - 7). Let r(q) = q + 14. Let y be r(-11). What is the highest common divisor of y and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 2*c**2 + c**4 - c**2 + 0*c**4 - 4*c**2 + c - 6*c**2 to the form w*c**2 + m*c**4 + q*c + h + j*c**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 0*k + 18 + 8 + 10 to l*k + v and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 190\/(-228) + (-46)\/(-84). What is the third biggest value in s, 1\/10, -1\/6, 19?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {t: 7, z: 2, m: 2, l: 7}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 4*i**2 + 89*i + 99*i - 188*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/550 and 41\/132?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254 + 254.1872. Let r = 0.02 - -0.16. Let a = r - f. What is a rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507762967.\nAnswer: 3739, 403253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 695354 greater than 695351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51974744.\nAnswer: 2, 6496843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3051 - 12205\/4. Which is smaller: c or -1296?\nAnswer: -1296","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 10. Let c be n(-5). Let m = c + 55. Let h(s) = s**3 + 35*s**2 - 37*s - 31. Let j be h(-36). Solve 0*g = -j*g - m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -159\/314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3374 + 15007 = 5*s, 5*k - 4647 = -2*s. Suppose 8896 = 5*a + y + s, 0 = 5*a + 5*y - 6590. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2*((-6930)\/600)\/(-77).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 245 = 2*l + 323, x = -2*l - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b304 (base 15) to base 5\nAnswer: 2202204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -58508 and 91.\nAnswer: -58417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -1678, -3783, -6732?\nAnswer: -10525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -21, -37, -55, -75, -97, -121?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 79*t**2 + 16*t + 32. Let q(j) = 2*j**2 + 2*j + 4. Give -24*q(h) + 3*w(h).\nAnswer: 189*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01376906842 + 4.1.\nAnswer: 4.08623093158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76295255.\nAnswer: 5, 23, 663437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 141817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/16 - 19\/48. Let z be (4\/(-6))\/((-2)\/3). Is z < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 (base 10) in base 13?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -415*b**4*m**3 + 2*b**4 + 11*b**3*m**3 + 9136*b**2*m**3 - b**2*m**2 + 2*b**2*m + 4*m**3 wrt b.\nAnswer: -9960*b*m**3 + 48*b + 66*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1680\/(-14))\/(-10)*2\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/70*(121\/15 - 7)*-5.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-9)\/(-1188)*-11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6249 + -6089. Calculate the smallest common multiple of 64 and s.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -683, -2346, -5091, -8924, -13851, -19878, -27011?\n\"Answer: -k**3 - 535*k**2 - 51*k - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((4\/(-10))\/(55\/(-2475)))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:54 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63906*r - 60657*r - 81*r**2 + 79*r**2 to b*r + z + q*r**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/5 of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = x - 199, -399 = -4*x + 4*k + 389. Let a = x - 131. Suppose -2*p + 26 = -g - 30, a = 2*p - 5*g. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 16) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 851*c - 40716. What is l(51)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 75 = u - 5*t, 4*u = 3*t + 56. Suppose -8 - u = -f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 204\/8*-18. Suppose j - 8*l - v = -13*l, 1904 = 4*j + 2*l. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5315 (base 6) to base 13.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 127325 and -0.3.\nAnswer: -38197.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((4 - 2)\/2). Let s be (-3)\/(-6) - 10\/(-4). Suppose 0 = 4*z - o - 29, s*z - 4*o + 12 - 50 = l. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7*f**2 + 0)*(2*f**2 - f**2 - 4*f**2).\nAnswer: 21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30487 - 30483. Let g be (30\/(-7))\/(1\/(-7)). Solve 5*a - g = p, -b*p - 35 = p - 2*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(21)*-4 + sqrt(21)))\/sqrt(7) + (-1*sqrt(3)*-2 - 2*sqrt(27)))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f = 29*f + 75. Let j(v) = v**2 + v. Let r be j(1). Suppose 4*x - 2*x = g - 6, -r*x = 3*g + 6. Solve -i - f = -2*u, g*u = -u + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887*l - 1737*l + 16852 = 1634*l + 297880 for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3 - 3)*(-j**2 + 0 + 0) + 0*j**3 + 2*j**3 - 4*j**3 + (2 + 1 - 5)*(-5*j**3 + j**3 + 5*j**3).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 - 305*k**2 + 2970*k + 7200 = 0. Calculate k.\nAnswer: -2, 15, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 669*y - 101*y + 26174 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 10) to base 3.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3 = -13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*a - 11, -q - 4*a - 1002 + 1023 = 0. Solve q*u + 2*z = 25, u - 5*z = 4*u - 34 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 3}. Give prob of sequence uz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 - a**2 + 3*a**2 + 2)*(11 - 222 - 88) to the form b*a**2 + r + u*a and give r.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1045075 and 1045119 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5048 is divided by 187?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 8*i + 15. Let t(j) = j**3 + j - 1. Let k(s) = 5510*s - 5507*s + 5*s**3 - s**3 - 5*s**3 - 3. Calculate i*t(l) - k(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0257439325 rounded to 5 decimal places?\nAnswer: 0.02574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1d7c (base 14) to base 10\nAnswer: -5402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591411 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6)*(13 - -5 - 8 - 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - 0.3. Let h = 1 + 1. Suppose 4*j - 8*j = 16. Put q, j, h in increasing order.\nAnswer: j, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**3\/3 - 5*r**2\/2 - 5*r + 14. Calculate w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -7, 3 in decreasing order.\nAnswer: 4, 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 56. Let k(t) = -6*t + 3*t**3 + 2*t**2 - 6*t**2 + t**3 - 3*t**3. Let q be k(5). Put q, 5, r in increasing order.\nAnswer: q, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65283615 divided by -13056723?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + (2 + sqrt(192) - sqrt(192)) - sqrt(192) - (6*sqrt(12) + sqrt(3))) + sqrt(9)\/(sqrt(15)\/sqrt(405)))**2.\nAnswer: -16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -159574696*a*y**2 - 17665*y**2 + 5025 wrt a?\nAnswer: -159574696*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -444488.22 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 36 - 30 - (15 - 3 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - 4. Let t be 48\/10 + (-2)\/m. Calculate the highest common factor of 25 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/19)*t**7)\/((t**(-5)\/t)\/(t**(-11)\/t)))**(3\/41) assuming t is positive.\nAnswer: t**(108\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -327 (b) 1 (c) 2 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3100*a**2*q**2 - 14210*a**2*q - 115*a*q + 10*a - 151*q**2 + 2*q - 1 wrt a?\nAnswer: -6200*q**2 - 28420*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 64. Let j be s(20). Suppose -33*z**2 - 47*z**2 + j*z + 44*z + 152*z + 5*z**3 = 0. Calculate z.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/630 + 3*g**6\/10 + 37*g**5\/60 - 109*g**4\/36 + 39*g**2 + 106. Factor r(j).\nAnswer: -j*(j - 109)*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 1, g: 1, q: 1, u: 1}. Give prob of sequence wguc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*z - 59 = 0, f + 32 = 3*f + 2*z. Let v = f - 11. Calculate the remainder when 139 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 62*p**2 - 1. Let s(b) = -4*b**2 - 467*b. Determine s(o(j)).\nAnswer: -15376*j**4 - 28458*j**2 + 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*w - 16*w + 11*w - 68*w**3 + 16*w**3 wrt w.\nAnswer: -312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) - (-55)\/(-15). Let s be r\/(-1 + 3 - 0). Let z be (18\/27)\/(s\/(-27)). Solve t + 3*t - 16 = -2*j, z = 3*t + 3*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 0 + 2 + 0. Solve k - m = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(1792\/196)*-4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-49)\/(-2) + 2\/(-4). Suppose -16 = -2*l + q. Solve -2*f = 3*f + l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10) + (-222)\/(-10). Suppose n - 2*c = -3*c - 7, l = -n - 4*c. Let g be 0\/(-1*(1 + n)). Solve o = -g*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 2)*(2*q**3 - 4*q**3 + q**3) + 2*q**3 - q + q - 4*q - 3*q**3 + 4*q + 0*q**3 + 4*q**3 - 3*q**3)*(q**2 - 34 - 3*q + 15 + 18).\nAnswer: -q**5 + 3*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.236, -1, -0.225, 3 in decreasing order.\nAnswer: 3, 0.236, -0.225, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 14*k - 10. Let n(s) = 55*s**2 + 7*s + 8. Let l(g) = -27*g**2 - 4*g - 5. Let f(u) = k*l(u) + 3*n(u). What is f(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4082 greater than or equal to -4082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/77 in 2, -2\/17, -0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5\/2))**(-8)*(z**(3\/13))**9 assuming z is positive.\nAnswer: z**(183\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmcccllrrcfm. What is prob of picking 2 m and 1 r?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -67?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4841 - -151. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1040430 by 9.\nAnswer: -346810\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 7 + 300*c - 4 - 202*c.\nAnswer: 98*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -164\/17 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 70. Let f(j) = -j**3 + 16*j**2 - 16*j + 17. Let s be f(w). Solve -d - d = -s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 9*f + 4. Let h be w(9). Suppose -q = -h, -5*i - q - q = -118. What is the greatest common factor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 943*s - 939*s + 4*z, 0 = -4*s + 5*z + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26970056.\nAnswer: 2, 3371257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 9. Let y(m) be the first derivative of -4*m - 3. Let c(z) = 4*u(z) + 9*y(z). Let v(r) = -377*r + 1124*r - 373*r - 375*r. What is c(v(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/(5\/(-30)). Suppose -5*n - h = -6*n. Solve n*p = -s + 3, 0 = 3*p + p - 4*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 25 + 80. List the prime factors of x.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -23*t + 5. Let n be j(0). Solve 2*v + 15 = -3*p, n*v - v - 3*p + 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9132 + 0.0292. Round c to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 4. Give z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 235 - 231. Solve 37 - 49 = 4*g - p*c, 0 = -2*g - 5*c + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 16*u + 73. Calculate m(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 8*p**2 + 7*p + 2. Let l be q(7). Suppose 3*j + l*j = 180. What is the second derivative of j*i**4 + 0*i + 4*i - 33*i**4 wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2611\/373*(-6)\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 3:05 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -127*y**4\/4 - 20*y + 819. Differentiate p(d) wrt d.\nAnswer: -381*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1398.446 nanograms?\nAnswer: 0.000000000001398446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.047 - 0.047. Let f = -35 + k. What is the nearest to 0 in -1, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2372021*k - 4177436 with respect to k.\nAnswer: 2372021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - b - 6 = 4, 5*b + 45 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.44 + 0.44. Let s = 60 + x. Let p = -159 - -2701\/17. Which is the closest to s? (a) -5 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2343, -2332, -2333, -2352, -2395, -2468, -2577?\nAnswer: -2728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001812671 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -506 + 517. Solve -3*o = r - 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2 - 5*f + 3. Let i(b) = -5*b**2 - 6*b + 3. Let c(a) = -3*i(a) + 4*t(a). Let u be c(-2). Solve -3*s = 2*m - 0*m, u*s = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 184 - 3*x - 37 + 4 - 48 as l + w*x and give l.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(264))\/sqrt(11))\/sqrt(8).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 820\/43, 4, -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = -0. What is the lowest common multiple of d and ((-22215)\/(-525) + (-2)\/(-7))\/((-15)\/(-100))?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 180 + 181 + 5*v**3 + v**2 + v**4 - v as l*v**2 + u*v**3 + c*v**4 + b*v + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Suppose c - 4 = -3*v, j*v - 2*v + 6 = -4*c. Is 1\/(c\/(-62)*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.75 - -218.95. Let o = v + -245. Which is bigger: -6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -392\/989 at most as big as -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.027, 2\/5, 3?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101101010011101 + 1?\nAnswer: 111101101010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 53*m + 9387. Let v be i(127). Let r(f) = 80*f + 884. Calculate r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418 = 56*v - 810 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2272a8 (base 11) to base 13.\nAnswer: -c845c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112646 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 107*p**2 + 17*p - 23. Let w(m) = 3*m**2 + 59*m + 133. Let r be w(-3). Let t(f) = 36*f**2 + 6*f - 8. Give r*t(s) + 6*o(s).\nAnswer: 30*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2115*f - 4 - 19*f**2 - 26*f**3 + 2113*f + 26*f**3 + 2*f**4 - 14*f**2 to the form c*f**4 + w*f + v*f**3 + a*f**2 + b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -303472 greater than or equal to -303473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1210 + -1d?\nAnswer: 11f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -123\/7. Which is the third biggest value? (a) y (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-17 + 12\/4)*648\/(-84) is divided by 2*1*((-56)\/(-16) + 11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9381402.0457 - -9380862. Let a = k - -540. Round a to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24015427 rounded to three decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 92, 177, 272, 341, 348, 257?\n\"Answer: -6*w**3 + 41*w**2 + 4*w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6739*s**2 - 6 + 3 + 3.\nAnswer: -6739*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + -5 - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76553645?\nAnswer: 5, 7, 2187247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 23*v + 47. Let a be i(-5). Solve 2*b + a + 1 = -2*y, b + 4 = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6954 + -1631. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 35, 25, -11, -79, -185, -335?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 2*d**3 + 7*d**3)*(-1530 + 1534 + 187*d - 62*d).\nAnswer: 375*d**4 + 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7689*z + 920 = -7649*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 d, 1 g, and 1 o when four letters picked without replacement from {f: 1, g: 1, o: 1, q: 1, d: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -120220 (base 3) in base 14?\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*u - 10, u + s = -2*s + 2. Suppose -36 = 18*y - 0. Sort u, y, 4, -5.\nAnswer: -5, y, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*o - 6, 0 = -2*o - 3*o. Let i(u) = -1 + 6*u - 4*u**v + 0*u - u**3 + 1. Suppose 0*p = p + 5. What is i(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1030179, -1030180, -1030181, -1030182, -1030183?\nAnswer: -1030184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 239121 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-18 - -18) + -30\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 6:08 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8abe0 (base 16) to base 6.\nAnswer: -1032532052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 13*v - 4. Suppose -4*w + 11 = -m, 2*w = -m + w + 9. Is 12 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14365300 rounded to the nearest one hundred thousand?\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.3713167738 take away 5?\nAnswer: 30.3713167738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 1, r: 1, f: 1, a: 1, h: 1}. Give prob of picking 1 h, 1 a, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Suppose -12 = -3*p - r*m, -3 = -3*p - 2*m + 9. Suppose -2*b + q + 3 = 0, -q + p*q + 6 = 5*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(-84)\/(-532)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001096354 to 6 decimal places.\nAnswer: 0.001096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 10) in base 7?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3510 - -37?\nAnswer: 3547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 - 2*d**4 - d**4)*(0 + d + 0 + 1).\nAnswer: -5*d**5 - 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -8 in increasing order.\nAnswer: -8, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -8. Let q(p) = 5*p - 2. Let k(d) = -26*d + 10. Let z(u) = g*k(u) - 11*q(u). Let o(v) = -v**2 + 12*v + 16. Let y be o(13). Determine z(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -2706.\nAnswer: 29\/1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwjwswwwjwwwj. What is prob of sequence wjsj?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2277\/180058 - -7\/914. Let m = g + 3313\/1773. Let a = -133 + 422\/3. Find the common denominator of m and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*a**2 + 9*a**2 - 9*a**2)*(a**2 + 0 - a + 0).\nAnswer: 29*a**4 - 29*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 4:09 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252331 (base 6) to base 11.\nAnswer: 15a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9012*o**2 - o*t**3 - 1884*t**3 + 4*t**2 wrt o?\nAnswer: 18024*o - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-68))\/(3\/(-6)). Let j be (-2)\/2 + (-2)\/(-3). What is the second biggest value in 3\/2, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 6*w**2 + 5. Let o(d) = -d**3 - 3*d**2 - 2. Give -2*i(f) - 5*o(f).\nAnswer: -f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 24*w + 12*w)*(40 + 38 + 42)*(-3*w + 2*w + 4*w).\nAnswer: -4680*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 7)*(-183*j**2 - 60*j**2 - 80*j**2).\nAnswer: 323*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 305088.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 3 + 8*p - 4*p + 25*p - 5.\nAnswer: 29*p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 50, 83, 116?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 230207\nAnswer: -4\/230207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625 is divided by 2611?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 20*q**3 + 23*q**2 - 17*q - 6. Let c(v) = 7*v**3 + 8*v**2 - 6*v - 2. Give 17*c(n) - 6*l(n).\nAnswer: -n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 121*n - 118*n + 240*n + 525*n**2.\nAnswer: 525*n**2 + n - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*j + 43*c*o**2 - c*z - 2*j*o**2*z - 12*j*o**2 + 6*j*z - o*z + 2*o + 2*z wrt j.\nAnswer: c - 2*o**2*z - 12*o**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 16*u.\nAnswer: u*(3*u - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**22*l*(l\/(l\/l**(-1\/2)))\/l*l)\/(l**(-18\/7)\/((l*l*l**(-18\/7)*l*l*l)\/l)) assuming l is positive.\nAnswer: l**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -56251*a**3 - 2*a - 2. Let g be q(-2). Suppose -3*i - g = -2*b, -3*i + 449985 = -6*i - 3*b. What is i rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 1 (b) -46410 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvvyyvvyvvvyyvvjvj. What is prob of sequence vj?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33499 or 33498?\nAnswer: 33499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-5))\/(7\/35). Let u be (6 + -6)\/(2\/f). Solve 0 = 3*s - u*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10207, -9546, -8451, -6928, -4983, -2622, 149, 3324?\n\"Answer: -a**3 + 223*a**2 - a - 10428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4996*p + 11*p**3 + 3 + 4996*p - 3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5)*-5 - 1*7. Let w be -1*3*1\/3. Let i = w + 3. Sort i, 4, m.\nAnswer: m, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/((-390)\/(-200)) + (-2)\/(-3). Let l(h) = 6 - 1 + 0*h + h. Calculate l(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 303, 1849, 4429, 8049, 12715, 18433, 25209?\n\"Answer: y**3 + 511*y**2 + 6*y - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 0. Suppose i + 80000 = -d*i. What is i rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2225 - 3014?\nAnswer: -5243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 9. Suppose -2*r + 1 = -3*w, 0 = 2*r + 7 + 1. What is m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, c: 1, r: 8}. Give prob of picking 2 r and 1 v.\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 165, 359, 631, 981?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.06 + 3. Let i = -15 + 14.6. Put -1, 2, y, i in increasing order.\nAnswer: -1, i, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 41400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7052)\/(-20) - 0 - (-8)\/20 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 17. Let i be -2 - (112\/(-60) - d). Let h = 0.089 - 0.089. Which is the closest to -2\/5? (a) i (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7725336 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 5*u - 2*u + u to b + k*u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 2376*c + 0 - 3613*c**4 - 2 - 1050*c wrt c.\nAnswer: -43356*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h\/h**0)\/h)\/h)\/h)**(-38)\/((h\/((h\/((h**(5\/2)*h)\/h)*h*h)\/h))\/(h\/(h*h**1))))\/(h**(2\/7)*h*h**4*((h\/(h**(-1)\/h))\/h)**36) assuming h is positive.\nAnswer: h**(-585\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 - 48*s + 46. Let a be p(13). Suppose r + 0 = 68. Suppose -67*f - a = -r*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70951\/301632 - 4\/4713. Calculate the common denominator of n and 67\/20.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 10800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyydd. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*n - 3907 = 0, -7*y - 5*n = -3*y + 5221. Let i = -11720\/9 - y. Let l = i - 482\/261. What is the smallest value in l, -1\/2, 1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*x - 57. Factor 0*d**2 + d + x*d**2 + 14*d + d**2.\nAnswer: 3*d*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1908 divided by 2\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 39 = 5*i. Let a(k) = k**3 - 22*k**2 - 5. Let u be a(22). Let m = i + u. Solve 0 = -3*g - g + m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23442027, 23442026, 23442025, 23442024, 23442023?\n\"Answer: -y + 23442028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15 + 4*x**2 + 3*x + 4*x + 4*x. Let q(h) = -3*h**2 - 7*h + 10. Let z(i) = -i**3 + 4*i**2 - 2. Let t be z(3). Let s(c) = t*q(c) + 5*y(c). Give s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/15*4\/(-40).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21170717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -b + 9, 6*r - 5*b = r + 35. Let d = -13 + 7. Let l be -2*(-1)\/((-4)\/d). Solve -l*a - 7 = -r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -10 in decreasing order.\nAnswer: 5, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/21616 and -73\/2702.\nAnswer: 21616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 56, -128, -612, -1546, -3080, -5364?\n\"Answer: -25*i**3 - 9*i + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3337\/20 + 659\/4. Let p = 615721\/672946 + -1\/14318. What is the common denominator of p and v?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:07 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/9 and -87\/110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 6*r + 2. Calculate q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/8540 and 29\/5551.\nAnswer: 111020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/(-28) + ((-2)\/2 - 2497). Let t(d) = -d**3 + d**2 + d - 2. Let w be t(0). Is 27 a factor of n\/(-24) + w\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344350711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 + 124.1. Which is the nearest to s? (a) -4 (b) 0.2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 18 (b) -61806 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*m = -8534 - 2923. Calculate the remainder when 130 is divided by m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 3*o + 13 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2871 = -d, -524*d = -528*d - 5*v + 11483. What are the prime factors of d?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 - 17*u - 23. Let i(c) = -2*c**2 - 6*c - 8. Suppose 0*k - 2 = 2*h + 4*k, h = 3*k - 26. Let y(z) = h*i(z) + 4*x(z). Factor y(q).\nAnswer: 2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 6:38 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 + k**2 - 15*k - 26. List the prime factors of j(11).\nAnswer: 2, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -54*(-1)\/((-3)\/(-47)). Suppose 0 = -3*t - 2*d + d + 7, 5*t - 11 = -2*d. Suppose 0 = -t*n + 5907 - i. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544 = 157*c - 288 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150792575*s**3 - 130961287 wrt s?\nAnswer: 452377725*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*g - 5*u = 694*g + 15, -4*u = -g + 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21615 + 1.622774. Let g = u + -1.0066035. Let s = -0.4 + g. What is s rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 3) + 7 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e25c0 (base 15) to base 10.\nAnswer: 2235555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91\/152 - 9\/19. Is -1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a - 2. Give x(13).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, h: 5}. Give prob of picking 2 q.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 - 84\/20))\/((-46)\/345)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 1)\/(6 - 7) - -19. Suppose -8 - d = 3*z. Sort -1, z, -2 in decreasing order.\nAnswer: -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2941992.3 and 24.\nAnswer: 2942016.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 4}. What is prob of picking 2 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 119 + 42 = 0. Let i = -382\/5 + g. Which is smaller: i or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1299, -2599, -3899, -5199, -6499, -7799?\nAnswer: -9099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -248*u - 64. Let p(g) = 39*g + 10. Let o(q) = -5*j(q) - 32*p(q). Let v(f) = -3*f - 4*f**2 + 3*f + 2*f**2. Calculate v(o(k)).\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35861 and 763.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3441 (b) -1196 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2121, 2129, 2151, 2193, 2261, 2361, 2499, 2681?\nAnswer: 2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3429*i**4 - 10365864*i**3 - 62079834*i**2 - 51672144*i + 45255 = 0.\nAnswer: -3017, -5, -1, 1\/1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 20\/7*f**4 - 16\/7*f**2 - 16\/7*f + 52\/7*f**3 = 0. What is f?\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240140 - -2004321?\nAnswer: 2300011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 4*p - 57. Let x(o) = o**2 + 21*o - 5. Let j be x(p). Let f = -35 - -36. Sort f, 0, j, 2.\nAnswer: j, 0, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 + 2*t - 1. Let m be q(1). Let n(x) = -x**3 + 7*x**2 + 10*x - 11. Let s be n(8). Let a(h) = -h + s*h - h**2 + 6*h - 3 - 5*h. What is a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23575 - -65?\nAnswer: -23510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13646 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 + 47. Let b(m) = -1636*m + 3219. Let l be b(2). Is l at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13350911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1367 + -1373. Suppose 2*v = -9 - 7. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-15 + (14 - 6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*w + 2*w. Let q = 6 + w. Let l(d) = d**3 - 3*d**2 + 2*d - 2. Determine l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4*x - 1516, -5*j + 1786 = x - 115. What is the remainder when j is divided by 123?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47\/4)\/(116\/((-24128)\/52))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 11:11 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 27*x = 72 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.2 (c) 1\/96 (d) -190 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxsj when four letters picked without replacement from xjxxjjfsjxxfxffxjj?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, y: 1, b: 2, s: 1}. What is prob of sequence dsd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1 + 3)**2*-5.\nAnswer: -220 - 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 66 + 44. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -20\/9, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33961132*x**3 + 2*x**2 - 14110*x.\nAnswer: 203766792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.3 and -0.4?\nAnswer: 4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f - 2 + 20*f**4 + f**3 + 4*f - f**4 + 3*f**3 - 56*f**4 to d*f + o*f**2 + s*f**4 + p*f**3 + u and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 13*n**2)*(1 + 1 - 3 + (1 + 3 - 2)*(-2 + 0 + 0)).\nAnswer: -65*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + 0*o**4 - o**4 + (3 + 3*o**2 - 3)*(-o - o**2 + o) + (-2*o**3 + o - o)*(o + 3*o - o).\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 13 + 23. Let h be (-1 - 15)\/(-2) + a\/(-3). Solve 10 = h*j - 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*i + 2796 = 76*i - 1624 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(4 + -1) - -2. Let u(k) = 2*k + 1 + k**c + 3*k + 0*k**2. Let q be u(-2). Which is bigger: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 385348129141.\nAnswer: 385348129137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 278.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*a + 122 = -7*a + 6*a, 2*f - 5*a + 89 = 0 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:49 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2))**25)**(-15)\/((q**1)**(-41)\/(q**(-1\/4)\/q*q)**(-2\/27)) assuming q is positive.\nAnswer: q**(-3955\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 13*w**2 - 7*w + 17. Let t be n(13). Let k = -69 - t. Find the second derivative of 7*q**2 + k*q - 2*q + 20*q wrt q.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6 - 2 - 3 - 2*n. Let t be y(-2). Calculate the greatest common divisor of t and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 82*l**3 + 15*l**2 - 19*l + 3. Let d(n) = 7*n**2 + n - 2. Let p be d(2). What is the remainder when t(1) is divided by 2\/((-26)\/p + 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 381703 = -643874. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28981798 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(400)\/sqrt(5) + 1*sqrt(500) + 5*(3*((sqrt(60)*-2)\/sqrt(12) - sqrt(5)))**2.\nAnswer: 15*sqrt(5) + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:55 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03403 + 25.\nAnswer: 25.03403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -35*n**3 + 15*n**3 + 19*n**3 - 4*n + 3*n - n**2. What is v(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 27 = 3*c, -4*x + 0*x - 45 = 3*c. Let f = -52 - -82. Let n = c + f. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 92\/23 - (1 - -1). Suppose -w*o = -1130 - 590. Suppose 2*m - o = -3*m. Is m a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/30 - 41*q**4\/24 + 3*q**3\/2 + 11*q**2. Calculate the smallest common multiple of 96 and f(21).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 1 - 1 + (2*p - 3*p + 3*p)*(33 + 70 + 115).\nAnswer: 432*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -4) + -8 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q + 3648 = 0. Is 38 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7314350 and 42175?\nAnswer: 51200450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8258, -2\/15, 0.5, -4\/5, -7\/544, -1\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.5 - -10. Let a = -0.2212 - 1.7788. Sort -5, a, s in ascending order.\nAnswer: -5, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 4*r - 9*r in the form l + y*r and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032304?\nAnswer: 2, 7, 13, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -155*k**3 + 774*k**2 + 7*k - 7. Determine f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20, -45, 1, -2, 59 in decreasing order.\nAnswer: 59, 20, 1, -1, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1698 and 41884?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 107 + 107 + (-1 + 1 - x)*(-1 + 5 - 2) in the form r*x + y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.837 plus 15?\nAnswer: 14.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6165 divided by 3\nAnswer: -2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l**2 - l. Let m = 99 - 97. Let z(c) = c - 3*c**m - c + 2*c**3 + 4*c. What is -4*a(g) - z(g)?\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465 by -7.\nAnswer: 465\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2016) + -6*(sqrt(224)\/sqrt(4) + sqrt(56)))\/((sqrt(8) + -3*sqrt(72))*-1)*2.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 7*p**4\/24 - 22*p**3\/3 + 2*p**2 - 1107*p. What is k(15)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -50*y - 4295. Calculate z(-86).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)*w\/w**(-6))\/((w\/(w\/(w*w**(1\/5))))\/(((w*w\/((w\/(w*w*w**2\/w))\/w))\/w*w*w)\/w)) assuming w is positive.\nAnswer: w**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3 + 3)\/3)\/(-2). Suppose b = -5*a - 20 - 15. Let z = 16 + a. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = j - 4*j. Suppose j = -g + 34 - 24. Sort g, 1, -3.\nAnswer: -3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -104*q**5\/15 - 5*q**4\/24 + q**3\/2 - q**2. Let d be 8*24\/128*(3 - 14\/6). Let a be i(d). What is a rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i - 45*i**3 - i**2 + 2*i - i**4 - 13*i**3 + 9*i - 2 in the form x*i + s + z*i**4 + y*i**3 + f*i**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/5*a**4 + 6*a**2 - 62\/5*a**3 - 2\/5*a**5 + 0*a + 0.\nAnswer: -2*a**2*(a - 15)*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 1328588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 1.7. Let h be 6\/(-1)*((-294)\/(-63) - 5). What is the nearest to g in h, -3, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000225691563 to 7 dps.\nAnswer: 0.0002257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 2*z - 1. Determine v(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3.8, 0.07, 0.2 in increasing order.\nAnswer: -0.4, 0.07, 0.2, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 17, 42, 77, 122, 177, 242?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-8 + (11 - 7)) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -58, -85, -112, -139?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, g: 3, e: 7}. What is prob of sequence ee?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 2*i + 2. Suppose -p + 1 + 4 = 0. Let z(d) = 2*d**3 + 4*d + 5. Calculate p*n(g) - 2*z(g).\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2500)\/75*48\/(-80)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -249 - -615. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 2\/13 (c) -0.1 (d) 24\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w. Let v(q) = q**3 + 8*q**2 + 10*q - 12. Let y be v(-6). Let b(f) be the first derivative of 0*f**2 - 1\/3*f**3 - 3 + y*f. Give b(h(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030036523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 262\nAnswer: -4\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874404.\nAnswer: 2, 3, 107, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 457.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -56, -132, -238, -374?\n\"Answer: -15*b**2 - b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33123\/10 - 3318. What is the common denominator of 37\/6 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-2)\/15) + 76798\/(-7353) + -5.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(6438\/(-5655)))\/((-3)\/(-9)*(-6)\/4).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611*b + 196*b - 689*b + b**3.\nAnswer: b**3 - 1104*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -16900, 3, -4041 in increasing order.\nAnswer: -16900, -4041, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 215 = 83*i + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/13 - 10054*u**2\/13 - 975422*u - 8716266.\nAnswer: -2*(u + 9)*(u + 2509)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 37. Suppose -12 = 2*j + 4*x, 5*x + 12 + 13 = h. Solve 0 = -j*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/16*12\/(8\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3317662654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5\/5 + 68382*t**4\/5 + 3348986*t**3\/5 + 45716456*t**2\/5 + 22946433*t + 72296314\/5 = 0.\nAnswer: -68333, -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, g: 1, h: 1, k: 1, m: 2, b: 8}. What is prob of sequence mt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**5\/30 + i**2 - 4. Let p(q) be the second derivative of y(q). Let g(r) = -r. Determine g(p(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 468 and 603135?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-16)*1)\/(6\/72)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622463?\nAnswer: 3, 17, 29, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**2*n*o**2 - 3*b**2*n - 2*b**2*o + 2*b**2 - b*n*o - 41*b*o**3 - 2*n*o**3 + 34*o wrt o?\nAnswer: 16*b**2*n - 246*b*o - 12*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - v - 3*v = -86, 5*d - v - 66 = 0. Let n = 49 - 8. Calculate the remainder when n - (-2)\/(2\/(-1)) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 + 3*i**3 + 4*i**3 + (-i + 3*i - 3*i)*(6*i**2 + 54*i - 54*i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Let w = -105 + 185. Let n be ((-6)\/(-15))\/(2\/w). Solve -o*m - m = -n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -5 (c) -0.2 (d) 0.5 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 87900?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61\/7 or -9?\nAnswer: -61\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5922113*i**4 - 5003673*i?\nAnswer: 71065356*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 3*d**2 + d - 1. Suppose -10 = -2*w, -4*a - 2*w - 2*w = -28. Let k be z(a). Let j be 4\/14 - (-9)\/(-7). Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 165) + 71 - (-88 - 8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p. Let l be b(2). Let d = 18 + l. Solve 2\/5*f**5 + 0*f - 6\/5*f**4 + 0 + 6\/5*f**3 - 2\/5*f**d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-17)*k*k\/(k*k**(-24)*k)*(k**(-1\/5))**45 assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52769671 - 11.2.\nAnswer: 52769659.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185444.9 millimeters in meters?\nAnswer: 185.4449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17268, 46794, 76330, 105882, 135456?\nAnswer: 165058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 1. Let w(t) = -t + 4 + 7 - 9. Suppose 2*x + 36 = 6*x. Suppose -14*h = -11*h - x. What is h*a(y) - w(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6624.003 times -4\nAnswer: -26496.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/30 + 1\/2. Suppose 4*k - 27 = 19*i - 16*i, -4*k + 30 = -6*i. What is the nearest to 0 in k, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3283*q - 3321*q = -532 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25362 divided by 308.\nAnswer: 12681\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(2 + 100\/(-45)). Factor a + 5\/3*a**2 - s.\nAnswer: (a + 1)*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-6))\/4)\/((-14)\/(-28)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120487436 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1)*(3 + 0 + 5)*(-z**2 + 0*z**2 + 3*z**2).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 20001?\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5 + 17666*q**4 + 159110*q**3 + 406702*q**2 + 265260*q = 0. Calculate q.\nAnswer: -5, -3, -1, 0, 8842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihrezhmiizzimr. What is prob of sequence zr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(2\/67)))\/(((q**38*q)\/q)\/q)*(q**(-1\/13)*q)**(9\/4) assuming q is positive.\nAnswer: q**(-30392\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 12 - (-4 - (16 - 23))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8 + 4*u**2 + 10*u**2 + 1 - 2*u - 7*u**2 - u**3. Let d be f(6). Let o = -33 + 51. Which is bigger: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4201 - -4324. Solve 129*l - r*l + 36 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 1, r: 1, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*7*8\/2128.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820682929 to the power of 1\/2, to the nearest integer?\nAnswer: 28648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 132520.\nAnswer: 1060160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5222032 - 250?\nAnswer: -5222312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 12:30 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 233*a**3*o*v - 14*a**3 - 12782435*a**2*o - 453683*a*o*v wrt v?\nAnswer: 233*a**3*o - 453683*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/2669 + 8047\/10676. What is the smallest value in -1, 15\/16, v, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3297 divided by -157?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 250*h**3*u**2 + 4*h**3*u - h**3 - 27430*h**2*u**2 - 413763*h**2*u - 1 wrt u?\nAnswer: 500*h**3 - 54860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 7*z - 120. Let a be l(15). Solve 4*n - 5*j - 24 = 0, a*j = 5*n + j - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.3 - -0.3. Let g = n + 13. What is the closest to 1 in 0.4, -0.2, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 + 3. Let q = 304.7 - 127. Let r = 178 - q. Put w, r, -4\/5 in descending order.\nAnswer: r, w, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 42112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32\/(-16)*822\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23096282 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 2828.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 1188*v + 4720.\nAnswer: 2*(v - 590)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104993, 209978, 314963?\nAnswer: 419948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + (5 - -9) + 215470 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n + 157 = 28*n + 49. Calculate the smallest common multiple of n and 186.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -6, -3.\nAnswer: -9, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 5*j**2 + 5*j. Let q be o(-4). Let p be (6\/q)\/((-2)\/12). Let k be p\/(-6)*-2 - -3. Let d(f) = f**2 - 6*f + 4. Determine d(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**3 - 2*t**2 + 2. Let g(l) = -l**3 + l**2 + l - 1. Give c(p) + 2*g(p).\nAnswer: 5*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1137.3 to the nearest 10.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**8\/168 + i**7\/105 + i**6\/60 - i**5\/30 - 5*i**2. Factor z(o).\nAnswer: -2*o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12513.8 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252549603 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 33, -3, 2 in increasing order.\nAnswer: -3, 1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31\/4, -2\/5, 84, -145?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/3 of a day in minutes?\nAnswer: 28320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(171) + -1)*2 - sqrt(171))*-5)**2 + 4*((1 + sqrt(171))*-3 + sqrt(171)*-2*4)**2.\nAnswer: -1908*sqrt(19) + 122175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 355*h - 734*h + 380*h.\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 11 = 4*l, 3*u = l + 414 - 400 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (32\/6)\/(34 - 14\/378*927)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/24 - x**3\/2 - x**2. Let c be t(8). What is the greatest common factor of 45 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j**4 + 3*j**2 + 11*j + 3. Let t(v) = -35*v**4 - 8*v**2 - 34*v - 8. Let s(f) = -8*q(f) - 3*t(f). Find the second derivative of s(l) wrt l.\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.696002 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -13. Calculate the least common multiple of a and 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-8 - (-8 + 30 + -27)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -1\/1344*c**8 - 1\/24*c**4 - 1\/140*c**7 + 0*c**3 - 13\/480*c**6 - 27*c**2 - 1\/20*c**5 + 0 + 0*c. Factor w(r).\nAnswer: -r*(r + 1)**2*(r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(55)\/(sqrt(80) - sqrt(5)) + -3)**2.\nAnswer: 2*sqrt(11) + 92\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66.8 + 8.8. Let i = w - -8. What is the second smallest value in -2\/7, i, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 329*b**3 - 4*b**5 - 329*b**3 + 12*b wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*a = 46 - 28, 19 = 4*f + a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q + 23. Give x(-7).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + (-11 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 85*r - 499. Give m(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from evsssvsssseessssssss.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {j: 1, t: 2, n: 1, q: 1, v: 1, k: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/271385, 3, 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8260 = 2*d - 16*d. Let j = 586 + d. Which is the third smallest value? (a) 0.03 (b) -1\/13 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) + 1\/((-48)\/852).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1 + (-18)\/4). Let u = -0.33 + -2.67. What is the second biggest value in u, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - sqrt(216)*5 - sqrt(24)) + sqrt(72)\/sqrt(3)*-3)\/(sqrt(24)\/(sqrt(12)\/sqrt(4)) + 2*sqrt(1152))*-2)**2 + -4.\nAnswer: 1388\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 8. Let s be k(0). Suppose -13 - s = -7*c. Calculate the remainder when 5 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 68971, -4 in decreasing order.\nAnswer: 68971, 12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*u = 21*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -798 + 15156\/19. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 - 9 - 2*k**3 + 18 as r*k**3 + g + o*k**2 + i*k and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*m - 553*m + 3760 = -5600 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 989382, 3957501, 8904376, 15830013, 24734418, 35617597, 48479556, 63320301?\n\"Answer: q**3 + 989372*q**2 - 4*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -35. Let p(m) = 2*m**2 + 2*m - 5. Let n(i) = -2*i**2 - 3*i + 6. Give u*n(t) - 7*p(t).\nAnswer: -2*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Suppose -5 = -j*f, -3*i + 2*f = -3 - 1. Suppose -i*z + 3*z + 3*n = 19, -n = 2*z - 18. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + 0.9. Let u be (-76)\/28 + (2 - -1). Which is the closest to t? (a) u (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/6*10\/(-7))\/((-126)\/231*11).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10392.5 - 10392. Let u = -5 + 3. Which is the third biggest value? (a) u (b) -0.04 (c) -3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*f = 7 + 1, 0 = -5*f + 25. Suppose -4*u - a = 3*t, -2*u + 9 = -0*u - t. Suppose 0*n = 2*n - u. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j + 43*j = i + 6, 0 = 2*j + i - 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 3. Let u(l) = 2*l - 4. Suppose -3*w + 247 = 184. Let f = -17 - -34. Let x = w - f. Calculate x*r(b) - 3*u(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2328 - 2331. Which is the third smallest value? (a) 3\/11 (b) 4 (c) 0.3 (d) 0.5 (e) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258054235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 1 + 1 + l**2 - 2. Let g = 4 + -2. Is u(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/12 + (-112)\/(-6). Suppose 0 = -2*d, -3*x + d = -w - 62. What is the lowest common multiple of x and ((-8)\/(-10))\/(66\/495)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s - 56203 = -65*s. Let w = s - 884. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/198 and -91\/330.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/8)\/(18\/36). Solve 6*a = -5*m + h*a + 10, 3*m + 4*a = 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147449698?\nAnswer: 2, 37, 41, 131, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r - 2*y + 48 = -31*r, -2*r - y + 35 = 0. Solve -r*g = 4*f - 20*g - 16, -4*g = -8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 27*r**3 - r**2 - 17*r + 23. Find the second derivative of f(n) wrt n.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -421065, -421031, -420963, -420855, -420701?\n\"Answer: i**3 + 11*i**2 - 6*i - 421071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -34. Let v be 64\/(-36) + 6\/(-27) - 5. Let f(k) = 6*k**2 + 14*k + 56. Let s be f(v). Calculate the greatest common divisor of s and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r**3 + 6*r**2 - 3*r - 3. Let t(z) = 16*z**3 + 8*z**2 - 4*z - 4. Determine -3*c(q) + 2*t(q).\nAnswer: -16*q**3 - 2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 47244617*r**2 + 24 + 47244657*r**2.\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5\/8 - 7827*o**4\/8 + 108585*o**3\/8 + 1051899*o**2\/8 - 599565*o\/2 + 155700 = 0?\nAnswer: -8, 1, 20, 2595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((72\/(-15))\/(-2))\/(-2)*(-920)\/138?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16942 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 435002782 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*u - 18 = -894*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 - 1211*j**3 - 1213*j**3 - 5*j + 2425*j**3 in the form u*j**2 + t*j**3 + c*j + x and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 14*o - 10. Calculate k(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32398566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f - 522 = -5*z, -f - 3*z + 536 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/8)))\/(f\/(f**31\/f*f)*f))**(-11) assuming f is positive.\nAnswer: f**(-2541\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99860517 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -1311273.\nAnswer: 786763.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0.319493909\nAnswer: 5.319493909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9295 and 15.319.\nAnswer: 142390.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 + 7*r - 4. Let l be f(3). Let d be (-72)\/105 + 14\/l. What is the fourth smallest value in -4, -2\/9, d, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from dadaaadaadadd?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) - 6*((sqrt(847) + -2)**2 + sqrt(847)).\nAnswer: -5106 + 209*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 5*o**2 - 3*o + 1. Let v(q) = 5*q**3 - 11*q**2 + 7*q - 3. Calculate -3*v(b) - 7*y(b).\nAnswer: -b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -779*v**5\/10 + 2377*v**3\/6 - 660*v. What is the second derivative of d(u) wrt u?\nAnswer: -9348*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 28. Let l = 2148 + -2157. Determine z(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1564 - 1564 + 8*m - 13*m. Let b(l) = -398*l**2 - l. Determine b(a(i)).\nAnswer: -9950*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -1721.\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192330968, -1192330978, -1192331000, -1192331040, -1192331104, -1192331198, -1192331328?\nAnswer: -1192331500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 127760310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 20 = -340. Let c(h) = h**2 - 5*h + 3. Let o be c(3). What is the remainder when -3*r\/o*(-9)\/(-6) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48.7 and 1621.\nAnswer: -78942.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579604?\nAnswer: 2, 47, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1250 divided by -50\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -505 - -10613\/21. Let t = r - 5\/21. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7732 - 23?\nAnswer: -7755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1080 + 177 = 3*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**2 + 26*z**2 + 9*z**2 - 55*z**2 + 28*z**2. Let l(v) = 30*v**2. Calculate l(n(a)).\nAnswer: 10830*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/120*m**6 + 0*m + 0*m**4 + 0 + 4*m**2 - 1\/3*m**3 - 1\/20*m**5. Give q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y**2 + 4*y - 6. Let w(v) = v**2 - v + 1. Let j(g) = -a(g) - 4*w(g). Find the first derivative of j(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n*n\/n**7)*n)*((n**(-2\/13)\/n)\/n)\/n*n)\/(n**(1\/3))**19*(n**(-3)\/(n**(-2\/11)*n))**26 assuming n is positive.\nAnswer: n**(-49232\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) -0.9 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 17 - 25*o**2 + 7*o**2 - 3*o - o**3 - 7*o**2 + 23. Calculate the least common multiple of 10 and w(-25).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 15*j = -o - 15, -4*o = j + 22. Let a(b) = b**3 + 5*b**2 + 2*b - 6. What is a(o)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337*v + 2*y = -332*v + 6, -v - 5*y = -42. Solve -3*n + 22 = f, -20 = n - v*f - 25 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 351503*h*z**3 + 9313*h*z + 4*z**2 wrt z.\nAnswer: 2109018*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 1393*s**5\/5 - 2*s**3\/3 + 1977*s**2\/2 + 2223. Find the third derivative of y(b) wrt b.\nAnswer: 33432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112697 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 10 - (-1 + 0) - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 637, 2\/5, 2\/79?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2. Let v(k) = -595*k + 3. Calculate t(v(y)).\nAnswer: 708050*y**2 - 7140*y + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2073538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {u: 2, o: 1, t: 1, i: 1, z: 1, f: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/11)*r\/(r\/(r\/(r\/(r\/r**13)))))**(-32\/5) assuming r is positive.\nAnswer: r**(4256\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdjjphpt. Give prob of picking 1 p, 1 h, and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2220 - 1110 - 1110 - 38*u.\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -110\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69374, 62288, 50486, 33974, 12758, -13156, -43762, -79054?\n\"Answer: s**3 - 2364*s**2 - s + 71738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37\/117 - 1\/117. Sort d, 0.3, 2 in increasing order.\nAnswer: 0.3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.30408 and 0.23.\nAnswer: 0.53408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1341154230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12590994.\nAnswer: 2, 3, 13, 337, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/18)\/(3\/(-42))*(-264)\/264?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*h + 2 = r, 2*h - 10 = -2*r. Let b = 10 - r. Suppose -5*p - 30 = -5*l, -l - 23 = -b*l - 2*p. What is the smallest common multiple of 6 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -13*i + 11*i - 11, -5*i - 40 = -5*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -7 + -7 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 183524.251 rounded to the nearest 1000?\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(-5 + 2) + 148.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126436259 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58\/4 + (-7)\/(-14). Let v be 1\/(-3 + k\/6). Let s = 61\/209 - 9\/19. Sort v, 1, s in ascending order.\nAnswer: v, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 9:36 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5872.9 + -5618. Let n = p + -288. Let o = -33 - n. Which is the closest to o? (a) 4 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-15)\/(-10))\/(1\/334). Let q = u - -123. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -0.5, -1\/6, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -670700203*a**3 + 350221327*a**2 wrt a?\nAnswer: -4024201218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2) + (-72)\/(-16). Suppose 0 = 3*c - 21 - d. Let t(g) = -g**3 + 9*g**2 + g + 10. What is the tens digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-10 + 2 - -1). Suppose 243 = 3*o + k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**5\/20 + 3*m**3 + 42*m**2. Let j(p) = -2*p**2. Calculate j(v(y)).\nAnswer: -18*y**4 + 216*y**2 - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 11. Let j be c(0). Let b = j - -25. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*n + 9 = 111*n. Let s = 30.9 + -25.9. What is the third smallest value in -2, -10, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7453 - 4334. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p - 145*p + 401 = -1383 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*r - 47, -7*r + 187*o = -11*r + 5*r + 926 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x - 3*o, 0*x + 3*x - 4*o + 5 = 0. What are the prime factors of ((-506)\/44)\/(x\/(-2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a + 1\/4*a**4 + 2\/3*a**3 + 1\/2*a**2 + 3. What is d in t(d) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 27 + 15 = 0. Suppose -2*u + 78 = 2*w, 5*w + v = u - 0*u. Calculate the smallest common multiple of 14 and u.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9849, 10002, 10165, 10338, 10521, 10714?\nAnswer: 10917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149974109\/3870 - -38753. Let y = -143167\/89010 - i. Calculate the common denominator of -47\/7 and y.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1400 and 53\/665.\nAnswer: 26600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*z + 4*k, 0 = 708*k - 712*k - 36. Factor 1\/2*t**3 + z*t + 0 + 1\/2*t**2.\nAnswer: t**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.4. Let l = 1.2 - -2.8. Which is the second biggest value? (a) l (b) -6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 24*b + 1. Suppose -5 = d - 0*d. Let p(o) = -o - 4. Let l be p(d). What is the tens digit of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -0.05 (c) -5 (d) 82\/9 (e) -258\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -8. Suppose 3*x - 2*c - 73 = -17, 0 = x + 2*c - h. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2. Let x(p) = -p + 174. Calculate -5*j(l) + x(l).\nAnswer: -l + 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + c + 5)*(21*c**2 - 44*c**2 - 6*c + 21*c**2).\nAnswer: -2*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 803232 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 + 0*r**4 - 2*r**4 + (0 + 0 - r)*(-r**3 + r**3 - 2*r**3) - 3*r + 3*r + 452695*r**4 - 452727*r**4 - 219*r**3.\nAnswer: -28*r**4 - 219*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1365840 and 73\/312192?\nAnswer: 10926720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 5. Suppose u*i - 3*g = 0, 4*g = 4*i + g - 3. Let b = -11.5 + 16.5. What is the second smallest value in b, -3\/5, i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**9)**(-20)\/(v*v\/((v**(5\/2)*v)\/v)*v)**(-34\/5))**12 assuming v is positive.\nAnswer: v**(9804\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(a - a - 4*a) + 18*a + 4*a + 3*a as d + w*a and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 48275000 to the nearest 100000.\nAnswer: 48300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -763 + -6a?\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1966144.\nAnswer: 2, 31, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 16 = -11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12737840 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41, 81, 121?\n\"Answer: 40*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 73965000 divided by -18491250\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 199582.93 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Suppose -y = -12*y + 528. Let f be ((-2)\/(-8) - (-180)\/y) + -6. Sort 1, a, -4, f in descending order.\nAnswer: 1, a, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -30. Suppose -v*c = -15*c + 36. Calculate the remainder when 21 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1538 - -1538. Let k be (2\/(-124))\/(1\/(-12)). Is x at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -7. Let w be (12\/(-232))\/(3\/a). Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20206202173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 u when three letters picked without replacement from {g: 2, m: 2, u: 7}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 2652745*y + 5305510 = 0. What is y?\nAnswer: -2, 530551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -3\/4*q**2 - 7 + 1\/6*q**3 + 0*q. Factor d(u).\nAnswer: u*(u - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 25222.7, -1 in decreasing order.\nAnswer: 25222.7, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*u**2 + 117*n*u + n + 93*u**2 + 4*u + 1 with respect to n.\nAnswer: -2*u**2 + 117*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 466.38294472 and -0.4.\nAnswer: 465.98294472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9622? (a) 0.4 (b) 3\/2 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 36\/53 (b) -6835 (c) -4 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 7*t**2 - 4*t - 25. Let o be j(8). Suppose -o*b + 1435 = -3731. What are the prime factors of b?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1385 - -610. Let c = k - -883. What is the greatest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 6*k**2 - 4*k - 11. Let x be n(-6). Suppose -2698 = -x*i - 449. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929367 is divided by 390.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.717409 - -9.5.\nAnswer: 7.782591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1590 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 305.27?\nAnswer: 309.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3)\/h*h)\/(h*h*h*h\/(h**(-6\/5)\/h)))**(-2\/45)*((h\/(h*h**(1\/5)))\/h)**12*(h**(-1))**(-11\/5) assuming h is positive.\nAnswer: h**(-8039\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 474510*j*x**4 + 141580*j wrt x?\nAnswer: 1898040*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 494375 and 24521.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 3 (c) 5 (d) 16 (e) -4 (f) 154 (g) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - -5.9. Let c = -98 - -100. Let l be -2*(2 + -3 - -3). Sort j, c, l in increasing order.\nAnswer: l, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9932, 79588, 268654, 636836, 1243840, 2149372?\nAnswer: 3413138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332399.5 rounded to the nearest 1000?\nAnswer: 332000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Calculate the least common multiple of 4 and -6 - -6 - j\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 + 13*z**2 + 785*z + 55*z**2 - 521*z.\nAnswer: 4*(z + 4)*(17*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3707, 0.5, -3.3, 72, -1 in increasing order.\nAnswer: -3.3, -1, 0.3707, 0.5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*b**4 - 208*b**3 - b**2 - 2421*b + 91 wrt b?\nAnswer: 792*b**2 - 1248*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155480001.\nAnswer: 3, 1061, 48847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 238 = 2*y - 0*a, y = -4*a - 124. Let l be y*2*(-4)\/16. Let w be l\/(-126) - 33\/77. Is w >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (621*q + 708 - 139 - 616*q)*(1 - 1 - q).\nAnswer: -5*q**2 - 569*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/3 and -4 + 54\/6 + (-10)\/472*223.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25430 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324474037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + y = 1, 2*w - 14 = -2*y. Let h(x) = -x + 44. Let m be h(15). Solve d + 4*b = -13, 0*d + w*b + m = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 11*a - 9. Let t be p(10). Suppose 2*u - 5 - t = 0. Suppose u*s - x = 24, -4 = -s - 0*x - x. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14047, -28055, -42073, -56107, -70163, -84247, -98365?\n\"Answer: -t**3 + t**2 - 14004*t - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**3 - 2*u + 3. Let a(q) = 9*q**3 - 3*q**2 + q + 1. Let m(j) = 46*j**3 - 16*j**2 + 6*j + 4. Let n(o) = 16*a(o) - 3*m(o). Calculate 4*n(v) - 5*t(v).\nAnswer: -6*v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*q - 181*f + 4774*q + 8 with respect to q.\nAnswer: -2*f + 4774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 23*f - 90. Let h be q(4). Let k(g) be the second derivative of 0*g**h - 1\/21*g**7 + 0*g**3 + 0 - 2\/15*g**6 + 0*g**4 - 6*g - 1\/10*g**5. Factor k(l).\nAnswer: -2*l**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-7))\/((-4)\/70). Let h be (-713)\/46*(-3 - -1). Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250638703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -3 (c) 16870 (d) -100 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k\/(k*k**(-2\/13))))\/k)\/k)\/(k\/(k\/(k*k\/k**(-2\/37)))))\/(((k*k*k\/(k*k**(3\/5)))\/k)\/(k\/(k\/(((k*k\/k**(-4\/5))\/k)\/k)))) assuming k is positive.\nAnswer: k**(-9158\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + j - 8 = -3*j, 5*v - 11 = 3*j. Suppose -4*m = 4*c - 2*m - 22, -v*m + 26 = 2*c. Suppose 16 = c*o - 4*s - 41, -s = -2*o + 43. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5436885516?\nAnswer: 2, 3, 331, 1368803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-3 + 2 - -4). Suppose -s*q = -11*q - 112. Suppose 3*x - 2*b = q, -4*x + 36 = -b - 8. Calculate the highest common divisor of 132 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*t + 25, -2*t = h + 3*t - 31. Calculate the greatest common divisor of 66 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 1\/4, -2.8, 3\/4.\nAnswer: -2.8, -5\/3, 1\/4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -245519 - -364878. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = -4*q. Suppose -133 = -5*l + q*j, 3*j - 24 - 6 = -l. Calculate the remainder when 106 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25408b (base 14) to base 13\nAnswer: 35a104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1040320?\nAnswer: 1040324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*z + 96*z - 235*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 15*v - q = v, -2*v - q = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 4*k + 8. Calculate i(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 g when four letters picked without replacement from fffgftffgggtf?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60639 and 82650?\nAnswer: 57607050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1872555 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73914069 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -18. Let p = -4 + n. Solve 0 = -d - p*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 49\/24*o**4 + 1\/120*o**6 - 97*o**2 + 0*o**3 + 7\/30*o**5 + 0*o - 1. Let q(s) = 0. Calculate s.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -78. Let z be 1\/(-2) - -1 - (144\/32 + 0). Sort z, v, -1, 2.\nAnswer: z, -1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/((-27)\/6*6\/(-36)). Let y be 3\/9 - t\/12. Sort y, 0, -3 in decreasing order.\nAnswer: 0, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5\/15 + 122*v**4\/15 - 7772*v**3\/5 + 845308*v**2\/15 - 8962286*v\/15 - 655402 = 0?\nAnswer: -155, -1, 31, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 15*o - 119. Does 25 divide j(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 44. Let n be o(-20). Solve 0 = 4*b - 5*f - 3 + 5, -3*b - n*f = 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 divided by -10812?\nAnswer: 511\/5406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 12, 1, -0.5 in descending order.\nAnswer: 25, 12, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6 + 6 = 0. What is the nearest to -0.1 in w, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five quarters of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 41314.\nAnswer: 206570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 69*y**2 - 7*y - 106*y**2 + 5*y.\nAnswer: -175*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rayr when four letters picked without replacement from {y: 8, a: 2, g: 1, l: 1, c: 2, r: 3}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 43. Suppose -3*g - 3972 = -3*a + p*g, 0 = 2*a + 3*g - 2648. Suppose -2*i - a = -6*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dftardk. Give prob of sequence fkr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 19. Let d = 29 + o. Which is the closest to d? (a) -22 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + 27d6a?\nAnswer: 27d7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1011220021011102?\nAnswer: -1011220021011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 2*s**3 + 2*s**3 - 65*s**3 - 256*s**3 - 121*s**3 + (-s - 2*s + s)*(5*s**2 - 19 + 19) to the form u + o*s**2 + p*s + a*s**3 and give a.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 30. What are the prime factors of p(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -38. Suppose 59*q - 440 = 39*q. What is the lowest common multiple of l and q?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.3 (b) 4 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -43) + 51 + 4 + 16 - 10.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -3344.568.\nAnswer: 26756.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349139 is divided by 37.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1189*y + 4667*y + 269745 = 3475*y - 5326*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/((-33)\/(-6864)). Let y = 202 - q. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399 divided by -19.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**6\/120 - z**4\/12 + 5*z**2. Is l(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41c99 (base 15) in base 9?\nAnswer: 347270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**3*o - 40*n**3*u**2 + 21*n**3*u + n**2*o*u + 4*n*o*u**2 - o wrt u?\nAnswer: -80*n**3 + 8*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/1742 and 83\/4095.\nAnswer: 548730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 19. What is the units digit of h\/4 - (-26)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0*f**6 + 0*f**5 - 6*f + 0*f**2 + 0 + 0*f**3 - 1\/7*f**7 + 1\/12*f**4. Find the third derivative of b(z) wrt z.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 883217640 and 2?\nAnswer: 883217640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/4 + 2*p**3 - 3*p**2\/2 - 5*p - 3. Calculate n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132653 is divided by 132636?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436856 and 45472.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -493*g**3 - 255*g**2 - 11*g. Let y(r) = 165*r**3 + 85*r**2 + 4*r. Let m(k) = 4*c(k) + 11*y(k). Find the third derivative of m(b) wrt b.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 718 = -4*i, -4*t - i - 11 = -231. What is the remainder when t is divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Round 0.00000552 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 10*x - 5. Solve 4*h = 5*d - 0*h - 23, x = 3*h + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -5*s - n, -3*n - 2*n + 79 = 2*s. Let z = -337 + 343. Solve s*t - z = 50*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z + 174. Let n be u(22). Let v be 8\/(n\/45) + -7 + 8. Do v and -79\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 - 0.3. Let f = b - 4.6. Round f to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/21, 251?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000318921 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158512 is divided by 35103.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 61 + 3 = 0. Let g be -2*(-4)\/n*8. Let i(b) = b**2 - 3*b + 3*b**g + b**3 - 5 + 2*b. What is i(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {e: 2, r: 1, d: 4, j: 2, a: 1, t: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 161*u + 31 = -156*u, 5*u - 33 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i + 81. Determine u(-20).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(66)*-2*5 - (-1*sqrt(66) + sqrt(66))*-2)\/(sqrt(24)*-4 + sqrt(6) - sqrt(24)\/(sqrt(12)\/sqrt(3))))**2.\nAnswer: 2475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + (4 - 15) + 36 - -10.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**4*n**2 + 57647*k**4*n - 7*k**2*n**2 - 1379*n**2 wrt k?\nAnswer: 24*k*n**2 + 1383528*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*n + 39 - 211 - 146. Put 14\/9, n, -4 in decreasing order.\nAnswer: n, 14\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 293265.9 hours to days.\nAnswer: 12219.4125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2768 by 4.\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**2 + 65*r**2 + 47*r**2.\nAnswer: 86*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20010*s = -20015*s - 30 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**5\/390 + 2*m**4\/39 - 7*m**3\/39 - 3*m**2\/2 + 22*m + 22. Let f(p) be the second derivative of h(p). Factor f(v).\nAnswer: -2*(v - 7)*(v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + -1)\/((-6)\/20). Let q = 75 - 63. Let m = u + q. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4905, 9808, 14711, 19614?\nAnswer: 24517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1699*c = 14099 + 101433 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.03 + 38. Let o = p - -0.01. Let y(x) = 2*x**2 - 67*x + 34. Let d be y(33). Which is the nearest to -2? (a) d (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 10:25 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 14 = x, -5*x + 53 + 3 = 2*q. Let u = x + 3. Is 11 a factor of (-3)\/u - 828\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = -i, -i + 0*u + 2*u = -4. Suppose -3*n + 3*p - 6 = 0, -2*p - i + 5 = -3*n. Solve 0 = -5*v + g + 19, 3*g = -n*v + 2*g + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) - (sqrt(405) - (sqrt(405)*3 + -1))) + -1)*-1)**2 + 1.\nAnswer: -108*sqrt(5) + 3650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.34388 plus -5728.39?\nAnswer: -5765.73388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4843 + 8704. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b + 33. Let s(x) = -3*x - 12. Let j(v) = 4*n(v) + 11*s(v). Let a(h) = 303*h. Determine a(j(o)).\nAnswer: 2121*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -44\/4919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*t - g, 74 = 3*t - 4*g - 4. Suppose -20*u = -t*u - 690. Let r = u + 143. Calculate the greatest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 139110951 and 69825.\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5623.581 + -6845.34. Let o = g + 1192.55473. Let y = 29.2 + o. What is y rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a micrometer in nanometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 132 = -4*m, -6*m + 3*m = -2*h - 96. Sort 5, 2, m.\nAnswer: 2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 + 8*c**2 - 4*c. Calculate g(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 562 + -567. What is the closest to 0.1 in 3, -1, l, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78327007 a multiple of 1483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 8*l**2 - 12*l + 11. Let c be y(5). Is 9\/49 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2028 divided by -39\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9801374381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 + 167. Find the common denominator of 173\/(-80) - (2 + b)\/(-2) and -21\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**5\/10 + 3*l**2 - 2. Let v(w) be the second derivative of z(w). Let g(x) = -2*x. Give v(g(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(720)*3 - (2*(-2 + sqrt(720)) + sqrt(720)))**2 + 5.\nAnswer: 576*sqrt(5) + 25941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:02 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102233113 (base 4) to base 12.\nAnswer: 24b9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3934 a factor of 25676641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28198 + -3171. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*o - 18 = 0, 4*o + 0 = 2*w - 30. Suppose -2*c - x = -4*x - w, -4*x = -5*c + 29. Suppose 78*m - 73*m = 0. Solve c*n + 20 = -m*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -3. Let k = -10 + 18. Let j = k + l. Which is the smallest value? (a) 4 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7903 + 11547096\nAnswer: 11539193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 21*c**2 + 1. Suppose -2*f = -2 - 2. Let i be (-1 - -2)\/(3 - f). Let k be o(i). Calculate the highest common divisor of k and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -473.80506 + 1.07506. Round j to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 = -32*m + 650 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3546966369 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/108 + 0 + 31\/(-9). Let s be (3 + -1)\/((-2)\/(-201)). Let h = s - o. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4427*m - 1707*m - 222864 - 40922 = 141058 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p + 16*p - 355 = 265 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*b**3 - 2*b**2 + 5*b**2 - 5*b**2)*(b + 3*b - 6*b).\nAnswer: 82*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -2 in descending order.\nAnswer: 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12412 = -70*u + 74*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*k**2 + 2*k*r - 3*k*s**2 + 3*r + 3*s**2 + 328 wrt k?\nAnswer: -102*k + 2*r - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*m + 10 = 0, -2*m = 5*q - 4 - 13. Suppose -2*p + 326 = 4*y - 0*y, -5*y - 478 = -q*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/9*(-1608)\/268?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*d**3 + 18144*d**2 + 4542*d + 284.\nAnswer: -2*(d - 142)*(8*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 34 - 11*s - 18 - 4*s in the form r*s + x and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18*h - 1. Let s be o(3). Suppose s - 1219 = -2*a. Let n = a - -717. Round n to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.2 - -22.3. Let f = d - 18.2. Round f to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 3*v**2 - v + 8. Give y(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -18*f**2 + 11 - 7*f - 9*f**2 + 28*f**2. What is the tens digit of k(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 26*j + 16. Let u be h(25). List the prime factors of 81\/u*-1*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -38*o + 255 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*n + 75. Calculate the highest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 39.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53232.47 + -52949. Round o to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 13*m + 1675 = -16*m, 2*m - 1005 = -3*p. What is the remainder when p is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2163 = k - 0*k + 2187 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, 15, 80, 215, 444, 791?\n\"Answer: 4*n**3 - n**2 - 6*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - n**2 - 2 + 14)*(-3*n + 4*n + 3*n) + 2 - 12*n**3 - 7*n**3 - 4.\nAnswer: -23*n**3 + 52*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prt when three letters picked without replacement from pptprpprptptr?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s. Let k be b(-2). Let q be 1 + 0 + 1 + k. Is 7 a factor of ((-28)\/8)\/(2\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -2.1?\nAnswer: -27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by -12.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(450))\/sqrt(10)*1)\/(-4*(2*sqrt(900) + sqrt(9))).\nAnswer: -sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -181*c**2. Let s(h) = -1. Let x(b) = -3*b + 4. Let i(p) = -4*s(p) - x(p). Determine z(i(r)).\nAnswer: -1629*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 23.7.\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1584 and 4059?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 800 and 800 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18\/7 - -41\/210. Let b = i + -13\/5. What is the second smallest value in b, -1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/20, 8\/3.\nAnswer: -3\/20, 0.4, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1214 - 374. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -22, -31, -44, -61, -82, -107?\n\"Answer: -2*v**2 + v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 142121432?\nAnswer: 142121433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5121568513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175926 and 9684?\nAnswer: 1055556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 + 477 = -54*l + 37 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*y**2 + 2*y - 98*y**3 + 92 - 15*y**2 - 2*y**4 + 98*y**3 to f + j*y**4 + z*y + s*y**3 + a*y**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15*(((-656)\/(-6) - -5) + -5).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l + 11*l + 406. Let s = 13 + l. Calculate the common denominator of 83\/14 and (-2070)\/s + (-1 - -2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**(-17)*u*u\/(u**(3\/4)*u)*u*u**(-1\/6)*((u\/(u\/((u*u**(-1\/6))\/u)))\/(u**(-1\/3)\/u))\/((u**(-3\/5)*u)\/u**(2\/5)) assuming u is positive.\nAnswer: u**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 25*v**2 - 175*v + 90. Give i(-18).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8629948.8 seconds in hours?\nAnswer: 2397.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 6*g**3 - 6*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (150\/(-8))\/(1\/(-500))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 31944255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3928 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-6) + (-2)\/(-4). Suppose 0*s - k*v = -s + 29, -3*v - 189 = -5*s. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230458 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4166782146 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000203874856 to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*b + 256, -2*b - 4*z + 118 + 50 = 0. Calculate the remainder when 1030 is divided by b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1648 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 - ((-1085)\/(-147) - 7). Factor -10\/7*q**2 - 12\/7*q - o.\nAnswer: -2*(q + 1)*(5*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/(14 + 11775\/(-840)). Solve g*u = 17*u + 117 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1488\/528 + (-2)\/(-11) + 6 + 2. Solve y - 4*d + z = 0, -5*y - d - 7 = -5*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 906 + -532. Suppose 4*x - 434 - i = 0. Is (-3 - (-44)\/8)*x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361205, -722368, -1083531, -1444694, -1805857?\nAnswer: -2167020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 + 3. Suppose 7*k - 10*k = 4*d + 17, -k = -2*d + 9. Which is the nearest to d? (a) 3 (b) 1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32, -135, 0, -13, -5 in descending order.\nAnswer: 1, 0, -5, -13, -32, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -11*a**2 + 0 + 13\/24*a**4 + 0*a - 5\/6*a**3. What is the first derivative of x(n) wrt n?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 7 + 2 - 9 + 13*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(5 + sqrt(245) + 1) - (sqrt(245) + -2 + -2*sqrt(30)\/sqrt(6))) + 0.\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -96*q**4 - 4084*q**3 + 10592*q**2 - 1260*q = 0?\nAnswer: -45, 0, 1\/8, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q)**(-7\/3)*q**5\/q**7 assuming q is positive.\nAnswer: q**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**8\/40320 + j**7\/2016 + 73*j**5\/30 + 8*j**2 - 8*j. Let d(y) be the third derivative of q(y). Factor d(a).\nAnswer: a*(a + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -3*l**6\/40 - l**5\/60 - l**4\/3 - 4*l**3\/3 - 12*l**2 - 3*l. Let z be w(-1). Solve 2*x = -z, 4*x = 2*i + x - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1918083172.\nAnswer: 2, 479520793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.04559 - -0.06359. Round n to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 3\/(15\/(-35)). Suppose 89 + 11 = t*k. Calculate the lowest common multiple of k and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/12 + 2*i**3\/3 + 3*i**2 - i. Let p(v) = -v**3 - 22*v**2 - 21*v + 5. Let z be p(-21). Give o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365109.6 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 take away -494?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**5\/10 + 433*v**3\/6 + 125*v**2 + 21*v + 6. What is the first derivative of f(m) wrt m?\nAnswer: 6*m**2 + 433","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w. Let f(h) = -221*h. Give -5*f(p) - 51*y(p).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 70 = 6*i + 32, 3*m + 33*i = 28*i - 137 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 33. Does 18 divide i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.441, 0.03, -3 in ascending order.\nAnswer: -4.441, -3, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -3\/7, 7, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:50 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*l - 21, 5 = -l + 9. Solve 0 = -2*i + q*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + ba1b9?\nAnswer: ba1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 518 and 408776?\nAnswer: 2861432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 + 141. Do s and -1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*h - 24. Find the second derivative of -5*x**5 + 3 + 5*x - h + 1 wrt x.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2559732\/(-77))\/(-4) + (-8)\/(-44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4070213538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31517652430.298 + 3.\nAnswer: -31517652427.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.074 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -109*k - 103. Let o(w) = 2*w + 1. Let r(p) = h(p) - 4*o(p). What is the first derivative of r(t) wrt t?\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156104 - 345104. What is u rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000578 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13238419 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 4. Let v(o) = -4*o - 7. Let l(q) = 7*m(q) + 4*v(q). Let u(h) be the second derivative of -17*h**3\/6 + 3*h. Give u(l(p)).\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h - 45*h + 160 = 0. Find w such that -12\/7 - 4\/7*w + 16\/7*w**h = 0.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/4)\/(40\/250048) - (-352)\/(-440). Calculate the greatest common divisor of 44 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10435571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 25 - (16 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + 12. Let 2*s + w*s**2 + 0*s**3 - 10*s**4 - 2*s**5 + 6*s**4 + 0*s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -2*t - 47. Suppose t*u = 2*k - 179, -112 = k - 2*k - 3*u. What are the prime factors of k?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c261 + -5535?\nAnswer: -24796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4 - (232200\/288)\/75?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43691*q**4 - 45412*q**2 + 3*q + 3 wrt q?\nAnswer: -1048584*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 22. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8\/5, -1376\/7, 9?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(7\/9) assuming c is positive.\nAnswer: c**(14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21 - (-2)\/2)\/(20\/50). Let g = p + 50. Solve -3*y - 6 = -g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45460?\nAnswer: 2, 5, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {q: 2, f: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 233171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3 + 3 - 23*i - 19*i to d + a*i and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214 + -211. Suppose p*q - 4*m = -0*q - 1, 0 = 5*q - 3*m - 2. Find x, given that -17\/4*x**2 - q - 4*x - 5\/4*x**3 = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/24600622 and -17\/12.\nAnswer: 147603732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 65676136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 51 - (-84 - (-159 - -79))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -2742341?\nAnswer: -2742335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {z: 2, h: 5, x: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 d when three letters picked without replacement from {d: 1, y: 2, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*d + o, 2*o - 24 = -4*d + 5*o. Let i be (1 - d - 1)\/(-2). Suppose 0*z - 16 = -3*z - 2*t, -z - 13 = -i*t. Which is smaller: 18\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*r - 1588*r - 342*r - 162770 = 2300*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -106 (b) 104 (c) -0.1 (d) 0.4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccii when four letters picked without replacement from {i: 7, c: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 4. Let o(a) = 4*a + 5. Suppose 5*c + u = 28, 3*c - 3*u + 29 = 7*c. Let k(b) = c*o(b) + 6*n(b). Determine k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933383292?\nAnswer: 2, 3, 1823, 42667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -631 + -2560052?\nAnswer: -2561013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -261 divided by -129186\nAnswer: 29\/14354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161434229*x**3 - 48029*x**2 + 645*x wrt x.\nAnswer: -968605374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 7*s + 65 - 17 + 4*s)*(4 - 1 - 1).\nAnswer: 22*s + 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (498918\/(-6788))\/(6\/(-4))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6288 = 15*l + 1053. Suppose -5*g = t - 4*t + 491, -2*t + l = g. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-11 + 23) - (-34 - (-3 + 3)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(22)\/(sqrt(4)\/sqrt(2)*-3).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 14\/(-10))\/(13\/(-5)). Which is the closest to 2\/5? (a) f (b) -0.28 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 6:01 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 61 = -4*k, 0*f - 12 = -4*f. Let i(p) = p**2 + 28*p - 89. Let w be i(-31). Solve 7 = 3*b - o, w*b - b = -2*o + k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -16334343?\nAnswer: -5\/16334343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -39bc2?\nAnswer: 39bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woqoqowq. What is prob of picking 2 o?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2))**31)**(1\/83)\/((k\/(k\/(k\/(k\/(k**(1\/2)\/k*k))))*k)**(5\/11))**(-2) assuming k is positive.\nAnswer: k**(2149\/1826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 46. Let t = n + 36. Which is the third smallest value? (a) 1 (b) t (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = -f + 7, -j = 4*f - 34. Let y be (-2 - (-15)\/f)*-9. Suppose 2*s = 3*k - 18, -7 + 0 = -4*k - y*s. Solve 1 - k = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1504*f**3*t**2 - 2*f**3 + f**2 + 9*f*t + 143*f - 43183*t**2 + 3*t - 47 wrt t?\nAnswer: -3008*f**3 - 86366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156133?\nAnswer: 43, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2769 is divided by 2637.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/p)**(-18) assuming p is positive.\nAnswer: p**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144 - 140. Let v(i) be the third derivative of 0 + 5*i**2 - 1\/6*i**p + 0*i - i**3. What is v(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907878 is divided by 74.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k**(-20)*k)*k))**(3\/22)\/(k\/(k\/(k**(1\/11)*k)*k*k))**(-49) assuming k is positive.\nAnswer: k**(-1043\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.29 + 0.289999942. What is n rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4976)\/(-1866) + 2\/6)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8020 is divided by 223?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 670310, 670325, 670340, 670355, 670370?\n\"Answer: 15*o + 670295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.77 + 1.9. Which is smaller: w or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749289437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1655, 1715, 1801, 1925, 2099, 2335, 2645, 3041?\nAnswer: 3535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-8) - 6)\/((-2)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 4:23 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - x - 14 = -4*x, 15*y + 14*y = 3*y - 4*y - 11*x + 128 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 + 54024*b + 40552588 = 0. Calculate b.\nAnswer: -713, 14219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/c**15)\/((c**(-17)\/c*c)\/(c*c**(1\/6)\/c)) assuming c is positive.\nAnswer: c**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*a**6 - 17*a**5 - 36*a**2 - 18.\nAnswer: -2040*a**3 - 1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109620957.\nAnswer: 3, 29, 1260011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllululllullll. What is prob of sequence lluu?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8341)\/19 + (-16)\/4. Let f = d - -446. Solve 2*k = 2*c - 20, -f*c = -6*c - 5*k - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808579.\nAnswer: 17, 191, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -14*c. Let w(z) = 5*z. Suppose 0 = n + n - 6. Let i(r) = n*g(r) + 8*w(r). Let q(u) = -3*u**2. What is i(q(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*z - 0*x + x, -z = 2*x - 6. Let b be (1\/(-3))\/(2\/(-282)). Suppose 8*o - z*o + 40 = 4*f, 2*o = 5*f - b. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332*0.054.\nAnswer: 17.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 14, 14\/5, -4\/9, 1\/3, 0.5, 0.273?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 687, 628, 529, 390, 211?\n\"Answer: -20*a**2 + a + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*q - 4408 - 3900, -8299 = -4*s + q. List the prime factors of s.\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 48 = -21. Let y(o) = o**3 - 3*o + 3. Calculate y(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4\/17*u - 8\/17*u**3 - 2\/17 + 14\/17*u**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/9 + 3\/6 and -35\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012111222112012 + -102?\nAnswer: -1012111222112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/10)\/((-4)\/(-90)). Let r = -21 - h. Sort r, 4, -4.\nAnswer: -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131535 (base 7) in base 11?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*90\/6*(-10)\/(-150).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 39957426\nAnswer: -1\/39957426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1004*b**3 - 6*b**2 - 19*b - 7. Let x(u) = 2*u**3 + u**2 + 3*u + 1. Give -k(o) - 6*x(o).\nAnswer: 992*o**3 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**4\/4 - c**3 - 2*c**2 - c + 227. Let k(q) = 2*q - 2. Let n be k(5). Suppose -b = -3*b + n. Give p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12723 - 6651?\nAnswer: 4052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46.7? (a) 3\/2 (b) -10 (c) -0.1 (d) 0 (e) 2 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-179478)\/22815*(2 + (-3)\/(-6))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**7\/5040 + m**5\/30 - m**4\/24 - 24*m**2 + m. Let j(t) be the third derivative of n(t). Let f(p) = -12*p**2. What is f(j(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 105 + 66 - 170. Let r(c) = 2*c - 7. Let l be 0*(2\/4)\/1. Let b = 1 - l. Determine b*r(k) + 6*d(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 + -4 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.28615285 >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7348077 divided by 2749.\nAnswer: -2673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in minutes?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ybzmzznymtybynm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -423 (b) 5 (c) -1.8 (d) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3080614.\nAnswer: 2, 769, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 65.26201 decades?\nAnswer: 6.526201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 4*u**2 - 8*u - 2. Let l be s(-2). What is the highest common divisor of l and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**5 - 5404*q**4 - 1274520*q**3 + 7842528*q**2 = 0.\nAnswer: -1044, -313, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11111110 (base 2) to base 3\nAnswer: 100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.29193 - -6.982. Let x = -8.6 - -8.91. Let q = x + y. Round q to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 3*d, 2885*q = 2888*q + 2*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25673757 and 4530663.\nAnswer: 77021271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-6\/13))\/q)\/(q\/(q*q\/q**(-16))*q))**(-20) assuming q is positive.\nAnswer: q**(-4040\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 4*r - 18, 11 = -4*v + 4*r + 27 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a - 8. Calculate the remainder when 71 is divided by t(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -46565?\nAnswer: -46563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 6*a**2 - 2. Let d be v(6). Let j be (-10 - -7)*2\/d. Calculate the greatest common factor of 33 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (sqrt(704) + sqrt(704)*2 + 3 + sqrt(704))) + sqrt(704))**2 - (-1 + sqrt(704) + 1).\nAnswer: 88*sqrt(11) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559430 divided by -13?\nAnswer: -1559430\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/50 and 41\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 17*v + 75. Let o be f(6). Suppose 0 = -o*s + 1546 - 556. What is the greatest common factor of 66 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v - v)*(-4*v**3 + 0*v**3 + 5*v**3) + (2 - 2 + 2*v)*(-4*v**3 - 13*v**3 + 5*v**3) - 13*v**3 + 31*v**3 - 3*v**4 - 12*v**3.\nAnswer: -28*v**4 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2753 - 1159 = 0. Let p = -564 + s. Does 13 divide p\/4 - (-4)\/16*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130284 by -462.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (4\/(-16) + 52\/208)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, u: 3, f: 4, s: 2, x: 1}. What is prob of picking 2 r and 1 s?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 4. Let g = -4 + 7. Let u be 8\/3*(-2)\/(-24). Which is the second smallest value? (a) g (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.83 - 1.5. Let j = f + 5.17. Let b = j - 4.58. Round b to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12*y**2 - 2 - 1.\nAnswer: -12*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*u\/(u**16*u))\/u)\/u**(-22))\/((u*u*u**(1\/4))\/u)**(-1\/5))**19 assuming u is positive.\nAnswer: u**(551\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6871 - -6879.521. What is v rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 1 + 1)*(5 - 1 - 5) - 2*r + 0*r + r + 2*r + r - r + (-3 - 1 + 5)*(0*r + 5*r - 4*r) + 2 - 2 + 2*r as j*r + v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 0.3, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12717 is divided by 153?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*b - 17 = 19, 0 = -k + 8*b + 39. Solve -15*n - k*n = -20*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -536354 + 973623. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*t**3 + 11*t**3 + 2*t**2 - 6*t**2 - 3*t**2 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/1009, -3, 2, 1\/11, 0.2, -589?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117125501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 15. Let r be f(14). Put r, 1, 7 in decreasing order.\nAnswer: 7, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2034411012 (base 5) in base 9?\nAnswer: -7835708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284 and 266108?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -70. Let v(o) = -3 + 0*o + o + 5. Determine v(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1472*q - 22005 = -1961*q for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b + 12 = 156. Put b, -62, 0 in descending order.\nAnswer: b, 0, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -23 + 1 + -6 + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74598 - 13?\nAnswer: 74585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 + 3*q**4 + 6*q**4 + (5*q**2 - 2*q**2 - 2*q**2 + (7*q - 5*q**2 - 7*q)*(-1 + 6 - 3))*(2*q**2 - q**2 + q**2).\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -420.057 + 0.057. Let k = -420.5 - c. What is the closest to 1 in k, -0.04, -2\/5, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12572 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 51918?\nAnswer: -51933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 28 = -5*c, -c = 25 - 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1431 - 776. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 123*a - 38*a - 41*a + 162 - 45*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 1382*z**2 - 4978*z\/3 + 832\/3 = 0. What is z?\nAnswer: 416\/2073, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1757 + 3509 - 1754 - 2*f.\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.26463979 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 + 4*r - 4. Let m be d(-5). Which is bigger: -2\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -4*y**7\/21 + 3*y**3\/2 + y. Find the second derivative of z(h) wrt h.\nAnswer: -160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 5*r = 9*p - 1106, r = 2*p - 2230. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -570133*-1\nAnswer: 570133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 1. Let n = 25346 - 25342. What is the closest to -2\/3 in q, n, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187356490?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -35.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12263, -98036, -330855, -784244, -1531727, -2646828, -4203071?\n\"Answer: -12254*d**3 + d**2 + 2*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -5*c**4\/4 - 5*c - 4. Let x(z) = 2*z**2 - 8*z - 14. Let t be x(-10). Let o(b) = -t*b - 4 + 4 + 268*b. Calculate o(l(a)).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r - 17 - 3*r + 2*r**4 + 13*r**4 wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/33 and 42\/19?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*h**2\/3 + 56*h + 48.\nAnswer: (7*h + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**9\/60480 - l**8\/1440 - 7*l**7\/720 + 13*l**5\/30 - 2*l**2. Let h(a) be the third derivative of k(a). Factor h(r).\nAnswer: -r*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12 - 37 - 29 + 0*c - 17 + 14*c. What is the lowest common multiple of 33 and f(7)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -120*p**3 + 6*p**2 - 2*p - 3. Let o be r(-1). What is the derivative of 78 + 41*n**2 - 61*n**2 - o*n**2 wrt n?\nAnswer: -290*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164 - 93. Let s = -46 + h. Let b = 42 - s. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) -1 (c) 136 (d) 2\/3 (e) 44 (f) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p*p**(-1\/2))\/p*(p\/p**8)\/p*(p**(-2))**11 assuming p is positive.\nAnswer: p**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15*10.8\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 550 and 65?\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2)*(0*x - 5*x - 5*x) + (0 - 2*x + 0)*(-4 + 3 + 3).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 2*m**2 + m - 2. Let h(x) = x - 8. Let o be h(10). Let z be b(o). Is (1 - z) + (-1)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h*k*z + h*k - 2*h*z**3 + 28*h*z**2 - 21*h*z + 2*k*z**2 wrt z?\nAnswer: -12*h*z + 56*h + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 11, 214, -1.\nAnswer: -3, -1, 1, 11, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 * 12015.6\nAnswer: 7329.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 7:34 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19951*t**2 + 224*t**3 + 19951*t**2.\nAnswer: 224*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 - 64. Does u = 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0.1, -0.073, 3\/31, 4?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.32 - 16.32. Let h = i - -101. Let n = h - 85.037. Round n to three decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 3, -11, -0.1 in increasing order.\nAnswer: -11, -0.7, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-3) + (-16 + 21 - -4). Factor -3*q + 1\/3*q**4 - d*q**3 + 5*q**2 + 0.\nAnswer: q*(q - 3)**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335089440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(1 - -2)*1. Let s = -10 + 16. Let k be (2\/6)\/(s\/9) - 0. Which is the closest to x? (a) -4 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 81*u + 4*u + 1411 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 11028\/(-5517))*(-54)\/36. Let c = u + 3689\/6743. Is 0 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 + -104. What is the second derivative of -7*p + 5*p**2 + 2*p**s - 8*p - 3*p**2 wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 23682.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*k - 9*k = -14*k - 376 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -796, -1594, -2392, -3190?\nAnswer: -3988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 h when three letters picked without replacement from qgqqugmgghmqhooooqq.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 39 = -3*s. Suppose 13 = q - 5*j, 1 = 5*q + 2*j - 10. What is the remainder when ((-9)\/(-6))\/(q\/104) is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226329 equal to 3226328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14711425 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -16 + (-14 - (-5 + 8))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 i, and 1 a when four letters picked without replacement from iusyisauyuyyyusuuyu?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7890827 and 707?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-202)\/(-7))\/((-7)\/(-49)). Suppose 440 = 2*o - y. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/2287 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + b. Let d(s) = 16*s**2 + 8*s + 4. Determine 10*a(m) - d(m).\nAnswer: 4*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-5\/2)*x)\/(((x**(-13)\/x*x)\/x)\/x)*x\/(x**(1\/5)*x)*x**(-1\/5))**(-12) assuming x is positive.\nAnswer: x**(-1146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/9 (b) 4.6 (c) -430\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 2*f**2 - 2*f - 1. Let m be y(-2). Let p be 0 + (m + -4 - -3). Suppose -p = -3*r + 7. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -40.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 415 = -437 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2768)\/260)\/(12\/(-10)). Let d = 2765\/234 - t. Find the common denominator of 94\/(-12) + (-2 - -4) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 318 - 310. Let c(u) = -5*u + 47. Let f be c(h). Solve f*o + 20 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d8254 + -7e?\nAnswer: -1d82d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/128 and -53\/96?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**4 - 5*u**4 - 5*u**4 + 21*u**2 + u**4 wrt u.\nAnswer: -264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11923169*o**6 + 2*o**2 - 5673*o + 53 wrt o.\nAnswer: -1430780280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -5\/3, 110, 3, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91943.7t to grams.\nAnswer: 91943700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21.8999 (b) 4 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -159833*u**3 - 68106.\nAnswer: -479499*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210061 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 - 210*w - 3675 = 0 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10898 - -10853.048. Let d = m - -45. Let y = d + -0.038. Put -4, 0.1, y in descending order.\nAnswer: 0.1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x - 2. Suppose 7*h + 1 = 4*h + 2*v, -h + 4*v + 13 = 0. Let a = -6 - h. Calculate w(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -16, -2937, -14, -2, 3 in ascending order.\nAnswer: -2937, -16, -14, -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/15 - 883\/(-15) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/55)\/w*w\/(w**1*w) assuming w is positive.\nAnswer: w**(-112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/25182 and 89\/10398?\nAnswer: 43640406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 615 and 297 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622.6 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/35)\/((k*k**(2\/19))\/k)*(k**10)**(2\/27) assuming k is positive.\nAnswer: k**(10384\/17955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5\/m**(-15)*m**18*m*m**18 assuming m is positive.\nAnswer: m**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -36313.40135 rounded to zero dps?\nAnswer: -36313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2343 is divided by 218.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/3)\/1)\/((-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n - 145 = 0. Let z = 216 - n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (804\/36)\/((-2)\/(-6)). Suppose 15*k - z = 14*k. What are the prime factors of k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**8\/1176 + 4*v**7\/735 - v**6\/84 + v**5\/105 - 3*v**2. Find x, given that z(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-176)\/7904985*18\/20. Let r = b + 196001708057\/21559050. Let k = -9087 + r. What is the common denominator of k and -83\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636, 2527, 5678, 10089, 15760?\nAnswer: 22691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3812612741\/136 + -28034076. Let b = j - -857\/17. Let v = b + 213\/2. Find the common denominator of -24\/5 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.1792598 and 31387.\nAnswer: 31391.1792598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 5. Let h be m(-6). Let o be (9 - 1)*h\/(-2). Suppose 7*q - 119 = 24*q. Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(21\/4))\/2. Let v = -110432 + 110436. Let x = 4 + -1. Which is the fourth smallest value? (a) v (b) 0 (c) x (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*h - 2, 57*n - 53*n + 5*h - 1 = 0. Solve -5 = n*m + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 4, f: 6}. What is prob of sequence ff?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*i - 2 = 6*h, -4*h + 2*i - 16 = 0. Let x be ((-9)\/6)\/(h\/80 - 0). Calculate the greatest common factor of 60 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -293636\/59 less than -4978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 16\/12)\/(-27 + 1778\/42)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.96049416 + -0.03937584. Let s = l + 30. What is s rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c. Let t(z) = 0*z + z**3 - 3 + 6*z**2 + 7 + 7*z + c. Determine t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010692111 - 0?\nAnswer: -3010692111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 537.2 - 537.4. What is the nearest to u in 3, 15, 0.3, -5\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2380198153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-34)*-1 + 1\/(-14)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 20, 3\/4, 3, -1, 0, 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6620 and 7516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -234*l**3 + 2*l**2*o**2 - l + 3*o**2 + 14*o with respect to l.\nAnswer: -702*l**2 + 4*l*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 8. Let c be a(0). Let k = -5 - c. Suppose -4*w - w + 4*g = -k, 4*w - 5*g = -3. What is the least common multiple of w and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 396 - 149. Let f = 145 - n. Let d = f + 104. Solve -6*b = -d*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 3094091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270*m**4 + 2*m**2 + 0*m**2 - m - 3*m**3 + 272*m**4 to the form i*m + y + u*m**4 + v*m**2 + j*m**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2070*x**2 - 1109*x - 19124901.\nAnswer: -4140*x - 1109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 + 76. Let b(d) = -15*d - 61. List the prime factors of b(c).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 16. Solve i - n = -2*f + 3*f, 2*i - f + 3 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s**2 + 19*s - 6. Let f(y) = -20*y**2 - 28*y + 9. Calculate -5*f(t) - 7*g(t).\nAnswer: 2*t**2 + 7*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 39 - 128 + 1629 = 0. Calculate the least common multiple of i and 308.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-55))\/((-24)\/720).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2785694 by 2785694.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 75\/4 of a meter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = -5*m, 0 = 3*m - 0*m + 12. Let z = 1 - r. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k + 11*k = 41*k - 17*k - 19*z + 67, -3*k - 3 = -3*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/48*((-55)\/(-25))\/((-6)\/40)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 3*o + 4. Let s be f(-2). Suppose -4 = 4*w, -w = -4*d - s*w + 199. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 45946*w - 117. Give d(0).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6881159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbtbyxbkxbbb. What is prob of picking 1 x and 1 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 23 = 5*v - 2, -v + 4*x + 15 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*b**2*v**4 - 2*b**2*v**2 + 3*b**2*v - 2*b*v**5 - v**3 - 208*v**2 wrt v?\nAnswer: -1008*b**2*v - 120*b*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-24)*(-3)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106\/5 + -2024\/95. Let n = 1 - 0.5. Which is the third smallest value? (a) n (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(sqrt(72)*-2 + sqrt(72))\/sqrt(8))\/((sqrt(24)\/sqrt(4))\/sqrt(2) + sqrt(6)\/(sqrt(2) + (sqrt(2) - sqrt(6)\/sqrt(3)))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -990, 13, 4 in decreasing order.\nAnswer: 13, 4, 0, -990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.969 - -654907.\nAnswer: 654904.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwzwwzzw. Give prob of sequence www.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*w**3 - 594*w**3 - 583*w**3.\nAnswer: -935*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -11.91. Let v = -3.999 - 1.091. Let a = v + x. What is the biggest value in 0.4, -0.2, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, -4, 644, -2, -11 in descending order.\nAnswer: 644, 5, 4, 0, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**32\/(r*r**(-30)*r))**(2\/45))**6 assuming r is positive.\nAnswer: r**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30232*k**4 + 55929*k wrt k.\nAnswer: -362784*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/10 - a - 21\/10 = 0?\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 30*h + 197. Give j(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 45*o + 426. What is the remainder when q(9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -64*w - 1550. What is y(-24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 146827151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14249 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*a**3*j + 13*a**3 - a**2*j + 946*a**2 - 215*a*j + 23352*a - j wrt a.\nAnswer: -588*a*j + 78*a - 2*j + 1892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26772 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -961183?\nAnswer: 5\/961183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0109 - -0.0108768. What is y rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m - 2*y - 29, 0 = 3*m + 5*y - 1. Let k = -9 + m. Let f be k\/13 - (-24)\/(-13). Is f less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a day in seconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + s - 1. Let a(d) = -13*d**2 - 3*d + 7. Determine -a(r) - 6*w(r).\nAnswer: 19*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10603*x**4 + x**3 - 1032*x - 3.\nAnswer: 127236*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-3*j**5 + 5*j**5 - 3*j**5) + (0*j**5 + 5*j**5 - 3*j**5)*(-2 - 1 + 1) + j**5 - 2*j**4 + 2*j**4 - 5*j**5 + j**5 + j**5 + j**5 - j**5 + 2*j**5.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 112300000 rounded to the nearest one million?\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 485523\/4 or 121381?\nAnswer: 121381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12*1\/9)\/((-14)\/(-3)). Let c = 0.015 - 0.015. Sort d, -0.3, -4, c.\nAnswer: -4, -0.3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770455104?\nAnswer: 2, 3, 23, 174469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.3 (c) -3 (d) -0.46 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -106\/3, -4, -5, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -4\/3*l**4 + 0 - 6*l**3 - 5*l - 4*l**2. Factor f(n).\nAnswer: -4*(n + 2)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67964 or -68050?\nAnswer: -68050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -722*t**5\/17 + 64448*t**4\/17 - 1187256*t**3\/17 + 4965120*t**2\/17 + 15206400*t\/17 = 0.\nAnswer: -2, 0, 240\/19, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 1 = -7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -22*b - 18. Is n(-11) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 38cc8b1?\nAnswer: 38cc8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 16*o + 357370, -2*r + 342840 = -o - 14455. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10359*v**3 - 3*v**2 - 3*v + 108. Let h be q(8). What is h rounded to the nearest 100000?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - -10?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36540 - -36545. What is the third smallest value in 18\/157, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.733 - 9.733. What is the nearest to -1\/4 in -181, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20*x**2 + 8*x + 1. Let p(d) = 5*d - d - 44*d**2 - 48*d**2 + 1 + 105*d**2 + d. Determine -5*h(g) + 8*p(g).\nAnswer: 4*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(-3\/8)*b*b**(2\/9)*((b**2*b)\/b)\/((b\/(b\/b**(3\/7))*b)\/b) assuming b is positive.\nAnswer: b**(2227\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 5*z - 5*z)*(4*z - 4*z - 2*z + (-2*z - 8 + 8)*(0 + 5 - 3)) as i + n*z**2 + o*z and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798998 is divided by 188?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5b1 (base 12) to base 10\nAnswer: -853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 2:05 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**7\/840 - v**6\/120 + v**5\/120 + v**4\/24 - v**3\/8 + 26*v**2. Factor d(l).\nAnswer: (l - 3)*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -79981, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*q*r**2 - 2873*q*r - 22390170*q - 117*r**2 wrt r?\nAnswer: 22*q*r - 2873*q - 234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3253, 3 in decreasing order.\nAnswer: 3, 2, -2, -3253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22080996 and 504.\nAnswer: 44161992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -421, 111.\nAnswer: -421, -3, 1, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -25607*f. Determine p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -121. What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1053\/52 - (2 - 0)\/8. Let z be (-8)\/h + 5\/(225\/48). Solve z*r**2 - 4\/3*r + 2\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15.5 and 103 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 0. Let a(j) = -j + 8. Let k be a(4). Suppose -v - g = -5*y + 20, -k*v = -3*y + 23. Solve -y*u - 2*o = -2*u + 8, -5*u = 4*o + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/5500 and 29\/7472?\nAnswer: 10274000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 3*z + 2. Let w be c(-3). Suppose w*y + 12 = -y. Let l(u) = -6 - 3 + 1 + 7. Let b(n) = 2*n - 4. Give y*l(v) + b(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -568 and 4971.64.\nAnswer: 4403.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l = -6*l + 156 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31 - ((-12)\/(-38) + (-12155328)\/(-396492))\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 2. Let r(y) = -y - 3. Let g(o) = -2*r(o) - 3*t(o). Let h(k) = -9*k**2. Give h(g(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900 = 545*u - 485*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 25*y - 25. Give j(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 1, m: 4, c: 1, u: 3, d: 2}. Give prob of sequence duy.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0319792476 rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 2*a**2 - 6*a + 1. Calculate the remainder when 69 is divided by i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202222 - -21?\nAnswer: 1210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 463 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -4275*h**4\/4 + 167*h**3\/3 + h + 5492. What is the third derivative of u(n) wrt n?\nAnswer: -25650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359436, 718867, 1078296, 1437723, 1797148, 2156571, 2515992?\nAnswer: 2875411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012093269 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l - 40. Let u be ((-18)\/15)\/((-3)\/l). What is the tens digit of (u\/6)\/(4\/(-78))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.018 - -0.01706. What is y rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26.8, 0.15, 0.5 in descending order.\nAnswer: 26.8, 0.5, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-10 - -1) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r. Suppose -3*z = -r*n - 2*n + 28, 3*n - 2*z = 32. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/z**3)\/(z**1)**(4\/9)*(z**(4\/5)\/(z**(-5)*z*z))\/((z*z\/(((z*z**(-3\/4)*z)\/z*z)\/z))\/(z\/(z\/(z\/((z*z**(1\/3))\/z))))) assuming z is positive.\nAnswer: z**(-1031\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000001 (base 2) to base 14.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 17. Let b be x(4). What is the closest to 1 in b, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34832\/3 greater than 11610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -522, 54, 6.\nAnswer: -522, 6, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + z**3 - 6*z**3 + 5*z**3 - 2*z**3 - 4*z**3 + (0*z**3 + z**3 + z**3)*(2 + 1 - 5) + (-9 + 9 + 4*z)*(-z**2 + z**2 - z**2).\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13111201 and -3?\nAnswer: -39333603","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35035013000243 and -33?\nAnswer: 35035013000276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-78)\/(-10))\/((-56)\/(-140)))\/((-5)\/10).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - r**4 + 17 - 17 + (13*r**2 - 13*r**2 - r**4)*(-146 + 18*r + 146).\nAnswer: -16*r**5 - r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-32)\/(-4))*(-68)\/136?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = w - 3 - 0, 0 = -4*w - 2*h + 26. Suppose 9*z = w*z + 15. Suppose 4*b - 19 = -z*m, 3*m + 5*b = -0 + 14. Solve m*s = -13 + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*b - 10*b**2 - 71*b + 9*b**2 - 628*b**4 wrt b?\nAnswer: -15072*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3581350 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1272, 3018, 5912, 9948, 15120, 21422?\n\"Answer: -r**3 + 580*r**2 + 13*r + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**2 + 6*s + 4. Calculate m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-24)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96089140.\nAnswer: 2, 5, 7, 199, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 31493412103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/390 and -41\/1443?\nAnswer: 14430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -3)\/(-2*(-3)\/(-2)). Which is bigger: -1\/126 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 8*p**2 + 12*p - 23. Let h be t(9). Sort -5, h, -4.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 2284 + 2693. Suppose -1046 = -13*x + z. Calculate the highest common divisor of x and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 times 74614.4?\nAnswer: 16489782.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-18) - 284\/(-6). Suppose -h - 3*h + i = 0. Calculate the remainder when (-4)\/3 + (-420)\/(-18) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 12:39 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 324731\nAnswer: 324731.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-5)*6\/(-9). Solve 4*o = 5*o + g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - ((-10)\/(-4) - (-27)\/(-18)). Suppose -p = -y - 104, 0 = f*p + 5*y - 2*y - 528. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 + 23*d**2 + 31*d**2 - 11*d**2 - 15*d**2.\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125512 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-3))\/(2*(-5)\/1335)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -180?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 17*c**2 - 19*c + 76. Is t(8) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + -0.9000022. What is v rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {b: 3, q: 1, r: 1, n: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907*y**2 - 2722*y**2 + 18*y**3 + 910*y**2 + 905*y**2.\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1166.\nAnswer: -233.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -209\/24360 and 23\/45120.\nAnswer: 9159360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5 + 102*r**4 + 990*r**3 + 2026*r**2 - 3120*r = 0.\nAnswer: -39, -8, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 t when four letters picked without replacement from ttmjmjmjmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/60 + m**5\/30 - m**3\/3 + 5*m**2. Suppose -16*u = -11*u + 15. List the prime factors of d(u).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4087500 and 89\/806055?\nAnswer: 2015137500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 692, 2779, 6254, 11117, 17368, 25007, 34034?\n\"Answer: 694*c**2 + 5*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1168*t + 2 + 243*t - 6 as l*t + f and give l.\nAnswer: -925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*1*(sqrt(931) + sqrt(931) + -5) + -4 + sqrt(931) + -2 + 3)*-3)**2.\nAnswer: -7770*sqrt(19) + 210844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1470 = 2*r, 440 = -i - 4*r + 83. Suppose -5*k = 3*j - 2225, j = -2*k - 2*k + 744. Let q = i + j. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 175 + 881. Suppose p + b = 4, -1 = -p + 3*b + 7. Suppose p*s = s + t. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*t - 5 + 3 + 4 - 2*t**3 - 4 as x + a*t**2 + f*t + m*t**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/10, -1\/30, 0.2, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 2\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -50. Is 4*7\/(-42)*(m - 1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -157?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/8)\/(25 + (-101)\/4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1610650 to the nearest ten thousand.\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3800988 and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 7*o + 5*s - 55, 4*s = -o + 55. Calculate the lowest common multiple of 75 and o.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(75\/6)*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(25\/(-10)*154\/(-220))*105\/(-54).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -1066 - 1014. Calculate the greatest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1106)\/(-84))\/(-79))\/((-1)\/12 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, -10, 0.2, 8, 0.\nAnswer: -10, -1, -0.3, 0, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31365 and -8093.\nAnswer: -253836945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6952352*f**2 + 116464*f - 58 wrt f?\nAnswer: -13904704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 0*f - 3*f + (3*f + 0*f - 5*f)*(-1 - 3 + 3) - 2 + 2*f + 2 - 2*f + f + 3*f - 2*f + f + 0*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236729 is divided by 195.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 6*o**4 + 202*o**3\/3 - 478*o**2\/3 - 818*o\/3 - 52 = 0?\nAnswer: -13, -1, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 9:52 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-246)\/(-18655)*-10 + 2 + 28\/(-13)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 133719, 266493, 399267?\n\"Answer: 132774*f + 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -40 + 27 + 279 + -1 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 58. Let z(n) = 12*n**2 + 24*n - 21. Let g(f) = 3*f**2 + 6*f - 5. Let w(i) = l*g(i) + 5*z(i). Suppose w(o) = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372498 = 4991*s - 66710 for s.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 21*g = -100. Suppose 0 = 3*m - f - 0*f - 16, 0 = 5*f - g. Suppose -m*b + 1147 = -190. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/24 - q**2. Let j(k) = 20*k**2 + 11. Let m(v) = -4*v**2 - 2. Let i(u) = 2*j(u) + 11*m(u). What is g(i(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117231.8 millennia to years.\nAnswer: 117231800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25024, 26104, 27910, 30448, 33724, 37744, 42514, 48040?\nAnswer: 54328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -209, 2873, 7961, 15055?\n\"Answer: 1003*x**2 + 73*x - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -410*x**3 - 3*x**2 + 2*x - 2730 wrt x.\nAnswer: -2460*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458052870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose u + c = 15. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -4, 64, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95 in -0.3, -1, 1.2, 4, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 5. Let i be f(4). Let m be 0\/((2\/(-2))\/i). Suppose m = w - 5*w + 380. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -7*l**3 + 4. Let x(g) = 39*g + 33*g - 130*g + 36*g + 14*g. Calculate x(p(m)).\nAnswer: 168*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 5*s**8\/756 - 13*s**7\/945 - s**6\/180 + s**5\/54 + s**4\/108 - 15*s**2 - s. Let k(i) = 0. What is i?\nAnswer: -1\/2, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvrrr. Give prob of picking 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429148 less than 1429144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5616 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 + 27 = 0. Suppose l = g, 2*g = -5*l + q*g + 3. Suppose 0 = 2*y - 7 - l. Solve -5*j + y = 5*d, -d = j + 3*d + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -c + 6*c - 36, 0 = -4*u - c - 28. Let m = 3 + u. What is the third biggest value in 0.08, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*1*(-10)\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 1041*f**4\/2 + 2*f**3\/3 + 1210*f**2 + 315. What is the second derivative of y(p) wrt p?\nAnswer: 12492*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 78*l + 29. Is i(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.3, -33, 0.5 in decreasing order.\nAnswer: 0.5, 1\/3, 0.3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -38. Suppose 0 + 10 = 5*d, -j*g + 5*d = -216. Calculate the remainder when g is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 642606.\nAnswer: 7\/642606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 190\/12 + (-71)\/((-15762)\/(-185)). Let a(u) be the second derivative of 32*u + 27\/2*u**3 + 0 - 5\/4*u**4 - g*u**2. Determine i so that a(i) = 0.\nAnswer: 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139317982 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - y + 22, 2*l = 3*y - 1 - 9. Let z = 11 + l. Let b = 1 + z. Solve -2*g = 4*o + 2 - 0, 3*o = -4*g - b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 5*n**4\/12 + n**3\/3 + n**2\/2 - 4*n. Let d be c(-1). Suppose -2*i = -12 + d. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(208) + 0 + 4)*4*-6*3 + 0)**2.\nAnswer: 1492992*sqrt(13) + 10450944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 994*m**4 - 1379 wrt m?\nAnswer: 3976*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.100247?\nAnswer: -0.400988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dd + -107c7?\nAnswer: -108b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 11*l**7\/210 + 13*l**4\/24 + 8*l**2. What is the second derivative of r(s) wrt s?\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t + 22. Let n(p) = -97*p**2 - 19*p + 1. Calculate b(n(r)).\nAnswer: 582*r**2 + 114*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004801248 to the power of 1\/3, to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1148)\/2520 - (-4)\/72?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-3\/11)*w\/(w\/(w\/(w*w**(-11\/5))))*w**17*(w\/((w**(-18\/11)*w)\/w*w*w))\/w assuming w is positive.\nAnswer: w**(1076\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3\/2 - 1515*s**2\/4 - 741345*s\/4 + 371425\/2 = 0.\nAnswer: -415\/2, 1, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9198666 and 14076?\nAnswer: 18397332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -426*a**4 - 382*a**3 + 33017 wrt a?\nAnswer: -1704*a**3 - 1146*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 2, g: 2}. What is prob of picking 1 p and 1 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4184 - 21940218002\nAnswer: -21940222186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*p = -196 + 201, -v - 3*p = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 2. Determine q(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/17 - 17982538*x\/17 = 0.\nAnswer: 0, 8991269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*i - 51. Suppose -587 = -4*g + y, -5*y - i = g - 201. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6216 and 11547256.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -251*x + 997. Determine j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 39*f + 43*f + 308 = 0, -5*x = -3*f - 311. What is the smallest common multiple of x and 12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, 1\/7, -1, -0.4, -2849380?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.41 + 0.11. Let n be 470\/188 - 22\/4. Suppose -2*y - 15 - 4 = o, 2*o = 4*y + 2. Which is the nearest to -0.1? (a) n (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**3 + 10*g**2 - 2*g + 13. What is a(3)?\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 662\/7 < 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(52) - (sqrt(52) - 6*sqrt(7488))))**2 - (2 + sqrt(325) - ((sqrt(1872)*3)**2 - sqrt(13)))*6.\nAnswer: -36*sqrt(13) + 2527188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.45 rounded to zero dps?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 760366890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2444, -9534, -21350, -37892, -59160, -85154, -115874?\nAnswer: -151320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2465\/294 + -370\/49. Let n(f) be the first derivative of -26\/9*f**3 - 1\/9*f**6 + 22 - 9\/4*f**4 - 11\/6*f**2 - i*f**5 - 1\/2*f. Let n(v) = 0. What is v?\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34823029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - j - j - 14, -8*j + 33*j - 24 = 6*z + 28*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 9:12 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 56*b**2 - 26*b + 113. What is the units digit of w(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -21*l + 12*l + 180, 493 = 5*b + l. What is the greatest common factor of 1908 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 16 = -4*k, 5*t + 0*k - 3*k = -17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (34 + 0 + 32 - (0 + 11))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (-1 - -9) + 2 + (-20 - -17)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*i, 5*i = -0*z + 4*z - 157. Let q = z + -15. What is the smallest common multiple of q and 52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178173649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 798*y**6 + 226*y**5 - 307*y**3 + 1850*y**2 - 2*y - 164852.\nAnswer: 95760*y**3 + 13560*y**2 - 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3862*a*x**3 + 40387*a*x - 46322153*a + 1 wrt x.\nAnswer: 11586*a*x**2 + 40387*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0 + 0*s**6 + 0*s**4 + 0*s**3 - 10*s**2 + 0*s**7 - 1\/6*s**5 - 5\/168*s**8 + 0*s. Find the third derivative of a(o) wrt o.\nAnswer: -600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -438 in decreasing order.\nAnswer: -1, -3, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 + 1218. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 3 + -3)\/((-18)\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 117611249621\nAnswer: -117611249617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 2*y**2 + 172*y + 181. Calculate h(0).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -18.9.\nAnswer: -94.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 1. Let w(k) = 3*k + 10. Let b(s) = -2*t(s) - w(s). Let r(h) be the third derivative of h**3\/6 + 2*h**2. Calculate b(u) + 6*r(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 38*c - 4. Let k = -6 - -10. Let i = -1 + k. Let m be n(i). What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 7:20 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 5:38 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + -2)\/((-6)\/(-4)). Let q(j) = 7*j**3 + 9*j**2 - j - 1. Let o(a) = -3*a**3 - 4*a**2. Let u(v) = p*q(v) - 9*o(v). Is u(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -1, m - 50 = -3*x. Differentiate 124 + 2*f**2 - f**3 - 6*f**3 - 21*f**3 + 4*f**3 - x*f**3 wrt f.\nAnswer: -126*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721549.\nAnswer: 29, 139, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v**3 + 7*v**2 - 30*v + 72. Let d(m) = 12*m**3 - 6*m**2 + 29*m - 61. What is -6*d(t) - 5*z(t)?\nAnswer: -2*t**3 + t**2 - 24*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 178*o**2 + 35*o - 33. Let j(d) = -82*d**2 - 17*d + 13. Let v(u) = -13*j(u) - 6*w(u). Let c(b) = b. Determine v(c(r)).\nAnswer: -2*r**2 + 11*r + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122.05 + -121.95. Which is greater: l or 3801?\nAnswer: 3801","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139188292370.600001407 - 139188290764.6. Let v = -1606 + a. Round v to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.46 and -7808.469?\nAnswer: -3591.89574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**5 - 6384*c**4 + 3*c**2 + 3*c + 287677.\nAnswer: -160*c**3 - 76608*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -28?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3\/4 - 9*y**2\/2 + 405*y\/4 + 729 = 0. What is y?\nAnswer: -9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*x + 11 - 11)*(-2*x + 3*x - 2*x) + (0*x - x - x)*(-x - 3*x + 2*x) + x**2 - 20*x**2 + 4*x**2)*(-2*x + 2*x + 5*x).\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2022.33 and 0.8.\nAnswer: -2021.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 841*t + 50481. Determine y(65).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -17*o. Give u(3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.3 (c) -2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 4*a**2 + 3*a**2 + 3 - 4*a. Suppose 84*n - 88 = -256. Let x(l) = 6*l**2 - 2*l + 2. Determine n*v(k) + 3*x(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -136. Suppose -440 + f = u. What is the tens digit of u\/(-5 + 2) + 1 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxxuxu. What is prob of sequence uu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*l - 16, 7*l = 3*f + 2*l + 29. Let u = -15 - f. Let h be (4\/3)\/(u\/(-3)). Solve -3*s + 15 = h*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/15488 and 23\/79552.\nAnswer: 1750144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -42*n + 7. What is the remainder when 243 is divided by s(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (496\/155)\/(36\/180).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/40374 or -1?\nAnswer: 1\/40374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12111221201 (base 3) to base 8\nAnswer: -324052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-3969)\/(-18) - (-2)\/(-4). Suppose 0 = -2*o + o + 20. What is the highest common factor of o and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3388)*-2)\/(sqrt(324)*1) - (4*sqrt(245)\/sqrt(7) - sqrt(35))\/sqrt(5)*1.\nAnswer: -49*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.652148cm in millimeters?\nAnswer: 56.52148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/10134 and 4\/188105619.\nAnswer: 1128633714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 - -131. Find the third derivative of 63*u**2 + 8*u**l + 396*u**3 - 371*u**3 wrt u.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 2*w - 70, -510*w - 60 = -3*d - 516*w for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2015 = -c - k, -c + k + 500 = 0. Find the common denominator of 6\/(1650\/c) + 4\/5 and -41\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(175) + sqrt(19) + (sqrt(19) - ((sqrt(304)\/sqrt(8))\/sqrt(2) - sqrt(19))) + (((sqrt(114)*-3)\/sqrt(6) - sqrt(19)) + -5)**2*4.\nAnswer: 811*sqrt(19)\/5 + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 245*z - 3915. Let q be c(16). Solve -3*d = -2*h - 23, -8*d + 3*d - q*h = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.003 + -0.503. Let l = 5.622 - 0.022. Let j = 2.4 + l. Which is the biggest value? (a) -4 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/5125 and 19\/25625?\nAnswer: 25625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Let g be 2\/6*j + 2. Suppose -4*h = -g*z + 101, 2*h = -z - 3*z + 120. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**(3\/32))**(31\/4) assuming a is positive.\nAnswer: a**(-31\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44640745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-10))\/(255\/(-425))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108661, 217311, 325961, 434611?\nAnswer: 543261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 258930310 a multiple of 2473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 558139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 442 + -425. Suppose -u*m + 56682 = m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 2*n - 6*n)*(-3*n + 2*n + 0*n) + n - n - 2*n**2 to y*n + b + h*n**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4723094.34243 + -4723157. Let x = a + -0.07243. What is x rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 38. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. What is the second derivative of -2*u**4 + 6*u**3 - 6*u**j + 3*u wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 - 75 = 17*q. Suppose 3*u = 2*u + q. What is the highest common factor of 152 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = 15*y - 5*y. Let t be (-38)\/(y - ((-20)\/15)\/(-2)). Sort -2, t, 0 in ascending order.\nAnswer: -2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x**2 + 0*x**2 - 5*x**2 + 3*x**2. Let j(p) = -3*p**2. Let z(r) = -5*j(r) + 9*t(r). Let u(v) be the first derivative of v**2 - 44. Calculate u(z(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-231)*357\/28*-7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10584210 rounded to the nearest one hundred thousand?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**4\/6 - 103*u**2 - 224. Let d(h) = 128*h**2. Let t(b) = 43*b**2. Let n(p) = 2*d(p) - 7*t(p). Determine j(n(y)).\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/45, -0.106, 1\/7, 0.32, -0.3?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1604 and -15\/2.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {b: 1, y: 1, d: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.494 + 16.225. Let q = 0.069 + n. Let o = 13 - q. Put o, 0, -0.1 in decreasing order.\nAnswer: o, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*k - 120 = 0, -2*y + 1557*k + 120 = 1552*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*z + 29, f - 4*z - 15 = -z for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2100 + -3022. Let k = b - -921.999999026. What is k rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 9 = -2*j, 6*t - 21 = 7*t - 3*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b + 10*b + 9*b + b**2 + 3*b**2 in the form q + p*b + z*b**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 7*p**2 - 3993 + 0*p**3 + 3985. Suppose 2*b = -3*c + 6 - 4, -5*b + 39 = -c. Give f(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -287*r - 110. What is the units digit of w(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 3*a + 7. Let d = 51 + -35. Suppose d = 5*t - 9. Let o be c(t). Sort 2, -2, o in descending order.\nAnswer: 2, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, -32 in ascending order.\nAnswer: -32, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -250, -377, -504?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**5\/20 - t**4\/12 - t**3\/6 + t**2\/2 + t - 4. Let z(i) be the first derivative of o(i). Determine z(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15244 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -328*g. Let z(x) = -19848*x + 4. Calculate t(z(b)).\nAnswer: 6510144*b - 1312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26880.68 millennia in centuries?\nAnswer: 268806.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 8*a**2 + 5*a + 3. What is h(3)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoozi. Give prob of picking 1 z, 1 i, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*3*-1)\/(sqrt(60)\/(sqrt(6) - sqrt(24))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/20 + 5*h**4\/6 + 8*h. Find the third derivative of v(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -1 + 18. Suppose -v - 3*p = -u, -15 = -v + 6*v - 5*p. Suppose z + v*y + 4 = -1, 4*z - 3*y = 24. Solve 5*i = -z*k + 2, 4*k - 3 = 2*i - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -126\/19 (b) 0.01 (c) -2\/17 (d) 2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -244.713 plus 0.018?\nAnswer: -244.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*j**2 - 10*j**3 - 51*j**2)*(0*j + 2*j + 0*j) + (j**2 + 2*j - 2*j)*(-59*j**2 + 172*j**2 - 59*j**2) to v + y*j + k*j**3 + s*j**4 + x*j**2 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -72909690 rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1241177 - 678631. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*n + 40 = 0, 5*p = p + 2*n + 124. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**5\/20 + c**4\/3 - 4*c**3\/3 - 3*c**2\/2 - 6*c. Is 10 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/7 - (69700\/(-28) + 6)?\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/7)*k\/((k\/k**(-1\/16))\/k))\/(k**(-3\/7)*k*(k**(-4\/9)\/k)\/k*k))**(12\/13) assuming k is positive.\nAnswer: k**(1681\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*f + 1908*f + 903*f - 280800 = -335*f for f.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 745 and 66665.\nAnswer: 9933085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 k, and 1 h when four letters picked without replacement from {k: 3, w: 6, h: 6}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 16 = -0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.111511 tonnes?\nAnswer: 2111511000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/3 + 19731*u**2 - 113171270*u\/3 = 0.\nAnswer: 0, 1978, 57215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4679 + 4677. Let o = -1 - -3. Let x be (-1)\/o*-1*1. Which is the nearest to -0.1? (a) z (b) x (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247 + -251. Let j be 0\/((2 - -2)\/2). Let f be (-14)\/(-6) + 6\/9. Put o, j, f in descending order.\nAnswer: f, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1003580 and 48?\nAnswer: 12042960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8)\/(-76*(-2)\/16). Which is the fourth smallest value? (a) -4 (b) 5 (c) s (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00073605 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 2797\/(-152) + 11 - 66\/528?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 88 = -4*c. Let y be c\/5 - (-2)\/5. Suppose -32 = -15*a + 47*a. Sort a, y, 2 in decreasing order.\nAnswer: 2, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 768.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:24 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2 - 8. Let d = 5 - a. Let o = 201 - 198. Solve -d*l = -l - o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83601*k**4 - 137228 with respect to k.\nAnswer: 334404*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(272) - (sqrt(272) - (4 + sqrt(272)*-2))) + 4)**2 + (sqrt(2057) + 2 - sqrt(2448)*4)*5.\nAnswer: -6902 + 583*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1e39 (base 15) to base 16\nAnswer: -19b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -42*r + 31*r - 6 + 0 + 24*r. Let u(o) = -13*o + 5. Calculate 7*u(z) + 6*v(z).\nAnswer: -13*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3163 + 1053 - 13180*i**3 + 1055 + 1055.\nAnswer: -13180*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 397610 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 + 7)*(q - q - q**3).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39430374 equal to 39430372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 7*p**2 - 19*p + 10. What is the lowest common multiple of (-12)\/(-2 + 3\/6) and m(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 12, -2, 4, -72?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 n when three letters picked without replacement from {n: 7, f: 2, t: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40811 (base 9) in base 14?\nAnswer: 9b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 + m. Let b be (-36)\/(-288) - 45\/(-24). Let y(r) = 7*r**b + 20*r**2 - 8*r**2. Determine y(u(x)).\nAnswer: 19*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 116 = -41*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 - -437\/4. Let k be 6\/2 - (0 + (-217)\/(-73)). Let q = -83\/365 + k. Which is the nearest to -0.2? (a) -4 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 3)*4\/6. Suppose 0*y - 3*n = -2*y + 20, 3*n - h = -4*y. Solve -7 - 3 = -y*o - 2*q, 0 = -3*o + 2*q + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {m: 5, e: 5, p: 9, i: 1}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.344726515 rounded to 3 decimal places?\nAnswer: -0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - g - 37*g**2 + 2 + 3*g**3 + 35*g**2 to u*g**3 + j*g + r*g**2 + n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x + 1910 + 2362. Let q be (-2)\/(-14)*44854\/(-12). Let h = x - q. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*r - r. Let t be 10\/3 + (-7)\/r. Put -4, -3\/8, t in descending order.\nAnswer: t, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 5795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 14. Suppose s + 5*i = 0, i + 3*i = -2*s. Let r be l(s). Let k = 14 - r. Solve k*j = -2*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2600)\/(-64))\/5*(-42)\/105.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 19 = -8*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18243984 and 41844?\nAnswer: 18243984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-5))\/(4\/(-5)). Let d = 8.62 + 7.42. Let q = d + -16. What is the second biggest value in q, 1\/2, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) 1\/5 (c) -1076\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 1121. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*h = -2*h + 27, z = -4*h + 29. Let d(g) = z - 4*g + 2*g + 4*g - 3*g. What is the units digit of d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.3 + -1.3. Let y(h) = 2*h**2 + 2. Let n be y(0). Suppose d + 3*m = -n*m - 23, 0 = -d - 2*m - 8. What is the second smallest value in d, q, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3)*(1 - 6 + 2)*(-3*y + 3*y - 2*y).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*f + 110, 2*h + f - 17 - 78 = 0. Suppose -2*n + 27 = -3. Calculate the highest common factor of n and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Suppose 0 = i - 5*m + 11, k*m = i + 3. Let g(n) = -2*n. Let h be g(-3). What is the highest common factor of i and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14779.931 + -108.669. Round i to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 31 = -9. Solve -7*r + w*r - 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-21)*((m\/(m\/m**4))\/m*m)\/m**(-1\/9) assuming m is positive.\nAnswer: m**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6*w = -8. Let o be 0\/(-6 - 1\/(w\/(-3))). Solve 3*i + 3*q - 21 = -o*q, i - 2*q = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 195 (b) -1\/6 (c) 11\/442\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -9 - 1\/6*d + 1\/18*d**3 + 0*d**2. Determine l so that g(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.594 and -9.47?\nAnswer: 11.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 643, 1282, 1919, 2554, 3187, 3818?\nAnswer: 4447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 0, 2*n - 38 = -6*g + 3*g. Let y be (((-2)\/(-4))\/((-5)\/g))\/2. What is the biggest value in y, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 586125 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**5 - 40*p**2 - 99*p.\nAnswer: 40*p**3 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58.9838 - 59. Let x = y - -0.8902. Let v = x + 0.006. What is v rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8161.\nAnswer: 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - v)*(-v + 0*v - 3*v + (4*v + 6*v + 23*v)*(-6 + 3 + 2))*(-3*v + 0*v + 0*v) as m*v**3 + l*v**2 + i*v + h and give m.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/5882 and 101\/10726?\nAnswer: 182342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097.7 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12070045.\nAnswer: 5, 13, 185693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 15 = -17. Find the common denominator of -79\/21 and ((-2)\/i)\/(33\/418).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(1\/6)*((t*t**(2\/11)\/t*t*t)\/t)\/t*(((t\/(t\/(t\/((t*t\/(t*t**(-1\/2)*t))\/t)))*t)\/t)\/t)**(2\/35) assuming t is positive.\nAnswer: t**(2411\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/62809 and -85\/14.\nAnswer: 879326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*p - 14, 0*m + 3*m + 2 = 5*p. Let k = 5 + m. Let c = k - -10. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.632 - -0.068. Let x = -6 + m. Let a be (-1)\/(1\/(-1) + 2). Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/7184570 and -26\/7.\nAnswer: 50291990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 0*y**2 + 0*y**3 - 8\/5*y**5 + 0*y**4 + 40*y + 23. Find the first derivative of x(d) wrt d.\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 12*v. Solve l + 0*l = v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + 5 + 2 - 5. Let f = 3 - -1. Let t(w) = -2*w - 2. Determine f*t(u) + 3*m(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141206 and 7202.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/20)\/(((-714)\/(-459))\/((-10)\/(-6))).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.227099 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*p*s**3 - 172*p*s**2 - 4*p*s - 6*s**4 wrt s?\nAnswer: -216*p - 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29692535641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -400354 - 402430?\nAnswer: -1203224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 3*v - 4. Does 24 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -233\/6? (a) -4 (b) 107\/2 (c) -0.06 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2\/3*j**4 + 2\/3*j**2 + 0 - 4\/3*j - 2\/3*j**5 + 2*j**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -19 + (0 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -2373?\nAnswer: -237b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*m**2 - 27*m**2 + 25*m**2 + 9 + 8*m**3 + 5*m**2 - 557 wrt m?\nAnswer: 24*m**2 + 46*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, t: 8, y: 7}. What is prob of picking 2 o and 2 y?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-22)\/297 - ((-1436)\/432 - -3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -21*h. Let g(c) = -392*c**2 - 3*c. Give l(g(j)).\nAnswer: 8232*j**2 + 63*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74611 - 74185.59. Let r = v + -423. Let p = r - 2.3518. What is p rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9602023 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5 + 4528*j**3 - 7298*j**2?\nAnswer: -120*j**2 + 27168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 11*u + 3. Let z be v(-10). Let g(y) = 2*y - 32. Determine g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2584?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168.9 - 168. Let k be 1*((-1256)\/6)\/4. Let n = 53 + k. What is the smallest value in n, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2 (b) 177 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m. Let x = m + 2. Find the first derivative of -4 - 2*k**x + 2*k**2 - 4*k**3 + 1 wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-16 + (4 - (-27 + 11 - -61)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 22*c**2 + 14*c - 35. Let a be j(21). Let l be 2\/((5 - 3)*-1). Find the common denominator of -27\/22 and (1 - a\/(-12))\/((-3)\/l).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/8 + (-36)\/(-60) + 1460251\/40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 b, and 1 g when three letters picked without replacement from mbmvmeg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**2. Let b = 21 - 62\/3. Let g(c) be the second derivative of -b*c**3 + 0*c**2 + 0 - 7*c. Give p(g(k)).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 114*c**2 + 9*c - 10. Let m be w(1). Put 4, m, 3 in decreasing order.\nAnswer: m, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 + -57. What is the smallest common multiple of 20 and v?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(1 - -3))\/1. Suppose 3*x = 4*u - 0*x + w, 5*u - 13 = -x. Find c such that 2\/3*c - 2\/3 + 2\/3*c**u - 2\/3*c**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*t + 10, -3*t + 4*d = -t. Solve -t*q = -5 - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*3 + (6 - (3 - -34)). Let h be (882\/w)\/((-5)\/9 - -1). Let d = -71 - h. Put d, 4, 1\/3 in descending order.\nAnswer: 4, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 48*r**2 + 90*r - 78. Give q(-46).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -89.\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26)\/(-6) - -1) + 14\/(-42). Suppose -r + h + 54 = 4*r, r - 3*h - 22 = 0. What is the greatest common divisor of r and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1 + 7*30\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5440560685 to the nearest integer?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-5))\/((-39)\/(-1) - (-46765)\/(-1175))?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.5, -3\/7, 43, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*m - 380 + 767 - 387 in the form y + v*m and give v.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 6243962*h - 6243962*h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2627 and -5?\nAnswer: 13135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 16249 and 6226 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.494631 to zero decimal places.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 3*y**2 + 125. Let r(f) = 21*f**2. Determine t(r(n)).\nAnswer: 126*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646 = 5*c + 10*t - 2*t, -5*c + 4*t + 622 = 0. Calculate the lowest common multiple of c and 201.\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48578 = 21*m + 47759 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4442?\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96819 is divided by 1088.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) + 827886\/(-112). Let j = p + 7404. Calculate the common denominator of 18\/(-40) - (-3)\/6 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**4\/18 + 8*m**3\/3 - 52*m**2\/3 + 158*m. Let x(z) = 0. What is z?\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -7 - (4 + -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*i - 77, 139 = 5*n + 63867*i - 63861*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - p**2 - 8*p**2 + 16*p**2 - 74285*p.\nAnswer: 6*p**2 - 74285*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*x - 59 = 89*x + 45 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*g - 3*g. Let n(l) = -l**2 + 2*l + 2. Determine n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-45) - (-11)\/10)*34. Calculate the highest common divisor of q and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:16 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14962*o + o**2 + 14962*o - 714 + 1298.\nAnswer: o**2 + 584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w - 4. Let d(b) = 16*b**2 - 9967*b - 5. Give v(d(m)).\nAnswer: 160*m**2 - 99670*m - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 + -57.37863?\nAnswer: 405.62137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/8, -456\/25, 17, -3, -0.043?\nAnswer: -456\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8414, -8427, -8440, -8453, -8466, -8479?\n\"Answer: -13*h - 8401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210733 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29445188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22332 by -6.\nAnswer: -3722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 7*x**2 + x + 9. Give a(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*u - 180*u**2 + 73*u**6 + 155*u**2 + 172*u**6 wrt u?\nAnswer: 29400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 511770 by 6.\nAnswer: 85295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in -2, -13, -43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-124)\/(-7) + (-4)\/(-14). Let q = 36 - v. Suppose -2*l - 2*k = -q, 2*k = k + 3. Solve 9 = -u + y, -5*u = 3*y + l - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 24*j**2 - 20*j + 40. Let b be l(-23). Let y(f) = -f**3 - 27*f**2 + 40*f - 35. List the prime factors of y(b).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2183 divided by 52892.\nAnswer: 2183\/52892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 748?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(21\/112*-8) + (-18)\/(-3). Let w be 4\/6 + 50\/6. Solve -3*k - 2 = -x*h - 5, h - w = 4*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 194, 0, 2, -0.1, 5 in descending order.\nAnswer: 194, 5, 2, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758626021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18015470 to the power of 1\/2, to the nearest integer?\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(10\/4*-1*((-153)\/9)\/(-85)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 - 5*p**4\/6 - 17*p**3\/6 + 33*p**2 - 818*p. Suppose y(r) = 0. What is r?\nAnswer: -3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -47. Let w be ((-16)\/d*6)\/1. What is the second derivative of -23*z**5 - w*z + 8*z**5 + z + 0*z wrt z?\nAnswer: -300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 476 - 273. Let f = a + 610. What are the prime factors of f?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -8\/21, -101702?\nAnswer: -101702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-2))\/(14\/42). Suppose k*h - h - 25 = 0. Suppose -6*n + 16 = -2*n. Solve h*r - n = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 610327336 and 6392.\nAnswer: 6392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**2 - 107501592*b - 963049356877872 = 0.\nAnswer: -17916932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41905 + 20178 - i - 49731 + 7890.\nAnswer: -i - 63568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.107592 months in years?\nAnswer: 2.008966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.354625 centuries?\nAnswer: 33.54625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**8\/14 - 9*b**4\/4 - 119*b**3\/3 + 17. Let h(x) be the third derivative of i(x). Find the first derivative of h(y) wrt y.\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/5 - 4*u**2 + 53*u\/5 - 34\/5 = 0. What is u?\nAnswer: 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -31. Let i = 18.9 - w. Let l = i + -2.3. Sort 0, l, -2\/7.\nAnswer: l, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-1620))\/(((-20)\/(-2))\/5)*4.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13967053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((((sqrt(114) - sqrt(114)*-2) + sqrt(114))*3)\/sqrt(6) - (-5 + 2 + sqrt(19) + -2)))**2.\nAnswer: 110*sqrt(19) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (23 - 13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8*s - 40 = 0. What is the nearest to -3\/8 in 4, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108976 divided by -28\nAnswer: 3892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010241397 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 24 = -0*w. Suppose 0 = -v + 2*g - w*g + 22, -4*g + 10 = -5*v. Suppose 2*r - 3*r + v = 0. Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3*w - 3*r**2*t + 608*r**2*w - r*t*w - r*w + 31*r - 28*w wrt r?\nAnswer: -12*r*w - 6*t + 1216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123160 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.057837 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 8664*y\/7 - 9383112\/7.\nAnswer: -2*(y + 2166)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1135 divide 352985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 491*o**2 + 571*o**2 + 337*o**2 - o**3 + 486*o**2 + 1060*o**2 to the form i*o**3 + b*o**2 + h*o + u and give b.\nAnswer: 2945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {l: 1, u: 6, z: 3, b: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 48236*m + 581677924 = 0. Calculate m.\nAnswer: -24118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 7*x**2 - 12*x**2.\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/3 (c) 0.1289 (d) -68 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 463339013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**3 + 330 + 44*c**3 - 309.\nAnswer: 60*c**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3243*145\nAnswer: -470235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200100 (base 3) to base 13.\nAnswer: b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 599, 1290, 1981, 2672, 3363?\n\"Answer: 691*d - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64 + -24?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 26*q**2 - 12*q + 79. What is l(-25)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0*s - 2*s - 2 + s. Suppose 4*t = 4*y - 353 + 389, -4*t + 37 = -3*y. What is the least common multiple of t and k(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/4 (b) 4 (c) 3 (d) -2 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:49 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -16, 54*y - 5*d = 57*y + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1331277\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (46\/(-10) - -4) - -3. Which is the third smallest value? (a) f (b) 0.3 (c) 3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-231)\/(-9) + (-8)\/12. Solve -2*a = 3*a + p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 0.05 (c) -2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - i - 2*i - 24 = 0, -2*i = 6. Suppose -4*l - 4 = -y*l, -o + 611 = 3*l. Suppose 4*f + 3*m = -m + 460, 5*f - o = 3*m. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-3 - -1) + 1. Suppose 3*g - 4*g + 62 = 4*w, -76 = -5*w - s*g. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -29*x - 19. Let f(b) = -7*b - 55. Calculate the remainder when p(-8) is divided by f(-14).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 558 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13611523\/2016 - -60767\/9. Calculate the common denominator of -125\/18 and t.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.86 times 105.0288\nAnswer: -930.555168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - -15. Suppose 2*k = 4*k - a. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 9 = -a + k, -3*k = 2*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 241 in 234, -4, -2\/9?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -10\/296897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (97*p**2 + 129*p**2 - 49*p**2)*(0*p - 5*p + 4*p) to j*p + t*p**2 + o + s*p**3 and give s.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6666*d**2. Let o(l) = -3*l**2. Determine c(o(i)).\nAnswer: 59994*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -18*w + 20*w. Suppose w*n + s = 52 - 19, 5*n = 5*s + 35. Suppose -3*b = -23 + n. Calculate the least common multiple of 9 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -15*b**2 + 108\/5 + 27\/5*b + 6\/5*b**3 = 0?\nAnswer: -1, 3\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217539 is divided by 10876.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1. Let m(l) be the first derivative of 0*l + 3\/2*l**2 + 13. Let o(w) = 3*h(w) - m(w). Give o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 166\/2849955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41396403.\nAnswer: 3, 659, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3\/28)*(3240\/105 + -30). Which is smaller: -175\/19 or w?\nAnswer: -175\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 101*h**7\/210 - h**5\/60 - 143*h**3\/3 + 85*h**2. What is the third derivative of o(k) wrt k?\nAnswer: 2424*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -120*z**3 + z**2 + 14*z + 17. What is the units digit of b(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (16*(-3)\/9)\/6 + (-308)\/(-9702). Suppose 0 = m - 2*m + w, 3*m + 2 = 2*w. What is the closest to m in z, 2\/19, 1\/7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3451 - 27573\/8. Suppose 3 + 59 = 2*u. Let v = -757\/22 + u. Find the common denominator of p and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4970055 and -29\/135.\nAnswer: 44730495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 26*j + 1 - 15*j - 14*j + j**3 + 3 - 3*j**2. Suppose 3*b = -5*s + b + 28, -8 = s - 3*b. Determine z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3484 by -9.\nAnswer: -3484\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -180 in -4, -0.731, -8, -2, 1\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/19 in -0.3, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 4. Let z(r) = 7*r - 9. Let p(s) = -9*x(s) - 4*z(s). What is the smallest common multiple of p(-5) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 4*q - 3*q + (-3 + 1 + 0)*(0*q - 2*q + 0*q) + (-5 + 1 + 1)*(0*q + 3*q - 2*q) + 1 - q - 1.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 382706789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04991 - -0.049903596. Round z to 7 dps.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 33*o**3 - o**2 + 3. Let j be w(3). Suppose -h + 18*n + j = 20*n, -5*h = 5*n - 4405. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1417 + -1344. Calculate the lowest common multiple of 4 and b.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 20*m - 4. Let r be h(-17). Let l = -162 - r. Suppose 7*g + l = 2*g. Are g and -16 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 - -129. Let p(l) = 46*l**2 - 2*l. What is the units digit of p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-68) - (-405)\/27540.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1150 - -2990. What is the remainder when l is divided by 607?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -53\/136?\nAnswer: -53\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011 - 1010100001110?\nAnswer: -1010010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (5 + -1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 2*i + 2. Let t(m) = m**2 - 7*m - 6. Let b be t(8). Suppose 2*s = -b*s. 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: Let q(d) = -11*d - 93. Let k(l) = -803*l - 813*l - 50 - 812*l + 2423*l + 3. Give 9*k(f) - 4*q(f).\nAnswer: -f - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 - 7*o - 7. Let v be r(-7). Suppose -4*q + 2 = -v. Let m = q + -3. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/70 and 32\/(-56) - (-2795)\/(-70)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b0 (base 16) in base 9?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*9418629.\nAnswer: 536861853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 0.1, 5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 355\/5292 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a + 135. Factor 21*n**4 + 4 - 27*n - 15*n**2 - 11 + a*n**3 + 1.\nAnswer: 3*(n - 1)*(n + 1)**2*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 23*k**3 + 7*k**2 + 19*k + 3. Let y(s) = -8*s**3 - 2*s**2 - 6*s - 1. Give -2*d(n) - 7*y(n).\nAnswer: 10*n**3 + 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*o = -155*o - 1696 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 0*p)*(13*p + 95*p - 4*p)*(1 - 3 - 1)*((2 - 3 + 4)*(-p - 1 + 1) + (-2*p + 0*p + 0*p)*(0 + 2 - 3)).\nAnswer: -312*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3136.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 6*k + 10)*(k + k - 4*k) + (0*k + k - 2*k)*(-2 - k + 2) + (-5*k + 2*k**2 + 5*k)*(4 - 4 - 2) as g*k + r*k**2 + h and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 15 = 6*c. Suppose 0 = -c*m - 16 + 4. List the prime factors of (0 - 212\/m)*1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*a + 4*i + 21, 3*a - 13 = -5*i. Find the second derivative of -a*z + 71*z**2 + 6*z**5 - 71*z**2 + z wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3 - 290*v**2 + 275*v + 570 = 0.\nAnswer: -1, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-52)\/(-20))*55\/2. Suppose -4*f = -5*m + 266, -7*m - 4*f - 212 = -o*m. Suppose -63 = -3*h - 9. Calculate the smallest common multiple of h and m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*n + 7590 = -565*n - 602*n for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 35. Solve 16*y**4 + 14*y**3 + 47*y**3 - 12*y - 16*y**5 - 17*y**3 - a*y - 16*y**2 + 8 = 0.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 158 + -164. Let z(s) = 4*s + 26. Let g be z(t). Solve 0*a = g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:34 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275723652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-364)*20*(1771\/(-33))\/23.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0587 - 4.0587. What is the third biggest value in 0.3, m, -2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280575 and 1161?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 4*q**2 - q + 4. Let k be r(-4). Suppose d - 1 = k. Let c be (2\/4)\/(1\/6). Solve 2*f + d = -b, -4*f + c*f + 6 = -3*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)*s\/s**(5\/6)*s*((s\/(s*(s**(-2\/29)\/s)\/s))\/s)\/s*s*s**25)**(2\/89) assuming s is positive.\nAnswer: s**(1541\/2581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6712216, 1, 6 in ascending order.\nAnswer: -1, 1, 6, 6712216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -569 + 568.9. What is the nearest to 2\/7 in -10, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19883606, -19883539, -19883472, -19883405, -19883338?\nAnswer: -19883271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-6))\/(4\/30). Suppose 4*n + a = 0, -k + 4*n = -3*k - 14. Solve 0*o + k*o + 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 - 1 = 0. Let v be 0 + g + 1 + 3. Solve -v*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*k**5 - 6*k**3 - 2*k - 1107?\nAnswer: 1760*k**3 - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 11*t = -8. Suppose 2 = -t*b + 74. Let i(y) = -16*y - 122. Let r be i(-11). Calculate the greatest common factor of r and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10642 and 1878?\nAnswer: 31926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 18*d**3 + 2*d**2 + 2*d**2 - 1 - 17*d**3 in the form q*d**2 + m*d + h*d**3 + j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -u. Let f(v) = -v**3 + v + 1. Let a(r) = 12*r**3 - 8*r - 8. What is u*f(y) + a(y)?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -3\/8, 496?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -28. Suppose -v + 2*m + 41 = c, -v + 10*m + 26 = 5*m. Let l = v + -130. What is l rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 107166*u**2 - 953068500*u - 71115125688.\nAnswer: -3*(u - 17898)**2*(u + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + c + 3*c - 3 = 0, -4*c = 12. Suppose -11 = -2*r - 3*f + 18, -5*f = -r - t. What is the remainder when 308 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**2 + 2. Let w(s) = -14*s**2 + 5. Let z(p) = 5*j(p) - 2*w(p). Let n(h) = -7*h. What is n(z(q))?\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**3 - 6*f**2 - 12. Let s = 24 - 30. Let r(k) = -21*k**3 - 17*k**2 - 35. Let h(q) = s*r(q) + 17*n(q). Differentiate h(y) wrt y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 31.2. Let x be -6*(-1)\/2 - 8. Which is the closest to r? (a) 0.2 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 628*t + 8551. Determine m(-14).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*c - 20 = 0, -4 = -3*c + c. Let q be 4\/14 + o\/7. Factor 0 - 2*v**3 - 1\/3*v - 1\/3*v**5 - 4\/3*v**q - 4\/3*v**4.\nAnswer: -v*(v + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(209)\/(sqrt(44) - sqrt(11)).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 1. Let m(h) = 39 - 77 + 40 - 9*h. Let p(d) = 3*m(d) + 7*w(d). Let g(u) = -u - 3*u - 1 + 5*u. Give -6*g(q) + 7*p(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 + 166. Is 2566*r\/(-10) - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3)\/a**(-2\/5))\/(a\/a**0)**(-17))**(-3\/11))**(-47) assuming a is positive.\nAnswer: a**(10152\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 8*n - 2. Let o(r) = -3*r**2 - 16*r + 5. Let h(d) = 3*o(d) + 5*t(d). Let p(s) = s**2 + 9*s - 4. Let a be p(-10). Calculate h(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/10 (b) -1438\/7 (c) 4 (d) 5 (e) -5\/2 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*m**2 - g**2 - 8*g*m - 5*g + 7*m**3 wrt m?\nAnswer: 2*g**2*m - 8*g + 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15 - (-14 - -9))\/(1\/(-719)).\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*b, 7*g - 81 = 2*g - 3*b. What is the least common multiple of 324 and g?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*f = 36, -36 = -3*c - 2*f - 9. Let z = 3511 + -1636. Suppose -258 - z = -c*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(9\/4)*v)\/(v**(6\/11)\/v)*(v*(v\/((v*v\/(v*v**5*v)*v*v)\/v))\/v)\/v**16 assuming v is positive.\nAnswer: v**(-475\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 250.453l?\nAnswer: 250453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20.4*20.4\nAnswer: -416.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 - 26 = 0. Let x be (-5)\/20 + s\/(-4). Which is smaller: 1\/3 or x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18266139959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -525045?\nAnswer: 525102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 1)*(0 - 1 - 4)*(2 + 4*y + 0 - 6*y + (-2 + 0 + 3)*(y + 1 - 1) + 3*y - 2*y + y) to the form d*y + u and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 436512.\nAnswer: -873024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/20 + (-12)\/30*1. Let b = -5 + 7. Suppose -o*x = -6*x + y + 19, b*y = -6. Solve i + x = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-21) + 17396\/126. Let h = 138 - f. Let c = 1 + -1. Which is greater: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 0, 3, -21, -1, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-3 - -2))\/4. Let c = -6 - -8. Suppose 0*l + c*l = 4. Solve q*w = -l*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 839252230597 - 17.\nAnswer: 839252230580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 30 = -27, 5*f + 2 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 14*m = -6. Let r(u) = 2*u + 5. List the prime factors of r(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/7 - 101*g**4\/7 + 983*g**3\/7 - 815*g**2\/7 - 4978*g\/7 - 440 = 0 for g.\nAnswer: -110, -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -982990 divided by 5?\nAnswer: -196598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-9))\/((-7)\/(-126))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p - 30. Let q be a(7). Let l = q - -64. What is the greatest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -101, -155, -209, -263?\n\"Answer: -54*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (7 + -2 + 0 + (-1 - 6))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t*t**(2\/5))*t))\/(t*t*t**(6\/11)*t))**(-47) assuming t is positive.\nAnswer: t**(10716\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9 - 4*z + 8*z + 0*z - 14. Let f(v) = 3*v - 4. Give 6*f(s) - 5*w(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109.3641 - 0.0359. Let t = c - -107.4. Suppose -4*z + 8*z + 8 = -4*w, -w + z = 0. Sort 3, t, 0.1, w.\nAnswer: t, w, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 77. Solve 2*x = -m + 13, -3*x + 0*m = -2*m - d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/27 + (-534)\/(-27). Let p = j + -4. Let t be p\/42*(-54)\/(-24). What is the third biggest value in 2\/7, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 457194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 13*l**2\/2 + 67*l - 3903. Determine b(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.258 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 667671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2515 less than -2707319744?\nAnswer: -2707317229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - u - 253 = -5*b, 4*b + 4*u = 268. Is b >= 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1\/12)*(-14 + 23)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3745*i**5 + 2*i**3 + 61*i**2 - 857*i + 385.\nAnswer: -74900*i**3 + 12*i + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52729559 is divided by 52729509?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9438883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**6\/6 - 11*l**2\/2 + 8*l. Differentiate a(r) with respect to r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -103 + 99. Sort o, 5, 2, -5 in descending order.\nAnswer: 5, 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 - (1 + -2 - (-2 + 42))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (96 - 92 - (0 - -5)) + 3 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -3*b**3\/2 + 46*b**2 - 75*b + 18. Determine m(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2. Let d be q(-1). Suppose 2*r - 2 = 5*g, -4*g - 5*r + 3*r = -2. Let i = 3 - g. Solve 0 = -2*o + d*o + i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 2*w**2 + 3*w + 2. Let g = -31 + 29. Calculate i(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17157.\nAnswer: 3, 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 0. Suppose -5*y = 5, 3*f + 6*y = 2*y + r. Suppose -v + 82 = -3*q, 0 = f*q + 12 + 13. Calculate the remainder when v is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -53199688?\nAnswer: 53199689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3361753 + -6.\nAnswer: 3361747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2. Let m(g) = -16*g**2 + g - 17. Determine m(d(s)).\nAnswer: -256*s**4 + 4*s**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ffufffffu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5\/7 + 1374*b**4\/7 - 70260*b**3\/7 + 264648*b**2\/7 - 259200*b\/7 = 0.\nAnswer: 0, 2, 54, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/9)*d)\/(d\/(d\/(d*d*d*d**(9\/5))*d)))\/(d*d*(d*d**(-8))\/d*d)**(-1\/7) assuming d is positive.\nAnswer: d**(-967\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10589090 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 7 - 138*h - 466 + 137*h to c*h + m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*t - 4*t - 4*c, 0 = t - 3*c - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1539) + 2 - 2*(sqrt(1539) + 1))**2*-5*-2*4.\nAnswer: -720*sqrt(19) + 61600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffafffaff. What is prob of picking 1 a and 2 f?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/5)\/((-2)\/(-5)). Let j = -2.9452 - 0.0548. Put -1, m, j, 3 in ascending order.\nAnswer: j, m, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from {d: 1, p: 3, c: 10, i: 1, k: 2, e: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1372 + -9?\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2655770 and 2168140?\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 4, 3575, -5, -2, 8 in descending order.\nAnswer: 3575, 8, 4, -2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(-94*z - 3632 + 3632)*(14 + 3 + 3 + 6 - 3 - 1 + (-2 + 4 + 0)*(4 - 2 - 4) + 0 - 1 + 2 + 4 - 2 - 1) as f + a*z and give a.\nAnswer: 3760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -243*k**6\/40 + 486*k**5\/5 + 1152*k**4 + 13312*k**3\/3 + 8192*k**2 - 7190*k. Factor v(s).\nAnswer: -(s - 16)*(9*s + 16)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-12 - (1 - 4)). Calculate the highest common divisor of 27 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1 - 3 - 4*q**2 + q - 5*q**2 + q**3. What is the smallest common multiple of t(9) and (-4)\/(-18) - (-208)\/36?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1233725039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2639213842 + 0.6479\nAnswer: 2639213842.6479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6458, 12810, 19176, 25562, 31974, 38418, 44900?\nAnswer: 51426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 197*j**2 - 13.\nAnswer: -197*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1585*g - 106320 = -300*g + 323*g - 210*g for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.83 - -0.209. What is o rounded to one decimal place?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*j + 678*j = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -106. Let u = p - -45. Are 0 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 67*j**2 + 242*j - 634. What is s(-63)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:48 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - h - h - 19 + 5 + 34*h**2. Is b(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from dxxxzbbzbxxxbzxb?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 120*v**2 + 85*v. Let x be -8 + 4 - 10\/5. Let p(f) = 122*f**2 + 83*f. Let d(y) = x*k(y) + 5*p(y). What is the second derivative of d(c) wrt c?\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.48 minus -5?\nAnswer: 29.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -851 - -850.6. Let c = 590\/13 - 361\/26. Let z = 32 - c. Sort q, -0.1, z, 0.3 in descending order.\nAnswer: z, 0.3, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*(-45)\/198 + (-5)\/(-15). Which is greater: n or 900?\nAnswer: 900","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekejkjjkekkekekhkkkl. What is prob of picking 1 k, 1 l, and 2 j?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.119 + 0.08. Let b = -0.781 - -0.8. Let n = b + f. Round n to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12194 divide 5825517316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -30232321?\nAnswer: 30233001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-82752)\/(-10)*(-3800)\/(-570).\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*t - 4*o + o, -2*t - 5*o = -12. Let b(g) = -t - 14*g + 6 + 5. What is the remainder when b(-2) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -415430.14 to the nearest 1000.\nAnswer: -415000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 8 - (6 - (8 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbxllt. Give prob of sequence llxt.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -2\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -368, -1545, -3508, -6257, -9792?\n\"Answer: -393*q**2 + 2*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 8:51 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 56*m. Let g(a) = -2*a. What is g(f(d))?\nAnswer: 2*d**2 + 112*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3 + 1))\/((-246)\/492). Let p(t) = t**3 - 6*t**2 + 2*t - 9. Let o be p(6). Solve 0 = o*g - h + 12, 16 = i*g - 6*g + h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/17 (b) 2\/11 (c) 1\/5 (d) -0.5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(3*sqrt(99)).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 634015, 1267870, 1901415, 2534494, 3166951, 3798630?\n\"Answer: -26*c**3 + c**2 + 634034*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49604*b - 49598*b + 48 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + -1 + 0 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:45 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276 by -2.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -11*n**5\/60 - 5*n**2 - 8*n. Let b(h) = -88*h**2. Give 4*b(u) - 33*p(u).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 14*f - 10. Let d be k(6). Is d > 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196274 at most 196270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoeeezeeeezegee. What is prob of picking 1 g and 2 e?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*y - 111*y + 0 + 0 + y**2.\nAnswer: y**2 - 45*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1376\/499 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 12. Let d(o) = 3*o + 3. Let i(f) = -2*f - 2. Give x*d(z) + 5*i(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(-1 + sqrt(80) + sqrt(80)) - -2*sqrt(80)*2))**2.\nAnswer: -4608*sqrt(5) + 184464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 422 - 19. Calculate the highest common factor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1904677 and 564471?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178596038 to the nearest integer?\nAnswer: 13364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*m = 4*p - 236*m - 17, -25 = -5*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 25*w - 26*w + 9 + 252. Let l(o) = -8*o**2. Determine v(l(b)).\nAnswer: 8*b**2 + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-5 + -2 - (1 - 6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334495 = 92*f - 373721. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5967.8 + -908.8. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -443 (c) 0.4 (d) 13433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 40*v + 82. What is z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r - 2. Let i be p(-2). Suppose 0 = -4*n - d - i*d + 77, -4*d = 3*n - 58. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655323.6l to millilitres.\nAnswer: 655323600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 16. What is the smallest value in 1\/5, -2\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((117\/3380)\/((-24)\/(-128)))\/(2\/(-10))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.18 (b) -0.3 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let q be 9 - (-1 - 0\/4). Suppose 2*r - q = 0, -4*n + 9 = r - 0*r. Let x(c) = 1 + 40*c - n - 42*c. What is h(x(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 23*d**2 + d + 14. Let t be z(-23). Put 5, 4, t, 2 in decreasing order.\nAnswer: 5, 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2 - 404*l - 5264 = 0?\nAnswer: -188, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 2. Let v be c(-4). Let n(f) = -20*f**3 - f. Let z be n(-1). What is the highest common factor of z and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let x = -941 - -860.6. Let v = 77.4 + x. Put -0.3, v, 4, g in decreasing order.\nAnswer: 4, g, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*m - 1 + 86*m + 3 - 24*m**4 wrt m.\nAnswer: -288*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2595486*o**2 - 2260670*o wrt o?\nAnswer: 5190972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*t - 144*t + 236*t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1768240 and 136400?\nAnswer: 97253200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**3 - x**3 - x**3)*(-3 - 4 - 3)*(0*x + 2*x + 0*x) in the form u*x**4 + z*x + i*x**3 + l + k*x**2 and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 10. Let z be t\/2*(-8)\/10. Let c(s) = 2 - 1 + 3*s + 0*s**2 + 2*s**z. Calculate c(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16556438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-270)\/(-12))*9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30138011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/42*(14\/(-140) - (-29)\/(-110))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-14)\/(-140)*-1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 7*w**5\/20 + w**4\/2 + w**3 + 3*w**2 - 4*w - 9. Let b(z) = 15*z**3 + 13*z**2 + 13*z + 13. Determine 6*b(f) - 13*v(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {w: 1, p: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.3. Let s = 12 - 10.1. Let j = 1.2 - s. Put p, -1\/2, j in descending order.\nAnswer: p, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 10. Suppose -5*h - 4*s = 12, -5*s - 24 = -5*h - 9. Suppose a + 2*a - 48 = h. What is the remainder when a is divided by f(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {z: 2, v: 1, g: 1, c: 1, i: 1, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -149, -353, -643?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32273743 a multiple of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31938277 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -182, 0, -5, 5, -79 in descending order.\nAnswer: 5, 0, -5, -79, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/(1\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**3\/3 + z**2 - 6*z + 14101. Suppose 5*w + 21 = -3*r, -2*r + 0*r - 13 = 3*w. Determine n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 0.0589.\nAnswer: -0.2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(1\/2)))**(-6))**(-2\/11)\/(i**0\/(i*i**5)*i\/(i\/(i**(-5)\/i))*i*i*i**(3\/8)*i) assuming i is positive.\nAnswer: i**(711\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 179 - c?\nAnswer: 16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6674389*s**2 - 1237364?\nAnswer: 13348778*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3782334 and 2463213?\nAnswer: 2182406718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1639690 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -212123?\nAnswer: -212123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + -4*((0 + sqrt(68))*-4 + 3)).\nAnswer: -192*sqrt(17) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -159 + 174 + -5 + -44?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8042*t**4 + 3411 with respect to t.\nAnswer: 32168*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -2, -3 in increasing order.\nAnswer: -6, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -258*w. Let s(n) = 2*n**2 + 9218. Give s(x(p)).\nAnswer: 133128*p**2 + 9218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*k**2 + 8459*k + 248655 with respect to k.\nAnswer: 24*k + 8459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -13*j**3 - 7*j**2 + 5*j + 6. Let n(c) = 25*c**3 + 15*c**2 - 12*c - 14. Give -5*m(f) - 2*n(f).\nAnswer: 15*f**3 + 5*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -x. Solve 3*z + 4*k = k - 15, 12 = -x*z - 4*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 25*a. Let x(v) = -374*v. What is -44*r(t) - 3*x(t)?\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-180)*-10)\/((-9)\/(189\/133)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6265132 (base 8) to base 15.\nAnswer: 22d7bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. What is the smallest common multiple of (-18)\/(-6) + 6\/d and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microsecond in nanoseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (-189 - -193)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 479098 to the power of 1\/2, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 times -2?\nAnswer: -904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*f - 53*f - 274*f = -5790 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**2 + 0*i**4 + 0*i + 0 + 1\/3*i**3 + 1\/30*i**5. What is the derivative of q(x) wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5576, 5570, 5566, 5564, 5564?\nAnswer: 5566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*q - 72 = 0, p + 3*q = 6 + 18. Suppose 5*w = 2*h + 16, 4*w - p = -3*h - h. Calculate the remainder when 14 is divided by h\/4 + (-14)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-2*4 + sqrt(143) + sqrt(143) - sqrt(143))\/(-2*sqrt(33)\/sqrt(3)))**2.\nAnswer: 637\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1200*v - 972026. Give i(810).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - -266.88. Let v = i - 270. Sort 3, 1, v, -2 in increasing order.\nAnswer: v, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:57 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 + 15*p**3 - 9 + 9*p + 5*p**3 - 21*p**3. Let b be i(7). Suppose -5*g + 2*w + 25 = -2*w, g = 3*w + b. What is the closest to -0.1 in g, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 2. Suppose -5 = 4*t - 13. Let x(j) = -j**3 + 3*j - 3. Determine t*x(y) - 3*k(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 975.919?\nAnswer: 195.1838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 + 1032*b\/5 - 3069\/5.\nAnswer: -3*(b - 341)*(b - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -91, -382, -987, -2020?\n\"Answer: -19*d**3 + 14*d**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*k - 11 = -62*k - 3*x, -2*k = 5*x - 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1736, -14.\nAnswer: -14, -3, 1736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 12*g + 16. Let c be m(11). Let b = 8 - c. Is (b + (78 - -2))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/23*(-1)\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 5*g**2 + 6*g + 1. Let o be q(-6). Suppose 0*b + 3*b = 30. Let t = b - o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/12*(-2 - 1). Let f be (-6)\/(-3) - (-3)\/w. Suppose 0*p + p = 0. Is p greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 40*n**3 - 44*n**3 + 2*n**2 + 80*n**3 to the form k + d*n + v*n**3 + f*n**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0019 and 318?\nAnswer: 0.6042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 - 8 = 0. Suppose 6 + a = 5*i. Suppose 0 = i*r - 6 - 0. Solve 8 = -r*k + k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:36 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 218.74 * -2196.\nAnswer: -480353.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 2.806.\nAnswer: 0.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-3 + 0)) + (-21 - 9). Let q = -48 - l. What are the prime factors of (q*3)\/(1\/(-2))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14848 (base 11) in base 3?\nAnswer: -1001210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5264)\/517 + 4\/66*3 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65\/28 - 18\/7. Let j = 4 + 0. Let z = -1.22 + 0.72. Which is the nearest to -0.2? (a) j (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 21 + 21 + 8*y + 15*y in the form j + k*y + t*y**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -8, 2\/3, 672?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 391267*j**2 + 889226*j + 1 wrt j?\nAnswer: 782534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5013 (base 10) to base 2.\nAnswer: -1001110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + 2 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 27 - 48 = -12*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -467, -689, -903, -1109?\nAnswer: -1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c72 + 3?\nAnswer: 4c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 462\/126 + 1\/3. Solve w*r + 9*r = -7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6*(0 + -4)*-15. Let q(o) = -o + 1. Let b(c) = 5*c - 10. Give x*q(u) - 3*b(u).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.2867 to one decimal place.\nAnswer: 68.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*v - 9052 = -1292*v - 2115 - 111113 for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (929775\/(-644))\/(-175)*1*(-8)\/2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 8. Suppose 15 = y*l - 3*c, -2*l - 4*c + 6 + 0 = 0. Find p, given that 40*p**l - 17*p + 29*p**4 + 12*p**3 + p - 9*p**4 + 16*p**2 = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7241*p**3*q**3 - 2*p**3*q + 24*p**3 + 39403*p**2*q**3 + 27*p**2 + q**3 wrt p.\nAnswer: -43446*q**3 - 12*q + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 27*b + 4. Suppose 5*w + 2*m = 75, -4*m + 60 = 4*w - 0*w. What is the remainder when n(-6) is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*f = -5035 + 28438 + 7819 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/((-5168)\/13566)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -11. Let f = -6 + -11. Let z = 25 + f. What is the greatest common factor of z and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3552697 to four dps.\nAnswer: -0.3553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1775, -1780, -1797, -1832, -1891, -1980?\nAnswer: -2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1375\/(-80) - (-48)\/(16 + -8)) + 11?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74355, -74363, -74383, -74421, -74483?\nAnswer: -74575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638920647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8779, 35146, 79101, 140650, 219799, 316554?\nAnswer: 430921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-12))\/(2\/177). Round k to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 4*v**2 - 6*v**2)*(2*v - 1 + 1) + ((5 - 8 + 4)*(-4*v**2 + 3*v - 3*v) + 2*v**2 - 2*v**2 - 3*v**2)*(-v + 7 - 5 - 4).\nAnswer: 3*v**3 + 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**3*f))\/f)\/f*f)\/(f\/((f\/(((f*f\/f**(2\/5)*f*f)\/f)\/f))\/f)))**(-8)*((f*f*(f*f**5\/f*f*f)\/f)\/f**(-2\/5))**29 assuming f is positive.\nAnswer: f**(1482\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 2 - (-31 - -26)) + 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:04 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 1 - 21*t**4 - 2*t**2 - 6*t**4 + 52*t**4 - 16*t**4 in the form d*t + o*t**4 + a*t**3 + f*t**2 + r and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 41 (b) -2\/9 (c) 0.3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**3*g*s - 1127*f**3*g - f**3*s + f**2*g*s + 4*f**2*g + 95*f*g*s - 18 wrt f.\nAnswer: 30*g*s - 6762*g - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 71004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12262?\nAnswer: 2, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 0.15948162545265?\nAnswer: 0.04051837454735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, j: 1, v: 4}. Give prob of sequence vj.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 5*z + 4. Let p be i(4). Let s = -6 - -14. Suppose 0 = -5*b - 3*t + 20, -s*b + 10 = -3*b + t. Solve p = h - q, b = h + 3*q - 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2094, 4186, 6278, 8370?\n\"Answer: 2092*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(72) + 1 + 4)**2 - -5*(sqrt(80)\/(2*sqrt(8)))\/sqrt(5).\nAnswer: 172 + 245*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 - 5*m**2 + m - 4. Let z(a) = a + 12. Let c be z(-5). Suppose -2*u + 3 = -c. Is g(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -5.5. Let y = 3\/13 + -34\/91. Let q = 2\/15 + -4\/5. What is the nearest to q in -0.2, g, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 x when three letters picked without replacement from {x: 2, d: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05049737 to 3 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -21238 bigger than 1579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/9*30\/660*33?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.955 rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494649.\nAnswer: 3, 17, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2912)\/70)\/(-52))\/(3\/(-6)*-12)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and -0.2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 2*sqrt(396) + -1)**2.\nAnswer: -36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-10))\/((-9)\/6)*1. Suppose 4*l + 25 = -l. Sort -1, l, s in decreasing order.\nAnswer: s, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (11 - 21 - -13) - -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1\/12, -2, -7\/4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 102. Suppose t = 5, -4*y + 2*t + 1 = k. Solve y*f - 4*f + 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11504 + -11501. Solve o*p - 170 = 37*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/13 - -37\/65. Let k = 15.11 - 15. Let j = k + 0.09. Which is the nearest to z? (a) -0.3 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6743.1 + 0.3\nAnswer: 6743.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/16 + 106317\/48?\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*i + 2, -5*u + 2396 = -3*i. Suppose 4*x = 2*b - u, -4*x + 2*x + 1195 = 5*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 118*f - 531. Determine x(54).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27\/2 + 100\/200*3*-1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 45 + -38 - -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11882 - -37171?\nAnswer: 50163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -21. Suppose -3*m + 28 = f, m + v*f - f - 20 = 0. Solve 0*a - 2*z - m = -2*a, -5*a = -z - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 19*j. Let d(s) = -s**2 - s + 22. Let l be d(-5). Let p(c) = 1423*c**2 + 1429*c**2 - 2864*c**l. Determine a(p(h)).\nAnswer: -228*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/2 + u. Let m(b) be the second derivative of b**3\/6 - 6*b. Give m(d(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -8. Suppose 9*t - 11 = -3*m + 10*t, -2*t = -4*m + 12. What is the third derivative of 19 - f*i**5 - 6*i**2 - 19 - i**m wrt i?\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.20000075 + -1.2. What is p rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, g: 6, f: 1, v: 3}. What is prob of picking 1 z, 1 g, and 1 f?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/9 + 10*l**2\/9 - 8*l\/9 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o**2 + 10*o**2 + 15*o**2 + 7033 - 7033 + 24*o**2 + 3*o**3.\nAnswer: 3*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 3756318.\nAnswer: -49\/3756318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87304900 or 87304899?\nAnswer: 87304900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, -171, -506, -993, -1638, -2447, -3426, -4581?\nAnswer: -5918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 + 36*q - 97. Let l be g(3). Put l, -2, -4, -5 in decreasing order.\nAnswer: l, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-1 + 2)\/(-1). Suppose 4*u - 5*u + c = 0. Let f**u + 0*f**2 - 2*f + 3*f**2 = 0. Calculate f.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c**2. Let s(x) = x - 27170*x**2 - x + 26917*x**2. What is s(q(j))?\nAnswer: -25300*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*d + 3)*(-4*d**2 + 0*d**2 + 0*d**2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2307199, -3, 23, 0 in decreasing order.\nAnswer: 2307199, 23, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y + 35. Let i be t(-2). Suppose -4*r - 16 = -4*j, 4*j - 2*r - i + 1 = 0. Solve 4 = 11*n - j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0, -0.3, 4, -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 15*r**3 - 7*r**2 + 111*r - 1092. List the prime factors of v(9).\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z + 3*z - 4*h - 21, 6*h - 61 = 5*z + 6*h + 4*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -7 + (-4)\/2. Let r(g) = -g**3 - 4*g**2 - 2*g + 5. Let n be r(k). Suppose -n*l = -194 + 74. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (((sqrt(384) - sqrt(24))*3)\/sqrt(8) - (1 + -1 + sqrt(48) + sqrt(3))**2).\nAnswer: -78 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(357))\/sqrt(7) - sqrt(51)) + sqrt(51) + (sqrt(459)\/(sqrt(9)*-1) - sqrt(51)))\/((sqrt(300)*5)\/sqrt(4))*1)**2.\nAnswer: 153\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4427 or -3262102\/737?\nAnswer: -4427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-2) - (-31)\/(310\/56). Which is the closest to n? (a) -3 (b) -6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2. Let t(s) be the second derivative of 449*s**4\/6 + 13796*s. Determine t(u(j)).\nAnswer: 72738*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53638?\nAnswer: 2, 13, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 10525648*h.\nAnswer: -10525648*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 12. What is the units digit of 52\/8 + h\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33062 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 18*s**2 + 2*s - 30. Determine j(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/2 - -2*149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 1691 - 244 = 0. Let r = -126 + g. Solve r*l = 4 + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 + 0.27. Let x = o - -1.85. Let j = -3 + x. Which is the biggest value? (a) j (b) 0.03 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -987, -1981, -2981, -3987, -4999, -6017, -7041?\n\"Answer: -3*c**2 - 985*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18, 4 in descending order.\nAnswer: 4, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ege when three letters picked without replacement from {r: 1, e: 6, g: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/800 and 17\/22.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/62 and -109\/1302?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10024852.\nAnswer: 2, 421, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 2219, -18, 1 in ascending order.\nAnswer: -18, -9, 1, 5, 2219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-4)*54\/18*(-858)\/(-585).\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.1. Let t be (2*6\/(-16))\/(486\/216). What is the closest to t in -1, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/(-2))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1728 and 101952.\nAnswer: 101952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(3*-1*sqrt(143) - sqrt(143)))\/((sqrt(88) + -1*sqrt(88)*2)\/sqrt(8)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 363 and 51711.\nAnswer: 568821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.2. Let c = -161\/246 - 1\/82. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 0.6722?\nAnswer: -0.047054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -13512 + 96804. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101115 or 0.65?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 4:37 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u - 43*u = -5*a + 270, 4*a - 223 = 3*u. Solve 32*l = 84 - a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 21.11. Let t = -0.1 - j. Round t to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrrtrrtrrrrrt. Give prob of picking 1 r and 2 t.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**2 - 197. Let a(r) = r - 833. Determine k(a(f)).\nAnswer: 2*f - 1666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -1. Let u be 50\/((1 - -3)\/2). Let p be 4\/(-6) + u\/15. Which is the smallest value? (a) v (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 10*b - 10. Let o(q) be the third derivative of q**4\/12 + q**3\/3 + 2*q**2. Give 2*l(p) + 11*o(p).\nAnswer: -2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 6*l + 2*l)*(2 + 0 + 0)*(89763 - 17*l - 89732 + 3*l) to the form b*l**2 + k + g*l and give g.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and (-345)\/(-10 + (-238)\/(-28))?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1 - -0.9. Let p = 7 - m. Let s = p + -6. Put s, 0.1, -0.1 in decreasing order.\nAnswer: 0.1, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 7*p - 23 - 34 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2398*h**6 + 24*h**4 + 25*h**3 + 23450755*h**2?\nAnswer: -287760*h**3 + 576*h + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 22. Suppose 0 = -10*y + d*y + 57. Suppose -4*j + 188 = 5*f, f - y = j + 15. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011110010011000 - -1001101?\nAnswer: -101011011110001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1832*c - 115448. What is d(-63)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (22 + -8 + 34 + -31) - (130 - -1).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 36*m**2 + 34*m + 35. Let q be r(35). Let h = -1 + 0.5. Let z = -1.5 + h. Put z, 3, q in increasing order.\nAnswer: z, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54247 - 54247 - 116*o.\nAnswer: -116*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 94 + 16 = 2*o, -q = 2*o - 54. Suppose -q + 179 = 9*v. What is the remainder when 43 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3051 is divided by 458?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p. Let z(u) be the first derivative of u**4\/12 - 3*u**2\/2 + 1. Let w(b) be the second derivative of z(b). Calculate j(w(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 8*c**2 - 3*c + 2. Calculate q(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -898 + 918.61. Let h = 22 - l. What is h rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4204 and -53\/3724744.\nAnswer: 3724744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 4112.\nAnswer: 20560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -120 - -7?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 5, 4, -30 in descending order.\nAnswer: 26, 5, 4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-76 - 1)*(0 + 0). Is -50\/707 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2547, -19, 1\/13, 0.3, -1\/4 in decreasing order.\nAnswer: 0.3, 1\/13, -1\/4, -19, -2547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 1. Let o be u(-1). Let y be (-24)\/(-84)*(-21)\/12. Let d = -0.2 + 0. What is the closest to d in y, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 3579769\nAnswer: 40\/3579769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -30?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 86 and -20.\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + -3.07. Let h be -10 - (-3 - 149\/21). What is the nearest to -0.1 in 2, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 17227.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 1) + (6 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlet when four letters picked without replacement from zenluuuzlutuuuuz?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2306863.934 and -2722.\nAnswer: 2304141.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -266*l. Let m(h) = -h - 17. What is m(g(w))?\nAnswer: 266*w - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:15 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -0.3 (c) 373\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*w = -5 + 8, 12 = 6*y - 5*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*k**2 - 17*k**2 - 29*k**2 in the form c*k**2 + u + a*k and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001201 (base 3) to base 12.\nAnswer: a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 4*g + 95. Give y(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -229 + 471. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -223, -331, -439, -547, -655?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 6656 + 6826 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 478 - 184. Suppose -2*l + a = -368. List the prime factors of l.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/25)\/(1\/5). Suppose 28 = 2*s - 5*p, -3*p + 1 + h = s. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534241 = -2*l - 6165. Suppose 2*s + 2250000 = 5*x, -2*x + 5*s + 1164038 - l = 0. Round x to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/8 and -4\/401.\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00077535 to five dps.\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5\/7. Let m(c) = c**3 - 5*c**2 - 5*c - 6. Let z be m(6). Let l be (z + 1 - 1)\/1. Is d at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 x when three letters picked without replacement from vxxovqoozqov.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.69 + -0.01. Let v = -0.2 - i. Let q = -82 - -248\/3. Which is the nearest to q? (a) v (b) -0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035977007 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence loal when four letters picked without replacement from lzlplllgoaoo.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 613005, 612979, 612939, 612885, 612817, 612735, 612639?\n\"Answer: -7*u**2 - 5*u + 613017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 522219409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -57. Let d = k + 99. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*w + 466 = -188*w + 85*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 11*v = -2424. Suppose 0 = -2*u + 7*u - k - 15, 5*u - 5*k = 35. Suppose 174 = -u*m + v. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(sqrt(40)\/sqrt(5)) - sqrt(10) - sqrt(10)) + sqrt(10) + (sqrt(90) - (sqrt(90)*-3 - sqrt(90) - sqrt(90))))\/(1*(sqrt(50) - sqrt(5000))*1).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 226 - 226. Let s = 9\/110 + -2\/11. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bblllahblllhhhhhb. What is prob of picking 3 h?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -26, 2, 5.\nAnswer: -26, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 0. Let h = -224 - -2462\/11. Which is the smallest value? (a) -0.1 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1220\/2928)\/(4\/96)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2127172 divided by -2?\nAnswer: 1063586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -1) + 15\/6. Let c be 10*(-18)\/(-12) + -20. Sort u, c, -0.5.\nAnswer: c, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120583951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1311 and 37?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 15. Suppose 5*a - 7 = 13. Suppose -g*s - 4*t = -20, -11 - 7 = -a*s - t. What is the third smallest value in s, 0, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 + -0.48. Let j = 15.91 + -16. Let k = p - j. Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u + 624 = 58*u for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5020 + -12?\nAnswer: 5004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y - 590917. Let n(k) = -2*k. What is b(n(z))?\nAnswer: -22*z - 590917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b - 17*b + 6*b + 12*b + 19*b + 3 in the form r + o*b and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -63. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2916) - 2*sqrt(2916))\/sqrt(12))**2 + 5 + (3*((sqrt(96)\/sqrt(4))\/sqrt(8) - sqrt(3)))**2.\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 2030822 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(57)\/sqrt(3) - sqrt(57)\/sqrt(3)*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*7\/(-133)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44505578.\nAnswer: 2, 13, 1711753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*k**2*r + 1649908*k**2 + 135*k*r - 23*k - 2638*r wrt r?\nAnswer: -20*k**2 + 135*k - 2638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3174 is divided by 1806?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-15)*(-18)\/24?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710000 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12395 - 3499. Calculate the remainder when w is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19450 is divided by 9656.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458 is divided by 364.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*q = 1638 + 749 + 1375 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 151, 16, -134 in decreasing order.\nAnswer: 151, 16, -32, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 373060 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -8*n - 264. Let o = 6 - n. Is 49 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324942 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*f - 80, 3 = -5*f - 22. Let z be -3*(-2 + (-60)\/d). Let y be (z\/(-24)*2)\/(1\/9). Solve 2 - y = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/((-9)\/12))\/(6\/(-69))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (140\/(-8))\/5*-6. What is the units digit of (196\/k)\/(1\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 4 (c) 17 (d) -113260 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 = 5*t. Let y be t\/(-12)*(-45700)\/6. Let z = -1909 + y. Calculate the common denominator of z and 31\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (456 - 868*r - 456)*(-r + 7 - 7)*(r - r - 2*r) + (3*r**2 + 0*r**2 - 4*r**2)*(-2*r + 0 + 0).\nAnswer: -1734*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12 - 11) + 15 - 9) + (-2 - 23)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, b: 3, g: 7}. What is prob of sequence abb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(50) + sqrt(200)\/sqrt(36))\/(sqrt(640) + sqrt(640)*-1 + sqrt(640)))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*g**2 + 21*g**2 + 12*g**2)*(6*g + 0 + 0) + (3*g**2 - 4*g**2 + 2*g**2)*(1 - 2 - g + 3).\nAnswer: 41*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-2 + -1))*17. Suppose -5*z + 4*z = -87. Suppose 5*s + v = z. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6536*t**3 - 56*t**2 + 5*t + 5. Let j(d) = 32682*d**3 - 282*d**2 + 26*d + 22. Let r(n) = 3*j(n) - 16*k(n). Find the third derivative of r(o) wrt o.\nAnswer: -39180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1248 (base 10) to base 3\nAnswer: 1201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2 + -2)\/((-66)\/(-44))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000100110010100110100 + 100?\nAnswer: -111000100110010100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 56. Let q = 20.05 + -20.05. What is the closest to 2\/3 in q, 1\/3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0841706 - 9310.\nAnswer: -9310.0841706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -431\/6. What is the second smallest value in -0.05, 3, y?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*a - 29, -h - 3*h + 3*a - 14 = 0. Let z be 330\/4*(-4)\/h. Suppose -3*v = 129 - 195. Calculate the greatest common divisor of v and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2. Let i(y) = -10*y**2 + 6*y. Let f(j) = -14*j**2 + 49*j**2 - 55*j + 9*j**2 + 46*j**2. Let b(g) = -6*f(g) - 55*i(g). Give b(d(n)).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:22 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, c: 8}. What is prob of sequence jjcc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f**2 - 6. Let k(z) = -9*z**2 + 5. Calculate -6*k(d) - 5*l(d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 - 216 = 0. Let p be 172\/10 + 4\/(-20). Let u = 32 - p. Calculate the remainder when a is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5359 * -120.\nAnswer: -643080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(-1)\/(8\/(-6)). Suppose -v = 2*h - 0. Put -4, h, 8 in decreasing order.\nAnswer: 8, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from sssnssssssns?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4716 - -0.5284. Is 563\/7 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 + 4*w**2 - 3*w + 887. Determine o(0).\nAnswer: 887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w**2 + 143*w - 921. Does 29 divide a(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 28. Suppose -25 = -f*h + 2*h. Solve -5*v + 0*v = -h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*t + 3*t - 104, 270 = 5*p - 5*t. Suppose -p = -4*g + 42. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2761169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 203, 340, 477?\n\"Answer: 137*h + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93.73 - 6.27. Is u < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/11 - (-26)\/(-143). Suppose -6*r - x*r + 512 = 0. Calculate the highest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17814 * -125\nAnswer: -2226750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 22*p**2 - 42*p - 37. Let f be u(-24). Let h = 188 + f. Solve -7 = h*v + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1594036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5786 or -40510\/7?\nAnswer: -5786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -47*m**3 + 18*m**2 + 30*m + 10. Let i(q) = 35*q**3 - 13*q**2 - 22*q - 8. Calculate -11*i(u) - 8*k(u).\nAnswer: -9*u**3 - u**2 + 2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 457 + -19. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 12:09 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 15 = -28*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/(((-99)\/(-24))\/(-11)). List the prime factors of (159\/(-3))\/(2*(-2)\/i).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.4142937 to 2 dps.\nAnswer: -30.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + sqrt(170) + -5*(sqrt(170) + (sqrt(170) - -1*sqrt(170) - sqrt(170))))\/sqrt(10) + -2.\nAnswer: -8*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 4*m**4 - 36*m**3 - 22*m + m**2 + 8*m + 44*m**3 + 6*m.\nAnswer: 4*m*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfdddddmfdfdffdfd. Give prob of sequence mmmd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a. Let o(b) = -2155*b. Give x(o(c)).\nAnswer: -4310*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, -441, -1655, -4019, -7917?\n\"Answer: -64*y**3 + y**2 - 3*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -26, -15, 16, 73?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157*j**2 - 1603 + 1603 - 344*j**3 - 1603*j**2 wrt j.\nAnswer: -2064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*23\/230*27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180769 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/32)\/(-2*1\/8). Sort v, 5, 4, 3 in descending order.\nAnswer: 5, 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1685 + 1668. What is the nearest to -2 in 5, c, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 736 + -735. What is the nearest to 0.1 in -4\/7, a, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -31. Solve u*l = 5 - 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 70*d**2 + 67*d - 132. What is g(-69)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -12 - (15 - (-12 - (-5 + -15)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -526*v + 40. Let h(i) = -351*i + 27. Let f(m) = -8*h(m) + 5*p(m). Let x be f(12). What is x rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**30\/i)\/((i*i**(2\/57)\/i)\/i) assuming i is positive.\nAnswer: i**(1765\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*n - 23. Determine u so that -3 - n - u - 3*u**2 - 20*u = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -4234?\nAnswer: -4240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -5*(2 - 1). Let r be 1 - (1 + -2) - -2. What is t in -r*t - 5*t**2 + x*t**2 - 6*t**2 = 0?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 0, -1 in descending order.\nAnswer: 45, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55750 * -7572.\nAnswer: 422139000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 53523*z - 1123977. What is i(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 2420*t**3 + 386310*t**2 + 19661060*t - 108268675.\nAnswer: 5*(t - 5)*(t + 163)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:01 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2160 by 270.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 12:06 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + 3 + 11 + -3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - 7\/(126\/48)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/10, -4930, 26.7 in decreasing order.\nAnswer: 26.7, -1\/10, -1, -4930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.894 to two decimal places.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:14 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/11 (b) 2\/3 (c) 2.3 (d) -3 (e) -3\/55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:24 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f**2 + 156*f + 121. Is 6 a factor of i(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4 (c) -2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*u = -914, -4*l - 53*u + 1211 = -48*u. What is the greatest common factor of 1748 and l?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uiivveuueevvuuueee.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163896215377 + -52.\nAnswer: -163896215429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 - 371 = 0. Suppose 273 = 11*l + 64. Suppose 3*z = n - l + 7, 5*n = 5*z + 60. What is the remainder when c is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444 and 440596?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6512.5 less than -294?\nAnswer: -6806.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzwzz. What is prob of sequence zw?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*-1*-5 - sqrt(27))*4)\/((sqrt(864) - (-2*sqrt(864) - sqrt(864)))\/sqrt(6)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 49*a**2 - 153*a - 7494. Give r(-49).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*z + 116*z - 27*z**3 + 5*z**3 + 10*z**3 + 13*z**3.\nAnswer: z**3 - 35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l - 25 + 25 - 3*l**2 + (2*l - l - 2*l)*(0*l + 0*l - 2*l))*(-2*l**2 + 1 - 1) to s*l**2 + r*l**4 + u + x*l**3 + t*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/5 - 158*y\/5 + 6241\/5 = 0 for y.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(3\/7))**(-49)*(p**(1\/4))**(13\/3) assuming p is positive.\nAnswer: p**(-323\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 14*x - 34, 3*i + 1206*x - 1208*x - 13 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2843495?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 325*r - 44 = -321*r, 35*n - 2*r = -348 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6001 and -170.65416242.\nAnswer: 5830.34583758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.084 (c) 4 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382432 divided by 1.\nAnswer: 382432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 52*f**5\/5 - 140*f + 110. Find the first derivative of y(a) wrt a.\nAnswer: 208*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10*p - 85. Let q be f(-8). Let t(n) = -n**2 - 8*n - 7. Determine t(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qetqttpbqbttqttpeequ. What is prob of sequence betb?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391598 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/7, -2, 17 in ascending order.\nAnswer: -2, -3\/7, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111021122210 + -21?\nAnswer: -111021200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35, -53, -105, -209, -383, -645?\n\"Answer: -3*o**3 + o**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4907 and 154581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -234\/31 (c) -3 (d) 2\/7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.86275 from -92.9662.\nAnswer: -91.10345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-114019)\/(-171) + 1\/9*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118555*h = 118231*h - 4536 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 28. Let a be w(8). What is the tens digit of 84*6\/a + 20\/(-100)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*g**2 - 74*g + 47*g**2 + 74*g in the form f*g**2 + p + m*g and give f.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*i + 1506 + 2355. Calculate the remainder when i is divided by 1*(14 - -1) - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 201, 291, 377?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 16) in base 9?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c4588 (base 14) to base 8\nAnswer: -1633754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**2\/9 - 34700*f\/9 - 3639488\/3 = 0.\nAnswer: -304, 8979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and -0.114?\nAnswer: -4.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -15, -8, -13, -36?\n\"Answer: -p**3 + 3*p**2 + 11*p - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 - 7*x**3\/3 - 14*x**2\/3 - 8*x\/3.\nAnswer: -x*(x + 1)*(x + 2)*(x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3*a**2 - 2*a)*(17*a**2 + 23*a**2 - 18*a**2)*(3 - 2 - 2).\nAnswer: 66*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 587720 and 2350880?\nAnswer: 2350880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(22344\/(-3920) + 2\/10) + -6 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/7)*a)**(-31\/2)\/(a**(-4)\/a)**(5\/3))**(2\/41))**(2\/21) assuming a is positive.\nAnswer: a**(-230\/18081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+139454223.04\nAnswer: 139454223.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274111737 to the power of 1\/3, to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.3 + 7. Let c = 0.08 - -0.42. What is the nearest to 0 in c, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*a**3 - 48*a**2 - 33*a - 6 = 0. What is a?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/4 + 5\/20. Let s(l) = 3*l**2 + 6*l + 6. Suppose 2*g + 2 = i - 5, -3*i + 3*g + 12 = 0. Let q(d) = -i + 3 - d - 3. What is r*q(n) + s(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(76)\/(sqrt(4) - sqrt(176)\/sqrt(11)).\nAnswer: -sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3640846452 to 4 dps.\nAnswer: 0.3641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 + -3 + -59 + 78 + (2 - 29).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 853126.77 rounded to the nearest ten thousand?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sqqsssq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 20. Suppose 0 = i - 22 + 3. What is the remainder when i is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y - 2. Let b be -3 - ((-8 - -3) + -3). Suppose -9 = b*w + 6. List the prime factors of i(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*p - 3*p, -p = -3*z + 4. Suppose -32 = 3*n + 5*y, 2*n - 3*y - 2 - 2 = 0. Let r = 0 - 2. Which is the nearest to p? (a) n (b) -1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*47.601\nAnswer: 14.2803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-22)\/(h\/(((h**(-5)\/h)\/h)\/h)*h*h**(-3)\/h) assuming h is positive.\nAnswer: h**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqd when three letters picked without replacement from {d: 1, i: 2, t: 7, c: 8, q: 1, f: 1}.\nAnswer: 7\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11419 or 702?\nAnswer: -11419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15*9*11\/297\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033\/464 at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -5*l**2 - 7\/24*l**4 + 0*l**7 + 0 + 0*l + 0*l**6 + 0*l**3 + 0*l**5 - 1\/48*l**8. Find the second derivative of p(s) wrt s.\nAnswer: -140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q + 5*q)*(2 - 3 + 0)*(521 + 594 - 1289).\nAnswer: 1218*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7620 and 885.\nAnswer: 449580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 12969 = 3*v, 260*o = -2*v + 262*o + 8662. List the prime factors of v.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2316 and 144.\nAnswer: 27792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = 0, 0 = 4*w - 4*c + 10 - 94. Let p = w + -13. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4366 - 7348 - 212 - 6472)*(4*g**4 - 4*g**3 - 5*g**4 + 3*g**3).\nAnswer: 9666*g**4 + 9666*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -65*g - 2. Suppose -4*n - 3*r - 16 = 0, 3*n + 11 = -r - r. What is the tens digit of z(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-15)*o\/(o*o**19))**39)**(-32) assuming o is positive.\nAnswer: o**42432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(0 - 3\/(-5)). Let x = d - -3. Calculate the lowest common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*f - 0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(91) + -1*sqrt(91))*4 - sqrt(91))\/sqrt(7).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -424*c**6*d**2 + 1803*c**3*d**2 - 5*c**2*d**2 + 151840*d**2 wrt c?\nAnswer: -50880*c**3*d**2 + 10818*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 36. Let g = c + -11. Suppose -g*i = 2*m - 40, 7*m - 2*m - 134 = i. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**3 - 4*d + 4. Let a(r) = -7*r**3 + 3*r - 3. Suppose -4 = v, -6*n + 8 = -9*n + v. Give n*a(m) - 3*w(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 8*v**2 + 6*v + 9. Let x be h(7). Solve 3*j = 4*j - x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404854641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 12) to base 9.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -476*q + 170. Let b(c) = -17*c + 6. Let o(r) = 85*b(r) - 3*g(r). Let i(u) be the third derivative of -u**5\/30 + 8*u**2. Give i(o(m)).\nAnswer: -578*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 193, 635, 1493, 2905, 5009?\nAnswer: 7943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10331 + -6324.021851.\nAnswer: -16655.021851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09857898652 rounded to three dps?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13.94 - -0.58\nAnswer: -13.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -67?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25497 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1366, -1373, -1384, -1399, -1418, -1441, -1468?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -520 + 503 - (-36 + -1 - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, 2\/17, -10267054, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77)*-2*-4)\/(3*sqrt(21)\/sqrt(3)*4)*4.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5798 and 2090242778?\nAnswer: 5798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 60*k + 2*d, -39*k - 16 = -37*k + 3*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1\/7, 37.9, -0.8 in decreasing order.\nAnswer: 37.9, 4\/7, -1\/7, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from nnqnqjnqqjqjqnqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.6 - -0.4. Let k = 6.17 + -0.17. Let q = z - k. Which is the third biggest value? (a) -1\/2 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000700169 rounded to 7 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 1. Let v be y(-1). Let g(n) = n**3 + n**2 + n + 16504. Let u be g(v). Let c be u\/10 + (-14)\/35. Round c to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9418, 9414, 9412, 9412, 9414?\n\"Answer: l**2 - 7*l + 9424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/191022 and -7\/164478?\nAnswer: 66284634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 705*y**2 + 375*y**2 + 4984 + 3*y - 4984.\nAnswer: 1080*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125549\/21210 - -14\/1515. What is the common denominator of 19\/18 and p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-870)\/(-42) - (2*90\/(-42) - -4). Solve -53*x + 224 = -f*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -32*i**2 - 2*i**2 - 5*i**2 - 3*i**2. Let x(b) = -2*b. Give x(z(c)).\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c + 102. Give f(-17).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2968363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6*f = 5*f + 122, -5*t + 128 = 4*f. Suppose t*d - 51 = 7*d. Solve -d*g = -i + 1, 0*g - g = 5*i - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + sqrt(170) + 4*sqrt(170)*-1)\/(-2*sqrt(640)) + (sqrt(17) + (sqrt(153)\/sqrt(3) - sqrt(51))\/sqrt(3))**2*-6*-6.\nAnswer: sqrt(17)\/8 + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*(-5)\/((-35)\/28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16275760783513493569\/452302 - -35984277724897. Let v = -1508\/53 + m. Let r = v + -177083\/21335. Find the common denominator of -69\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 (base 13) in base 10?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -1 + 1 + sqrt(242)).\nAnswer: 10 + 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 15, -0.284, 2?\nAnswer: -0.284","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(-2 + 2 - 1)*(-2 - n + 2)*(298 + 314 - 554).\nAnswer: 174*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27608, 110487, 248638, 442061, 690756?\n\"Answer: 27636*d**2 - 29*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.223 + 0.12. Let s = h + -3.897. Which is the third biggest value? (a) 2 (b) -1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let c(y) = 2*y + 3*y + 0 + 6 + 2. Give c(j(v)).\nAnswer: -5*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3935*g - 1021*g**2 - 3*g**3 - 3935*g.\nAnswer: -3*g**3 - 1021*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - d**2 - d**2 + (2412 - 1630 + 4100 + 3757)*(-4*d**2 - 3*d**2 + 6*d**2).\nAnswer: -8638*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 0 + 1 - 3*n**2 + 5*n**2 - 2*n**2 + 8*n**2. Let g(p) = -p. Calculate c(g(y)).\nAnswer: 8*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 + 9 + -4)\/(1\/(-41)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1545 + 478 - 199)*(-2 + 0 + 3 + (1 - 1 - 1)*(3 - 1 - 1) + 2 + 2 - 1)*(-4*d**2 + 5*d**2 + d**2).\nAnswer: -7596*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -379 - -378.7. What is the closest to l in -5, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 7*t + 15. Let w be b(5). Put -5, 3, w in decreasing order.\nAnswer: w, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) - 101919\/(-265). What is the second derivative of w*m - 126*m + 228*m**2 + 22*m wrt m?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 j when three letters picked without replacement from {j: 8, o: 5, e: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a - 1\/6*a**3 + 7\/30*a**5 + a**2 + 7\/12*a**4 + 0. Is b(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 195*d - 194*d - 4617. What is the highest common factor of d and 684?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-1\/7)))**9\/(o\/o**(-7))**(-22))**(-2\/105) assuming o is positive.\nAnswer: o**(-2446\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25780552.\nAnswer: 2, 7, 61, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3222\/192919?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 973754.8 rounded to the nearest one thousand?\nAnswer: 974000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3\/7 (b) -2\/3 (c) 19.244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -82 + 85 - (0 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 100*p + 62*p - 1.\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3 and 5261.86?\nAnswer: -12102.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 + 24b5?\nAnswer: 24d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - (3 - -2))*666\/21*-303.\nAnswer: 2, 3, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2234217 + -1234209. Suppose 4*q - u = -0*x + 5*x, -x - 199992 = 4*q. Round x to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 602.296007 to the nearest integer.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2573\/8 - 322. Suppose 19 + 36 = -x. Let m be (-32)\/x - 4\/10. Sort i, m, -2.\nAnswer: -2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1136 + -2314. Let q = b - -2638. List the prime factors of q.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - k**5 + 2*k + (-2 + 3 + 4)*((-k + k - 2*k**2)*(0*k + 0*k + k**3) - 2*k**5 - 5*k**4 + 5*k**4 - 4*k**4 + 4*k**4 - k**5 + 3*k**2 - 2*k**5 - 3*k**2).\nAnswer: -36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1011100010111?\nAnswer: -1011100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 179*s**4\/5 - 7522*s**3\/5 + 18399*s**2 - 260528*s\/5 + 5776\/5 = 0.\nAnswer: 4\/179, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/19992 and 121\/31010448?\nAnswer: 217073136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - p + 3365, 4*p = -4*f - 1208 + 3900. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*i*j**2 - i*j - 2*j**3 - 10*j + 120 wrt j.\nAnswer: 146*i - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 + 20?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4602179 (base 10) to base 11.\nAnswer: -266375a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 340 + -1361\/4. Which is the nearest to 0.1? (a) -7 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -81*q**2 + 11\/84*q**4 + 0*q**3 + 0 - 11\/420*q**6 - 1\/210*q**5 + 0*q + 1\/735*q**7. Suppose t(c) = 0. What is c?\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(150)\/sqrt(3))**2.\nAnswer: -50*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*b = 0, 3*j + b = -0*b + 14. Let n = 4 + j. Calculate the smallest common multiple of 5 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/3 - 32*n**4\/3 + 118*n**3\/3 - 88*n**2\/3 = 0.\nAnswer: 0, 1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 5\/4795243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 63\/18)\/((-1)\/(-32)). Let d be (-80)\/z*3\/(-10) - 2. What is the closest to 0.1 in 1, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 23*s**2 + 5*s**3 + 51*s**2 - 5*s**3.\nAnswer: -2*s**3 + 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19477*b**3 - 2*b**2 + 2*b**2 - 39013*b**3 + 19538*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 32, 0.\nAnswer: 0, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 11. Suppose -9 + 1 = 2*t. Let v = 5 - 10. Put v, t, r in decreasing order.\nAnswer: r, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15223, -60904, -137039, -243628, -380671, -548168?\nAnswer: -746119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 7, 4 in ascending order.\nAnswer: 0, 4, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*o + 110*o + 280 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1123 (base 6) to base 2\nAnswer: 100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1156 and 75\/6128.\nAnswer: 1770992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(2*2\/(-6)). Let u(b) = -6*b**2 + 2 - 4*b**3 + 0*b**3 + 2*b**q. Calculate the remainder when u(-4) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/4 and 19\/6996.\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = 5*d + 2*z, 4*z - 16 = -2*d. Suppose -4*v + 6 = -14, -2*w - 2*v = -12. Let h = d + w. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8. Suppose -3*y - 50 + 17 = q. Let v(o) = 4*o**2 + 9*o - 4. Is v(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44350000 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7190 (base 10) to base 7\nAnswer: -26651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1591345?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 25 = 106*m - 111*m, 5*v = m + 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from qqql?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, e: 12, p: 1}. Give prob of picking 3 e.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 times -299?\nAnswer: 34983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 136882, -143 in descending order.\nAnswer: 136882, 5, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Let f = -5.1 - -0.1. Let r = -0.3 + -0.2. Put f, d, r in descending order.\nAnswer: d, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x + 2224 - 794 = -35*x for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 2*a - 3*a + (1 + 0 - 2)*(2*a + 0 + 0) - 2*a + a - a - 24*a - 3*a - 12*a.\nAnswer: -45*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.03 and -0.254.\nAnswer: 0.51562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 8*s**2 + 53*s - 58. Calculate z(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -5. Suppose 0 = 3*r - 3*t - o, 6*r - 3*r = 2*t + 6. Suppose -6*d = -r*d - 8. Solve 3 - 2 = -5*y - m, y - d*m + 9 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819500576.\nAnswer: 2, 3, 18953131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.1, 0.2, 51 in decreasing order.\nAnswer: 51, 0.2, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6868*t**2 - 20713*t**2 + 3581*t**2. Let b be o(-5). Round b to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44 + 175?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0933 and 1?\nAnswer: -0.0933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 3669*c - 3670*c - 5, c = -3*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = 2. Suppose -5 = -y, d + 3*y = -r*d + 25. Solve 0 = q - 2*i - 6, d*q + 5*i = 4*q - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 14*m - 9. Let d be h(7). Does 24 divide (96\/5)\/(6\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(-1)*-4. Let y = -0.0688 - 0.0312. Put y, d, -1, 1\/7 in increasing order.\nAnswer: d, -1, y, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -361\/5. Let b(i) be the first derivative of -1\/20*i**4 + 0*i**2 + 2 - 4\/5*i + m*i**3. Suppose b(c) = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 6*k + 3. Let c be z(-5). Let q = -12 - -25. Let s = q + c. What is the greatest common divisor of 55 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266318314 by -4365874.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2*5\/110.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -939*j - 1184. Determine n(-1).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 531, 530, 529, 528?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 1\/3 (b) -1\/2 (c) -5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -12*g - 6. Let h(y) = -12*y - 6. Let f(k) = 7*c(k) - 6*h(k). Let m be 20\/(8\/(2 - (1 - 1))). Let n(x) = 13*x + 7. What is m*n(b) + 6*f(b)?\nAnswer: -7*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*f + 6*f**3 - 224*f + 58*f.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 17. What is the second biggest value in -0.2, b, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -483*b**4 - 24*b**3 + 22318*b wrt b?\nAnswer: -5796*b**2 - 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebbbe. What is prob of picking 3 b and 1 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*q + 4. Let p be 6\/(-3) - (2 + q). Let b = 1\/29 + 21\/232. What is the biggest value in p, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*g - 11. Find the second derivative of 3*v + g*v + 5*v**3 - v wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-68)\/85)\/(-5 + 24\/5). Solve -5*g - 21 = -u + 4*u, 2 = -t*g + 5*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.071965673 - 0.071879673. Let m = y - 60. Round m to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*b - 1412, 6*b - 5*b = -4. Let l = -333 + p. Calculate the remainder when 50 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128430 * 1201.\nAnswer: 154244430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 10*s + 20. Let w be o(-8). Suppose -w = -4*a - 4*n + 4, -5*a + n + 22 = 0. Solve 2*m = a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1*m**0 assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 199*o**4 + 2 - 369*o**4 + 15*o**3 - o - o**3 + 171*o**4 + 3*o**2 to the form h*o**2 + q*o**4 + m*o**3 + n*o + x and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/36 - 2*w**3\/3 + 11*w**2\/6 - 17*w - 12. Factor j(h).\nAnswer: (h - 11)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-1))\/(-64) - (-8 + 2786\/112)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5144472 divided by -5508\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 5*c**2 - 2*c - 1. Let m be k(-7). Let i = m - 58. Let g = i + -53. What is g rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 76 + 320 = 0. Let l = 125 + a. Suppose 0 = -3*b - r + 175, -45 - 8 = -b - l*r. Sort -0.1, b, 5 in decreasing order.\nAnswer: b, 5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(600)\/(sqrt(10)*1))\/((1*2*sqrt(120))\/((sqrt(70)*-1)\/sqrt(7))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -1.4498532502.\nAnswer: -1.5498532502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 173 = 43. Let y = b + -34. Solve -3*k = 2*v - 3 - 5, -5*v = -y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4060 and 31220.\nAnswer: 905380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, -115, -261, -465, -727, -1047?\n\"Answer: -29*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4 - 5*g**3 + 2*g**3 + 4*g**3 + 3*g**2. Let x be v(-3). Suppose 0*r = -x*r + 60. What is the greatest common divisor of r and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160580110 rounded to the nearest one million?\nAnswer: 161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9686?\nAnswer: 2, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 23. Let j be p(-8). Let h = j + -35. Let l = -45 - h. Is l less than 2\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 543 - 543. Let c(r) be the second derivative of 1\/15*r**3 - 1\/90*r**4 + 5*r + a - 2\/15*r**2. Factor c(x).\nAnswer: -2*(x - 2)*(x - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 0*z**2 - 15*z**2 - 3708867*z - 3708858*z + 5*z**2 + 7417725*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 = -6. Suppose 4*w - 451 = -c + 1042, d = c. What are the prime factors of w?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -340, -1.3, -4, -591, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 2136608?\nAnswer: -6409824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 - 2810*y**2 + 207859*y - 205050 = 0 for y.\nAnswer: 1, 75, 2734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 3 + -2)*3. Solve -u*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/7)\/(((i\/i**(-12))\/i)\/i*i) assuming i is positive.\nAnswer: i**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 744 + -584. Let q be ((-64)\/f)\/((-3)\/90). Determine t, given that 0*t + 4\/3*t**2 + q*t**4 - 22\/3*t**3 + 0 - 6*t**5 = 0.\nAnswer: 0, 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725416, 725417, 725418, 725419, 725420, 725421?\nAnswer: 725422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -5 - 6) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 6*q + 2*q - 4*q + 13.\nAnswer: 2*q + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(77) + -1*(sqrt(77)*-1 + sqrt(77)) + sqrt(77))\/(sqrt(11) + sqrt(33)\/sqrt(3)*2))**2.\nAnswer: -32*sqrt(7) + 344\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 h when four letters picked without replacement from {p: 4, h: 6, i: 2}.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*x = -3*x + 16, 5*y + 3*x = 32. What is the units digit of 2\/y - 6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*d + 639 = -285*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 2. Let k = -2\/47 - -100\/141. What is the biggest value in k, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198350 to the power of 1\/2, to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 9. Let y be i(5). Suppose 0*x = -4*c + 2*x + 12, 0 = x - y. Solve 0 = -3*u - 3*n - 9 - 3, 0 = -c*u - 4*n - 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -223*k**2 + 766 with respect to k.\nAnswer: -446*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (((sqrt(378) - 1*sqrt(378)) + sqrt(378))\/sqrt(6) - sqrt(63)))\/(-1*sqrt(81)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*y - 129*y = -4*p - 8, 4*p - 8 = -5*y. What is the greatest common factor of 59 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in months?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-71 - -75 - (3 + 1)) + -4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdqwlql. What is prob of sequence qwxd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 7133 = 4801. Is 34 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2 - 12*f - 5. Let w(l) = -2*l**2 - l + 1. Give q(d) + 3*w(d).\nAnswer: 3*d**2 - 15*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22107829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {g: 2, e: 1, u: 1, j: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 2. Let r(g) be the second derivative of 2*g**3\/3 + 5*g**2\/2 + 2*g. What is -3*r(p) - 7*w(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 2*o + 12 = 4*j, 0 = -j - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/1140*-70*(10\/2 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127927903 to the power of 1\/3, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18647 times -0.1\nAnswer: 1864.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 14094 = -13606. What is y rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/15 - 598*o**2\/5 + 5356*o\/15 + 2384\/5.\nAnswer: 2*(o - 894)*(o - 4)*(o + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/28)\/((3\/(-12))\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-84)\/(-22)*32\/20*855\/(-1596)?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406 a factor of 23908422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - v - 1525 = 0, 3*a + 305 = 4*a - 5*v. Is a a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263260 (base 7) to base 16\nAnswer: c025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649847, -649822, -649797, -649772?\nAnswer: -649747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 946, 961, 988, 1033, 1102, 1201, 1336?\n\"Answer: c**3 + 8*c + 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -242, -2\/21, -1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 14*d + 35. Calculate t(-17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 130\/39 + (-2)\/6. Suppose a*h = 16 - 4. Suppose -h*y = -7*y + 15. Solve -y*q - 1 + 16 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 3*y**2 + y**2 + (2*y - 3*y**2 - 2*y)*(2 - 1 - 3) + 6 - 4*y**2 - 6 to r + g*y + j*y**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 121*c**3 - 6*c**2 + 103*c + 6. Let w(v) = -v**3 + v**2 - v - 1. Let r(g) = 6*w(g) + x(g). What is the second derivative of r(s) wrt s?\nAnswer: 690*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b + 241. Let y(x) = -38*x + 723. Give -7*k(l) + 2*y(l).\nAnswer: l - 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(210) + sqrt(210))\/sqrt(10))\/(sqrt(108)*-1 + sqrt(3)) - (-5 + (sqrt(567)*2*3)**2).\nAnswer: -20407 + sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 121993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1 + 6\/(-8)). Suppose -w + 16 = -2*s + v, -4*v + 30 = -5*s. Let l(k) = k**2 + 65*k - 425. Let u be l(-71). Sort u, 5, s in decreasing order.\nAnswer: 5, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.9, 16, 32, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 + 7 = 0. Let f(w) = -2*w + 4. Let q be f(n). Let u be (q\/4)\/(7\/42). Which is greater: -5\/2 or u?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 19. Let n be g(-15). What is the nearest to -2 in -5, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359616.\nAnswer: 2, 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8 + 140\/15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100507 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 9*n**2 + 13*n - 14. Let v be h(7). Let o = v + 21. Let x be -2 + (1*10 - 2). Solve o = -x*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 16 = -3*r. Suppose 0*k - 792 = -r*k. Suppose -3 = 2*g + 7*p - 19, 0 = -4*p - 16. Calculate the greatest common factor of k and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + 1.5. Let k = g + -1. Let v be 1\/(-3)*(-6)\/14. Which is the smallest value? (a) -5 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**3 + 9*h**2 - 7*h - 8. Let s(c) be the second derivative of -11*c**5\/20 - 3*c**4\/2 + 5*c**3\/2 + 17*c**2\/2 - 2014*c. Give 6*s(u) + 13*w(u).\nAnswer: -u**3 + 9*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 445\/6. Let m = 1.1 + -3.9. Let d = -2.6 - m. Which is the biggest value? (a) d (b) l (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 409 + -2859\/7. Find the common denominator of 61\/134 and a.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = 4. Let d be 62\/22 + a\/11. Solve 0 = -d*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -174, 1156, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p**(2\/15)\/p))\/p)\/(p**(1\/2)*p*p)*p**(-1\/9)*p**(-2\/9)*(p**(-1\/6)\/(p\/(p\/(p*p\/(p**(2\/5)\/p)))))\/(p**0\/p)**(2\/21) assuming p is positive.\nAnswer: p**(-382\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -787146 (base 9) to base 15\nAnswer: -9488c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(266\/38)\/(-63)*(-1)\/((-12)\/(-3)).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 25. Solve -3*k - 4*l = 1 + z, -8 = k - 2*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870450202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6069 + -1.6069. What is the closest to l in -4, 2\/9, -0.31, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -4, -8, 3, 21 in increasing order.\nAnswer: -8, -4, -2, 2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1444 or 0.2?\nAnswer: -1444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-i**4 + 10*i**4 + 9*i**4) + 0*i**2 + i**2 - 3*i**2 + i**4.\nAnswer: 37*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 21, 35, 63, 111, 185?\n\"Answer: p**3 - 2*p**2 + 5*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45201 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17075*n + 18061*n - 134096 for n.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 962077362*b**6 - 533818*b**2 - 141 wrt b.\nAnswer: 115449283440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01923191 to 5 dps.\nAnswer: -0.01923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1701 + 0*d - d - 1396)*(-62*d + 7 + 62*d + d**2) to the form t + s*d**3 + b*d**2 + m*d and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8649\/24986*(-2)\/(-1)?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6213\/10146)\/(-109)*4?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**2 - 277500*h - 9625781250 = 0.\nAnswer: -69375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*u**2 - 506*u**2 + 120*u**2 + 126*u**2 + 125*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/13 - 48\/13*r + 32\/13*r**2 = 0.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15802734 and -15802734 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3 = 0, 5*z - 14 = 3*x - 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -55*w + 0 + 52*w + 0. Let x(n) = -16*n**2. Give x(v(f)).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let m be (-3)\/(-15) - 304\/20. Let x = 19 + m. Which is the closest to 1\/3? (a) x (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:17 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-15))\/(4\/20))\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {l: 1, k: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:33 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 515\/103*4\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 5}. What is prob of sequence mm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/13 - 8*w**2\/13 + 18*w\/13 + 72\/13.\nAnswer: -2*(w - 3)*(w + 3)*(w + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 5) to base 9.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 20 = -4*o. Suppose r + 5*g = -3, o*r = -g + 1 + 8. Solve 0 - 4\/5*t - 2\/5*t**r = 0 for t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -17 - -5 - (0 - 2). Let d(x) = -64*x - 9. Is d(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6636 and 4220338?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*n**2 + 30*n**2 - 13*n**2 as q + u*n + p*n**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-540))\/((-3)\/72*2*1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19788 by 51.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -49.042. Let o = -0.258 - s. Let g = 4.86 + -15.86. Which is the second smallest value? (a) g (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 - -235.5. Let l = -0.1 - 2.9. Suppose -m - 32 = -3*y - 6*m, 2*y - 5*m = -12. Which is the nearest to y? (a) t (b) l (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 302, 1\/5.\nAnswer: -0.3, 1\/5, 3, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 1. Let x = 473 + -472. Let n(b) be the second derivative of -b**4\/6 - b**2 - b. Calculate x*n(h) + 2*y(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i**4 - 5*i + 11*i + 6*i**2 - 6*i wrt i?\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 835*m**4 + 56*m**2?\nAnswer: 20040*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2238?\nAnswer: 2\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3)*15\/(-2). Let o = m - -15. Does 10 divide (-2)\/o + 134\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -671, 1 in descending order.\nAnswer: 1, 0, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62821463 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/41))\/(u*u*u**(-5)*u*u)*u**(-8)\/u**(-5))**(-35) assuming u is positive.\nAnswer: u**(1365\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (sqrt(240)\/sqrt(4))\/sqrt(12).\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 7*o**2 + 3*o - 5. Let s(l) = 2*l**3 - 14*l**2 + 5*l - 9. Let h(b) = 2*b**2 - b + 2. Let f be h(1). Let j(k) = f*s(k) - 5*y(k). Determine j(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2473, -3381, -4895, -7015?\n\"Answer: -303*x**2 + x - 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 21 = -19. Suppose 5*d = -0*d + o. Find r such that -1\/4*r**2 + 1\/4*r + 0 - 3\/4*r**d - 5\/4*r**3 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1559319 - -36261\nAnswer: 36263.1559319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 931\nAnswer: 22344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 55 = -8*x - 40, b - 6*b + 2*x - 9 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904359 times -0.31?\nAnswer: -590351.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14832 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + (sqrt(425) + sqrt(425)*3 - sqrt(425) - sqrt(425)))**2 - (-5 + (sqrt(425) - (sqrt(425)*3 + -5)) + sqrt(425))**2)*-4.\nAnswer: -5096 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26004339649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 50*o - 48. Give n(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -91*b + 13. Let l(i) = -15*i + 2. Determine -4*g(x) + 26*l(x).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-10 - -26) + 7 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1717 = 4*k, o - k - 193 = 384. What are the prime factors of o?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*f + 215*f + 48*f + 190*f to the form k*f + l and give k.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {y: 1, h: 1, u: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q + 4*j = 268, 4*j + 68 = q. Let o = q + -54. Let -4\/7 - 38\/7*c**3 + 2*c + 10\/7*c**o - 30\/7*c**4 = 0. Calculate c.\nAnswer: -1, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.0161898 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -0.5 (c) 13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4617 not equal to 4620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0429 + 333.0429. Let q = -332.9999928 + h. Round q to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 14*d - 4. Let v be p(-22). Let n = -449 + v. Are n and -277 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j + 10. Suppose g + 2*g = -j*i + 17, 2*g + 2 = 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: Suppose -5*k + 6 = -4. Let i be 128\/12 - k\/3. Suppose -15 = -i*w + 5*w, -3*u - 5*w = -36. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -745 - -748. Let o(d) = 3*d**2 + 2 - d**3 + 0*d**2 - 3*d + d. Give o(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j - 23. Let p(y) be the second derivative of -y**4\/6 - 37*y - 1. Determine p(s(q)).\nAnswer: -72*q**2 - 552*q - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:26 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 26\/(-4) + -1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(39)\/sqrt(3) + 2.\nAnswer: sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 at most as big as -2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - a = -18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3988 (base 14) to base 12.\nAnswer: -5a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 9 - 0) + -7 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*d - 83*d = 171*d - 5278 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 2. Let d be ((-4)\/(-8))\/((-3)\/(-6)). Let f be v(d). Solve -3*g + f = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -325310979 or -1626554888\/5?\nAnswer: -325310979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 10:05 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-10 - 3*c - 2*c + 4*c)*(-1 + 0 + 0)*(22*c**2 - 37 + 37).\nAnswer: -44*c**3 - 440*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*g - 1552 = -45*g + 12125 for g.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 e when four letters picked without replacement from {e: 3, k: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 3483?\nAnswer: 3485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 10*w - 4*w + (-2 - 1 + 2)*(5 - 5 + w))*(15 - 4 + 38).\nAnswer: 196*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/7)\/t))**11\/(t**10\/(t*t\/(t\/(t\/(t**(-2)\/t))))))**(-1\/52) assuming t is positive.\nAnswer: t**(-97\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/((-43)\/((-172)\/(-40))).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*n - 610 = 110*n. Let h = -1096\/9 + n. Which is the third smallest value? (a) -1\/8 (b) -0.8 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = -0*p. Find r, given that -r - 1\/3*r**3 - 1\/3 - r**p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14553, 12, -0.1, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/16*(-1 + 1). Let x = j - 2. Put 5, x, 3 in ascending order.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1452 = 15*h - 26*h. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -495.9211 and -5.\nAnswer: 2479.6055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (8\/20)\/1 - 315\/(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1))**(-4\/5) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 235*g + 36427. Let v be t(-155). Let -2\/17*w**v + 0 - 2\/17*w = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-106)\/7791)\/(2\/154)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84823\/11 + 7711. What is the closest to 0.03 in -2\/9, z, -6, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-10 - (5 - 85)) - -17?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 7:45 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -985, -4868, -15401, -35908, -69713, -120140?\nAnswer: -190513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 - -206. Let t(g) = -4*g + 73. Determine t(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*v**2 - 220*v**2 - 98*v**2 in the form w*v + z + i*v**2 and give i.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149607 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/40110 and 79\/2865?\nAnswer: 40110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14*h**3 - 5*h**2 + 23*h + 85. List the prime factors of k(-3).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338203934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 843*c + 2521. Determine u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*j + 406*j = -30. Let o(r) be the second derivative of -1\/42*r**4 + 1\/70*r**j + 0*r**2 - 2\/21*r**3 + 0 + 2*r. Factor o(u).\nAnswer: 2*u*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-15)\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3061 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 3*v, -2*v + q + 9 = 5. Suppose v*o = 24*o - 18840. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.092, 6.5, -2?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42768?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*l + 48*l**2 - 361*l + 67*l - 49*l**2 - 186*l to the form n*l + j*l**2 + z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 16*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1458 = -0*g. Let u be g\/4*(-6 - -8). Let a = u - 4829. What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i + 32. Let u be h(0). Suppose -4*d + u = -56. Suppose 4*o - d + 6 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 - l**2 - 3*l**3 + 4*l + 4*l**3 - 4. Let a be b(2). Suppose -2*v + v + 39 = 2*h, a = -4*h. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - ae3da?\nAnswer: -ae3dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*j + 10 + 5, -5*j + 57 = 4*x. Let w(l) = l**2 - 5*l + 4. Let p be w(5). Suppose -2*i = 3*m - 51, -p*i - x - 4 = 0. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3185588673.\nAnswer: 3, 17, 73, 223, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 + 179.1. Let o = -5 + 0. Let b = 5.04 + -4.94. What is the closest to h in o, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1630*a - 763*a - 49444 = 820*a. Calculate the remainder when a is divided by 265.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 26. Let b = l + -8.0064. Round b to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) - sqrt(3564)*-3.\nAnswer: 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 7*v - 6. Which is the nearest to 2\/7? (a) 1\/8 (b) v (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36.8 - 36. Let x = a + -0.16. Let f = -0.04 + x. What is f rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4650 - -5107. Calculate the remainder when a is divided by 168.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 16*k**2 - 365*k - 64. Calculate d(-28).\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -152. Suppose 2*w - 3*q = 55, -5*w + 0*q = -q - s. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*v - 134 - 86, 0 = z + 4*v - 44. Calculate the greatest common factor of z and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48139 is divided by 114.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {f: 9, n: 7, c: 3}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25201 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 34061868*m**2 + 34061744*m**2 + 13.\nAnswer: -124*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) -2\/19 (b) 0.3 (c) 12\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 4, h: 1}. What is prob of sequence tztz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - u - 2)*(-20 - 17 - 22) - 10 - 5*u + 8 + 4.\nAnswer: 54*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270425357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**3 + 1. Let f be b(1). Let c = 14 - f. Let y(l) = 5*l**2 - l + 1. What is the remainder when c is divided by y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1085 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2255456.1*-4.\nAnswer: -9021824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 152*n**2 - 935*n - 3. Give t(6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 2. Let s be b(-4). Let v = s + -3. Solve 0 = -l - 2 - v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 + 24*u + 4554. Calculate i(29).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/126683 and 37\/5.\nAnswer: 633415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 36, 54, 58, 36?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/119 + 551\/3213. Which is the biggest value? (a) x (b) 0.048 (c) -2\/11 (d) 3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71094685.6 rounded to the nearest ten thousand?\nAnswer: -71090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*r - 2*o + 4 = 114*r, o = 4*r + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**8\/3360 + z**6\/240 - z**5\/120 - z**3\/6 + 3*z**2. Let q(g) be the first derivative of i(g). Let q(r) = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/11*690558\/(-10463)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ussu when four letters picked without replacement from ssusu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 10*z - 19. Let j be f(-12). Solve 0*y = 4*v + 2*y - 2, v = j*y + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 5*x - 39, -55 = -4*x - 2*l - 29 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 27 = -45*b + 58. Suppose 5*j - j = 20. Solve -j + b = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**3 - 671*w - 2810.\nAnswer: 12*w**2 - 671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4689*t - 9297*t + 0 + 4702*t + t**2.\nAnswer: t**2 + 94*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 127931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 34182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 8 = -272*s + 276*s, -5 = 5*s - 5*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.212531 rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert a83c4 (base 15) to base 12.\nAnswer: 219111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1065898 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 32*y**2 - 316*y - 280.\nAnswer: 4*(y - 14)*(y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) 20 (d) -1\/28 (e) 2 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2397307 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10853\/808 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 0.06, 160697, 0.3?\nAnswer: 160697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-2 + 6 - -9). Suppose 4*m - g*m = -42. What is the remainder when 27 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -134626, -134628, -134632, -134638?\n\"Answer: -j**2 + j - 134626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**3\/6 - 5*t**2 - 2*t. Let p be d(12). Suppose -37 = -p*m + 7. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1932 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5473995?\nAnswer: 3, 5, 19, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4922, 6350, 8728, 12056, 16334, 21562, 27740?\nAnswer: 34868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40595 and 1771?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 17*o + 40. Suppose -s - o*d - d + 36 = 0, -5*d = -25. Suppose 2*l - q = -l - s, 5*l + 3*q = -9. Is l at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1794, -7078, -15822, -27996, -43570, -62514?\nAnswer: -84798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.464904 milliseconds in seconds?\nAnswer: 0.004464904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3533430564.\nAnswer: 2, 3, 98150849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*n - 2*n. Suppose n*t = 3*t + 1, 4*v - t = 303. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 0.12.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(4\/3)))\/i)**(7\/6)*(i**14)**41 assuming i is positive.\nAnswer: i**(10283\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6702 + 7992. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3668, 29348, 99054, 234800, 458600, 792468?\nAnswer: 1258418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + m - 10 = 0, 0 = 3*c + m + 3*m - 4. Let q(g) = 0*g**2 - g**2 + c*g**2. Let h(d) = 53152*d - 106302*d + 6*d**2 + 53150*d. Give q(h(p)).\nAnswer: 108*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 4 = -k, 8 = 4*p + 2*k. Suppose 4*c - 48 = -5*r, 5*c - 2*r - r - 23 = p. Suppose c*x = 3*x + 28. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/c**(-29))*c)\/(c\/(c**14*c)*c))\/(c**(-14)*c**(1\/22)\/c) assuming c is positive.\nAnswer: c**(21\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 + 121. Suppose r*f - 107 = 941. List the prime factors of f.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15736*g - 3*a - 27 + 12 = -15737*g, -g + 4*a + 21 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6009, -6017, -6025, -6033?\nAnswer: -6041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -31.1. Let v = f + 1.1. What is the second smallest value in -3\/4, -5\/7, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f**2 + 4*f**2 + 3*f**2)*(3*f**2 - 2*f**2 + 4*f**2 + (-2*f - f + 5*f)*(f - 3*f + 6*f)) to x + m*f**3 + l*f + u*f**4 + g*f**2 and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.22 + 0.22. Sort j, -1\/4, -4\/5 in descending order.\nAnswer: j, -1\/4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -34 - 1\/3*a**3 + 3\/2*a**2 + 2*a. What is n(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*d + 7 + 5, -d + 2 = 4*p. Let k be p*4 + -5 + 1. Solve 2*j + 5*b + 10 = 0, b - 16 = -k*j - 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c - 11*c + 10*c. Suppose 2*x + 7 - 1 = r, -5*x - 2*r - 15 = 0. Let o(l) = -5*l. Let u(s) = x*o(s) - 2*q(s). Let g(v) = -2*v**2. Give u(g(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110543581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 72452, 72448, 72444, 72440, 72436, 72432?\n\"Answer: -4*v + 72456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -266\/3 - 2\/3*i**2 + 532\/3*i**3 + 268\/3*i**4 - 533\/3*i + 1\/3*i**5.\nAnswer: (i - 1)*(i + 1)**3*(i + 266)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*b - 1304 = -5041 - 1609 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253 is divided by ((245\/2)\/(-5))\/((-59)\/118)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14161)\/68 - 3\/4. Let q = u + 230. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -28*o**2 - 2*o + 20. Let b(p) = 3*p - 9*p**2 - 2*p - 21 + 4*p**2 + 32*p**2. Let n(k) = 4*b(k) + 3*f(k). Find the second derivative of n(a) wrt a.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73481.\nAnswer: 197, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 46*d - 78. Let j be z(-44). Solve 5*w + j = 0, 0 = 3*h + w + 3 - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 31 - (165 - 150) - 32\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9457 + -1518. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - v = 10, -10 = -14*u + 12*u + 4*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 = a, 4*a + 5*t - 12 = -2. Solve 3*g - 3*c + 24 = 0, -g + 0*g = a*c - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -2*i. Let p(c) = -5*c**2 + 16*c**2 + 3*c**i. Let l(k) = -2*k. Determine l(p(d)).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 0, -4, 24, -968, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12775? (a) 4 (b) -3\/5 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*c - 3*z, 0*z + 6 = 4*c - z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 3. Let n(b) = 5*b**2 + 10. Let i(k) = 4*k**2 + 9. Let m(a) = -6*i(a) + 5*n(a). Calculate -4*l(q) - 3*m(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 1\/4*q - 1\/8*q**2 + 3\/8 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275) - (sqrt(1275) - -1*sqrt(1275)) - sqrt(1275))\/(((sqrt(27) - sqrt(3)) + sqrt(3))*5) + 4.\nAnswer: -2*sqrt(17)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2454585489355.000001743 + 2454585490665. Let y = -1310 + d. What is y rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.16, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 12.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190229 is divided by 166?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614952897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 21388*o - 21392*o - 80, -o = -4*f + 71 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 4*f**2 + 3*f + 4. Let o be d(3). Let y be -1*2*(-21)\/3. Suppose 0 = -3*n - 2*u + y, -4*u + 9*u - 16 = 2*n. Solve 0 = n*c - c - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Suppose -2*z = 4*b - 34, 2*b - 5*b - 5*z + 36 = 0. Let t = 9 - b. Calculate l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.049 + -0.0965. Round q to two dps.\nAnswer: 1.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**(4\/7)\/l)\/l*l)\/l)\/l)\/(l\/(l\/l**(1\/4))))\/(l*l**(-1\/3)*l*l**(-1\/2)*l) assuming l is positive.\nAnswer: l**(-407\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.81599 to the nearest integer.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:27 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0, -2\/9, -1, 0.05, 0.5, -244?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 - 2*b**4 - 72*b**3 + 72*b**2.\nAnswer: 2*b**2*(b - 6)*(b - 1)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8466 is divided by 160?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 0*l**2 + 2*l**2)*(111*l + 31*l + 559*l).\nAnswer: -1402*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuccvvcccccccuccuc. Give prob of picking 1 u and 1 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 1. Let p be i(-3). Suppose 6*z = p*z - 924. Let a(x) = -11*x. Let g be a(-3). Calculate the greatest common factor of g and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 59. Calculate the remainder when 55 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (152\/(-114))\/((-2)\/432). Let c = -284 + f. Solve c*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1077779.\nAnswer: 3233337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 255, 257, 259, 261, 263?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2604 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3038 (base 10) to base 16\nAnswer: -bde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by (-62)\/(2*(-1 - 0))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857889322?\nAnswer: 2, 428944661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g - 8, k - 3*g - 8 = 0. Suppose 0 + 10 = k*o. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4666 = m, -1973 = -5*r - 4*m + 3865. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 14*c - 13 - 8*c + 3 - 27 in the form h*c + v and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13697 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6486386 is divided by 16095.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.0373 rounded to 1 dp?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 12}. Give prob of picking 2 e.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4984313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/2 + 1209048*x - 243632844384.\nAnswer: -3*(x - 403016)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 33621 + 8*r - 33621. Let d(s) = -14*s - 8. Let b(z) = -5*z - 3. Let a(q) = q**2 - 6*q + 1. Let y be a(7). Let k(o) = y*b(o) - 3*d(o). Give k(j(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -53 - (-1749 - -1727).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 43*j + 95. Let m(c) = -42*c - 42. Let g(y) = -3. Let a(x) = -18*g(x) - m(x). Let h(u) = 5*a(u) - 6*w(u). Differentiate h(b) with respect to b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 27 = -2*h. Let s(o) = -o**2 + 6*o - 3. Let f be s(4). Suppose -f - 29 = -q. Calculate the remainder when q is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, and 1 n when three letters picked without replacement from {x: 5, q: 1, a: 3, e: 1, n: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -78*v**2 + 158*v**2 - 81*v**2 - 2. Let l(m) = 496*m + 15368. Let d(q) = l(q) - 4*u(q). Solve d(z) = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(363) + (0 + sqrt(147))**2).\nAnswer: 11*sqrt(3) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47464, 51761, 58922, 68947, 81836, 97589, 116206?\nAnswer: 137687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(48)*-6 + 4.\nAnswer: 4 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10 - 9 + 24 - 756*t + 746*t. Calculate g(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 + 484*b\/7 + 29282\/7.\nAnswer: 2*(b + 121)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43980, 87990, 132028, 176094, 220188, 264310, 308460?\nAnswer: 352638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 41403?\nAnswer: 41411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 66?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:13 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 32*x**2 + 451*x + 1277. Calculate y(-42).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 50, 49, 38, 11, -38, -115, -226?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 15. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -20. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -336 - -330. Is j\/(-16) + 8670\/48 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -201*4*(-5)\/30. Suppose 5*r - 1155 = 4*h, -3*r = -3*h - g - 556. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = 0, 4*x + 0*x - 2*n = -206. Let i = x + 59. Solve i*k - 10*k = 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.3. Let n = -1 - -4. Which is the third biggest value? (a) p (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215010492 + 215010492 + 5*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*r - 671 - 1937 = -14*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s**3 - 157*s**2 + 64*s + 94. Determine a(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 - -12. Let h = -121 - b. Solve 2*u + 3*c = 5, -h*u = 5*c - c - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, h: 3, w: 2, c: 1, o: 5}. What is prob of sequence qhh?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 565546 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*z = -43*z + z + 450*z + 21990 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1629 by -78.\nAnswer: -543\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 438\/26 + (-104)\/(-676)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -3 + 5 - (4 + sqrt(2057) + sqrt(2057))*-5)**2.\nAnswer: 5324*sqrt(17) + 249381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7856579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*x + 87*x + 640. What is the highest common divisor of 64 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**6\/480 - w**5\/240 + w**4\/48 + w**2 + 1. Let l(h) be the second derivative of z(h). Factor l(t).\nAnswer: -t*(t - 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 5, -5, -1 in ascending order.\nAnswer: -5, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**3 - 10*a**2 + 10*a**2.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-4 - -1) + 6 + -2 + -5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k**3 - 1. Let v be y(-1). Let x = v + 68\/5. Let q = 2.8 - 3. Which is the second biggest value? (a) x (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -1 + 0 + (345 - -6) + -330\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550 = -53*w - 57*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 10555.39633?\nAnswer: 10555.39633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 40*p**2 + 2593*p - 408. Calculate d(-65).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 3)*(2*r**2 + r - r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-20))\/3*558\/1395\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 6*k - 1. Let r be g(7). Let q(x) = x**2 + 10*x - 7. Is q(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*o - 740 = 0, 0*o + 910 = -5*b - 2*o. Let k = b - -258. Calculate the remainder when k is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147.84 - -14.44. Let s = b + 146. What is s rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1753\/9 - -195. Let y be (-372)\/616 - 1\/(-2). Let m = y - 2\/11. Sort j, 4, m in descending order.\nAnswer: 4, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25 = -u, 0*u - 20 = -5*u + 4*x. Which is smaller: u or -4\/691?\nAnswer: -4\/691","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107\/2 + -54. Let v = -2 - -1.9. Let w = 0.1 + -0.2. Which is the closest to w? (a) v (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqqqlniql. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + f = r - 34, 0 = r + 2*f + 2. Suppose -4*g + 120 = g. Suppose -r*t = -3*t - g. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319166.\nAnswer: 2, 53, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -843 - 0.3.\nAnswer: -843.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12269 and 2.\nAnswer: 24538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17567726, 17567716, 17567706, 17567702, 17567710, 17567736, 17567786?\n\"Answer: h**3 - 6*h**2 + h + 17567730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-4)\/152). Let i = -16 + c. Suppose 4*v + 16 = -f - 0*v, 0 = -i*f + 2*v + 22. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 12 = -5*z, 4*f - 65*z = -67*z - 94 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14 + 5 + 5 - 4*r**2 - r**3. What is u(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 442, 692?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 18. Which is the nearest to n? (a) -0.3 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -616.351 - -616.0908488. Let u = m + 0.26. What is u rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 585*c + 41. Let a be s(-7). Let i = 11221 + a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.28844952 + 710.71057648. Let r = -714 + u. What is r rounded to 5 decimal places?\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -18*r**2. Let x(l) = 463*l**2 - 3*l + 84. Determine x(g(d)).\nAnswer: 150012*d**4 + 54*d**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -413.166 + 413. What is l rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -220*n + 226*n. Calculate the highest common factor of 329 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05718691 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 810241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -37*m**4\/24 + 28*m**3 - 73*m**2 - 107. Let q(k) be the second derivative of b(k). What is the derivative of q(r) wrt r?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50\/71 or -2?\nAnswer: -50\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 8, o: 1, d: 2, y: 2, z: 3}. What is prob of sequence odzm?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58894681 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 2\/7, 0.4, 2, -10\/9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lol when three letters picked without replacement from {o: 1, l: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4173\nAnswer: -1\/1391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9790091?\nAnswer: 9790091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 29*q**3 - 27*q**3 - q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 13*y**4\/24 + 7*y**3\/6 - 3*y**2. Let r be b(-11). Let w = -75 - r. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Factor z - r*z**2 + 0 + 3*z - 2.\nAnswer: -2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let r(v) be the first derivative of 23*v**3 + 13. Give r(y(h)).\nAnswer: 69*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5056?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 31*l + 427. What is the hundreds digit of n(46)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151.1 - -151. What is the nearest to -1 in -5, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 - -1 - -24) - (-44 - (-64 - -21))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v + 4*g - 8 = 0, -2*g = -5*v - 4. Suppose 5*k - 100 + 75 = 0. Solve v = -q + k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 142 + 0 - (-62342 - -62387)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(sqrt(11) - sqrt(99))**2 + ((sqrt(121) + -2*sqrt(121) + sqrt(121))*1 + sqrt(121))\/sqrt(11).\nAnswer: sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9*y - 30 = 0. Let w(x) = -2*x. Let d(f) = f. Let v(t) = y*w(t) + 6*d(t). Let l(g) = g**2. What is v(l(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 15*p - 9. Let w = -1135 - -1121. Determine i(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368 and 1012.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1537 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -60. Let i be -1 - 1 - (1 + 0). What is the units digit of -2*(t\/3)\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8334, -16647, -24946, -33231?\nAnswer: -41502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 107.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 3 + (sqrt(5) - (0 + sqrt(5))) + -2 + 0.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8130536 = -10565266. Let m = 431934 + b. Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 3, m: 1, o: 1, b: 1}. Give prob of sequence mo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/126 and 1\/101766.\nAnswer: 305298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.835658 and -602.\nAnswer: -503.066116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1) - (-629)\/(-102) - -2\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 132 + 18 - 6 - 72*r + 4*r**2 + 115 + 65.\nAnswer: 4*(r - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + 6\/(-3))*11. Let a be 2\/(-4) + 13\/2. Let i = h - a. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 4.18834?\nAnswer: 3.18834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l. Let z = 273 - 269. Let h(x) be the third derivative of 0*x + 1\/30*x**5 + 0*x**3 + 0 - 6*x**2 + 0*x**z. Give c(h(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 263628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -6*y - 12. Factor 3*v**4 + 0*v**3 - 7*v**3 - 2*v**y + 4*v**2 + 2*v**2.\nAnswer: 3*v**2*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002890696 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.1 and 1657.\nAnswer: -5136.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (7 - ((-13 - -27) + -20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 - 60\/(-14). Solve -15 = 4*q - v*k - 3, 10 = 2*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31750889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 37*q - 39*q - 4, -22 = 4*q - 5*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Let s = f + 0. Suppose s*k = -5*k. Solve -7 = -4*l - 5*d, k = -3*l + 5*l + d + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2 - 70\/(-14)). Put j, 0.2, -121 in descending order.\nAnswer: j, 0.2, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-4) + 2\/8. Let r be -1 - -3 - (x + -2). Let w(h) = 5*h. Does 13 divide w(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, -10\/3 in increasing order.\nAnswer: -4, -10\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -22. Suppose -v*z + 7*z = -2. Let m = -0.03 - -3.03. Sort z, m, 0.4.\nAnswer: z, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 9 + -2 - (-2 + 2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -1.74 (c) -5 (d) 6 (e) 0.3 (f) 8\/5 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 4, v: 1}. What is prob of picking 1 u, 1 w, and 1 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 216514.036 rounded to the nearest ten?\nAnswer: 216510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13322554 and 5664?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -q + 59, q - 2*v - 41 = 3. Suppose -11*p + q = -9*p. Let m = p + 0. Calculate the lowest common multiple of m and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 1\/28 (c) -1\/2 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 91*u**2. Let d(z) be the third derivative of -z**5\/60 - 39*z**2. Calculate d(x(m)).\nAnswer: -8281*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1042, 1\/6, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.85 - -9.85. Which is bigger: q or -1.181?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 1145*s**5\/6 + 3053*s**4\/12 + 2*s**2 + 113*s + 15. Find the second derivative of t(c) wrt c.\nAnswer: 22900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4880181535?\nAnswer: 5, 976036307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 3*a**6\/140 - a**5\/14 + a**4\/12 - a**3\/21 - 7*a**2\/2 - a. Let f(t) be the first derivative of l(t). What is w in f(w) = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-175)\/10))\/(60\/25)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 60 = q. Suppose q*r = 14*r - 120. Suppose -9*z - 5442 = -r*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890506 rounded to the nearest ten thousand?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359214 is divided by 69.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*x + 6 = -4, -5*w - 2*x + 18 = 0. What is the units digit of 23\/3 + w\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 1\/5, 769, 2, 0.1 in decreasing order.\nAnswer: 769, 2, 1\/5, 0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b54 - 181a4?\nAnswer: -17650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 6*l**2 - 3*l - 7. Let u be y(7). What is the highest common divisor of 147 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 + -40. Suppose 5*x = 2*m + 2*x - v, 0 = m + x - 51. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 9:36 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*n + 3. Let b be n\/(-2) + 5 + -9. Let t(z) = 34*z**2 - 8*z + 9. Let f(x) = 15*x**2 - 4*x + 4. Let l(c) = -9*f(c) + 4*t(c). Give l(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5640, 7424, 9208?\nAnswer: 10992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92405.7450116 - 92406. Let t = -0.255 - j. What is t rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, n: 1, v: 1}. Give prob of picking 1 v and 1 s.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11*l. Let j(k) = -2*k**2 + 5*k - 5. Let a(o) = o**2 - 3*o + 3. Suppose t - 2 - 4 = 0. Let m(r) = t*j(r) + 10*a(r). Calculate m(n(f)).\nAnswer: -242*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 1 + 4. Suppose h*l - 16 + 7 = 0. Differentiate 1 + 6*w**l - 5*w**3 + w**3 - w**3 with respect to w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -69, -85, -107, -135, -169?\n\"Answer: -3*a**2 - a - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178856.\nAnswer: 2, 79, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000009759011 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 25*m - 78 = 0. Solve 7*r - m*r = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126354 at least as big as -126319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210029092 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 202 = 4*b, -5*b - 108*q - 268 = -104*q. Let z = 3 - -1. Let f = z - 3. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 26*s**2 + 24*s + 25. Let h be b(25). Suppose -7*l + 0*l + 14 = h. Suppose 0 = -4*k + l + 14. What is the least common multiple of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m**4 - 8*m**3 + 3*m**2 + 4*m + 4. Let p(h) = 14*h**4 + 9*h**3 - 4*h**2 - 4*h - 5. Let c(w) = 5*b(w) + 4*p(w). What is r in c(r) = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -279\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/11 + 2*p**3\/11 + 36*p**2\/11 - 32*p\/11 - 64\/11 = 0.\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4\/3, -3, -17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(88) + (sqrt(88)*-2 - sqrt(88) - sqrt(88))))\/sqrt(8))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 6*r + 9. Let i be s(6). Solve 3*m = 2*h + 4, -4*h = -i*h - m + 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, 5, -1, 2\/5.\nAnswer: -1, 2\/5, 2.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, e: 1, n: 2, s: 5, a: 1}. Give prob of sequence yns.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**6\/720 + 13*c**4\/144 - c**3\/3 + 33*c**2\/2 - 10*c. Let o(x) be the first derivative of n(x). Let o(t) = 0. What is t?\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) + 10\/66. Let r = 286 + -286.06. Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496, -1971, -4422, -7843, -12228, -17571?\nAnswer: -23866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 20 = -d - 3*d, -4*h = -d + 12. Let r = h + 5. Let k be 4\/(-6)*(r + -4). Put k, 5, 3 in increasing order.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3272312 times -0.08\nAnswer: 261784.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/y*y)\/((y*y**(2\/19)*y)\/y)*(y*y*y\/(y**(-2)\/y))**(-27\/7)*(y**(-9)\/(y*y**(-14)*y*y))**40 assuming y is positive.\nAnswer: y**(8612\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*l + 3, 0 = -5*l + 7*y - 3*y + 27. Suppose 4*u = 5*r + 147, u - 38 = l*r - 10. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 1376*c\/11 + 21606.\nAnswer: -2*(c - 831)*(c + 143)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-2) + 253\/(16698\/1056).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353140*s**3 + 3*s**2 - 29472*s.\nAnswer: 2118840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.251 * 4.1\nAnswer: -1.0291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c + 13. Let n(t) = -3*t + 7. Let f(j) = 5*n(j) - 2*z(j). Determine f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0 + 0)*(-2 + 2 - 1)*(1 - 3 + 1)*(16 - 11 - 6).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-72))\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 5. Suppose -2*d - v = -7. Calculate the remainder when 11 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*i - 37, 2*a - 3*i - 9 = a. What is the highest common factor of a and 1974?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2, 3.6, 82 in descending order.\nAnswer: 82, 3.6, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**16*w*w**(1\/4)*((w*w\/(w\/(w*w**(14\/9))))\/w*w)\/(w*((w\/w**(-7))\/w)\/w) assuming w is positive.\nAnswer: w**(497\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 16 = 5*b, 3*b = 2*p + 2*p - 20. Suppose -27 = -2*m - 9. Let l be b*(m\/6 + -1). Sort 5, -5\/4, l.\nAnswer: l, -5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 219*d**5\/10 + 659*d**4\/8 + 74*d**3 + d**2 + 6146. Solve g(j) = 0 for j.\nAnswer: -2, -1, -2\/219, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 0)*1*7. Let l = h + -32. Let t = l - -30. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 12) + -70 + 71?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374190030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -1. Let c(z) = 1 + j*z - 3 - 2*z - 9. Let g be c(10). Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 9*o + 0 - 17.\nAnswer: -9*o - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 56*f**2 - 53*f**2 + 2 to l*f**2 + u + d*f and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2152 or -1976?\nAnswer: -1976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/36*(-7)\/((-35)\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*o - 574, u = -o - 3*o - 1142. Find the common denominator of -13\/10 and 2\/(-10)*o\/(-14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6\/10) + 3 + -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 21 (b) -2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:42 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Let a(w) = 228*w**2. Let m(t) = -2*a(t) - 72*h(t). Let v(r) = 2*r**2. What is v(m(d))?\nAnswer: 294912*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -11. Let r(u) = 0*u**2 - 2*u**2 + u**2 - u**d. Let s(o) = -3*o + 2. Let p(t) = -10*t + 7. Let y(f) = -2*p(f) + 7*s(f). Determine y(r(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2604 is divided by 326.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y - 5*y - 11*y + 62*y - 17*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -2*z + 5, 4*d + 3*z = -58. Let u(m) = m**2 + 7*m - 24. Let t be u(d). What is the remainder when (-345)\/(-27) - (-12)\/t is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((16\/(-32))\/((-10)\/4)). Find the second derivative of 75*a**3 - 72*a**3 - 19*a**2 + 21*a**2 + 17 + n*a wrt a.\nAnswer: 18*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.18 - 0.18. Let w = r + -8.1. Which is the closest to w? (a) 1\/7 (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-69)\/(-46))\/(3\/(-4)). Let p be (21\/28)\/((-97)\/48 - n). Let w = 154 + p. What are the prime factors of w?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-21)\/14*4\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20094 divided by -2.\nAnswer: 10047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 greater than -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, -1, 20 in ascending order.\nAnswer: -2, -1, -0.3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*o - 28, 0*x + 2 = x. Let t = o - 3. Which is smaller: t or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003092 to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 15 - 15. Suppose -5*j = m*c - 3*j - 3007, -2008 = -2*c - 3*j. Suppose 0 = -3*n + c + 1858. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**3 + v**2 - 6*v - 7. Suppose -3*y = -8*y - 10. Let j(b) = -b**3 - 2*b - 2. Determine y*q(h) + 7*j(h).\nAnswer: -h**3 - 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let g(d) = -6*d. Let l(r) = -g(r) - 3*s(r). Let z(v) = -4*v. Let x(w) = -5*l(w) - 3*z(w). Let f(y) = -y. Determine x(f(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - -1. Suppose 5*l + 0 = j, 16 = 3*f + l. Suppose 2*i = -0*i + 10, -f*y - i = 19. Which is smaller: y or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.015 * -3.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 38161.02 grams?\nAnswer: 0.03816102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -148\/221 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -199, 7 in ascending order.\nAnswer: -199, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/2 + 102*p**2 + 429*p\/2 - 315.\nAnswer: -3*(p - 70)*(p - 1)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {v: 6, y: 3, r: 3, t: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (300\/(-225))\/(28\/(-546))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 947512*w - 3790047\/4.\nAnswer: -(w + 1)*(w + 3790047)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -868, -2373, -4880, -8389, -12900?\n\"Answer: -501*f**2 - 2*f - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**4 - 25*y**3 - 1266*y + 1964170 wrt y.\nAnswer: 8*y**3 - 75*y**2 - 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -11\/28 (c) 5\/6 (d) -3\/4 (e) -219\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 40*i - 2. Is z(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 3. Let a be q(2). Suppose -2*u = a*d - 4 - 0, 0 = 5*d - 4*u - 22. Solve 2*p - d*r + 6 = 2, 0 = 5*p + 2*r + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and 6086636363236?\nAnswer: 6086636363236.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb (base 16) to base 9.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10150 - -11?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-135)*-63*4\/7\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -28*q + 273. Calculate the remainder when 107 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(64)\/(1*sqrt(18)))**2 - (-1*sqrt(192)\/sqrt(6) + 0))*3.\nAnswer: 160\/3 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1556*a + 9374. Calculate l(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -575\/42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453908 is divided by 151297?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 - (11 - -5) - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9539 in 2, -1\/11, -3, -6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3 + 5 + 2*r + 4 - 8. Calculate x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4) + 2\/(-4). Let h(k) = 2*k**2 + 3*k - 4. Let s(u) = 1. Let z(b) = h(b) + 6*s(b). What is the lowest common multiple of 10 and z(m)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 + 163.093. Let m = -17.593 + v. What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, -0.005, -5371, 6.\nAnswer: -5371, -0.22, -0.005, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20293, -41370, -62421, -83434, -104397, -125298?\nAnswer: -146125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/70*-35*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 - k. Let n be r(-6). Is 9 a factor of (n\/4)\/((-1)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -738 = 4*a + 1054. Let z = a - -3601\/8. What is the common denominator of 4\/18 - (-2325)\/(-378) and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -32. Suppose o + 4*h - 4 = 0, -7*o + 2*o = -2*h - m. Let n(l) = -1 - 5*l + o*l - 2*l + l. Determine n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.98 times 0.1\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + x**3 - 2*x**3 - 2*x - 12 as d*x**2 + t + o*x**3 + c*x and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 0, -5*n - 557 = 2*g - 2544. Let y = g - -48321. Let c = y + -95317. Round c to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5790000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301 + -67215.\nAnswer: -67516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/2572 - 118333\/54012. Find the common denominator of j and 99\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 70*u - 4. Let h be z(21). Calculate the common denominator of -49\/9 and (-560)\/(-91) - 6 - (-368)\/h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, 149, 322, 561, 866, 1237?\n\"Answer: 33*n**2 + 8*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010111110111111011 (base 2) to base 9.\nAnswer: -1147284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 244463711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58722?\nAnswer: 2, 3, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-3)\/(-15)*(-25)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 5*h - 84 + 22, -5*h = -f - 72 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141238015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.2 * -0.2.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*v - 85 = -152*v. Suppose -v*r = -15*r - 150. Let p = 1 + r. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5 + y - 3290*y**2 - 5 + 3293*y**2. Calculate z(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199512000 rounded to the nearest one million?\nAnswer: -1200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 39*j**2 + 22*j + 607. Calculate m(38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20558*z = 20532*z + 442 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 365 - 2b70?\nAnswer: -2809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f**2 - 15*f**2 - 28*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**2 + 22878*u + 5720.\nAnswer: -2*(u - 2860)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 + 4 = 4*p, -5*h = -5*p. Let g(m) = -3*m**2 + 15*m + 2. Let f be g(5). Solve f*t = -t - h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5)**30*(s**0\/s*s)**40 assuming s is positive.\nAnswer: s**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -21*m + z + 5484, 0 = z - 1. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3220 + -114?\nAnswer: -3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010101000011110101101 (base 2) to base 11.\nAnswer: 7546229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532bd7 (base 15) in base 16?\nAnswer: 3c65a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 484 = 4*y, 4*y = 2*k - k - 472. Let w = -172 - y. Let r = w - -86. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315 + -258. Solve 54*y = h*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 35*r - 6 = 0. Suppose 24 = -r*y + 30. Which is the nearest to 2\/19? (a) 1 (b) 0 (c) y (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 743*z**3 - 413*z**3 - 430*z**3.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o**(3\/5)*o)\/o)\/o)**(-20\/11))**(10\/9) assuming o is positive.\nAnswer: o**(-320\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.55678 rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3170*v**2 - 3194*v**2 - 33*v + 32*v + 2 in the form b + f*v + p*v**2 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 92661.3 litres in millilitres?\nAnswer: 92661300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 3*k**5\/10 - 73*k**4\/24 + k**2 - 2*k. What is the second derivative of h(w) wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5311170 divided by -59013.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11397.\nAnswer: 3, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - 2*x)*(x - 2*x + 3*x) - 3*x**2 + 4*x**2 - 3*x**2 + (-1 + 3 - 1)*(-31*x - 49*x + 0*x)*(-x + 5*x + 0*x).\nAnswer: -326*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j. Let a(r) = -7*r. Let o(u) = -u. Let b(k) = -a(k) + 5*o(k). What is y(b(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slsxxxxxvxqxsvxd. What is prob of sequence qlx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 1377?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -156 + 227. What is the highest common divisor of v and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-6)\/1)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.7 + 8.8. Let o be 33\/9 - (-1)\/3. Which is the smallest value? (a) f (b) o (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (950\/(-375))\/(532\/(-336)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*m - 5 + 4, 3*o = 3*m - 3. Let v be 6\/12*m\/7. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29645119.000027 + -29645153. Let w = 34.4 - 0.4. Let k = w + o. Round k to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*z**2 - z**3 + 0*z**3 - 5*z**2 - 2 + 0*z**2 in the form a*z + g*z**3 + n*z**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2454 + 2452. Let y = 0.04 - 0. Which is the nearest to l? (a) -4\/7 (b) y (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1091 or -1094?\nAnswer: -1091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4 and -5\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200232 and 7776.\nAnswer: 800928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -98, -350, -602, -854, -1106?\n\"Answer: -252*o + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -409. Let y = 665 - z. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 1. Let k be u(1). Suppose -k*h - 8 = -7*h. Calculate the greatest common factor of 6 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17\/(-4) - 7\/(-28). What is the third biggest value in 0.2, 1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7488089707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1670 - -1673. Solve -3*c - d*l - 9 = -6*l, 3 = 4*c - l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -20 - (28\/(-4) - -4). Round j to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1062*b**2 + 198*b + 16. Let m be h(-21). Round m to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 946350 to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (228\/399)\/(6\/(-3)*(-1)\/7). Put 11, 5, w, -1, -4 in descending order.\nAnswer: 11, 5, w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1894427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*p + 68 = 226 + 190. Solve -5 = 5*s - 4*u, p*s - 3*u = 7*s + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**5\/20 - w**4\/2 - w**3 + 7*w**2 - 3*w. Let n(v) = -v**2 + 6*v - 2. Let g be n(3). Does 7 divide a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**4 - 75*n**3 + 2*n**2 + 2*n - 248. Let v(q) = 2*q**3 + q**2 + q + 2. Let j(w) = o(w) - 2*v(w). Differentiate j(k) wrt k.\nAnswer: -12*k**3 - 237*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -1*sqrt(117))*-3 - sqrt(117) - 1*sqrt(117)*1)\/((sqrt(9) - sqrt(324)*-1) + sqrt(720)\/sqrt(5)).\nAnswer: -2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65b6 (base 12) in base 10?\nAnswer: 11226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - -68?\nAnswer: 68.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20201 + 0?\nAnswer: 20201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5864144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -0.0548, -32, -7.\nAnswer: -32, -7, -1\/12, -0.0548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 5*d + 3. Suppose 2*z + 2*z = 8. Let o(j) = 3*j**2 + 4. Let l be o(z). Let h = -20 + l. Determine r(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = m + 29, -2*m = -288*u + 583*u - 290*u + 70 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-1*(-40)\/60.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (35 + -129) - 123?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64655 - 7?\nAnswer: 64646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by -12.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - (13 + -4))\/(2 - 1). What is the second smallest value in -4\/3, 4, d, -0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.2 and -46.31969544?\nAnswer: 44.11969544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1100)\/75)\/((-18)\/27).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s - 5278 + 5141 + 14*s.\nAnswer: 32*s - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 20\/238253 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = 7. Let i(q) = 2*q**2 + 2*q + 1. Suppose 0 = -5*w - 1 - 4. Let t be i(w). Sort t, u, 2 in decreasing order.\nAnswer: u, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h - 17. Let i be g(5). Calculate the highest common divisor of 196 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 119820*a.\nAnswer: -a*(a + 119820)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*h = 2*n + 3316, 5*h + 1672 = -2*n. Let f(s) = -56*s**3 - 4*s**2 + 5*s + 11. Let q be f(-3). Let i = q + n. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -271*u**2*z**3 - 247*u**2*z**2 + 234388*u**2 - 154024*u*z**3 wrt z?\nAnswer: -1626*u**2 - 924144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0766 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m**2 + m + 1. Let q(t) = 5*t**3 + 2*t - 1. Suppose 42*i - 21 = 156*i + 93. Give i*w(z) - q(z).\nAnswer: -4*z**3 - z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1393 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 2, o: 1, e: 2, w: 1}. What is prob of picking 2 y and 1 e?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5)*y)**(-13))**(-1)*(y**(-6)\/(y*((y\/(y**(-13)*y))\/y)\/y))**36 assuming y is positive.\nAnswer: y**(-3201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knvyvxvvn. Give prob of picking 1 x and 3 v.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 15*r**2 + 5*r. List the prime factors of s(-4).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 - 4*i - 1. Let o be n(-3). Suppose -h + 5 = o. What is the units digit of 17*(-2 - (-9)\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -302\/714517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s + 12*s**2 - 3*s**2 - 40*s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoeoeroereeexexeere. What is prob of picking 3 e?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 152142580339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 16125079.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and -0.34.\nAnswer: 9.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/257502 and 26\/10024185.\nAnswer: 140338590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -3*y**2\/2 + 6. Let s(l) be the first derivative of -2*l**3\/3 - 4. What is j(s(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5\/3)\/(t*t\/t**(5\/6))*t**(-3)*t**1 assuming t is positive.\nAnswer: t**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(2\/49)*w*w\/(w**21*w) assuming w is positive.\nAnswer: w**(-929\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*z = -53*z + 49. Let w = 201 - z. Calculate the highest common divisor of 38 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.7, -0.0349, -5\/3 in descending order.\nAnswer: 2.7, -0.0349, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -431 + -280?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 4*o + 3*o**4 + (-1 - 3*o + 1)*(-2*o + 2*o - 2*o**3) - 3*o**4 - 3*o**4 + 2*o**4.\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, t: 5}. Give prob of picking 2 t.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(sqrt(17) + sqrt(272)))**2.\nAnswer: 6795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 5*d**4\/4 - 3*d**3 + 3*d**2\/2 - 4*d. Let x(j) = 0. Calculate j.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 3\/8, -9, 51?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 4*w**2 - w - 6. Let y(g) = 3*g**3 + 2*g - 2*g**3 + 5 - g + 3*g**2. Let k(b) = 2*j(b) + 3*y(b). Is k(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0791 times -561.2\nAnswer: -44.39092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 80573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1, 2\/3, -4\/11, -219 in increasing order.\nAnswer: -219, -0.4, -4\/11, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3)*-2 + sqrt(3) + 3).\nAnswer: -6 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p + 0*p - p + 5 - 16. Let k(s) = -4. What is 11*k(z) - 4*n(z)?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -379.\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 126*(-5)\/(-20)*-2. Let y = s - -80. What is the greatest common factor of 153 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 6. Suppose 0 = 5*w - 11 + 1. What is the third derivative of -2*n**w + p*n**3 - 4*n**3 + 2*n**3 wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d**4\/3 + 26678*d**3\/3 + 286934*d**2\/3 - 58454*d\/3 = 0. Calculate d.\nAnswer: -2657, -11, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.3 (b) -5\/26 (c) -0.1 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kykkkykkkk. What is prob of picking 1 k and 1 y?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 70 = 6*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 70 + (5 - 7). What is the greatest common factor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-1 + -3 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329 - 328.2. What is the nearest to 0 in 0.15, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*z + 72, -5*b = -4*z + 27 + 45. Suppose -5*d = -4*l + 33, 4*l + 0*d = 2*d + z. Which is bigger: l or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0*q + 0*q + 3*q - 2*q. Calculate w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -172*q**4\/23 + 3242*q**3\/23 - 1234*q**2\/23 - 6570*q\/23 + 4734\/23 = 0. What is q?\nAnswer: -3\/2, 1, 789\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5352.9689 - -5351. Let l = 0.0311 - g. Suppose 5*n = -5*c, 0 = -3*n - n - c - 15. What is the smallest value in -1\/4, l, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/22289428 and 93\/8.\nAnswer: 44578856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*i + 559*i - 91 = -14 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -5*o**3\/2 - 12*o**2 - 2*o. Find the first derivative of z(m) wrt m.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161.2 - 161.1309. Let s = d + 60.7309. Round s to 0 dps.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09999 from 5.\nAnswer: 4.90001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2*g)*(-2 - g + 2) + g**2 - 5*g**2 + 5*g**2 + g**2 - g**2 - 2*g**2)*(7*g**2 + 20*g**2 - 28*g**2 - 19)*(5 - 4 - 15).\nAnswer: -42*g**4 - 798*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1. Let p be 1\/(-2) - (-10)\/(4 + -24). Let g(o) = 2 - 5 + 4*o - 5. Let v(n) = p*g(n) - 5*w(n). Determine v(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 32*b + 85. Let r(n) = -161*n - 425. Suppose 98 = 9*a - 1. Let u(g) = a*f(g) + 2*r(g). Is u(29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 9:18 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -3 + (-6)\/(-1). Let w = k + -1. Let d be (-60)\/(-9) + 4\/(-6). What is the greatest common factor of d and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/13 - 5458*z**3\/13 - 16356*z**2\/13 + 8*z\/13 + 21808\/13 = 0 for z.\nAnswer: -2726, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:29 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -220. Let y = -6 - d. Is 51 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6*(-2)\/6*(-1)\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1456?\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.4 and 652235.9151407.\nAnswer: 652238.3151407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3 + 10*b**2*i - 2*b**2 - 2*b*i + 454*i wrt b.\nAnswer: -12*b + 20*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 - -9567?\nAnswer: 9517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {f: 2, u: 1, t: 4, n: 2, g: 1}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 60 = -5*r. Let y be (1\/(-3))\/(1\/r). Suppose y*v - 38 = -0*v - 3*j, -40 = -4*v - 4*j. Is 8 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 7*f - 1. Let t(i) = 229*i**3 + 6*i**2 + 16*i - 13. Let k(a) = t(a) - 4*y(a). What is the second derivative of k(n) wrt n?\nAnswer: 1374*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -1223?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 305313266?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y. Suppose 0 = -3*m + 2*m + 3*u + 930, y = 5*u + 25. Suppose -4*b + 5*r = b - m, 4*r + 171 = b. Calculate the greatest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1577 at least -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -215179*a**5*q**2 - 2468*a**2*q + a*q**2 + 2*a*q + 5 wrt a?\nAnswer: -12910740*a**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -3) + 0*2\/4. Let n(s) = -2*s + 3. Let y(q) = 2. Let u(v) = -v - 7. Let r(m) = -2*u(m) - 9*y(m). Give o*r(i) + 3*n(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*k - 2*k - 6 = 0, 4*u - 8 = -4*k. Let o = 4 - u. Let x(z) = 4*z**2 - z. Is x(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.079 - 29.921. Let y = m - -29.9999996. Round y to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q - 1. Let v be (-1 - 0) + (2 - 1). Let n = q - v. Put 4, -4, n in increasing order.\nAnswer: -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/13 + 1635760\/104.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-117))\/((198\/(-324))\/11)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3005\/3 + 1002. What is the closest to 0.1 in k, 566, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*s - 110, s - 2*u = 7 + 15. Let x = s - 13. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 - (4 - 2) - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -7, -63, -189, -409, -747, -1227?\nAnswer: -1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*y**2 - 239*y**2 + 472*y**2 + 2*y**3 - y**4 + y + 1 + 19*y**3 as r*y + j*y**4 + f*y**2 + l + w*y**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**2 + 68*r - 47. Is k(-25) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, o: 6, e: 2}. What is prob of picking 3 f and 1 e?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 0 (b) -2 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66563.9931 rounded to the nearest one hundred?\nAnswer: -66600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.7 + -28.6. Which is the second smallest value? (a) o (b) 0.2 (c) 2\/23 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14359 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (138842 - -18*(-8)\/24) + 11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -0.1 (b) -3 (c) -4\/9 (d) 12\/803 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8408 divided by 4.\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1246620 and 1246620.\nAnswer: 1246620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -120, -555, -1594, -3537, -6684, -11335?\n\"Answer: -50*u**3 - 2*u**2 - 79*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 128.4427?\nAnswer: 127.9427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139023*j**4 + 36607 with respect to j.\nAnswer: -556092*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) - 14\/(-63). Suppose o = n + 2 - 19. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.19076997634 plus -3?\nAnswer: -160.19076997634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7412129.\nAnswer: 263, 28183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469 = 4*v + 3*l, -5*l + 59 = v - 71. Determine j, given that -220*j + 12*j**4 + 4*j**4 + 0*j**4 - 34 - j**4 - 26 + 20*j**3 - v*j**2 = 0.\nAnswer: -2, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -29.3\nAnswer: 117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5665635802483 + 0.07.\nAnswer: -5665635802482.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -54, -125, -234, -387, -590?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -46. Let m = 25 - h. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 192332.\nAnswer: 769328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*g - 20*g + 105 - 110 in the form z + t*g and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3 + 30990*d**2 - 3318648*d = 0. Calculate d.\nAnswer: -10436, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 16*b)*(-10 + 7 - 1 - 6*b) + b**2 + 5*b**2 - 2*b**2.\nAnswer: 100*b**2 + 64*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 124, 249, 416, 625?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*n**2 - 24510*n + 1551000.\nAnswer: 3*(n - 1100)*(7*n - 470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l + 284. Let p be n(-20). Sort -6, p, -1 in descending order.\nAnswer: p, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 48 = 2*s. Let q be 12\/s - (-45)\/10. Solve 3*g + 4 = -5*b, 1 = -3*b - g - q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 768*f**4 - 772*f**4 + 0*f - 2 - 10*f to the form y*f**3 + h + j*f**2 + i*f + q*f**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h - 25 = -3*d, 0 = -2*d + 10. Which is the biggest value? (a) -2\/5 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 + 1 = 0. Let z be 2*(2 + l\/(-6)). Solve z*n + 13 = -2*a, -3*a = -4*n - 15 - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*p + 351*p + 59*p + 55*p.\nAnswer: 401*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + r + 2*r + (0 - 1 + 3)*(-2 - 2*r + 2) + 2*r + 0*r - 4*r + 1 - r - 1 + 0*r - 57*r + r in the form o + v*r and give v.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 + 90*c - 243 = 0 for c.\nAnswer: 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*r + 62*r + 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -30531335?\nAnswer: -30531332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-12))\/((-20)\/12). Determine g, given that -m - 2\/5*g**2 - 4\/5*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31972, 30750, 27440, 20998, 10380, -5458, -27560, -56970?\n\"Answer: -174*q**3 - 4*q + 32150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 1. Suppose 0 = -2*g - 0*g - 4. Let k be z(g). Find the third derivative of -3*m**k + m**4 - m**4 - 3*m**2 + 0*m**5 wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8089 divided by 4?\nAnswer: -8089\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g + 18. Let q(c) = 5*c - 8. Let f(w) = -9*q(w) - 4*y(w). Let h(n) = -2*n. Determine f(h(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(99) + 1*(-2 + sqrt(11) + sqrt(11)).\nAnswer: -sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 7, n: 1, b: 4, q: 2}. What is prob of picking 1 q and 1 b?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1171925328?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -63.8. Let o = 6.8 - u. Let m be (-4)\/(-18) - 8\/(-24). Is m equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 9448*g + 28380.\nAnswer: -4*(g - 3)*(g + 2365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 5:16 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 497 - 0*5\/(-10)*-2. Which is greater: 2989\/6 or h?\nAnswer: 2989\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s + 73. Calculate m(18).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315967 is divided by 63181.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghi when three letters picked without replacement from hrhigzq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {o: 1, a: 5, r: 6, g: 3, m: 5}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2951 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 9521160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + u + 4)*(-3 + 1 + 1)*(16*u - 5*u - 8*u) to the form t + a*u**2 + w*u and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.3 - -7.25. Which is the closest to -0.1? (a) 5 (b) r (c) -2\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-18))\/((-1)\/(4\/2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 5*r**2 - r + 7. Let j = -4 - 1. Let h be i(j). What is the greatest common divisor of 8 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)*d*d**(-6))\/((d\/d**(-3))\/d)**(2\/79))**(-2\/29))**50 assuming d is positive.\nAnswer: d**(55900\/2291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 193, -1\/5, 1\/3, -1\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 17. Let f be 2\/3 + ((-9443)\/1659 - x). Suppose -9 + 12 = -3*p. Which is bigger: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -2. Let o be l + 6\/3 - -5459992. Suppose -i + b - 678230 = 1141772, 0 = 3*i + 4*b + o. What is i rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 99?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 55*f**2 + 247*f - 96. Let c be j(-50). What is the greatest common factor of c and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 65.962495457.\nAnswer: 65.762495457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07735 - 7712694.\nAnswer: -7712693.92265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 4b?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32996 and 115712?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 3*k + 40. Let m be a(8). Let w be (4\/10)\/((-8)\/(-680)). Suppose -4*l = -5*l - 4*b - 17, -5*b - w = -3*l. Solve -g = -m + l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10640)\/(-448))\/(30\/8*148\/888).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7733783 rounded to 3 decimal places?\nAnswer: 0.773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + n**5 - n**5 + (-n**3 - n**3 + 3*n**3)*(-7*n**2 + 4*n**2 - 5*n**2) + (2*n**2 + 0*n**2 - 3*n**2)*(-3*n**3 + 3*n**3 - n**3).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/3 - 1127\/(-92). Are -15\/8 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -60650, -61754, -62858?\n\"Answer: -1104*y - 59546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*(sqrt(136)*3 + sqrt(136)) - (sqrt(136) + -1*sqrt(136)*3))\/((sqrt(320)\/(-2*sqrt(8)))\/(sqrt(60)\/(sqrt(12)*2))))**2.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 750657785 to the power of 1\/2, to the nearest integer?\nAnswer: 27398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 + 48*o**2\/5 - 158*o\/5 + 108\/5.\nAnswer: 2*(o - 2)*(o - 1)*(o + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (166 - 3)*9. Suppose 0 = 3*i - 2*a + 872, 8*i - 3*i = a - g. What is the lowest common multiple of (-2)\/12 - i\/36 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92616723 take away -0.873?\nAnswer: -92616722.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (26 - 16 - -17)) + 15?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 15. Let r be b(-8). Let h = 10.7 + -11. Is h at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 0, -6, 2, 112 in decreasing order.\nAnswer: 112, 5, 2, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and -36.5.\nAnswer: 1.4965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**2 - 9*g + 8. Give l(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*r**3 + 36*r**3 - 57*r**3.\nAnswer: -206*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (6 - 10) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.3 (c) 1\/1422 (d) 2\/15 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 6 = -30. Suppose -q*s + 8*s - 10 = 0. Solve -3*l = s*d + 4, -2*d - d + 2*l + 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34681093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 18 = -13*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 0*l**5 + 2*l**5 + 3 + l**5 - 3 + (0*l**3 + 4*l**3 - l**3)*(4*l**2 - l**2 - l**2) + 6*l**5 + 3*l**5 - l**5.\nAnswer: 17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04374188 rounded to four decimal places?\nAnswer: 0.0437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -1) + -129 + 143\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21292350.12 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 552 = -2*g + 566, -2*g = y + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 2, z: 1, v: 2}. What is prob of picking 1 l and 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.02, 2\/327, -1, 20?\nAnswer: 2\/327","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert -71e (base 16) to base 11.\nAnswer: -1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112110100202122 (base 3) in base 15?\nAnswer: a1b8c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 489825276 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603681.9ml to litres.\nAnswer: 603.6819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 876 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 336?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1477 or 1480?\nAnswer: 1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.1 (c) 196\/17517\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 + 1797*g**2\/5 + 809991*g\/5 + 2413827\/5.\nAnswer: (g + 3)*(g + 897)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 14. Let p be (2\/4)\/((-5)\/(-40)) + -9. Let n be g(p). Solve -n = 2*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8518, 17035, 25552, 34069, 42586, 51103?\nAnswer: 59620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1354 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 111100 (base 2) to base 15\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 = 2*n - 14, 5*n + 2*h - 10 = 0. Suppose -g = -n - 5. Put 0, -2, g in decreasing order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t**3 + 5*t**2 + 2. Let z(l) = -l**3 - l**2. Determine w(q) + 5*z(q).\nAnswer: 5*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = v - 1, 3*v + 16 - 67 = -4*g. Calculate the remainder when 35 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, a: 8, f: 4}. What is prob of picking 1 j and 1 a?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3006 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -320228*c*g + 636985*c with respect to g.\nAnswer: -320228*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-4 + 1 - (16 - 18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -697*b**3*n**2 - 3*b**3 + b**2*n + 2*b**2 + 23*b*n + b - 2*n - 5244 wrt n?\nAnswer: -1394*b**3*n + b**2 + 23*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o. Calculate h(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = 8. Suppose -2*c = 3*n - 137, -p*n + 4*c = -0*n - 216. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 1499\nAnswer: -9\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 32 - (25 - 10 - (3 + 4)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.068929? (a) 4 (b) 1\/6 (c) 3 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**6\/18 - 28*o**5\/15 + 29*o**4\/12 - 5869. Determine p so that a(p) = 0.\nAnswer: -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + 18 + 61 + -180?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -2*v**6\/3 + 10*v**2 + 24*v. Differentiate o(w) with respect to w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1178, 4697, 10610, 18959, 29786, 43133, 59042?\nAnswer: 77555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 7695424 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1166559, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2001022122 (base 3) to base 8\nAnswer: 116610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139511 + 3874783?\nAnswer: 4014294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228140 = 17516*l + 1244068 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37607?\nAnswer: 37607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let x(s) = -s**2 + 21. What is x(c(f))?\nAnswer: -f**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000907998935 to five dps.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -7, 3\/8, 0.228, -3, -4.2?\nAnswer: 0.228","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose 0 = -4*r + 3*r, -2*r - 10 = -l*b. Let n(m) = m**3 - 4*m**2 - 6*m + 2. What is n(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 + 2*a**2)*(-a**2 - 2*a**2 + 5*a**2 + (2 - 2 + 1)*(-a - a**2 + a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 10. Let y be -4 - -7 - l\/(-2). Which is greater: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j. Suppose 0 = 2*x - 2. Let f(c) = -c. Suppose 55 - 5 = -10*s. Calculate s*f(l) + x*q(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1011122211?\nAnswer: 1011122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 89b0 - 32?\nAnswer: 897b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1570 + 7193. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*w**5 - 6*w**4 + 4493*w**3 - w**2 + 13993*w - 25.\nAnswer: -4800*w**2 - 144*w + 26958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15843\/868 + -1\/434. Find the common denominator of w and 7\/(-21)*(858\/153 - 5).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (4 - (10 - 2)) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q - 2*q**3 + (-3 + 0 + 4)*(-3*q + q**3 + 3*q) + q**3 + 2*q**3 - q**3 - 22*q**3 + 11*q**3 - 14*q**3 - 1630*q**3 - 165*q**3 + 143*q**3.\nAnswer: -1676*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k**2 - 6*k + 4. Let s be i(2). Let u be (s\/5)\/(42\/(-35)). Which is the second biggest value? (a) u (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -16. Let o = -5 - a. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 395*r**2 - 3*r - 4. Calculate b(-1).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times -3\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1698620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q - 4 + 2 + 0. Let t(d) = -d**3 - 2*d**2 + 5*d + 7. Let c be t(-3). Let l be j(c). What is the highest common divisor of l and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*s - 16 = 0, -5*d = 3*s - 6*s - 11. Suppose d*j - t = 2*j + 28, -j + t + 14 = 0. Let c = j + 16. What is the greatest common divisor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4 + (-5 + 2 + 2)*(-1 + 1 - 1) - 5 + 4 - 2)*(3*a - a - 3*a + (-a + a - 2*a)*(3 - 7 + 2)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - 2*t**2 + 2*t**2 + (85 + 49*t - 85)*(-t + 2*t + 0*t) to the form p + k*t + f*t**2 and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1490\/7 + 1494\/7. Which is the nearest to 2\/19? (a) 4 (b) -2\/13 (c) o (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**5\/9 - 1123*w**4\/9 + 8995*w**3\/9 + 94727*w**2\/9 - 144818*w\/9 + 42224\/9 = 0 for w.\nAnswer: -232, -7, 2\/5, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10547235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6922731 is divided by 20421?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106857444*j - 6*j**3 - 106857444*j.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*f - 600 = -59*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*o = 764*o + 48 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*k + 5390 + 934 = 0 for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:09 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 5*w. Let n be h(4). Suppose -n*q + 5*u - 5 = 2*u, 2*q = 5*u - 13. Let v = -3 - -2. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(3 + 36\/(-4)). Let m be 4\/k*105\/14. Calculate the highest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/876*132\/(-484).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74476685?\nAnswer: 5, 269, 55373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1221*p**3 - p**2 + 4671 wrt p?\nAnswer: -3663*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 + 7*w**3 + 6*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 6c?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-85)\/(-247945)). Let d = 1532 + m. Factor -2 + 21*p + 343\/4*p**3 - d*p**2.\nAnswer: (7*p - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 331500?\nAnswer: 331500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 177*x + 358. Let z be y(2). Solve -b - 6 = -z for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m\/m**7)\/m)*m)\/m*m**(-17))**(3\/25))**(-1\/38) assuming m is positive.\nAnswer: m**(3\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99351368*p**5 + 14821751*p**2 wrt p.\nAnswer: 5961082080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2595 + -43. List the prime factors of v.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 21*a - 11. Let f(n) = -7*n + 4. Let q(y) = -11*f(y) - 4*v(y). Let h(b) = b**2. What is q(h(r))?\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 5*a**2 - 4*a - 1. Let f(t) = -t - 4. Let z be f(-7). Let s be v(z). Suppose 4*l - s*l = -9. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, 1\/6, 229, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + -123031a?\nAnswer: -1230285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37002719 and 9295.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3164842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1258704)\/(-27) + -9 + 9 - (-1)\/3?\nAnswer: 46619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1271*i**7\/70 + i**6\/120 - 77*i**5\/4 - i**4\/24 + 2101*i**2. What is the third derivative of m(s) wrt s?\nAnswer: 91512*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5732768 and 372.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*h = 644869988, -h - 927885740 = 2*g + 361854263. Round g to the nearest 1000000.\nAnswer: -645000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41349 and 33.\nAnswer: 41349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. List the prime factors of t\/(-8) - (-185)\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/16 in -1, 0.04, -4.2, -3, 1\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -319959703.7 - -27?\nAnswer: -319959676.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3486623.29 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= 215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u - 58. Let a be q(6). Which is smaller: 33\/14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 91486*t. Let o(d) = -2*d. Calculate g(o(m)).\nAnswer: -182972*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from dydtnfytdutt.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 4, w + 2*w + l + 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -277, -275, -271, -265, -257, -247, -235?\n\"Answer: u**2 - u - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (163 + -173 + (4 - 1))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39877 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 16*w - 2. Let f(k) = -k**2 + 8*k - 1. Suppose 5*o + 7 = -4*r, -2*o + 2 = -r + 10. Let p(c) = o*g(c) + 5*f(c). What is p(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 24) + 8 + 24\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 15*n**2 + 54*n - 7. Give h(12).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let d(i) = -5*i + 67. Calculate -d(l) + 6*x(l).\nAnswer: -l - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 229 - -35. Let m(s) = -264 + v + 3*s. Let a(q) = -3*q. Determine m(a(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3 - 5. Let i(w) = 1 + h - 3 + w. Let x(c) be the second derivative of c**4\/12 + 2*c. Calculate x(i(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.325928 to 1 dp.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -12 + (-3 + 3 - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 6:45 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -933 - -1610. Suppose 5*n - 2522 = -b. Calculate the highest common factor of n and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-5)*(-4812)\/(-10827)*(-80)\/(-2).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-210)\/(-12)))\/(3\/(-42)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 4:15 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2. Let m(b) = 32118*b**2 + 1. What is m(u(z))?\nAnswer: 513888*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378349 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzzs when four letters picked without replacement from {z: 3, s: 2, q: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45291089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -14 - (65 - ((-13 - -38) + 31)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 77340 (base 8) to base 10\nAnswer: 32480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/12 + (-1457)\/(-12)*-5. Let t = c + -10441\/12. Let g = 1519 + t. Find the common denominator of g and -7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 16*l**4 - 532*l**3 - 180968*l**2 - 315420*l - 135000 = 0.\nAnswer: -90, -1, -3\/4, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 - 85.9. Which is the nearest to 1? (a) -0.3 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 1\/3*y**6 + 0 - 35\/6*y**3 + 1\/42*y**7 + 1\/2*y**5 + 0*y - 5\/3*y**4 - 287*y**2. Factor l(i).\nAnswer: 5*(i - 1)*(i + 1)**2*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30428679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(154\/(-2772))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13807, -13808, -13809, -13810?\n\"Answer: -j - 13806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/39)\/(12\/(-8)). Put -2, a, 2 in decreasing order.\nAnswer: 2, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 0.19?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 + -410304403?\nAnswer: -410310142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 2327 = 78*y + 84*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 6*n - 2*n)*(-3 + 4*n**2 + 3) + n**3 - n**3 + n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 118. Which is smaller: -3\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*q = 14. Factor 19*n + 6 + n**q - 11*n - 13*n.\nAnswer: (n - 3)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 3350?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(275) + sqrt(275) + 0 + -5 - (sqrt(275) - (3 + 2 + sqrt(275))))**2.\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 885 and 79020?\nAnswer: 4662180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 = q - 4*g, 5*g + 2520 = q + 4*q. Suppose q = -11*p - 160. Is p < -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*z + 222 = -v, -v - 3*z = -115. Suppose -98*k - 1360 = -v*k. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 52) + 30 - (-5 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 229*l = -216*l + 33, b - 9 = 4*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3832, 6337, 6178, 2023, -7460?\nAnswer: -23603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = 5, -3*w - 4*h + 17 = 0. Let t be 15*1\/(-1)*w. What is the common denominator of 6\/t - 589\/60 and 73\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6826 - -962453\/141. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -427be0 (base 15) to base 16.\nAnswer: -304b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 0, -0.2, -3 in decreasing order.\nAnswer: 0, -0.2, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7312295 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11349 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11059\/5 + 63739\/30. Which is smaller: l or -87?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*o = o + 2, -3*x + 4*o + 1 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6068358031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -53.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*l + 58*l - 195*l + 72*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 11. Let d(x) be the first derivative of 0*x - 2\/3*x**3 + 0*x**2 + k. Let v(r) = r. Determine d(v(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 17 = -58. Let j = 17 + z. Suppose j*r + 6 = 50. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l. Let o(i) = 3*i - 3*i - i. What is 4*n(r) + 14*o(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**4 - 232 - 3*y + y**4 + 234 to the form k*y**3 + r*y + m*y**2 + i*y**4 + a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39729606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 428, 856, 1570, 2666, 4240, 6388?\nAnswer: 9206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -612 - -1b?\nAnswer: -5f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -156, -338, -582, -882, -1232?\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00819163 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + z**2 - z + 1. Let l(m) = 21*m**2 - 4*m - m**3 + 0*m**3 - 17*m**2 - 1 + 4. Suppose -149*v = 150*v - 204 - 992. Calculate v*d(o) - l(o).\nAnswer: 5*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18749, 34366, 50083, 65906, 81841, 97894, 114071?\nAnswer: 130378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7890, -15779, -23666, -31551?\n\"Answer: v**2 - 7892*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, -0.01, 28, -39, 3, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2953)\/(-6) + 110\/132 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 6 = 0, 35*j - 3*r - 17 = 31*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 - (-1 + (-145)\/(-20)))*4304.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137824*g + 46290*g + 4 - 4.\nAnswer: -91534*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 806870, 3227438, 7261716, 12909704, 20171402, 29046810, 39535928?\nAnswer: 51638756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = a - d + 22, 0 = -4*a + d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r + 3. Solve -3*g = 3*c - 0*g - 3, -c - 5*g + r = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28162\/84495 + 1\/28165. Determine r so that 729*r - 6561 - 27*r**2 + j*r**3 = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c1 + -a?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a - 35. Let g be x(-7). Let v be 10\/(-15) + (4 - g\/(-24)). Find j such that 0 - 1\/8*j**2 - v*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/50 - n**4\/15 - 7*n**3\/15 - 4*n**2\/5 + 12*n. Find z, given that r(z) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 3*b**2 - 6*b + 3. Suppose n = 6 - 2. Give l(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - n + 15. Let s = -4 - -8. Suppose -2*k + 3*y = -6, -s*y - 29 = -2*k - 3*k. What is the remainder when k is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s - u - 23 = 27*s, -135 = -4*s + 17*u. Put s, -5, -1, -2\/7, 0.3 in increasing order.\nAnswer: -5, -1, -2\/7, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(4*j**2 - 4*j**2 + 21*j**2 - 2*j).\nAnswer: -21*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/3 and (-36)\/(-528)*(1 - 357\/(-9))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (11 - 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*v + 30, 10*v - 13*v - 40 = -5*y. Suppose 0 = -5*x + 4*h - 12058, -2 = -y*h + 8. What is x rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 17*k + 94 = 0. Suppose m + 2*g = k - 4, -4*m - 2*g + 190 = 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93507243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32217023?\nAnswer: 17, 1895119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1980 or 1987?\nAnswer: 1980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*n + 29 = 0, -2*m - 5*n = -49 - 6. Find the first derivative of m + 27 - 42 - 16*l**3 - 37*l**3 wrt l.\nAnswer: -159*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000214011208 rounded to 7 decimal places?\nAnswer: 0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 8*g + 5*i, -3*g - 22*i = -20*i + 130 - 40 - 42 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*c + 18*c + 19*c)*(17*c**3 + 42*c**3 + 110*c**3).\nAnswer: 1521*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 divided by 277?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and (-23)\/115 - (-31)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/2, 2.48, -0.4, 3, -26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1135 - -0.2?\nAnswer: -9.9135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -922 - -921. Let d(y) = -y - 18 + 18. Let v(s) = -3*s**2 - s - 2. What is o*d(n) + v(n)?\nAnswer: -3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 11:30 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 175 = -193. Let c be (1\/2)\/(1\/(-10)). Let r be z + c - (2 - 2). Does -2 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -12, -2, 22, 66?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 171\/45 + (-2979078)\/786710\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-40) + (-8)\/(-35). Which is the second smallest value? (a) f (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001338917903 to 6 decimal places.\nAnswer: 0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5086938*b**4 - 12986567*b wrt b?\nAnswer: -61043256*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9993 - -10012. Solve -d*j - 13 = -51 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + 17. Suppose 4*a = n + 4. Suppose -2*y + 655 = -5*i, -4*y - a = -30. Round i to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 82 = 27*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 6*u + 4. Let j be s(6). Suppose 792 = 2*r + 2*r - j*b, -4*b = 5*r - 990. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.129228692 rounded to six decimal places?\nAnswer: -0.129229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3315917, -13263680, -29843283, -53054726, -82898009?\n\"Answer: -3315920*k**2 - 3*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -31. Let q = g + 8.7. Let r = -0.16 + -0.84. Which is the nearest to r? (a) q (b) 4\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 16. Let u = 34 + j. Solve 3*k + 6 = -c + 2, -c = -4*k - u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22098)\/(-261) - ((-96)\/(-9))\/16?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:40 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 34. Let u = w - -14. Let m = u + -23.99925. Round m to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -33) + (-18 - 0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 148*m - 735. Determine l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6\/17 (b) -1\/14 (c) 0.3 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/17976 and -16\/39269.\nAnswer: 6597192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2324\/784 - ((-70)\/72 + 2\/9)) + -5?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 4*y**3 + 2*y**3)*(0*y - 2*y - y + y + 4 - 4 + (-y + 5*y - 2*y)*(-4 + 1 + 1) - y + y - 2*y).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0 + 0*q**4 - 2*q**2 + 0*q**3 - 1\/15*q**5 + 0*q. Let g(v) = 0*v + 4*v - 2*v. Determine w(g(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3251 = -13*c - a, 0 = -c - 2*a + 133 + 119. What is the remainder when c is divided by 88?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4548931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6 - (-58)\/(-8))\/((-5)\/(-5)))\/(520\/(-160)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c + 87 + 37*c + 36*c - 87.\nAnswer: 53*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6287993, 6287994, 6287995, 6287996?\nAnswer: 6287997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-3)*6*1\/(-4). Suppose 4*r - 22 = -q, -g*q = -r - 5*q + 9. What is the third derivative of 7*c**r - c**2 + 13*c**2 + 12*c**5 - 3*c**5 wrt c?\nAnswer: 960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(684) - ((sqrt(684) - (4 + 2*sqrt(684)) - sqrt(684) - sqrt(684)) + sqrt(684) + sqrt(684))) + 2 + 0 + sqrt(684) + sqrt(684))**2.\nAnswer: -21960 - 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:16 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -73.9999528. Round a to six dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 - (0 + -3 - -8). Are 7 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -521 (base 13) to base 7.\nAnswer: -2354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -208, -415, -760, -1243?\n\"Answer: -69*d**2 - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1)*(-13 - -14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 + d + 2. Give g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-3) + (2 - 4). Suppose -23 = 5*b - 2*h, 0*b + 3*h - u = 3*b. Let k(w) = w + 1. Give k(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20304 and 10785936?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**4\/8 + 83*u**3\/6 - 66*u**2 + 2. Let o be t(-16). Calculate the highest common divisor of o and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/5)\/((-2)\/(-130)). Let c = 23 + v. What is the remainder when 30*(c - 27\/(-6)) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + -1919?\nAnswer: -1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 269998979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrz when three letters picked without replacement from {r: 1, z: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17973, -17971, -17969, -17967, -17965, -17963?\n\"Answer: 2*l - 17975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 135 = -69. Let m = 257 + -22. What is the remainder when m is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 + 231*x**4 + 1635*x**3 - 11523*x**2 - 15240*x + 24900 = 0 for x.\nAnswer: -10, -2, 1, 5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, i: 4, n: 1, r: 2, u: 6, v: 2}. What is prob of picking 1 u, 1 v, and 2 i?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/69 in -24, -1\/8, 2, 2\/9, -6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 23*g**3 + 3*g - 3. Let k(x) = -620*x**3 - 80*x + 80. Let j = -341 - -338. Determine j*k(c) - 80*r(c).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 smaller than 612.987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*l + 94. Let r = l - 11. Suppose -2*t + 13 = -3*z, -t = -4*z + 2*t - r. Is -3\/22 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 58. Let y(p) = -2*p**2. Determine y(n(g)).\nAnswer: -2*g**4 - 232*g**2 - 6728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -10*c + 180. Let f be 2 + -5 + 5 + 3. Suppose -8 = -f*z + 22. Calculate the highest common factor of c and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 123b?\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-9 - (-44)\/5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**4 + 62*d**3 - 12*d**2 - 72*d - 5. Let i(f) = f**4 + 31*f**3 - 7*f**2 - 37*f - 3. Let p(a) = 5*i(a) - 3*n(a). Suppose p(j) = 0. What is j?\nAnswer: -31, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, c: 3}. What is prob of picking 3 m?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203013 (base 4) in base 14?\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from xxxxfxbfffbxx?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 - 9*p - 3. Let u(s) = 7*s**2 - 8*s - 3. Suppose -3*x + 4 = 3*b + 16, 22 = -x + 5*b. Let g(a) = x*u(a) + 6*q(a). Factor g(r).\nAnswer: -(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129511844 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 - 17*q**2 - 21*q - 21. Let i(a) = 2*a**3 - a**2 + 1. Let x(f) = -3*i(f) + p(f). Is 68 a factor of x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.420809053 + 169.\nAnswer: 168.579190947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*r + 55 = -0*x, -4*r = -20. Let k(z) = -5*z**2 - 9*z - 4. Let y(q) = 2*q**2 + q - 1. Let w(l) = k(l) + 3*y(l). Calculate w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/8)\/((-3)\/948). Let o = w - 144. Let h = 146 + o. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3*x - 8, 0 = -177*a + 174*a + x - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c + 3 + 6*c**2 - 5*c - c + c**3. Let y be w(-4). What is y rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*k**4 + 155*k**3 + 504*k**2 - 20*k = 0. Calculate k.\nAnswer: -2, 0, 2\/51, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.16 - -71.84. Let w = 207 + -112. Let o = w - u. What is the fourth smallest value in -2, o, 2\/3, 2\/15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*y - 645*y - 5*l - 7 = 0, -5*y = 2*l + 28 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-216)\/90)\/(2\/(-15)). Let t(s) = 4*s**3 + s**2 + s. Let w be t(2). Let y = w - k. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/27))\/(m\/(m*m*m**(-5))*m))\/(m**1)**38)**(-20) assuming m is positive.\nAnswer: m**(22720\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166.8 + -7559.8. Let r = d - -7387.847. Let p = r + 5.2. What is p rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59, -99, -117, -113, -87, -39?\n\"Answer: 11*k**2 - 73*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25625 and -57.8?\nAnswer: 25682.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (-5 + 5)\/(-7))*457. Let y = -908 - t. Let r = 0.2 + 2.8. Which is the closest to 3? (a) y (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(77) + -2*sqrt(77))\/sqrt(11) + sqrt(7) + (sqrt(7) + (-2*sqrt(14)\/sqrt(2) - sqrt(7)))**2.\nAnswer: sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/24)\/(198\/(-1188)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 0*n + 0*n**3 + 1\/8*n**4 + 3*n**2 + 0. Let o(i) = -5*i**2. Calculate o(t(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26586490 divided by 565670.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -7. Let y(n) = 3*n**2 - 5 - 6*n + 0*n**3 + 0*n**2 + n**3. Let m be y(-4). What is the highest common factor of m and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 14)*(-2)\/2. Let k = x + -9. Let c = -16 + 13. What is the third smallest value in -0.3, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 113a4 - 198?\nAnswer: 11207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*c - 11 + 1, 2*v - 10 = -4*c. Let j(y) = -14*y + 551. Let h be j(39). Solve g - 2*z = -3 - 7, 30 = -h*g + v*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -16\/7. Let m = -0.2 - -0.1. Let h = -67 + 332\/5. Which is the smallest value? (a) m (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - 8.9. Let g = 12.0000012 + q. What is g rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 480 = -4*g, 2*r + 1143*g - 205 = 1144*g. What is the least common multiple of r and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 1 + 3. Find the first derivative of c + 3*f**4 + 0*f**2 + 0*f**2 - 7 wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 (base 11) in base 8?\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - 86b887?\nAnswer: -86b879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0764 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1545 - 5*s**2 - 3085 + 1539 + 35*s.\nAnswer: -5*s**2 + 35*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**4 - x**3 + 2*x**2 + 1. Let n(s) = -2*s**4 + 4*s**3 - 8*s**2 + 552*s + 7133. Let l(b) = -4*i(b) - n(b). Find the first derivative of l(g) wrt g.\nAnswer: 24*g**3 - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:34 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1332 (base 6) to base 2\nAnswer: 101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 618*4.2\nAnswer: 2595.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 592861033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178917?\nAnswer: 3, 23, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2958 less than -2959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**2 - 4*l**3 + 8*l**3 + 6*l**3 wrt l.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 8 + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*f - 10 - 30, 10 = -u - 4*f. Let i = -34 - u. Let b be -28*((-45)\/10 - i). Calculate the highest common factor of b and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 + 11*(-3 + 4). Sort 53, 7, k in descending order.\nAnswer: 53, 7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2\/8 + 189495\/180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 2:18 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**20\/s*s*s*s*s\/(s*s**(-15)))**(3\/5) assuming s is positive.\nAnswer: s**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, u: 2, k: 2, e: 1, v: 1, o: 1}. What is prob of sequence ekuv?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j + j. Suppose 3*r + 10*r - 195 = j. Is r > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3703401421?\nAnswer: 79, 3673, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 4b708?\nAnswer: 4b70c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.932005 millennia to centuries.\nAnswer: 9.32005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.39, -0.1, 0.3, 24 in decreasing order.\nAnswer: 24, 6.39, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2217673260 to the nearest one hundred thousand.\nAnswer: 2217700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20 = 0, 4*b + 0*b - 19 = -y. Suppose 3*h - 108 = y*o, 2*h - 3*o - 2*o - 78 = 0. Let l = h + -7. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2323210 (base 4) in base 8?\nAnswer: -27344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 4. Let w be 6\/9 - 20\/(-6). Solve -2*l + o - f = -w*l, 3*l - o + 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028\/5 + (7 - (-132)\/(-20)) is divided by (2*(-24)\/28)\/((-8)\/84).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 - 139. Let q(f) = -121*f - 54. Is q(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2672999.662 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*l - 23 = -3*l, -s = 4*l + 1. Let g(j) = -5*j. Suppose 5*x + 24 = -31. Let u(y) = -y**2 + 24*y + 1. Let h(v) = x*g(v) - 2*u(v). Calculate h(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1530, -13559, -46216, -109815, -214670?\nAnswer: -371095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -285922080 divided by -3176912?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1984 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2777 is divided by 273?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 7*b**2 - 6*b + 52. Let f be g(7). Solve 4*y = 3*y + 4*u + 15, -2*u + f = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8522 = -563*a + 7959 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*f = -10, b + 9*f + 2 = 7*f. Suppose 37 - 17 = b*d. Solve 3 = -5*n + h, -n + d*n + 5*h = -14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**6\/120 + c**4\/24 + c**3\/3 + 61*c**2. Give i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 0, -0.8 in descending order.\nAnswer: 1, 0, -0.8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21152, -21156, -21180, -21236, -21336?\nAnswer: -21492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56.9 - 57. Which is the nearest to 2? (a) 0.2 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4145087, 16580352, 37305787, 66321386, 103627143, 149223052?\n\"Answer: -y**3 + 4145091*y**2 - y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/72)\/(2\/(-9)). Let u = 12 - 1. Let y = 11.1 - u. Which is the second biggest value? (a) n (b) y (c) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 95*n - 927. Give w(34).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/134 and 149\/12.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147199 and 44.\nAnswer: 6476756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 75 = d + 2*d, -5 = 5*o. Calculate the remainder when d is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3.2, -69.6009?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6314 divided by 11.\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12047438 to the nearest integer?\nAnswer: 3471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/(15\/(-55)*(-29)\/(-609)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-102)\/153)\/(((-64)\/6)\/(-1)). Put m, -0.4, 3\/7 in increasing order.\nAnswer: -0.4, m, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22821466 at most 22821466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 19*x - 24*x. Let h be x + (-4)\/(-2) - (0 + -1). Let d(t) = -t**2 - 1. Let j(g) = 9*g**2 - 52 - 7*g**2 - 3*g + 54. Give h*j(k) - 3*d(k).\nAnswer: k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (296\/(-259))\/((-74)\/(-2331))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69336 from 44843.\nAnswer: 114179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 + 0.16. Let k(r) = r**3 - 4*r**2 - 4*r - 6. Let y be k(5). Let l(u) = u + 2. Let p be l(y). What is the closest to p in -0.3, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(352)*1*3)\/(sqrt(32)*-2 + (2*sqrt(128) - sqrt(128)) + sqrt(8)).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18735038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 19*r**2 + 43*r + 29. Let n = -1032 - -1011. Give f(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x**2 - 13*x + 17. Suppose -5*q + 38 = 3. Let l = 13 - q. Let p(y) = -7*y**2 - 6*y + 8. Suppose 2*d + 25 = -1. Give d*p(v) + l*w(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 9550?\nAnswer: 181450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*z = 1087 + 215, 2600 = 4*o - 4*z. Let r = o - 316. What are the prime factors of r?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*b + 45 = 0, 2*b + 27 + 3 = 4*a. Let j be 1 - (9 + -17 + 6). Solve -2*w = y + j, -a = w + 3*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102489\/4 - 25622. Let d = -0.1 - -0.3. Which is the closest to d? (a) 0 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 138*r - 685. Give k(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 1309.\nAnswer: 41888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 319438931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386575282 to the nearest integer?\nAnswer: 19662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*n = 4*x + 115, 2*x - 4*n + 90 = 0. Let w be x - (6\/(-2) - 0). Round w to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3\/4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6740 and -3?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**2 + 1\/12*d**4 + 0 + 2*d - 1\/2*d**3. Determine y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.13 + 1.187. Let g = y + -0.457. What is the second smallest value in -5, g, 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -14. Let f be 7\/5 + (-2)\/t. Let p be (f - -14997) + (-6)\/(-3). What is p rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 6*m - 2. Let o be h(-5). Let g = o + 48. Which is bigger: -2\/33 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5*q**3 - 16 + 9 + 3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + c - 5. Let g be a(-3). Suppose -5*x + 21 + 14 = 0. What is the first derivative of -14*p - x*p + 3 + g*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -4. Let x = -4.5 - j. Suppose -5 - 9 = -7*l. Put l, x, -0.3 in decreasing order.\nAnswer: l, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 132?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 461\/6. Let z be (39 - 0)\/(3\/1). Suppose z*x = 7*x + 24. Which is the nearest to 2\/11? (a) 3 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2021*l - 1619*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25428*l - 3 + 3 - 2 + 2.\nAnswer: 25428*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -4240802?\nAnswer: -4240806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000098988998 rounded to 6 decimal places?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 3*a - 22, 2*a - 92*j + 95*j - 13 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u. Let z be v(4). Suppose -4*k + 18 = -6. Suppose 5*j + 14 = g, 0*j + k = 3*j + 3*g. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 484*2.776.\nAnswer: 1343.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 123010087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*i - 6*b - 18, b = -4*i + 27. Let s be (-5)\/(-45) + (-2)\/(-4)*i. Is 3 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 13.6 (b) 1 (c) -4 (d) 1\/4 (e) 0 (f) -0.336\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031277 is divided by 1237?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-14)*n**(-3\/5))\/(n**(-5\/4))**12)**42 assuming n is positive.\nAnswer: n**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from bvjivvbvvq?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -2 - (160380\/(-1116))\/(-11)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0053 - 0.09146. What is d rounded to 3 decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6594966 to the power of 1\/2, to the nearest integer?\nAnswer: 2568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96237581*h**3 - 34779405*h.\nAnswer: 577425486*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 278*r + 6 + 318*r - 42*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -6*d + 24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2531+1342385\nAnswer: 1339854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 15, x: 3}. What is prob of sequence yx?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*r = 5, -5*l + 5*r = 3*r - 25. Suppose -3*y + a = -30, -l*a = -5*y + 2*a + 40. Calculate the remainder when 28 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54255, 54273, 54291, 54309?\nAnswer: 54327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 1 j when three letters picked without replacement from ajppaaubyaaappu.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -736852.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*2442.416.\nAnswer: 105023.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/131 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 475424 to the power of 1\/2, to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -694 + 697. Let a(h) be the third derivative of 8*h**2 - 1\/138*h**4 + 0*h + 0 - 1\/690*h**5 + 0*h**b. Factor a(c).\nAnswer: -2*c*(c + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 47*d**2 + 6*d. Let s(m) = -142*m**2 - 17*m. Let a be -89 - -91 - (-4 + 7 + -6 - -11). Give a*s(f) - 17*h(f).\nAnswer: 53*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 18 - 24. Solve 3*n = -0*n + f*r - 12, -2*r = -2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12226771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3738*l**3 + 74 + 1846*l**3 + 1900*l**3 - 74.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1515003 + 0.162355. Round z to 4 decimal places.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 431 in 3, 22, -1, 0.1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/35069895 and -26\/935.\nAnswer: 385768845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (-16 - -32 - 9)) + -38?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + 53. List the prime factors of (0 - -3) + w\/8 + 98.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62096933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 19, -2 in decreasing order.\nAnswer: 19, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19 - -3.19. Put -0.2, t, 0.3 in decreasing order.\nAnswer: t, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*(-43 - -1). Let f = -59 + 133. Let s = f + v. Solve -4 = -3*t + s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*r**2 - 143 + 105*r - 59 + 15*r**2 + 12*r**2.\nAnswer: -(r - 2)*(2*r - 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 631386 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7437188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1309380 and 0.023.\nAnswer: 30115.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, 568, 788, 1106, 1528, 2060, 2708, 3478?\nAnswer: 4376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 1 - (-1 - 0). Let o = -101603 + 103127047\/1015. Is o at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146843 is divided by 143.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-192)\/(-18))\/(-8)*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13509508*l**3 - 14327786*l**2.\nAnswer: 81057048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 1, v: 5, o: 2, r: 3}. Give prob of picking 2 v and 2 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*h = -163, 0*h - 132 = -3*n - h. Let d = n - 83. Let k = 49 + d. Calculate the greatest common divisor of 27 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + u + 3)*(3*u + u - 5*u) + (-2*u**2 + 5*u - 5*u)*(1 - 3 + 1).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -3, 3, -1, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 25084386 = 52*g - 20*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*k + 5*h, 2*h - 18 = -5*k - 3. Let v(n) = -k + 3 + 3 - 17*n. Is v(-7) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-18150)\/(-37500) - 2\/4)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360439199136 - 0.5?\nAnswer: 360439199135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 2*o**3)*(0 + 2 - 4) + (-2*o + 3 - 3)*(-3*o - 48 + 48)*(o - 4*o + o) + 3 - 5 + 4*o**3 + 1.\nAnswer: -12*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + -22 + 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260356010*a**2 - 447272*a - 232 wrt a.\nAnswer: 520712020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.3 (b) -1.7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*b = -26, b + 4 = 2*r - 4. Solve 0 = -7*i + r*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.4 + 8. Let z = -4 + 4.4. Let l = x + z. What is the closest to l in -3, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(3\/14))\/o*o**(-14)*o*o*o**(3\/11)*(o\/o**(-6)*o)\/o assuming o is positive.\nAnswer: o**(-607\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -674406 + 3*c + 674406.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/5 + (-2)\/10. Let l be ((-2)\/b)\/((-14)\/(-231)). Suppose -9*s = -14*s + 55. Calculate the highest common factor of s and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0 + 0*s - 1\/24*s**4 - 7*s**2 - 1\/6*s**3 + 2\/15*s**5. Let g = 1 - 2. Give u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -509 + 70615?\nAnswer: 70106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsqs when four letters picked without replacement from suulqqslluslxssrsq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.08 + 49.1. Let z = 37 - d. Which is the second smallest value? (a) 0.1 (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248561 and 606.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 21312*r + 298170. Calculate z(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 10. Let s be f(3). Suppose 0*y - 2 = 2*y. Let z be y - ((-28)\/24)\/s. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -2.8. Let y be (-2)\/(6\/15*-1). Sort y, h, -2 in descending order.\nAnswer: y, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 18)*(4*x**2 - 10*x**2 - 21*x**2 + 0*x**2 + x**2 - 2*x**2 + (0*x - 3*x + 2*x)*(-2*x + 2 - 2) + x**2 - 3*x**2 + 4*x**2).\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 108, -0.4, -5, 0.4, 43, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 = 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -414, 10, 4 in descending order.\nAnswer: 24, 10, 4, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128643 (base 11) to base 4.\nAnswer: 301100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - -14. Let w = 31 - l. Solve -g = -5 - w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-15))**(19\/5)*(c\/c**1)**(-9\/2)*(c\/(c\/(c*c\/c**(-1\/4)))*c)**(-23) assuming c is positive.\nAnswer: c**(-527\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2403 and 1227132?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582176051?\nAnswer: 541, 1076111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4478 (base 9) to base 16.\nAnswer: -cef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2682 - 2622. Let n be (-3 - 0)*(-3 + 1). Calculate the highest common factor of n and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-14)\/4) - 132\/(-28)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 169778657, 339557308, 509335959, 679114610, 848893261, 1018671912?\n\"Answer: 169778651*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71 + 3.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10 - 3*c**2 + c**2 + c**3 - 2*c**2 - 12*c. Let h be d(6). Let r(w) = w + 12. Let z be r(h). Calculate the greatest common divisor of z and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 + -8 + 35 + 13 + -28?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 242114 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -11 - -16) + -16 + (-8 - 38)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 61, -2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 7:34 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*z**2 - 13*z**3 - 15*z**5 + 13*z**3 wrt z?\nAnswer: -900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1761, -4200, -7395, -11346, -16053, -21516, -27735?\nAnswer: -34710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/31, 0.3, 7, 2, -348\/5?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-405))\/((-608)\/(-216)).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l**2 + 1)*(-1 + 2 + 0)*(5*l - 2*l - 4*l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - w**3 + 0*w**3 - 183 + 93.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -12, -0.15, 3\/2 in increasing order.\nAnswer: -12, -0.15, 3\/2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2\/5, -8, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 55*f - 33. Determine t(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1400 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 337c (base 13) in base 10?\nAnswer: 7201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/3, 263, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -18\/7 (b) 4 (c) -3\/6590 (d) -1\/5 (e) -4 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3501 and 4706.8?\nAnswer: -16478506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h*h\/(h*h**18*h)*h*h))**(-26))**(-1\/5))**(-10) assuming h is positive.\nAnswer: h**(-780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 98672 divided by -15\nAnswer: -98672\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -100?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 122790 = 64320. What are the prime factors of d?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 5, u: 14}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10130 from -100709.47.\nAnswer: -90579.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3561 + 49793\/14. Calculate the common denominator of 13\/514 and a.\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c**2 + c**2 + c**2)*(5*c - 5 - 8*c - c) in the form i*c + m*c**3 + o + u*c**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 195.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5286 or -5289?\nAnswer: -5289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h)**(4\/17))**(-13) assuming h is positive.\nAnswer: h**(-104\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 0, -3*m + 240 = 4*o - 7*m. Suppose j - o = -2*j. Suppose 0 = 3*z, 0*z - 60 = -3*s + z. What is the greatest common divisor of s and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110111100 - 0?\nAnswer: 2110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/5 - 3*o + 8568\/5.\nAnswer: -3*(o - 51)*(o + 56)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1761, 2659, 3581, 4521, 5473?\n\"Answer: -i**3 + 18*i**2 + 851*i + 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**5 - 45112*d**4 + 60168*d**3 + 60160*d**2 = 0. What is d?\nAnswer: -7520, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(1 - 2 - 1)*(16*l**3 + 11*l**3 + 61*l**3) as c*l**3 + o*l + n*l**2 + h and give c.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1383301 rounded to four decimal places?\nAnswer: -0.1383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 11576*k**2 + 3*k + 42. Let l(u) = -625105*u**2 - 163*u - 2282. Calculate -163*h(b) - 3*l(b).\nAnswer: -11573*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(2\/(-3)) + 7. Let o be (-6*(3 + (-18)\/h))\/3. Solve j + o*j = 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and 7.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39818 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3219*w**2 + 2. Let c(u) = 30*u**2. Give t(c(k)).\nAnswer: -2897100*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-143)*3\/6\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -17. Let q = i + 8.4. Let f = -0.03 - -0.33. Which is the biggest value? (a) 4\/7 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*x)*(-2854*x - 91*x**3 + 6 + 2854*x) to k*x + b*x**4 + r*x**2 + j*x**3 + u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -803391 + 160891. Round k to the nearest ten thousand.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**5 - 4*t**5 + t**5 + (0*t - 4*t + 2*t)*(-2*t**4 + 0*t**3 + 0*t**3) - 119*t + 12*t**5 + 119*t + (2*t**3 - 2*t**3 - 2*t**3)*(2*t**2 - t**2 - 3*t**2).\nAnswer: 22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 104*a - 3. Let z = -8 + 4. Let m be n(z). Let j = m - -684. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 22*t**4 - 132*t**3 - 90*t**2 + 243*t.\nAnswer: t*(t - 27)*(t - 1)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 1, s: 1, i: 1, x: 1}. What is prob of sequence xlsj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4 + 46*w**3 + 372*w**2 + 1216*w + 1280 = 0.\nAnswer: -8, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2) + -4 + 4. Suppose f + 2*k + 12 = 0, -4*f + 2 = -l*k - 0. Let t be f\/13 - (-155)\/585. What is the nearest to -0.1 in 0.4, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**7\/21 - 2*i**6\/15 + 171*i**5\/5 + 172*i**4\/3 - 341*i**3\/3 - 342*i**2 - 2423*i. Solve p(q) = 0 for q.\nAnswer: -19, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3 + sqrt(7))**2 + -5).\nAnswer: -36*sqrt(7) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10612, 51208, 151778, 342310, 652792?\n\"Answer: 4998*l**3 - l**2 + 5613*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-7 - -5 - -7) - -20) + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -10701.489.\nAnswer: -10697.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - 20*k - 4. Let x(c) = 14*c**2 - 60*c - 11. Let h(n) = 11*i(n) - 4*x(n). Let p be h(9). Calculate the highest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -2*z - g, 2*z - 5*g - 166 = -g. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20189\/3 + -6728. Let v = -0.34 - -0.04. Which is the third biggest value? (a) g (b) v (c) 0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55.9 and 0.5.\nAnswer: -27.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/12 and 63\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/8))**(1\/18)*(x**(-7)\/x*x)\/(x\/(x\/(x\/((x\/x**(-13))\/x)*x)*x)))**48 assuming x is positive.\nAnswer: x**241","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 827\/1040 - -1\/208. What is j in 2\/5 + 2\/5*j**2 + s*j = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/1285 and -8\/1028765?\nAnswer: 264392605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + -2)*-6*-1 - (4*sqrt(55)\/sqrt(5) + -6*(sqrt(11) + -1))) + -2.\nAnswer: -20 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801167.5 months in decades?\nAnswer: 23343.0625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1027 - 9241\/9. Factor 26\/9*r + 0 + o*r**2.\nAnswer: 2*r*(r + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2284 - 2293. Let u(g) = 3*g**2 - 2*g - 1. Let y(b) = -b**3 + 13*b**2 - 9*b - 5. Determine m*u(z) + 2*y(z).\nAnswer: -2*z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (260 - 212 + 641)*(-3*m**2 + 4*m**2 + 0*m**2).\nAnswer: 689*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -9 in decreasing order.\nAnswer: 5, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 211*r + 1234. What is v(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -26*p + 8. Let g(q) = -q. Determine w(g(i)).\nAnswer: 26*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert c371 (base 13) to base 16.\nAnswer: 6953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**4\/5 - 272*y**3 + 16116*y**2 - 74800*y + 294784\/5 = 0.\nAnswer: -392, 1, 4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 - 3*d - 1. Determine n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (14 - 21) - (6 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 508 - 504. Let b be ((-16)\/72)\/((-2)\/12*j). Sort 8\/7, -1, -4, b in decreasing order.\nAnswer: 8\/7, b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 + 4.98. Let p = -15703 + 15699. Suppose -3*r + 14 = 2. Put a, r, p, -3 in decreasing order.\nAnswer: a, r, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1815, -7260, -16341, -29064, -45435, -65460, -89145, -116496?\nAnswer: -147519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjgiggdgggddjgdo. What is prob of sequence ji?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(2*d - d - 3*d)*(-1 + 6 - 1)*(-1 - 3 + 3)*((-7 + 2 + 0)*(3*d - 3*d + d) - 86 + 86 + 27*d).\nAnswer: 352*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -76b5?\nAnswer: 76b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -707572 (base 10) in base 15?\nAnswer: -de9b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and 1.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 8*y**2 + 4*y - 24. Calculate g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102001102011000 (base 3) to base 11.\nAnswer: -3351a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*x**3 - 1508*x**2 - 2*x - 104977 with respect to x.\nAnswer: -15*x**2 - 3016*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*2 + sqrt(2299) + -5.\nAnswer: -5 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 9*n**2 - 10*n + 1. Let k be p(-10). Let r be (7 + -5)\/(k - (-11)\/(-9)). Let v = 25 + r. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1211034 - -42?\nAnswer: -1210442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1 and -16.\nAnswer: -49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:12 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 21. What is the first derivative of 5 + 3 - k*t**2 - 4 wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 5. Let p be x(-3). Factor -3\/5*v**p - 3\/5*v - 1\/5 - 1\/5*v**3.\nAnswer: -(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104454 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - j - 195 + 186 + 4 - 4 - 2*j + (2 - 1 - 2)*(j + 5 - 5).\nAnswer: -2*j - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, -92, 89, 27 in increasing order.\nAnswer: -92, 0, 10, 27, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udcdacdjdcddaccjcdac. What is prob of picking 2 c, 1 u, and 1 d?\nAnswer: 49\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 16*b + 293 = 0, 0 = -113*b + 112*b - 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 13*g - 11. Let z be y(14). Suppose r - 4 = -s, z*r = -5*s - 0*s + 20. What is the first derivative of 0*k**3 + r*k**3 - 2*k**4 - 1 - 3 wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 240\/((-408)\/(-34))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144405*v + 144138*v - 288867*v.\nAnswer: -324*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3\/6 + 1109*a**2\/4 - 1111*a - 8215. Suppose n(q) = 0. Calculate q.\nAnswer: -1111, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 10. Suppose h = -d*h + 15. Solve -3*k + 4*j - 6 = 2*k, h*k + 4*j - 26 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9864 - -48883\/5. Let x = -88 - z. Let i = 0.052 - 0.052. Which is the smallest value? (a) -7 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*o = -3*f + 78, 5*o + 20 = 0. Suppose 4*r + f = r. Let g be r\/(-52)*12\/9. Which is smaller: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/85885107 and -83\/31230948.\nAnswer: 343540428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-77))\/((-1935)\/70).\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 + 18*f**2 - 15*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 117370424.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-472)\/1534 - (-524)\/1534.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1960 or 155?\nAnswer: -1960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 36 = -275*x + 280*x + 28, -4*x - 5*m + 193 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*r + 11*r + 1050. Suppose 94 = 3*p - y, 2*p - 2*y - 40 = -7*y. What is the greatest common factor of p and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 23 = 5*j. Suppose -m - 3*o = -j*m + 61, -2*m + 28 = -4*o. Suppose s = 52 - 6. Calculate the remainder when s is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17415 is divided by 365?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 1. Let q(u) = 9*u**2 - 5*u - 5. Give q(g) + 5*w(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 74, 0, -1\/2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.9 (b) -3 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ete when three letters picked without replacement from {v: 1, z: 2, r: 1, e: 6, t: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10889, -10881, -10873, -10865, -10857?\nAnswer: -10849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*180\/(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34 + -10 + 16 + -4 + -10\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16081192 divided by -4020298.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 102*c**2 + 28*c + 26. Calculate j(-2).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-3)*80\/3. Suppose -3*r + a = 4*s - 5*r, -36 = -2*s - r. Let w(h) = -h**2 + h + 76. Let d be w(0). What is the greatest common divisor of s and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.81 - -8.99. Let k = -76 + i. Let s = 0.01 + 0. What is the closest to -2 in s, 1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*2*(-4)\/32?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 4*d. Suppose 0 = 3*r - 0*r + o - 30, d = 5*r + o - 50. Suppose 11*t - r = 9*t. Solve -g - 3 = -k, 0 = -t*g + 5*k - 2*k - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, a: 4, s: 3, q: 4}. What is prob of picking 2 y?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 - (1 - (-3 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 10*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 66. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -10. Suppose -c - 3*t - t = -29, 5*t - 25 = g. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 92*g. Let x = 837 + -272. Let c(r) = x*r - r**2 - 565*r. What is c(f(o))?\nAnswer: -8464*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.688958 to zero decimal places.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 - 0.86. Sort i, -0.06, 1\/5 in increasing order.\nAnswer: i, -0.06, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-21) - (-1514)\/56)*-4. Let n = w + 224. Is 4 a factor of 3*4\/(-48) + n\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b. Let v be n(-2). Let r(l) = -l - 7. Let o(y) be the third derivative of y**2 + 1\/6*y**3 + 0 + 0*y. What is v*o(s) + r(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a - 652 = -683 - 1326 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 1, z: 1, i: 2, o: 1}. Give prob of sequence id.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*u - 3. Let f = 32 + -35.3. Let s = 3 + f. What is the biggest value in u, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 60*c**2 + c + 2. What is the hundreds digit of l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147277267*m**2 - 28506433 wrt m.\nAnswer: -294554534*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 35. Suppose 2*j = o + 88. Suppose -w + 56 = 2*a - j, -5*a + 260 = -5*w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -630125.132 rounded to the nearest ten thousand?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 12 + 2*j**2 - 4 + j - 5*j. Is a(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -31. Let a = 0.38 + -0.08. What is the closest to v in 5\/4, -2\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/5 (b) -2\/7 (c) -123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550*z + 554*z - 20 = 0. Suppose -53 = -4*a - 5. What is the remainder when a is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*h**2 + 6*h**4 + 25*h**2 + (3*h**4 - 4*h**4 + 2*h**4)*(-4 - 1 + 9).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y + 3. Let d be (y\/7)\/(6\/(-42)). What is the units digit of d + 20 + 0 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -846*b**2*g**4*l - 7*b**2*g + b**2*l**2 - 14*b**2*l - b*g**4*l**2 + g**2*l**2 wrt g.\nAnswer: -20304*b**2*g*l - 24*b*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 365796\/7 + -52464. Let g = s + 207. Let p = -0.2 - -0.6. What is the closest to -0.1 in 0.3, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21306298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12))\/(2\/(-6)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -p + 20, -613 - 137 = -68*c - p + 2*p for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -55, -84, -81, -34, 69?\n\"Answer: 2*j**3 + 4*j**2 - 55*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, e: 7}. What is prob of picking 3 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*c - 234*c + 74*c + 85*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-2*5 + sqrt(12))\/(sqrt(144) + (sqrt(144) - (sqrt(144) - sqrt(144)*2))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.2 and -34.\nAnswer: 142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(-6)*l**8*l**0\/(l*l**(-2)) assuming l is positive.\nAnswer: l**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3 - 115*s**2 - 11741*s + 243904 = 0 for s.\nAnswer: -64, 37\/2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/((-1)\/(-46)). Let w = v + -27. Suppose -10 = 2*b - 0, y = 2*b + w. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 22, 64, 142, 262, 430, 652?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 65*k**2 + 69*k - 316. Give w(64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2194 - -2211. Let t(c) be the first derivative of 1\/3*c**3 + f + c**2 + c. Let t(n) = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10614 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -27, 6, 3 in descending order.\nAnswer: 6, 3, 1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04 minus 0.071?\nAnswer: 0.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 45 = 3*p, 4*c - 15 - 63 = 5*p. Calculate the smallest common multiple of p*(-2)\/(-8)*(-1 - 1) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 32*w + 165. Let v be y(-27). What is the greatest common divisor of 35 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33036.\nAnswer: 2, 3, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 94232 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 2:54 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 220200110 (base 3) to base 16\nAnswer: 464a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(114)*3*-1*1)\/((sqrt(216) + sqrt(216)*1)*4)*-3.\nAnswer: 15*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 39 - 1 - -33?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rorrrrrrrrrrr. What is prob of picking 1 r and 1 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1547 divided by 64448?\nAnswer: -1547\/64448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*k - 25, -3*k - 3 = -12. Let n(j) = 3*j + 23. Let a be n(0). Suppose 3*c + 5*r - a = -0*c, -3*c = r - x. Solve c*z = 2*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z + 5 = 0, -439 = q + z. Is (q - 2)*8\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -0.029 (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*37091.\nAnswer: 148364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26090 - 5 - 2) + 4)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258363000 rounded to the nearest 1000000?\nAnswer: 258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 781.9663cm in micrometers?\nAnswer: 7819663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (0 - 3) - 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, -18, -1\/6, 1\/2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 156*t**2 - 4*t**3 + 2*t + 162*t**2)*(-t - t + t).\nAnswer: t**4 - 6*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 26 + -6 + 7\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9778*b - 4247.\nAnswer: -9778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (17 - 5) - (0 + 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 11*p**2 - 9*p + 27. Let m(f) = -f**3 - 10*f**2 + 10*f - 26. Let d(v) = 5*m(v) + 6*r(v). Is d(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -366\/7, -11, -108\/11?\nAnswer: -366\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b. Let n(i) = -442*i. What is d(n(x))?\nAnswer: 195364*x**2 + 442*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 - 18*l**3 + 14*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -685.\nAnswer: -684.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1901 is divided by ((-3)\/((-594)\/(-88)))\/(6\/(-135)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2957.\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 27 = 83 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*f - 156, 0*z - 4*f - 444 = 3*z. Let h = z + 244. Suppose 5*p - h = -5. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3561 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 383 + -747. Let r = 363.235 + s. Let w = 0.8 + r. What is w rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {z: 1, j: 1, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 - 2*v**2\/3 + v\/3.\nAnswer: v*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3967 divide 291645906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122811 is divided by 2954?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/4 + 145*s**4\/4 - 1009*s**3 + 9793*s**2 - 30772*s + 21952 = 0.\nAnswer: 1, 4, 14, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/6 - a**3\/2 + 3*a**2\/2 - a. Is r(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3178454101917 - 0.\nAnswer: 3178454101917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/17, -13407, -2\/7, 3 in descending order.\nAnswer: 3, 2\/17, -2\/7, -5, -13407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -31*x - 991. Calculate i(-32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*m = 2*m + 2, 0 = -3*w + 5*m - 10. Suppose 4*k = 4*x + 22 + 2, 4*k + 2*x = w. What is the first derivative of k - 4 + 0 - 3 - 4*a**4 wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 8*g**2 - 6*g - 6. Let x be v(-4). Suppose 2947 - 8383 = -x*a. What are the prime factors of a?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 0*l**2 + 56 - 54 - 48*l - 2*l**2 to y*l**2 + k + n*l and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 30*u + 29. Let d be t(-29). Let b(l) = 12 + 65 - l - 2*l**2 + 5. Is b(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + j + 5 = 4*n, 0 = 4*n - 5*j + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/13410 and -11\/52299.\nAnswer: 522990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/21*(4 - -3). Suppose -140 = -u*g + 136. What is the highest common factor of g and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*m + 34*m + 14*m**2)*(3*m**2 - 2*m**2 - 2*m**2)*(33*m + 54*m + 37*m).\nAnswer: -1736*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 7*c**2 - 14*c + 36. Let x be l(5). Let u be 10\/(-45) + x\/(-36). What is the closest to u in -1\/3, -2, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2763.035154 + -2763. Let l = 39.028954 - y. Let g = l - 39. What is g rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6907.\nAnswer: 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, -4, -17, 2\/11?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5304 and 84913062?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/20*(-13480)\/(-1348)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 7*n**5\/60 + n**4\/12 - 5*n**2\/2 + 2*n - 114. Let v(x) be the second derivative of o(x). Factor v(w).\nAnswer: w*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -27, -4, 103, 18 in increasing order.\nAnswer: -27, -4, -3, 18, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 + i + 5. What is the tens digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(208)\/(sqrt(324) + (sqrt(324) - -2*sqrt(324)) + sqrt(324) - sqrt(324)))\/((-1*sqrt(112))\/sqrt(7)))*-6.\nAnswer: -18 + sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40866 + 1927.716?\nAnswer: -38938.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*r**6 - 11*r**4 - 3175*r**2 wrt r?\nAnswer: -2160*r**3 - 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - l**2 - l**2)*(3 - 2 - 2)*(-2*l + 3*l + 3*l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/14 and 145\/225144.\nAnswer: 1576008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhy when three letters picked without replacement from yhhhy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r. Let l(v) be the third derivative of -71*v**5\/60 + v**4\/24 + 275*v**2 + 2*v. Determine q(l(b)).\nAnswer: -142*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6230, 6235, 6254, 6293, 6358?\nAnswer: 6455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23042 and 40.\nAnswer: 460840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/21 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w + 3*w**2 - 8*w**2 + 0*w. Let v(i) = -9*i**2 - 7*i. Let r be 1*12*5\/10. Let t(h) = -h + 2. Let s be t(r). Give s*v(j) + 7*o(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, 3.86 in ascending order.\nAnswer: -0.1, 3.86, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*8\/((-352)\/4).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 222203 (base 4) to base 12\nAnswer: 16ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 18816 = -3*u. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 170652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 7*s + 12. Let j be z(7). Let i = 12 - j. Let x be (8 + i)\/(2 + 0). Solve k = -3*k - x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 2. Let j be b(-2). Let l = j + -15. Let x = -4 - l. Solve -5*t = 4 + x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -6)\/((-216)\/58). Let x = -60 - -1619\/27. Let j = x + o. Which is the nearest to 1? (a) j (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 10:13 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823*o**3 - 810*o**3 + 2507*o**3.\nAnswer: 3520*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 85869 = 12*l. List the prime factors of l.\nAnswer: 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 + 1 = 5*y, 4 = 2*h + 5*y. Let a(v) = v**3 - 5*v**h + 0*v**3 + 6*v - 1 - 4. List the prime factors of a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 350356 - -10?\nAnswer: 350366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*h - 73*h + 7 = 0. Let l(j) = -j**3 + 6*j**2 + 7*j - 9. Determine l(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(55)\/(sqrt(10)\/sqrt(2) + sqrt(5))) + 1 + -2*sqrt(720) + sqrt(720))*6.\nAnswer: -60*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1924723 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12 + 20798*12\/(288\/60).\nAnswer: 131, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:12 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26\/67 in -1, -0.8, 1\/4, -1\/6, 5\/2, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1612*t. Let k(i) = i. Calculate k(c(h)).\nAnswer: 1612*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 1207?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 13*u = 6*m - 5*m - 60, -38 = m - 5*u + 10 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960 (base 11) in base 12?\nAnswer: 2b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 (base 9) in base 14?\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2009 - 1097. Does 76 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2442441?\nAnswer: 3, 17, 83, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 4*t**2 - 3*t + 7. Let h be m(3). Suppose -3915 + 331 = -h*b. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + u - 7 = -0*u, 25 = -5*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 17. Let x = 5 + -5. Let s = x + d. Which is the smallest value? (a) 4 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzgk when four letters picked without replacement from {p: 2, k: 1, g: 3, z: 13}.\nAnswer: 13\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/54702 and -113\/18.\nAnswer: 54702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 13. Let l(v) = 69*v**3 + v**2 - v + 1. Calculate the remainder when l(1) is divided by b\/((-70)\/4)*-45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11194894 and -2?\nAnswer: 11194892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -8*f. Suppose 10*x - 10 - 23*x + 15*x**3 - 10*x**f - 22*x = 0. What is x?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 191 and 0.8851.\nAnswer: 169.0541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**(1\/32)))\/v*v**(-2\/49)\/v*v*v**(-17)*v*v*v**(3\/8)\/v assuming v is positive.\nAnswer: v**(-27749\/1568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 47.32533km?\nAnswer: 47325330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 434*f**3 - 208*f**3 + 39*f**2 - 4 - 223*f**3 as y*f + g*f**2 + h*f**3 + q and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12391548 to the nearest integer?\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72150 = 2*p - 2*f - 41888, 2*p + f - 114050 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 - 2*j**2 - 4*j. Let v(g) = 11*g**3 - 5*g**2 - 9*g - 1. Give 2*v(u) - 5*w(u).\nAnswer: -3*u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 12*x**2 - 11*x - 21. Let y be z(13). Suppose 6*b + y = 7*b. Let l = -27\/28 + 5\/7. What is the closest to 3\/7 in 3\/4, l, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 3102946.\nAnswer: 12411784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o + 36. Suppose 90 = 2*m + m. What is the lowest common multiple of m and j(0)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y**2 - 10*y + 2. Let b(s) = -7*s**2 + 7*s - 1. Let c(u) = 7*b(u) + 5*t(u). Let q be c(4). Solve -4*f + q - 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. Let a be -1 + (4 - (2 + x)). What is the third biggest value in 6\/5, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.72 smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/2*(2 + -1). Let g = -1 - -4. Suppose -g*s - s = 8. Is t bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69600.99 meters to centimeters.\nAnswer: 6960099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -5*a - 15*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-8)\/20*-10. Is 56 + (-1)\/((-4)\/a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*s = -21142 + 22528 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430289 is divided by 176.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 968 = 3*w + 1051, 4*a = -w - 33 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2484\/(-414))\/((-6)\/10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/13, 3.04, -0.1?\nAnswer: 3.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 3*x**2 + x**3 - 788665 + x + 788666. Let z = -3 + 5. Let c be h(z). Let f(i) = 1. Let a(t) = -2*t**2 - 8. Determine c*a(o) + 8*f(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4927 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38369 + -11839. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827 < 7305\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174 + 66. Let k = 93 + g. Is (-158)\/3*k + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12)*(8\/(-16))\/(3\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18899261 is divided by 1314.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 227*b. Let z(d) = -303*d - 23. Calculate f(z(q)).\nAnswer: -68781*q - 5221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + (-61 - (-1 - 50)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/3)\/(468\/234)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b**2 - b - 1. Let m be v(-1). Let u be 2\/6 - (-235)\/15. Let o(n) = -u + m - n - 1. What is o(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - w + 14. Let i be (-2 - (-2 + 2))*(-3 - -2). Suppose -3*u + 10 = f - 19, 0 = i*u + 5*f - 41. Is 20 a factor of h(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.258998cm?\nAnswer: 62589.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**2\/2 - 265. Let s(n) = -26*n**2 + 1. Let y(u) = -25*u**2 + 1. Let j(k) = 6*s(k) - 5*y(k). What is j(v(d))?\nAnswer: -31*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/2676139?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82892242 to the nearest integer?\nAnswer: 9105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, v: 1, a: 7, q: 5, s: 2, y: 1}. What is prob of sequence sb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x**2\/3 - 15308*x\/3 - 928 = 0 for x.\nAnswer: -2\/11, 696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 19144*j**2 + 432484*j - 27206256.\nAnswer: 4*(j - 28)*(j + 51)*(j + 4763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2812*a**3*s**2 + 2*a**3*s + 3*a**2*s**2 + 6*a**2*s - 43*a*s - 143*a - 10*s**2 - 3 wrt s?\nAnswer: 5624*a**3 + 6*a**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 24.85 in decreasing order.\nAnswer: 24.85, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-385))\/((-69)\/253). Let k = -5\/41 + -37\/369. Which is the closest to -2\/5? (a) p (b) 3 (c) -0.2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 3:07 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - 2.06. Let b = 2.01 + g. Let n = b - 0.21. What is the second biggest value in n, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1191 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.91974 - -1156667?\nAnswer: 1156668.91974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 73, 308, 697, 1240, 1937, 2788?\n\"Answer: 77*q**2 + 4*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67087 = 2476*q - 909*q - 648*q for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -920689588, -920689577, -920689554, -920689513, -920689448, -920689353, -920689222, -920689049?\nAnswer: -920688828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1.2. Let j be 1\/10*2492\/(-18). Let q = -67\/5 - j. Put 0.3, v, q in descending order.\nAnswer: q, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9218578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11018 - 165181\/15. Let r = -19\/3 + u. Let c(i) = -i**2 + 2*i + 4. Let t be c(4). Sort r, 4, 2, t in descending order.\nAnswer: 4, 2, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let a(c) = -5*c - n + 1. What are the prime factors of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 2*w**2 + w. Let b(j) = -3*j**2 - 4*j + 2*j**3 + 5*j - 2 + 2. Let t(n) = -5*a(n) + 3*b(n). Factor t(c).\nAnswer: c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282*t + 282*t + 14*t**3)*(3*t - 3 - 5*t + 2).\nAnswer: -28*t**4 - 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-13 - -3) + (-8 - (-2 + -3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*u**4 - u**4 + 2*u**4 + (-3*u**2 + 3*u**3 + 3*u**2)*(-2*u + 4*u - 4*u) + u**4 + 4*u**2 - 5*u**3 + 2*u**3 + u**3.\nAnswer: -17*u**4 - 2*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 34*c + 56*c - 13 - 16*c. Let g be j(2). Calculate the highest common factor of 18 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - 5 + 4 - 21 - 4*t.\nAnswer: 2*t - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**4 - 214724*m**3 - 2141814*m wrt m.\nAnswer: 36*m**2 - 1288344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + 6 - (2 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Suppose -h*b + 2 = -o - 4, 0 = 5*o - 10. Let n = b + 21. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 c when four letters picked without replacement from {n: 3, c: 3, j: 2}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22231045 and 3.\nAnswer: 66693135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let w(u) be the third derivative of 0*u - 11*u**2 - 5\/24*u**4 + 0 + 0*u**3. Give w(b(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37821921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5828 + 2781. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 9. Let g(l) = 26*l - 369. Let q be g(14). Let p be 5\/(-75)*q*15. Give x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0 + 6*o - 1 + 5 + o**2 - 2. What is m(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -26.1, -3, 2\/15, -78?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244494 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-197)\/36 + 15\/(-12) and -73\/58?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*j**2*l - j**2*m + j**2 - 2*j*l**2 + l**2*m**2 - 8*l**2*m wrt m.\nAnswer: -j**2 + 2*l**2*m - 8*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-2*sqrt(144)).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.42135ml in litres?\nAnswer: 0.09742135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -247076, -494027, -740978, -987929, -1234880, -1481831?\n\"Answer: -246951*t - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 226 - 242 - (-4 + -47 - 2)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40293120+-206\nAnswer: 40292914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0 + 13\/6*o**3 - 13\/60*o**5 + 0*o - 18*o**2 + 0*o**4. Differentiate y(j) with respect to j.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-3)\/p)\/p))\/p*p**7*(p\/(p*p**(-1)\/p))**17)**2 assuming p is positive.\nAnswer: p**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 17*i**2 + 2*i + 25. Let c(n) = -4*n + n - 75 + n**3 + 3*n**3 - 3*n - 50*n**2. Let z(k) = -2*c(k) - 7*p(k). Is z(-19) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.59 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12121020 (base 4) to base 15.\nAnswer: -7b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x + 75. Suppose 75 - x = -15*g. Let a be (6\/g)\/((-1)\/2) - 3. Solve a = 4*c + 17 + 3, -4*q - 30 = 2*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 8279.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -31*t**3 - 2*t**2 + 1. Give p(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67.799434 + -67.8. Round w to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 2\/4455, -2 in decreasing order.\nAnswer: 58, 2\/4455, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1809604 (base 10) in base 6?\nAnswer: -102441444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 157, 670, 1503, 2638, 4057, 5742, 7675, 9838?\n\"Answer: -3*b**3 + 178*b**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5597, 10965, 16333, 21701, 27069?\nAnswer: 32437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 23*o**3 - 38*o**2 - 441*o + 12. Let a(i) = 6*i**3 + i**2 + 3. Let j(z) = -8*a(z) + 2*u(z). Solve j(q) = 0 for q.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from sssussusosoosussssos.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j - 912 = 0. What is the greatest common factor of 38 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 3*p**2 + 455 - 48*p + 3*p**2 - 511. Differentiate f(i) with respect to i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 19*n**7\/70 - n**5\/20 - 143*n**4\/8 - 2*n**2 + 18. What is the second derivative of o(t) wrt t?\nAnswer: 684*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843933 is divided by 32458.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60340 and 127620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6771414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -140, -137, -134, -131, -128?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -44916\/47 at least as big as -955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*d - 2\/7*d**4 + 236\/7*d**3 - 464\/7*d**2.\nAnswer: -2*d**2*(d - 116)*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71421 is divided by 71175.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -44.92 * 0.13\nAnswer: -5.8396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645977 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 14*f - 42. Let q be w(-9). Solve 0*n - q*n + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131533 (base 8) to base 9.\nAnswer: -68876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 55401028?\nAnswer: 1\/55401028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffguffgguf. Give prob of sequence uugf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-90)\/120)\/(0 - -3). Let w = 248.2 - 248. Which is the second smallest value? (a) w (b) p (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6\/12)*-204*16\/(-48)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*d**2 + 8443*b**2*d + 9*b*d**2 + b wrt d?\nAnswer: 2*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 21 = -73. Differentiate i*t - 11*t - 18 + 9*t + 5*t with respect to t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 7*z + 0 + 5\/12*z**4 + 1\/20*z**5 - 7\/2*z**2 - 1\/2*z**3. What is the smallest common multiple of w(-5) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3170.5 + -3488?\nAnswer: -6658.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-105))\/((-14)\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462 + 7*j - 1393 + 465 + 466.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d - 37*d**3 + 3185 - 3183 + 230*d**3 as b*d**3 + s*d + h*d**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 68.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423 - -4?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 5*i + 7. Let o be -2*(-3)\/(-6)*-2. Suppose 0 = -o*h + 3*h - 6. Is k(h) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*u - 25, 46 = 7*p - 2*p - 2*u. Let d be ((-12)\/7)\/(p\/140). What is the units digit of 2 - (3 + d - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z - 59*z + 29*z.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-8\/11)*a*a)\/a**11 assuming a is positive.\nAnswer: a**(-85\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.756 and 24811.\nAnswer: 24809.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1504364 + -1003?\nAnswer: -1505400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247155 + 456054 + 653945 = 218*l. Is l a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7407706cm?\nAnswer: 7407706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37242557141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**3 - 110*r**2 - 190*r - 188. Give g(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 - 29. Suppose -2*n - 5*b = -0*n - 28, -5*b = 3*n - 32. Suppose 0*c - 5*r + m = 5*c, n*c = 2*r + 152. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 280 = 3*k, i = -i - 4*k + 150. Let q = 233 + i. Is q a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d**4 - 372*d**3 - 1168*d**2 - 1072*d - 304 = 0. Calculate d.\nAnswer: -38, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 29507.\nAnswer: 147535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (15802\/6)\/(18\/54) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 + 277*f - 1350. Let u(t) = -12*t**2 + 834*t - 4052. Let n(o) = 14*j(o) - 5*u(o). Let n(c) = 0. Calculate c.\nAnswer: 5, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450 by -6.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240570 and 7128?\nAnswer: 962280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -27*d**2 + 3*d + 153. Let h(r) = 17*r**2 - 2*r - 102. Give -8*h(v) - 5*q(v).\nAnswer: -v**2 + v + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 437*q**2 - 562*q**2 - 2*q**3 + 219*q**2 + 349*q**2 + 599*q**2 as f*q + j + w*q**3 + u*q**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5221.8 to the nearest ten.\nAnswer: -5220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -58 times -1.7\nAnswer: 98.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7. Let u be (4 + -1)*4\/(-582). Let n = -115\/873 - u. Which is the second biggest value? (a) n (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -34*y - 12. Determine q(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*u - 3*u**3 - 7*u**3 + u**2 + 14*u**2 + 8*u**3 - 38*u**2 in the form r*u + z + h*u**3 + c*u**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -273\/257 - -100695\/3341. Let o = x - 1965\/26. Let h = -3251\/74 - 21\/37. Calculate the common denominator of h and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 44, 41, 38, 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**4 + 5*c**4 - 4*c**4 + (7*c + 1 - 5 + 1)*(4*c**3 - 5*c**3 - c**3) to the form g*c**4 + m*c**3 + u*c**2 + n*c + h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1480, 2959, 4438, 5917, 7396?\n\"Answer: 1479*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23866689, -23866681, -23866673, -23866665, -23866657?\nAnswer: -23866649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/4 - 433*v**2\/2 - 47088*v - 93312 = 0. Calculate v.\nAnswer: -432, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0 + 0*w**3 + 0*w**4 - 6*w**2 + 1\/780*w**6 + 0*w + 1\/195*w**5. Let c(g) = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298679.6 rounded to the nearest ten thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8921, -8904, -8883, -8864, -8853?\nAnswer: -8856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-192)\/60*(-10)\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5 + 39070*s**4 + 101751300*s**3 + 88286185250*s**2 - 88387975625*s.\nAnswer: 5*s*(s - 1)*(s + 2605)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/53 + 41\/318. What is the nearest to -0.072 in -0.1, 5, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/3, 632, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, -1376, -3939, -8754, -16571, -28140, -44211, -65534?\nAnswer: -92859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 1:13 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 703*s**4\/24 + 124*s**3\/3 - 4*s**2 + 148*s. Differentiate x(q) with respect to q.\nAnswer: 703","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54 and -0.0686 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 36*k + 2. Suppose -18*z + 13*z + 5 = 0. Let g be u(z). Calculate the highest common divisor of g and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -477 (b) 10 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000063421 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 131\/((6\/(-18))\/(1\/(-3))). Suppose -2*c + 3*b + 40 = -27, 4*c - 5*b - h = 0. Calculate the common denominator of 3\/(-11) + (1 - 1) and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.3, -5, 0.08 in ascending order.\nAnswer: -5, -0.3, 0.08, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 8 = -x, -9*x = -1580*j + 1578*j - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -20*d**3 - 2*d**2 + 8*d + 8. Let r(w) = 14*w**3 + w**2 - 5 - 5*w + 0*w**3 - w**3. Determine -5*j(h) - 8*r(h).\nAnswer: -4*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*t - 32*t + 34*t - 429 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 v when three letters picked without replacement from inniiffiinivf.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.94 + 7. Let d = -419959.9399961 + 419960. Let q = i - d. Round q to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645047, 645043, 645037, 645029, 645019, 645007?\nAnswer: 644993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -73 (b) 4 (c) -1735 (d) -1\/2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73263, -146350, -219429, -292500, -365563?\n\"Answer: 4*i**2 - 73099*i - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 280.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 302044440 + 3?\nAnswer: 302044443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -0.3, 2.1, 9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n = 5*r - 103, -5*n - 74 = -4*r. Let g(x) = 906 - 3*x - 904 - r*x. Let k(j) = -j**2. Give k(g(b)).\nAnswer: -576*b**2 + 96*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-5*x - 10 + 10 - 13*x - 42 + 42 + (-x - 4*x + 4*x)*(1 + 0 + 0) + 5*x - x - 2*x)*(2 + 0 - 3).\nAnswer: 34*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/102039*113*(-6)\/4*16\/3?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -10. Let r(c) = 3*c**2 + 4*c + 4. Let y(b) = 8*b**2 + 11*b + 11. Give d*y(u) + 11*r(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 9*c + 2. Let m be v(-9). Suppose -6*q + q + 17 = -m*x, -q + 4*x = -7. Solve 0 = q*d + 7 + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76232061.\nAnswer: 3, 71, 119299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-1793188)\/634708)*8\/16. Let s be (-6896)\/(-6899) + 3 + -4. Let i = h - s. Find the common denominator of -19\/11 and i.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6228*r - 6277*r = -2496599. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5865300 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**4 + 3*f**2 + 40*f. Let a(c) = 3*c. Let n(l) = -19*l. Let j(h) = 39*a(h) + 6*n(h). Calculate j(s(u)).\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 6, -0.15, -8.\nAnswer: -8, -0.15, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907415163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 1. Let t be f(0). Let m = 0.16 + -0.25. Let u = 3.91 - m. Which is the smallest value? (a) t (b) 1\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-6)*-4*(-2562)\/3416?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -362 + 705. Let w = r - 335. What is the greatest common divisor of w and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d + 0)*(-3 + 3 - 4*d**4) + 53*d**5 - 39*d**5 - 96*d**5.\nAnswer: -86*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:15 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -82*o - 389. Calculate the smallest common multiple of b(-5) and 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 7360134?\nAnswer: 73601340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/u)\/u*u*u**(-5)*u*(u**0\/u)**46)\/((u*u**1)**(-2\/7)*u**0*(u*u**(-1)*u)\/u) assuming u is positive.\nAnswer: u**(-346\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 921, 1275, 1567, 1791?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 322526.\nAnswer: -967578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25711 + -25714. Which is the second smallest value? (a) 3\/2 (b) -1\/6 (c) 9 (d) -1 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w + 45. Let n be f(-19). Is -11 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) -6\/17 (b) 3 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3017647?\nAnswer: 127, 23761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -232*f. Let o(i) = -73*i. Determine o(a(n)).\nAnswer: 16936*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 3*v + 21. Let j be o(3). Let z(g) = g**3 + 7*g**2 - g - 3. Let r be z(-7). Is j less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4059 and 16236.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2 - 25\/20) + (-10)\/176*-50?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1925429 and 34\/121.\nAnswer: 21179719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 68 = s - 27, -2*s - o = -190. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -17*w. Suppose w = -2*c - 49 + 215. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/13, -0.1, -0.3.\nAnswer: -0.3, -2\/13, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgaxm. Give prob of sequence mmxa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -25. Let p = z - 3. Calculate the smallest common multiple of 6\/(-15) - (-94)\/10 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(8\/(-6) - -1). Let t be -1*(i - -1)\/2. Which is the second smallest value? (a) 5 (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3005 is divided by 1479.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 9978.\nAnswer: -1\/4989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 + 4?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**(-9\/5)*(s*s**3)\/(s\/(s**(-6)\/s)) assuming s is positive.\nAnswer: s**(-122\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -406 - -392. Let j = g - -638. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1095965, -1095951, -1095921, -1095869, -1095789, -1095675, -1095521, -1095321?\n\"Answer: q**3 + 2*q**2 + q - 1095969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93698717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563547 + 563547 + 244*f.\nAnswer: 244*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 855*i + 13. Suppose 88 + 112 = 20*x. Is s(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 40610, 1380, -4 in increasing order.\nAnswer: -4, 0, 1380, 40610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-25))\/(6\/5). Which is the third biggest value? (a) p (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1685\/18 - 18115\/198. Suppose -6*b - 363 = -1575. What is the common denominator of j and b*4\/(-144) - 1\/(-3)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f)\/f**(-5\/6)*((f\/(f*f**1*f))\/f)**(-5\/19)*(f**(-2\/7))**(-8\/3)\/((f**(-5)\/f)\/f*f**2) assuming f is positive.\nAnswer: f**(1903\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(z + 2*z - z) + 3*z + z - 3*z + 2*z + 2 - 2 + (-3 + 4 + 3)*((0*z + 3*z - z)*(-6 + 4 + 3) - z + 4*z - z - 8*z + 3 - 3).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 5)*(-3*j**2 - 2*j**2 + 3*j**2) + 2*j - j**2 - 2*j + 2*j**2 - 3*j + 3*j + 60 - 60 - 31*j**2 as a + t*j**2 + k*j and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*f + 2 - 4*f**2 + 24*f**2 - 2*f**3 - 11*f**2 - 9*f**2 in the form b + s*f + m*f**3 + r*f**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 0 (c) 1 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + -66907632251762.\nAnswer: -66907632251761.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1175996*f**2. Let j(b) = -2*b**2. Calculate j(l(c)).\nAnswer: -2765933184032*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) + sqrt(24) + sqrt(2400))*-5)\/(5*sqrt(60)\/sqrt(5)))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 89*v + 3959. Let s be (-806)\/(-4) + 1\/(-2). Suppose -5*j - 26 + s = 0. Calculate the remainder when l(-43) is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030643 rounded to seven dps?\nAnswer: 0.0000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000 + -101?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -213654 or -213643?\nAnswer: -213643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 87831, -1, 0.42.\nAnswer: -2, -1, 0.42, 87831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 34, 0.11, -3, -4.8, 1\/8, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -3603383?\nAnswer: 3603382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -523 + 368. Let q = 154.99999866 + z. Round q to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 6:15 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*(-3)\/(-30)*-4.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 196 in ascending order.\nAnswer: -16, -4, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 16*n + 123. What is the remainder when x(-8) is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 3993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 23*k - 16. Let v be i(12). Let l(m) = -6*m**3 + 7*m**2 + 20*m + 8. What are the prime factors of l(v)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 25. Solve -q - 4 = n*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.05 (b) -2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z**(1\/3)\/z)\/z)**(26\/9))**(-4\/7) assuming z is positive.\nAnswer: z**(-104\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -425 * 1926.5.\nAnswer: -818762.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(-1*(sqrt(3) + sqrt(12) + sqrt(3)) + sqrt(3)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let g(m) = 1 - 1 - m**2 - 6*m**2 + 17*m**2. Determine y(g(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or -12311?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3270)\/(-156) - (-22 - -43).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 4400?\nAnswer: -4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(35)\/sqrt(5)*-6)**2 + 1.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 0*m**2 + 3*m**2 - m**2 to k + x*m**2 + i*m and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*((x*x**(-1\/3))\/x)\/x)\/x)\/(x\/(x**(-1\/3)\/x)*x)*((x*(x*x**(-1))\/x*x)\/x)**41 assuming x is positive.\nAnswer: x**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 228 = -7*m. Suppose 356 - m = p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -113 + 601?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -40797*t - 285289. What is d(-7)?\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microsecond in nanoseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/18)*j*j\/j**16*j**(-44)\/j**(1\/11) assuming j is positive.\nAnswer: j**(-11513\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -22. Suppose 3*a + 3*a + o = 0. Let m be (-33)\/(-22) - 37\/a. Solve -5*q + 25 = -4*p, 0*p - 4*q = -5*p - m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535961?\nAnswer: 3, 7, 73141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -469714593572 from 3.\nAnswer: 469714593575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96476821?\nAnswer: 7, 43, 320521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 5. Let d = -8 - a. Let h be d*(3\/2 + -3). Solve 2*p + p = -h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 16 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 8542636019\nAnswer: -8542636017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 7 - 6)*(21*i**4 + 18*i**4 - 4*i**4) + i + 2*i**4 - i + (-4 + 3 + 2)*(-3*i**4 + 2*i**4 + 2*i**4).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98147435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -20*m - 62. Give b(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 1912.\nAnswer: 5736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 - 4*r**2 + r**2)*(0*r - 47 + 41 + r) to c + t*r**3 + f*r + d*r**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2512615 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 22 + 34 = 0. Suppose u*g - 5*a = 2725, 3*a = 3*g - 740 - 1300. Suppose 2*m = -x + g, -2424 = -5*m - 4*x - 735. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*a - 21*a + 51*a)*(5*a + 0 + 0)*(-42*a**2 + 29*a**2 - a**3 + 22*a**2).\nAnswer: -45*a**5 + 405*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -184*r - 1099. Determine y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48581 minus 568?\nAnswer: -49149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4527*y - 104124. What is u(-23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104823\/2 - -93292261\/1780. Let t = -6\/89 - g. Let h be (-49)\/392 + ((-399)\/(-264))\/7. Which is the third biggest value? (a) t (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*h**3 + 60*h**2 - 100*h**3 + 69*h**2 wrt h.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6371 + -405?\nAnswer: 5764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*t + 1870 = 510. Let u = -10 + 6. Let l(g) = g**3 + 6*g**2 + 6*g. Let x be l(u). Calculate the greatest common factor of t and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 61. Suppose r + m = -0*r. Let x be 0 - (-2)\/((-8)\/r). Solve 6 + 7 = 3*y - x*d, -2*y - d = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443013 (base 5) in base 7?\nAnswer: -62564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-59)\/(-9))\/1 + 6\/(-6) and 113\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.4 + -16.4. Which is the closest to -0.1? (a) k (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111179?\nAnswer: 73, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 484\/10 + (-66)\/1430*-13. Let f(v) = 2*v. Let r be f(1). Sort 1, r, c.\nAnswer: 1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/5)*j**12*j*(j\/(j\/(j**(5\/6)\/j)))\/(j*j**(-1\/8)) assuming j is positive.\nAnswer: j**(1339\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/9 + 310255*y**2\/9 - 24065006632*y\/9 + 24064075876\/3.\nAnswer: -(y - 155126)**2*(y - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1219*g**3 - 17*g + 133482?\nAnswer: 3657*g**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715) - (sqrt(1715) - sqrt(1715)*1))*-1)\/(-5*(-2*sqrt(10))\/sqrt(2)).\nAnswer: -7*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43853 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6325407 (b) 0.5 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -19366*k**2 + 5*k + 5*k + 19405*k**2 as r*k**2 + j*k + l and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-9))\/6*(-2)\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*b + 108 = -186 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 356 and 1383506246.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0*n**2 - n**2 - n**2. Let d(a) be the first derivative of -7*a**3 - 611. Determine d(x(p)).\nAnswer: -84*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54, -385, -1014, -1929, -3226, -5001, -7350, -10369?\n\"Answer: -16*d**3 + d**2 - 330*d + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4 + (4 + 0 - 2)*(-3 - 1 + 3) - 1 - 1 + 3)*(-4*a + 3*a - a) to the form j + p*a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62994148.\nAnswer: 2, 7, 23, 29, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t - 12 = -n, -t + 18 = -5*n. Suppose 8 = -t*s + s, b = 5*s + 28. Is (b - 534)*14\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:20 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 2, o: 1, g: 2, k: 2, w: 1}. What is prob of sequence jw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, p: 4, j: 8}. What is prob of picking 3 p?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from negggnvggknknngknv. What is prob of picking 2 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1452700, -1452753, -1452902, -1453195, -1453680, -1454405?\n\"Answer: -8*l**3 + 3*l - 1452695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35816 divided by -4?\nAnswer: -8954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Let o(w) = w + 2*w**y - w**2 + 1 + 1. Calculate o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 919.0296l in millilitres?\nAnswer: 919029.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w**4\/3 + 2084*w**3 + 390380*w**2 + 1164896*w\/3 = 0.\nAnswer: -472, -617\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 34 = -7*a. Let k be (-14998 + -2)\/(a*(-9)\/(-36840)). Round k to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/4 - 117\/(65\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -2. What is the nearest to -2\/3 in -2\/5, 4, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 0*r**5 + 2*r**5 + (-2*r**5 - r**5 + r**5)*(-4 + 0 + 0) + 11*r**5 - r**5 + 4*r**5 + 3*r**3 + 10*r**2 + 3*r**5 - 10*r**2.\nAnswer: 24*r**5 + 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 44 - 172 = 0. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(13*m + 4*m - 11*m + (-2*m - m + m)*(1 - 2 + 0) + 29*m + 15 - 15).\nAnswer: -37*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -71?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 24?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = 0, -135*u + 134*u + r + 1052 = 0. What is the remainder when u is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 - 803 - 613 = 241*r + 129 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/5 - 77*c**3\/5 + 1347*c**2\/5 - 2467*c\/5 + 1196\/5 = 0 for c.\nAnswer: 1, 23, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 9*c - 5*c + 9, -2*c - 22 = 20*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6311 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37214.9 years?\nAnswer: 446578.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 14*k = 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1911175 is divided by 181.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 3*g**5\/100 - g**4\/10 + g**3\/10 - 20*g. Factor j(h).\nAnswer: 3*h*(h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2468, 2474, 2482, 2492, 2504, 2518, 2534?\nAnswer: 2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 32 - 4 = 0. Suppose -y = p*k - 10, 3*y - 2*y + 3*k = 11. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a4a9 (base 13) to base 11\nAnswer: 55043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4565 - 91183\/20. Suppose 2*a + 456 = 5*k, 3*a + 468 = a + 2*k. Find the common denominator of x and a\/12 + 4\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 344\/7 or -16?\nAnswer: 344\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1612 by -7.\nAnswer: -1612\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24126682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:47 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-134*f**3 - 58*f**4 + 134*f**3) - 2*f - 2*f**4 + 2*f.\nAnswer: -60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/307725 - 346806101\/4000425. Let m = -8387\/78 - x. Find the common denominator of -63\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 0.15. Let p = 0.1 + d. Round p to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x + 22*x**2 - 74*x**2 + 17*x)*(0*x**2 - 2*x**2 + 3*x - 2*x).\nAnswer: 104*x**4 - 58*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.030317053 + -0.0056.\nAnswer: 0.024717053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203212*d - 203216*d - 5*c - 61 = 0, -3*c - 7 = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t - 50. Let d be i(-21). Suppose -4*b + 32 = -d. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732 is divided by 234.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 62. Let q = -1 - -3. What is the nearest to q in j, -3, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 107*q + 1747. List the prime factors of x(11).\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 44*h**5\/7 - 281*h**4\/7 - 2153*h**3\/7 - 3832*h**2\/7 - 2004*h\/7 = 0. What is h?\nAnswer: -2, -1, 0, 501\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**2 + 40*t + 60 = 0. Calculate t.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (15\/6)\/(800\/(-960))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -130, -158, -206, -274, -362, -470, -598?\n\"Answer: -10*f**2 + 2*f - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.1596 + 77.9549. Let q = u + -29.8. Round q to 4 dps.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7557195135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*t + 3210 - 859, -5*m = -t - 11803. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288592.\nAnswer: 2, 17, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(119) - 2*(sqrt(119) + -1*sqrt(119)))\/(sqrt(56)\/sqrt(2) - (sqrt(7) - (sqrt(343) + (sqrt(343) - (sqrt(343) - sqrt(343)*2)))))*-5.\nAnswer: 15*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + -15.2?\nAnswer: 60.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 658\/45 - 72\/5. Which is the nearest to 0.4? (a) n (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:37 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 25*g + 1133. Calculate s(-46).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6814 divided by 5\nAnswer: -6814\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.77 + -0.17. Let s = u - 1. Let q = 1\/276 - 2\/23. What is the closest to 2\/7 in -0.5, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, -15, -28, -41, -54?\n\"Answer: -13*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - b**2 - 4*b**2 + 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*i. Suppose 0*c - 2*c = -i. Suppose x + c*x = 0. What is the second smallest value in x, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose r*i - 2*i + 36 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 15*z**2 + 11*z - 16. Calculate the lowest common multiple of g(-8) and 8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by -1277172?\nAnswer: 1\/16374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1801*r**3 + r**2 + r - 1. Let j be 3*3*1\/9. Let u be m(j). Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 1 - d + 33*d**2 + 0*d. Let t be k(2). Suppose -2*m - 3*m + t = 0. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*d - 2*d - 29 = 0, 3*d = 3*t - 41 + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 5*z - 83. Let v be c(5). Let a(i) = 4*i**2 + 108*i - 65. What is the tens digit of a(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 s when three letters picked without replacement from mlmamacssam?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1278015.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(1\/2)*z)\/z))\/z*z**(1\/7))**(-40) assuming z is positive.\nAnswer: z**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17.6159 and 0.2.\nAnswer: 17.8159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 4*s + 8. Let m(x) be the second derivative of x**3\/6 - x**2\/2 + 34*x + 2. Suppose 2*v - 3 = -v. What is v*f(r) + 6*m(r)?\nAnswer: -r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1088990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 585*r\/2 + 145413.\nAnswer: -(r - 906)*(r + 321)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 - 1. Suppose 0 = 1126*a - 1148*a + 44. Calculate the smallest common multiple of a and q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooookkog. Give prob of sequence gk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270 is divided by 105.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2 + 2)*(-3 + 2 + 3) + (3 - 7 + 3)*(0 - 2*h + 0) + 48 + 57*h - 48.\nAnswer: 61*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(-144)\/25*(-30)\/(-4). What is the greatest common factor of v and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a1a726 - -8?\nAnswer: -9a1a71b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from vlu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**3\/j))\/(j\/(j*j\/((j\/(j\/(j**(-14)*j)))\/j))*j*j)*(j*j*j**4*j*j)**(-5\/12) assuming j is positive.\nAnswer: j**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 3*c**3 + 0*c**3)*(-2 + 1 + 3) + 3*c**2 - 3*c**2 - 6*c**3 + 1 + c**3 - 1 + 4 - c**3 - 4 + (-2*c**3 + 4*c**3 - 3*c**3)*(-3 + 0 + 5).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 6*u - u, 0 = -5*l + 5*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a day in minutes?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 1 - 1)*(11 + 11 - 10) to the form d*q + i and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2 + 2 + 8. Let f be ((-12)\/y)\/(2\/(-5)). Suppose -3*r + f*j - 23 = -59, -2*r + 21 = j. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-1\/4))*v)\/v*v**(-2)*v**(-1\/3)\/v*v\/v**(2\/7)*v)\/((v\/v**(-1\/4))\/v**(2\/7))**(-39) assuming v is positive.\nAnswer: v**(1501\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4196186, 4196157, 4196108, 4196039, 4195950, 4195841, 4195712?\n\"Answer: -10*d**2 + d + 4196195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (28 - (-32 + 31)) + -35\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8425 (base 11) in base 2?\nAnswer: 10101110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7987*u*w**6 - 9*u*w**4 + 284*u*w**2 - 108*u - w wrt w?\nAnswer: 958440*u*w**3 - 216*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1706.99111 + 1707. Let u = 0.0369 + a. Round u to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, w: 3, d: 15}. Give prob of sequence djwd.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 7) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) -0.3 (b) -0.4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 8:55 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syf when three letters picked without replacement from {f: 1, y: 1, d: 2, p: 1, s: 1, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -405 - -448. Suppose -46*t - 2*w = -s*t - 812, 3*t - 802 = -4*w. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(128)).\nAnswer: -16*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.488181804 to three decimal places.\nAnswer: 0.488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26113 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113820 and 170730.\nAnswer: 341460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 0) + 4\/(3 - -1). Let h be (42\/(-35))\/(0 + (-2)\/k). Suppose h*x + 17 = -40. Which is bigger: -22 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12495, 24966, 37437, 49908, 62379, 74850?\n\"Answer: 12471*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3 = -q, h - 2*h - 13 = -4*q. Sort q, -1, 3.\nAnswer: -1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 29 + 123 = 0. Let a = y + 536. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10113013032200 - 1?\nAnswer: 10113013032133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 38*h = 112 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 0 - 112*w + 94*w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v. Let i(m) = 1152*m**2 + 12*m. What is u(i(c))?\nAnswer: 10368*c**2 + 108*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.7 + -33299.\nAnswer: -33323.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 36836578?\nAnswer: 5\/36836578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = t - 33, 5*k = -t + 2*k + 38. Let d = 50 - t. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*i - 5, x + 0*x - 8 = 3*i. Let r be -1*(2 - 4 - i). Let y = -1.9 - -1.5. Sort r, y, 3\/5 in increasing order.\nAnswer: r, y, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660.6475ml to litres.\nAnswer: 0.6606475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-489)\/(-33) - (-6)\/33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*d + 54, 0 = -0*j + 4*j - d - 72. Suppose -j = -5*t + 7. Solve -2*l = t*y - 7, 0*y + 6 = 4*l + 2*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(80)*-3)**2.\nAnswer: 120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ondx when four letters picked without replacement from {n: 1, x: 4, e: 3, d: 5, i: 3, o: 1}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 + 14*d + 2. Calculate z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 55285490?\nAnswer: 55285489.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*5*6\/30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7673 + -18.2327. Which is smaller: 159 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -160 in -2\/13, -1\/4, 0, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/270*25\/95?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0542 + -0.0448. Let c = -0.11656 + 5.21556. Let l = r + c. What is the closest to 0 in l, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10 - 768\/(-30)) + -9)\/((-3)\/(-5))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 1. Let m be -3 - t - 6\/10. Which is the nearest to -1\/3? (a) m (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/27)\/(4\/(-57)). Solve -4*l - 2 = -5*i + 28, -2*i = -3*l - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 6161.\nAnswer: 616.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.5747 + 15.4. Let z = s + 0.17468923. Round z to 7 decimal places.\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1 - 1) + 32 + -29 + 30\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -18, -39, -54, -57, -42, -3, 66?\n\"Answer: u**3 - 6*u**2 - 10*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) - 33\/(-6). Suppose -88 = -f*x + x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2)*n)\/n)\/n)**(-1\/29)*(n**(-1\/4)*n)**12 assuming n is positive.\nAnswer: n**(259\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 17 - 18 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/93*(-28)\/35*(-20)\/(-32).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/19*y**4 + 2\/19*y**3 - 2\/19*y**2 - 2\/19*y + 0 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.26059 months in years?\nAnswer: 4.1883825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 606 - 134 - 22*w**3 - 1240 + 25*w**3.\nAnswer: 3*w**3 - 2048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 2*q = 36 + 64 - 125, -k + 11 = 4*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -366.38 - -60.08. Let w = 303 + x. What is the closest to w in 3, -1\/10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3. Let o(s) be the first derivative of s**2 + 6*s - 113. Let c(d) = -3*o(d) + 6*q(d). Let m(l) = 2*l**2 - 6*l**2 + 21*l**2. Calculate c(m(t)).\nAnswer: -102*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -340\/37 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1717 is divided by 78?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13434198 rounded to the nearest 100000?\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/13, -3, -13, -4, 0.16 in descending order.\nAnswer: 5\/13, 0.16, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -63965.1801 to the nearest 10.\nAnswer: -63970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10910.\nAnswer: 2, 5, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25627092?\nAnswer: 2, 3, 17, 269, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 645501 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**3 + 5*a - 5. Suppose -2*h - 10 = 0, -19 - 11 = -5*j + h. Let z(s) = 4*s**3 + 3*s - 3. Determine j*z(m) - 3*u(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64245119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -12*f**5 + 368*f**4 - 3152*f**3 + 5448*f**2 + 12380*f + 3400 = 0.\nAnswer: -1, -1\/3, 5, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11\/(-3))\/(-3 + 16\/6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + (-1350)\/40. Let u = -77680\/10661 - -1\/1523. Calculate the common denominator of (-27)\/9 - 176\/p and u.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104300090*b**2*l**2 + 3*b**2*l*m - 2*b**2*l + 2*b*l**2*m + 6*b*l**2 - 7112*b*l*m - 2*b*l - 2*b*m + 2*l**2*m - m wrt b?\nAnswer: 208600180*l**2 + 6*l*m - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2. Let y(i) be the third derivative of 1177*i**5\/60 - 10*i**2 - 18*i. Calculate m(y(p)).\nAnswer: 1385329*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - ((-12 - (2 + -34) - 10) + -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 3*u**2 - 2*u - 10. What is the hundreds digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4\/3 - 146*a**3 + 525190*a**2\/3 + 87568*a = 0. Calculate a.\nAnswer: -421, -1\/2, 0, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(sqrt(125) + (-1*sqrt(125) - sqrt(125) - sqrt(125))*-6 + -4*-2*sqrt(125))**2*-3*-5.\nAnswer: -8201250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135093 is divided by 395.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:10 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6 - -1) + 6340\/12. Let b be (-2)\/8 + d\/(-448). What is the closest to 0.1 in b, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 946774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/15)\/(26\/342). Let d = 1\/26 - o. What is the common denominator of d and -71\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42623 by -3.\nAnswer: -42623\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000235048 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -891 divided by 134.\nAnswer: -891\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 288551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10. Suppose n = -2*q - 2, -4*q = -4*l + 4. Suppose l = 3*j - 379 - 434. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177 + 178 + (4 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.011 and 0.8?\nAnswer: 0.8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 h when four letters picked without replacement from jajjajahhhhhjah?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**4\/36 - 2*c**3\/9 - 2*c**2\/3 - 7*c - 3. Let n(t) be the first derivative of z(t). Factor n(b).\nAnswer: -(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**2 + 9*y**2 + 672897 - 672897.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 45 - (229 + 231 + -311)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1 + 710*j**3 + j - 709*j**3 + 6. Let w be z(0). Suppose 2*k - 5 = 3*k. Put 0, w, k in increasing order.\nAnswer: k, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbwwwbyybbybwby. Give prob of sequence wy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 954?\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let l(w) = -12021*w + 4. Determine z(l(t)).\nAnswer: -24042*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -445*v. Let u(g) = -g**2. Give c(u(n)).\nAnswer: 445*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:09 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135 - (-101 + -71)) + -102.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1118 divided by 1118.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152 or 88753\/585?\nAnswer: 88753\/585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 2:49 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 4:51 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24331, 24333, 24335, 24337?\nAnswer: 24339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b**3 - 6*b**2 - b - 6. Let r(v) = 13*v**3 - 9*v**2 - 9. Let u(k) = 5*m(k) - 4*r(k). Let i(w) = -w**2 + w - 1. Determine -6*i(a) - u(a).\nAnswer: -18*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40241 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p. Let q be 1 - (1\/2 + p). Which is the closest to q? (a) -3\/7 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-8) + 6\/4. Let j = z + -4. What is the remainder when 29 + 1\/j*-3 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 3*b + 7. Let x be (-15)\/(-3) - (-2 - -3). Suppose -10 = 6*d - x*d. Give j(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1377, -2752, -4127?\nAnswer: -5502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 51. Let g be (-10)\/a*(3 + 0). Suppose -g*n + 551 + 335 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - (-28 - -68))*(-10)\/(-8)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59682956 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3714746.\nAnswer: 2, 7, 265339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 1. Suppose -3*y = -2*f - 188, -2*f + 2*y = -0*f + 188. Let h be f\/(-8) - (4 + 17\/(-4)). What is the greatest common factor of j and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 0 (c) -1\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.54 bigger than -36\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1249881 - -0.125. Round f to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45691 is divided by 2284?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24899076.64000318 - -24899077. Let w = l + -0.36. What is w rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 42*d - 2274. Determine x(54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3490 and 59\/33590.\nAnswer: 11722910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21730 + 119*l**2 - 21730)*(l - l - l).\nAnswer: -119*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-135.6429\nAnswer: -162.77148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -21. Let g = a - 18. Put -0.1, g, -5 in ascending order.\nAnswer: -5, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -289\/8 - -36. Let v = 0.2 + 0.6. Let q = v - -2.2. Which is the closest to 0.05? (a) -1 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/16 and 65\/1414.\nAnswer: 11312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/339864 and -83\/55086290.\nAnswer: 661035480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 23*a**2 + 117*a + 203. Is u(-31) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, f: 9, o: 4, d: 2, j: 1}. What is prob of picking 1 f, 1 j, and 2 d?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 7770*c - 15536.\nAnswer: -(c - 7768)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 57*q**2 - q + 63. Let t be d(57). What is the hundreds digit of (-14)\/(-2) - t - -812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 910 + -3643\/4. Put 10, n, -3 in descending order.\nAnswer: 10, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 89.72141 nanometers?\nAnswer: 0.00008972141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984885.\nAnswer: 5, 7, 56711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 21021101001102112?\nAnswer: -21021101001102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 988609247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 0 + 1380\/(-330). Is 0.2 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) 3.4 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26480 and 160230?\nAnswer: 424289040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 5 (c) -0.1 (d) -3\/106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*i**2)*(3*i**2 - 2*i + 2*i) + (3*i**3 + i**2 + 3*i**3 - 3*i**3)*(5*i + 0*i - i).\nAnswer: 18*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 11*n**2 + 137*n + 42. What is the remainder when p(-19) is divided by 45?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = -t, -10 = -4*t - 2*y - 4. Let o = 1 + -2. Calculate the remainder when 3 is divided by -1 + 4\/(t + o).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {x: 2, p: 1, k: 4, y: 1, r: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 - 2*m**2 - 4*m + 8. Let f(q) = 2*q**3 + q**2 + 4*q - 6. Let d(p) = 4*f(p) + 3*s(p). Let b(z) = z**2 - z + 1. Determine 4*b(i) + d(i).\nAnswer: -i**3 + 2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-1)\/(-1)). Let d be ((2238\/54)\/(-1))\/((-4)\/6). Let h = d - 61. What is the closest to h in z, -0.2, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q + 15*q + 49 + 23 - 7*q. Does 24 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 103 = 4*f, 6*f + 2*k + 118 = 2*f. Let u = f - -36. Suppose 0 = -5*b + 5*y + 30, 4*y + 7 = -4*b - 1. What is the lowest common multiple of b and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17532 + 2029 = 1580*v + 2108*v - 751 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gafa when four letters picked without replacement from {a: 5, f: 3, g: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/12 + 1305*o. Let r(n) = -484*n**2. Determine j(r(a)).\nAnswer: 234256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*b - 15. What is the remainder when b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 178\/5. What is the nearest to 1\/3 in 0.2, x, 6\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347919.283 rounded to the nearest one hundred?\nAnswer: 347900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1074*c + 2*f - 12 = 1069*c, f = -9. Solve 5*z + c*u - 22 = 15, 0 = -3*z - 5*u + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1399626 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/4, 2, 278 in descending order.\nAnswer: 278, 2, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1 - 2 - 1 + k + 3. Let a(o) = o**2 + 3*o + 3. Let s(n) = -n**3 - n**2 - 18. Let y be s(0). Let b = 12 + y. Determine b*j(q) + 2*a(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1020)\/130 + (-16)\/(-2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20750 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1 + 3 + 0 - 1 + (-2 + 0 + 1)*(5 - 4 - 2) + 75 + 54 - 9)*(2*o**2 - 4*o**2 + 3*o**2)*(-1 - 1 + 0) in the form w*o**2 + n + b*o and give w.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*d + 48 + 27 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2866 and 1532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7613091.\nAnswer: 3, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l + 1. Suppose -4*r + 1 = 3*t - 35, -5*t = 4*r - 28. Suppose -4*p + 0 = -r. What are the prime factors of x(p)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -33. Suppose 5*d = j + 16. List the prime factors of (-6)\/21 + 135\/d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109939 is divided by 383.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 8*c + n - 1016, 0 = 3*n + 12. Suppose -20*m - 204 = -c. Let 1\/4*k**2 + m + 1\/4*k = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 25, 0 = -2*t + 4*t - 3*f - 25. Suppose 23*n - 360 = t*n. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -15*r**5\/4 - 45*r**4\/4 - 23*r**3\/2 - 9*r**2\/2 - 3*r\/4 + 8. Suppose t(i) = 0. What is i?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -33\/19, -3, -1, 8\/13.\nAnswer: -3, -33\/19, -1, 0, 0.4, 8\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -150, -323, -620, -1047, -1610, -2315, -3168, -4175?\n\"Answer: -j**3 - 56*j**2 + 2*j - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1098114925, 1098114927, 1098114929, 1098114931?\n\"Answer: 2*v + 1098114923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {d: 2, i: 1, k: 2, g: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - ((2 + -11 - 8) + 6 + 4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*g - 27*g - 13*g - 19*g - 12*g - 24*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 4*h + 4*h)*(-2*h + 1 - 2 + h + 2*h + 1 - 1 + (-h + 2*h + 0*h)*(-1 + 3 + 0) - 2 - h + 2) to x + f*h**2 + v*h and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 945 and 35595?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.3 and 3176.76?\nAnswer: 51781.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 86 + 24 = 0. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235219158?\nAnswer: 2, 3169, 194891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by (-4)\/(-38) + 3 + 3311\/133?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -534 + 589. Solve 14*z - q = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44034.004 days in weeks?\nAnswer: 6290.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6474, -6384, -6272, -6126, -5934?\n\"Answer: 2*d**3 - d**2 + 79*d - 6554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 916 + 148 + 74*f - 484*f - 204*f - 2*f with respect to f.\nAnswer: -616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.3, 0.9, -4191 in descending order.\nAnswer: 0.9, 0.3, -2\/11, -4191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1180, 2177, -1?\nAnswer: 2177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 278831218007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -20, 0.2, 1810\/19 in ascending order.\nAnswer: -20, -5, 0.2, 1810\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -61\/308 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 * 28.\nAnswer: -8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44822 and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from zdwfpzdv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqrr. Give prob of picking 2 q.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 56*t**2 + 811*t + 48. Give v(68).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, 7 in decreasing order.\nAnswer: 22, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 3*n - 4*n - 2 + 5*n + 0. Let x(g) = g + 1. Suppose -j - 2*j = 9. Let z be x(j). Calculate l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 24416*m**2 - 24428*m**2 + 7*m + 0*m**4 - 4*m**3 + 0 + 1 - 5*m**4 in the form o*m + g*m**2 + s*m**3 + t*m**4 + p and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n + 6 = -y + 20*n, -4*n = 3*y + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*q + 50 = 0, c + 3*q = -c + 120. Calculate the remainder when c is divided by (-4 + 172\/(-8))\/((-6)\/4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 115.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**4 + x**3 - 7*x**2 - 4*x + 3. Let o(p) = 2*p**4 + p**3 - 6*p**2 - 3*p + 2. Let z(d) = -4*b(d) + 6*o(d). What is a in z(a) = 0?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323038.158 rounded to the nearest one hundred?\nAnswer: 323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q**2 + 2*q + 1. Let g be m(2). What is the units digit of (-1)\/(-2)*(-5 - g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 544?\nAnswer: 48.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73 and -1.321.\nAnswer: -96.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202011111 (base 3) in base 12?\nAnswer: 17a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**7\/21 + 2*y**3 - 13*y + 7. Let m(c) be the first derivative of n(c). What is the second derivative of m(h) wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 2. Let z(k) = 44*k - 3. Let y be z(0). Let u(d) = 2*d + 2. Determine y*g(i) - 2*u(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*k - 2*k - 30, 5*k = -c - 21. Suppose t - 5*l - 9 = 0, -c*t + 3*l = -0*t - 87. List the prime factors of t + (-12)\/(-3) + -8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954790 is divided by 1068?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 44659.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 514\/30 + (0 + 10 - 8)\/(-15). Solve 0 = -q*v + 70*v + 371 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -3, -2333, 4 in ascending order.\nAnswer: -2333, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**2 + 5. Let r(q) = -2*q**2 - 1. Let t(u) = 10*r(u) + 2*s(u). Let b(d) = -7*d**2. Let p(m) = -b(m) + 4*t(m). Let j(f) = 8*f - 1. What is p(j(v))?\nAnswer: -64*v**2 + 16*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49105\/(-427))\/(30\/3)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -12.4\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 17*u = -50. Which is smaller: 5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:16 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (384\/1600)\/((315\/(-245))\/((-10)\/7))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36391 and 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1198, -1, 5 in increasing order.\nAnswer: -2, -1, 5, 1198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, w: 1, r: 1, y: 1}. What is prob of picking 1 b and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 144, 148, 154, 162, 172, 184, 198?\n\"Answer: t**2 + t + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 15. Let d be 2\/(-7) - (-30)\/g. Does 4 divide (d\/6)\/(4\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30750052.\nAnswer: 2, 67, 179, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 divided by -1?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18541484, 18541485, 18541486, 18541487, 18541488?\n\"Answer: g + 18541483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*j = -12, 0 = -0*w - 2*w + 4*j - 12. Let d = w + 2. Factor 0 - 2\/7*p - 4\/7*p**d - 2\/7*p**3.\nAnswer: -2*p*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 - 318*d + 1301. Determine k(4).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 + 1205?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 733924\/33 + -22242. Calculate the common denominator of -70\/27 and d.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from xxxxwlwwwww?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 725292, 724824, 724352, 723876?\nAnswer: 723396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in 2085, 0.11, 1\/4, 2, -6, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3794591 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - 14*d**2 + 4*d - 16. What is f(-7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:09 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612173 is divided by 511?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5192)\/(-1947)*15\/(-10))\/(((-2)\/47)\/(-1))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -2 (c) 2\/3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p*s**3*t*y**2 + 88*p*s**2*t*y**3 - 33*p*s**2*t*y**2 - p*t*y**2 + 2*p*y**3 + 2*s**3*t*y**2 - 2*s**3*y**3 + 3*t wrt y?\nAnswer: 528*p*s**2*t + 12*p - 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 42, -5152 in ascending order.\nAnswer: -5152, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 878\/21 + -17869\/427. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2074*t**2 + 62*t**3 - 11*t**3 - 2074*t**2.\nAnswer: 51*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*d - 96*d = 136. What is the fifth biggest value in d, -2\/3, -2, 5.1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*227\/1362.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 21 = 3*s. Suppose -s*c + 2 + 4 = 0. Suppose 3 = k + l, 2*k - 3*l = c*l + 6. Solve 2*w - k*w = 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 6*b**2 + 4. Let r be s(-6). Suppose -54 = 2*a - r*a. Let i = a - 8. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1076812 or 1076773?\nAnswer: 1076773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + 2 + (48 - -27) + -44.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -1526541?\nAnswer: -1526542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 9*i - 8. Let v be k(5). Suppose -14 = -t + 46. What is the highest common divisor of t and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4397 + -0.1497. Sort 3\/4, o, -4, 2\/3, 0.02 in descending order.\nAnswer: 3\/4, 2\/3, o, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0814 and 0.1?\nAnswer: -0.00814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596, -1175, -1756, -2339, -2924, -3511?\nAnswer: -4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 403 + -139. What is the units digit of j\/16*(-56)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8 = 2*h - 4, 0 = h + 2. Which is bigger: 3\/49 or y?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 1\/20*n**4 - 6\/5*n**2 + 8 - 9\/100*n**5 + 6\/5*n**3 - 20*n. Let d(o) be the first derivative of t(o). Factor d(z).\nAnswer: -3*(z - 2)*(z + 2)*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -23 + 25 + 40 + 2*y + 2*y. Give f(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 65*q - 100. Is h(-45) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 - 24*r**2 - 2*r**2.\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106476931 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*d = 66*d - 48. Suppose 5*t + 20 = 2*j + j, 5*t = -5*j + 20. Put -15, d, j in decreasing order.\nAnswer: j, d, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -265 + 0*i + 268 + 5*i. Let a(m) = -m. What is a(r(d))?\nAnswer: -5*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3175596994 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1721 divide 293838377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 4*q + 7*q**2 - 8*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 1. Let r(c) = -c**2 + 16*c. Let m be r(11). Calculate the greatest common divisor of x and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28960 and -0.8?\nAnswer: -23168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/7)*o**(3\/5))**35 assuming o is positive.\nAnswer: o**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 + 3 + -2. Suppose 533 = -f*r + 5*k, r - 2*k + 167 = -3*k. Let j = -90 - r. What is the remainder when j is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 3681 - 3683 + 33*k**2 to z*k**2 + r + q*k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/4, 44\/3, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l - 196 = -22*l. Let p be (-1 - l\/12)*12\/(-40). Which is the third smallest value? (a) -0.1 (b) p (c) 5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = o, -4*o + p - 7 + 26 = 0. Put 8, o, 0, 3 in decreasing order.\nAnswer: 8, o, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b - 36*b - 242928 = 0. Suppose 0 = 14*n - b + 398. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z - 1. Suppose 5*r - 2*x = x - 27, -3*x + 3 = -r. Let h be n(r). Let f(y) = 2*y + 1. Calculate f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(5*y**4 - 2*y**4 - y**4) + 0*y**4 + 2*y**4 - y**4 + (-2*y**3 - 2 + 2)*(5*y - 2*y - 2*y).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 10076579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -10*d - 3. Let w be h(-1). Suppose -w*j = -1178 - 355. Suppose -2*x + 202 = -3*n - 7, 2*x - 5*n - j = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((140\/360)\/((4340\/150)\/31))\/((-105)\/(-12)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4240265\/185867 + -1392\/61. Calculate the common denominator of -101\/554 and s.\nAnswer: 6094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 2 + 13*u**2 + 0*u**2 + u**3 - 3*u**2 + 14. Let s be h(-10). Suppose 0 = -2*i + 6, -s*i + 524 = 3*f - 97. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 3. 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: What is (-970)\/(-1067)*(-165)\/(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**4 - 148*c + 3868 with respect to c.\nAnswer: 12*c**3 - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (71 - (27 - (-22 + 41)) - 12).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2165*l + 13. Let h(z) = 12629*z + 76. Let x(s) = -6*h(s) + 35*u(s). Let a(c) = 9*c - 3. Let y be (2\/(-4))\/((-1)\/(-2)). What is y*a(m) + 6*x(m)?\nAnswer: -3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1963055 divided by 41\nAnswer: -1963055\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(425\/391))\/(-1)*-2\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192 + -10369\/54. Is -1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/3))**20\/(l*l**(-2\/17)*l\/l**4) assuming l is positive.\nAnswer: l**(788\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.1 and -7555.\nAnswer: 30975.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -2 - (3 - 1). Let g(r) = -4*r - 22. Let f(k) = 2*k + 11. Let l(z) = 5*f(z) + 3*g(z). Let b(d) = 5*d + 23. Let c(m) = 3*b(m) + 7*l(m). What is c(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 252\/528 - (1 - (-5)\/(-4)). Is w <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*sqrt(91))\/sqrt(7) - ((1*sqrt(78))\/sqrt(6))**2).\nAnswer: 6*sqrt(13) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 53, -11, -7\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 8)*(-2 + 5 - 4)*(-1 + 0 - 4)*(-z - 4*z + 3*z)*(z - z + 5*z) to the form i*z**2 + y + s*z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.3 (b) 2\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 2*b**4 + b**4)*(7*b - 8*b + 5*b).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4 + u - 2*u + 3 - 2. Let a be x(3). Suppose -169 + 31 = -a*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 316 = -13*f. Calculate the lowest common multiple of f and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h - 93 + 25 = 0. Let l(v) = -28*v**2 + v - 152. Let c(q) = 29*q**2 - 2*q + 151. Let p(o) = h*c(o) - 3*l(o). Find the first derivative of p(b) wrt b.\nAnswer: 52*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k = 2*g + 23, -4*k = 3*g - 430 + 401 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b + 5*b**3 - 6*b**3 + 16*b**3 - 2. Let v(d) = 8*d**3 + 6*d - 1. Give 6*h(s) - 11*v(s).\nAnswer: 2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 + 16 = 0, 2*a = -5*r - 343. Let u = a + 227. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-1 - -1) - -6. Let h(y) = -7*y**2 + 0*y + y**3 + 0*y. Let a be h(l). Let k(j) = -j**3 + j**2 + j - 5. Give k(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/3 + 4*t**2 + 157*t + 3974. Give m(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/305 and 23\/55?\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 856 and 7490?\nAnswer: 29960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -257445.\nAnswer: -2317005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3156963 is divided by 485?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (1*sqrt(10) - sqrt(10)))\/sqrt(5))**2 - (2 + 1*sqrt(2)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baarabaeaeezazbzara. Give prob of sequence rz.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*z**3 + 22*z**2 - 2 + 12*z - 10*z - 5*z**4 - 18*z**2 + 6*z**3 to the form b*z**4 + i*z**2 + k*z**3 + t*z + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 6*s - 3. Let x be h(7). List the prime factors of x\/(-3) - 10\/30.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iririrriirir. What is prob of picking 3 i and 1 r?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**4 + 5*c**3 + 325*c**2 - 1125*c = 0. Calculate c.\nAnswer: -9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let r be ((-12)\/10)\/((-1)\/10*3). Suppose a = r*b - 5*b + 1, -b = -2*a + 14. Let v(n) = a*n - 13*n + 0*n. Determine v(p(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 + -8?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 12666.954397?\nAnswer: 12661.954397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 3, m: 4, t: 6, d: 3}. Give prob of picking 2 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmttm. Give prob of picking 3 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -d + 22. Solve 3 = 3*y, f - 1 + d = 3*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/29*(-2)\/11)\/((-177)\/(-1298))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 0. Let b = j - 4.7. Let z = 0.27 - 0.57. What is the third biggest value in z, b, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - z. Let g = 1 - z. Let f = 6 - g. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5773*c**2 + 2*c**3 - 2884*c**2 - 2888*c**2 + 236 - 3*c**3 as p*c**3 + y*c**2 + n*c + r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/21)*u**(-7)*u)\/(u*u\/u**(-4\/9)*u*u**(-2)\/u))**(-1\/21) assuming u is positive.\nAnswer: u**(349\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5\/13 + 8*s**4 + 1760*s**3\/13 + 9600*s**2\/13 - 18432*s\/13 - 221184\/13 = 0.\nAnswer: -24, -12, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a985 - -5?\nAnswer: 3a98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 184 - 265. Which is the fourth smallest value? (a) j (b) 0.01 (c) -3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832983317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 909915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355.28 - 0.5.\nAnswer: -355.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83833283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1088 - 1078. Solve 7*k + x = 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, a: 5, b: 2, i: 3, v: 1, e: 1}. Give prob of picking 1 i, 1 y, 1 a, and 1 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2.8, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*k*o - d**3*k - 18804*d**3*o**2 + 36*k*o**2 - 4*k + 413615*o wrt o.\nAnswer: -37608*d**3 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 3\/(6\/8) - (-156)\/3.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 13*o**2 - 31*o - 11. Let w be y(-15). Let v be (-45)\/27 + (w - 3). Sort -1, -2\/5, v, 0.2.\nAnswer: -1, v, -2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-1440)*8)\/((-312)\/351).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -234744 (base 8) in base 12?\nAnswer: -3a604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 15 (c) -0.014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22940 is divided by 6921.\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 10:01 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 18*x - 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17\/33 - 2\/11. Let q(o) = -o**2 - 86*o + 271. Let w be q(-89). Let u = -2.97 + -0.03. Which is the third smallest value? (a) u (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0\/b**6*((b\/(b\/(b*b**3)*b)*b)\/b)**(5\/2) assuming b is positive.\nAnswer: b**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9387*x. Let p(a) = 2*a. Determine d(p(y)).\nAnswer: 18774*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**2 + 5936*g + 5940 = 0 for g.\nAnswer: -1, 1485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 3837*m**2 + 88704*m - 293360 = 0. Calculate m.\nAnswer: -3860, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.1 - 2.9. Let a = 39 + y. Suppose 0*q + q + 1 = -i, 0 = 5*i - 5*q + 25. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {f: 3, i: 6, n: 1, x: 3, b: 4, y: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 5:30 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 2, f: 3, k: 1, p: 1}. What is prob of sequence xk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 - 11*z**4\/24 - 4*z**3\/3 + z**2. Let f = 103 - 113. Determine m(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161\/5 + 1107\/35. Which is the third smallest value? (a) 0.4 (b) 0.5 (c) r (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*t - 983, -9*y - 398 = -11*y + 2*t. Calculate the remainder when y is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442 (base 5) in base 7?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50 and -1935.\nAnswer: 96750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -503 - -517. Let q(z) = 5*z**2 - z + 25. What is the tens digit of q(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 3, n: 3, q: 1, s: 5}. What is prob of sequence sq?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 3*g**2 + 0*g + 0 + 0*g**4 + 0*g**3 - 1\/30*g**5. Find o, given that a(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 38101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) 5 (c) -1\/154 (d) 2 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + (-8 + 3 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = 2. Solve -d - 16 = p*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 231 - 234. Sort n, -1\/6, -2, -1\/11 in increasing order.\nAnswer: n, -2, -1\/6, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -346, -458, -582, -724, -890, -1086?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121 + -132 + 0 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -4 - ((19 - 24) + (3 - 16)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -42219?\nAnswer: -42220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 23*t**3 + t**2 - 2*t - 3. Determine m(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4.09. Let p = -0.08988 + x. Round p to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/7 and ((-9)\/18)\/(7\/20).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**3 + z - 9. Let r(h) = -4*h**3 - h + 5. Let w = 2853 + -2850. Calculate w*v(g) + 5*r(g).\nAnswer: g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 + -141. Suppose 6358 = 4*p - 2*n, 2*p = n - f*n + 3176. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59864 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -140, -185, -262, -377?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(4 - 3) + (0 - -9). Suppose -7*g + 72 = k*g. Which is smaller: g or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 1, v: 2, q: 1}. Give prob of picking 1 s, 1 m, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/5 (c) -5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + (-1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 79 = 79. Let q = -275 - -5501\/20. Is q at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334765, -669850, -1005561, -1342210, -1680109, -2019570, -2360905?\nAnswer: -2704426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108\/10 - (34\/5 - 7). Suppose -77 = -o*w + 517. Suppose -w = 3*j - 117. What is the remainder when 41 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 (base 10) in base 12?\nAnswer: 4b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 5*d**2 - 8*d**2 + d**2.\nAnswer: -2*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 65e083 + -1?\nAnswer: 65e082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 3*d**2 - 2*d + 11. Determine v(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1223154 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 8. Calculate g(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 23643*m**2 + 2. Let b(h) = -2*h. Give b(p(k)).\nAnswer: -47286*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 7:00 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = d + 11 - 51, -4*d + 70 = 3*h. Suppose 0 = h*w - 153 - 225. Solve -w*a + 19*a = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(8\/(-4)))\/(4\/(-12)). Let j be (-24)\/x + (0\/(-3) - 0). What is the fourth biggest value in -4, -0.1, -0.5, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -98*j**5\/5 + 273*j**4 - 3602*j**3\/3 + 1560*j**2 - 800*j - 100. Factor f(l).\nAnswer: -2*(l - 5)**2*(7*l - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365691966 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 2*t**2 - 21*t + 26. Calculate p(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 11:34 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/(b**(2\/13)\/b))**(-36)*(b**0)**(2\/15)\/((b*(b*b**(-6)\/b)\/b)\/b*b\/(b*((b*b\/b**6*b)\/b)\/b)*b) assuming b is positive.\nAnswer: b**(-1319\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4*h - 30 = 0. Let l = 5 + -1. Suppose -3*t = -v - 29, -t = -v + l*v - 23. Calculate the lowest common multiple of t and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = k - 2*i, -2*k + 4*i + 62 = 3*k. Let l(w) = 2 - k - w + 8. Calculate l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4086*t - 13. Let z(n) = -n + 9. Let y be z(10). Is q(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -4, 22, 52?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35504611739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -619905887 or -619905886?\nAnswer: -619905886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -267.8079 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 10*j**2 - 2*j - 10. Let l(v) = -2*v - 4. Let t be l(3). Let a be y(t). Let n be (8 + -3)*4\/a. Solve 2 = g - n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 282*x - 281*x - x**2 to s*x + h + f*x**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15597289?\nAnswer: 23, 223, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*h - 3*h - 5, 4*x - 4*h + 12 = 0. List the prime factors of 476\/12 - x\/(-6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216023249 - 548\nAnswer: -216023797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zadi when four letters picked without replacement from {l: 3, i: 3, c: 1, z: 2, d: 1, a: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 + g + 15. Does 15 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002663275 rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 21. Suppose z + c = -z. Let n(a) = -a**2 - 4*a - 2. Give n(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -21*x**2 - x + 3. Let o(v) be the second derivative of -43*v**4\/12 - v**3\/3 + 7*v**2\/2 - v - 15. Determine 7*d(t) - 3*o(t).\nAnswer: -18*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(12)\/(3*sqrt(24)))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(38) - 4*sqrt(38)*6)\/sqrt(2)).\nAnswer: -12 + 69*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1306 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/9 - 256*x**2\/3 + 8192*x.\nAnswer: 2*x*(x - 192)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 5*b + 2*b + (-2 + 2 + 2)*(0*b + 3*b + 0*b) - 3251 + 3251 - 27*b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/64311 and -22\/44523?\nAnswer: 578799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007736949 to four decimal places.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9442 + -9438. Let r = 169 + -841\/5. What is the second biggest value in 0.2, -5, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 5*j + 2. Let x be r(-3). Suppose -x*q = 2*a + 195980, 3*a - 2*a = 2*q - 98008. What is a rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23458046 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*q - 8*q. Find m, given that -12*m + 2*m + m + q*m**3 - 6 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14151\/40 or 354?\nAnswer: 14151\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -396 - -607. Let k = n - 190. What is the remainder when 51 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130.3007 millennia to years.\nAnswer: 130300.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(-6*(sqrt(128) + sqrt(8))))\/(-6*sqrt(81)*-1 - sqrt(81)).\nAnswer: -sqrt(5)\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -678183 or -678184?\nAnswer: -678183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-2002)\/(-44))\/(-3*2\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 6 - 16. Let z be ((-42)\/(-4))\/(r\/4). Let k(h) = -z - h**2 + 0*h**2 - 3*h + 18. What is k(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21263.87824 + -21264. What is s rounded to three dps?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11322 (base 4) to base 13\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/19)\/p**(-3))\/(p\/p**(-1\/4))**(1\/3) assuming p is positive.\nAnswer: p**(565\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**4 + 163*x**3 - 506*x - 5901291 with respect to x.\nAnswer: 4*x**3 + 489*x**2 - 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-70)\/(-28)*-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/189477330 and -3\/7218184?\nAnswer: 757909320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 24 = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12 = 2*l. Suppose 2*b - 139 = r, -l*r + 119 = 2*b - r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -257*k**2 + 16*k. Let v be y(6). Let n be ((-3)\/(18\/8))\/(8\/v). Let g = 2199 - n. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - f**2 + 1)*(f**2 + f - f) - 6*f**2 + 6*f**2 + 4*f**4)*(24 + 16 + 13).\nAnswer: 159*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.85 or -0.38?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 14*i**3 - 6*i**2 + 2*i + 13. Let u be c(-4). Let g = u + 2138. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16355610 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157080 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-11 - -21) + 8 - -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 168a + -120b?\nAnswer: 47e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 496566 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t + t**4 - 4*t + (-t**3 + 4*t**3 - 2*t**3)*(5*t - 3*t - 4*t) + (t**2 - t**2 + t**2)*(10 - 2*t**2 - 10).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 = 2*s. Let b be s\/3 + 14\/(-21). Let x = b - -2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 10*n**2 + 24*n - 8. Calculate h(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 divided by -4?\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449 - 787 + 308 - 2*c.\nAnswer: -2*c - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1925688 - 36862.\nAnswer: -1962550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*(-11)\/110*-10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -37. Is z less than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -46489?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18364*x**2 - 12293*x wrt x.\nAnswer: 36728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 122 + 0*x**2 - 317 + 160.\nAnswer: -2*x**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 8*j**2 - 11*j + 1. What is the tens digit of k(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 360 = -2*y, -2*m - 133 = y + 230. Put -3, 0.3, m in decreasing order.\nAnswer: 0.3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10146 - -10139.5093. Let l = 0.0307 + g. Round l to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86 - (-17 - 5) - -19) + 10.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3361 - 3149. What is the remainder when a is divided by 67?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361 + -359. Factor 2\/7*x + 0 + 2\/7*x**u.\nAnswer: 2*x*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3598 is divided by 256.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5313 and 3864.\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a factor of 8072688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q - 20*q - 13*q + 1. Suppose a - 5 = 0, 0 = -2*g + a + 4*a - 5. What is the remainder when s(-1) is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 3 + (sqrt(175) - (sqrt(175) + sqrt(175) + -1)) - (sqrt(175) - (0 + sqrt(175))*-6)**2.\nAnswer: -8571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 30 = 2*j + 3*d, 51 = 5*j + 2*d. Let q = 66 + j. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -155480 and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4755)\/(-6))\/(2\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 202?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4\/7 - 225*f**3 - 12753*f**2\/7 + 67656255*f\/7 + 406052550\/7 = 0. Calculate f.\nAnswer: -179, -6, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 6. Suppose 5*a - 162*l = -164*l - 26, 2*l = 5*a + 14. Let n(y) = y + 7. Determine a*n(z) + 5*q(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 = 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*z - 18, 178*x - 193 = 7*z - z + 6*z + 173*x for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34, -127, -280, -493?\n\"Answer: -30*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + -12. Let l = -43 - z. Sort l, -3, -2, -4 in ascending order.\nAnswer: -4, -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -673103378 smaller than -673103377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.802961789 to 3 dps.\nAnswer: 2.803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - (-24 + 38)) + -5 + -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 0.3 (c) 5 (d) -15 (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(-102)*(-513)\/190.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 21*h**3 - 10*h**2 - 6*h + 19. Let g be n(8). Suppose 0 = -15*b + 3102 + g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5908*k = 5536*k + 5047 - 1699 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 2 + -8 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -90.9198 times 32.7\nAnswer: -2973.07746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870*k - 279 - 29 = -892*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/(-4))\/(7\/2212)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 136, 106, 54, -26, -140?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52722830?\nAnswer: 2, 5, 5272283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-56) - (-12 - (-282)\/24)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32541, 32518, 32495, 32472?\n\"Answer: -23*w + 32564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(85) - (sqrt(85) + sqrt(85)*2 + sqrt(85)) - sqrt(85)) - 4*-1*sqrt(85))\/(-1*sqrt(15)\/sqrt(3)*4).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let c = -1449 + 1262. Let b = c + 186.948. Is b not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 3*p**2 + 5*p + 5. Suppose -u + 60 = 5*u. Let o(i) = -i**3 + 2*i**2 + 3*i + 3. Calculate u*o(v) - 6*c(v).\nAnswer: -4*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*u + 335 = 0, -u + 283 = -20*p + 16*p. Does 21 divide (p\/(-10))\/(6\/1260*4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227654220 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c + 4. Let n(b) = 0 + 8*b + 15*b - 16*b + 3*b + 8. What is 5*g(q) - 2*n(q)?\nAnswer: 5*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5)\/r**(1\/4))**(-25)*(r*r*r\/(r**1\/r))**(-6)*(r*r*r**(1\/3))**37 assuming r is positive.\nAnswer: r**(835\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -65*y**3 + 5*y + 4. Determine f(-1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**2 + 3*n**2 + 2*n**2)*(n + 2*n - 5*n)*(-80*n - 347*n + 12*n) to m*n + w*n**2 + s*n**3 + v*n**4 + d and give v.\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 8) to base 14.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-9 - 22\/(-3)). Let n(i) be the second derivative of 0*i**4 + v*i**3 + 1\/20*i**5 + 7*i + 0*i**2 + 0. Find the second derivative of n(a) wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2906 - 3\nAnswer: 2903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruu when three letters picked without replacement from {u: 2, r: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1 + -2)\/(3\/(-28)). Suppose -4*n - 3*n = -x. Suppose 19 = -5*m - 3*j - 67, 5*j = n*m + 91. Which is smaller: m or -16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10408 is divided by 2596?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a day?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b779 (base 14) to base 11.\nAnswer: 21875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 389*l + 18341. What is v(55)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10093, 20664, 31233, 41800, 52365, 62928, 73489?\nAnswer: 84048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/10 - 2*r**4\/3 + 3*r**3\/2 - 21*r**2\/2 + 89*r. What is the remainder when a(6) is divided by (-6)\/(-24) + (-71)\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72984838 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7262295 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -4. Let a(g) = -7*g - 2. Let z(v) = -7*v - 2. Let r(m) = -3*a(m) + 4*z(m). Let y(h) = 15*h + 4. Let j(o) = 13*r(o) + 6*y(o). What is j(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 3)**2 + -3.\nAnswer: 42*sqrt(5) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4291\/2 - -2153. Let q(j) be the first derivative of i*j**4 + 0*j + 14\/3*j**3 + 25 + 0*j**2. What is the third derivative of q(b) wrt b?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 - 2*i**2 + i**2)*(1 + 0 + 0) + 3*i**2 - 2*i**2 + i**2 to the form y*i + z + v*i**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 66?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 22714?\nAnswer: 2270b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -884 by 3.\nAnswer: -884\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -19?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/525*(262\/(-84) + 3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*n**2 + 11*n**2 + 18*n**2 - 3*n**2 as k*n**2 + a + u*n and give k.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2\/9*t**3 + 34\/9*t - 10\/3 - 2\/9*t**2 = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25630.51 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(704) - sqrt(704)*-2) + 5*(sqrt(539)*-1)**2)*5.\nAnswer: 120*sqrt(11) + 13455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - f)*(-31 + 31 - 10*f)*(4*f + 9*f - f) + (3 + f - 3)*(5*f**2 - 2*f**2 - 2*f**2).\nAnswer: 121*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9708\/(-80091))\/(4\/12).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2337 + 4?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*p = -3 - 21, -z + 8 = 4*p. What is the smallest common multiple of (3\/(-15)*5)\/((-1)\/2) and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 35*p. Let i be t(-1). Let b = 89 + i. What is the remainder when b is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -3205?\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 8:40 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 + 2*b**3 - 3*b**3 - 2*b**2 + b**3 - 2*b in the form z*b**2 + n*b**3 + o + y*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**5\/110 - r**4\/66 + r**3\/33 + r**2\/11 + 8*r. What is m in x(m) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 5, s: 9, b: 3}. Give prob of sequence sx.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6985603996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 + 181471*c**3\/2 + 5488469406*c**2 + 110651200692264*c - 553393226538720.\nAnswer: (c - 5)*(c + 60492)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55938 by -6.\nAnswer: -9323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 126686*p. Let x(s) = -1012*s**2. What is x(q(d))?\nAnswer: -16241934707152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 - 86*g**2 - 27*g**2 - 30*g**2.\nAnswer: -154*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1926 + -1908. Calculate the greatest common factor of 2682 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10 - 15 + 17 + 3*m**2. What is the units digit of x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, x: 6}. What is prob of picking 2 x?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6180 a factor of 652974770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + 105 + (1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**2 - 26*m**2 - 24*m**2 + 75*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -8) + 11 + (430 - 394).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 40*p - 482. Is j(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18, 2\/9, -25, 5 in decreasing order.\nAnswer: 18, 5, 2\/9, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 + (0 - 2 + 3)*(-4 - 2 + 0))*(26 - 26 + 18*d).\nAnswer: -144*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36099 and 10269.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52.83198 millennia?\nAnswer: 52831.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/((-3)\/(180\/4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*s - 83 + 83.\nAnswer: 375*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 - 10*x**2 + 0*x + 0*x.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 132156326?\nAnswer: -132156325.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzwzzz?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 6) to base 8\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-1)\/(4\/(-8)). Let r(q) = -3*q + 1. Let z be r(2). Let i = g - z. Solve 0 = -i*v - 0*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-161)\/(-8) - (-4)\/(-32). Suppose -g*y = -2314 + 234. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*h - 16 = 0, -8*y + 8 - 12 = 5*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1875, -6, -120 in ascending order.\nAnswer: -1875, -120, -6, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.79 - -2.66. Let t = l - 0.831. Round t to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15877821 is divided by 2710.\nAnswer: 2641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*a - a + 289 = 0, 3*j + 421 = 5*a. Let d = -77 - j. Suppose -3*i + 2*s + 35 = 0, -i - 2*s + 3 = -6. What is the highest common factor of i and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/841752 and -73\/142398.\nAnswer: 246633336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 54*c - 1132. Determine o(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 + 29*t**2 + 128*t - 924. Determine u(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79594.11 millennia to months.\nAnswer: 955129320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -61. Let i(n) = 32*n - 1 + n**3 - 30*n - n**2 + n**3 + 4*n**2. Determine i(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1460*p + 1455*p = -71495. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202751424 by 1877328.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 163436087 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(5 - (-68)\/(-14)) + (-10332)\/656)\/(-1)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3)*(-2)\/(-4). Suppose -2*h + 1 + 3 = p. Let u = -59\/612 + 2\/153. Sort h, u, 1 in decreasing order.\nAnswer: h, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313*w**2 + 24535*w**6 - 24126*w**6 + 43*w**2 - 212*w**2 wrt w?\nAnswer: 49080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 = 20, 0 = 3*k + 3*l + 15. Let g be k*(-1 + -2)\/3. Suppose -3*v + 4*d = -26, 9 = -3*v - 3*d - g*d. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255622556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*(65\/(-10) - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 840, 0, 20, -36.\nAnswer: -36, 0, 1, 20, 840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 28 = -2*w - 2*w, 21 = 3*w - 5*a for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 204195*1\nAnswer: 204195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/3, -32474, 0.1 in increasing order.\nAnswer: -32474, -20\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(288)*3 - -3*((sqrt(162) + -2*sqrt(162))**2 + sqrt(162) + sqrt(162)).\nAnswer: 18*sqrt(2) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26873, 53819, 80765?\nAnswer: 107711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -25502, -0.07 in decreasing order.\nAnswer: 3\/7, -0.07, -25502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**6\/25 - t**5\/5 + 3*t**4\/10 - 2*t**3\/15 - 15*t - 2. Let m(j) = 0. What is j?\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 = -z, 3*z + a = z. Suppose -2*n = -u + 32, u - 2*n + 24 = z*u. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221616 divided by -81?\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*p**4 + 997*p**3 - 44365*p**2 + 588771*p - 244260 = 0. Calculate p.\nAnswer: 3\/7, 23, 59, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4 + q + 10 + 0*q - 17. Suppose 2*h - 3 + 15 = 0. Let v = 3 + h. Let g(a) = -1. What is v*g(m) + c(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-115*r + 115*r - 36*r**2)*(2*r**2 + r**2 - 2*r**2) in the form t*r + y + a*r**2 + f*r**4 + o*r**3 and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(68)*-3*-6)\/(sqrt(4) + 3*sqrt(16) + sqrt(16) + sqrt(4) + (sqrt(20)\/sqrt(5)*-1 - sqrt(4))).\nAnswer: 4 + 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5.1. Let t = -1.1 - r. Let z(o) = o**3 - 23*o**2 + o - 22. Let h be z(23). Is h greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:03 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582.051 micrometers in nanometers?\nAnswer: 1582051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-14)*16\/(-6). Find the third derivative of -4*g**6 - 4*g**6 + 6*g**6 + t*g**6 + 3*g**2 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 + 95*s**2 + 446*s - 71. Determine o(-17).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/2)*r**(-41))\/(((r\/(r\/r**(-2)))\/r)\/(r\/r**(-15\/7))) assuming r is positive.\nAnswer: r**(-509\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 20, -24379.\nAnswer: -24379, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8)*0 - 114\/(-2). Is 58 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 250, 1055 in ascending order.\nAnswer: -5, 250, 1055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*l - 582*l - 54 = 3*s - 1184*l, -43 = 4*s + 25*l for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556335 is divided by 7708.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1.32. Let w = -18 + 17.93. Let f = c - w. What is f rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 24, -3, -215, 3, -2 in ascending order.\nAnswer: -215, -42, -3, -2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/71794 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 108017 + -2?\nAnswer: 108015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.542 + -3.3. Let d = a - 0.5. Round d to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42744 and 936?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539249 and 2402?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.70612 - -0.29388. Which is the closest to -36? (a) -1\/3 (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*u = -96 - 6, 5*c + 4*u = 94. Let i = -184209 - -184218. What is the common denominator of i and (-5 - -2)*6\/c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 43 + (18 - (2 - -6))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 2 - 2)*(3 - 2 + 1)*(18439 - 239*t - 18439)*(2 - 1 + 2) to the form x*t + n*t**2 + h and give n.\nAnswer: 1434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783244 is divided by 891613?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**2 - 2*t - 7. Let m(a) = 5*a**2 - 2*a - 6. Determine 4*k(n) - 5*m(n).\nAnswer: -n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {x: 5, a: 1, f: 3, j: 5, t: 4, z: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*c - 450, -3*c = 2 - 8. Let p be 2\/(-10) - 104\/(-20). Suppose 0 = -0*q - p*q + 155. What is the remainder when j is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 635 - 634.073. Let z = 5875 - 5875.073. Let b = z - l. Is b less than 12\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/14*(105\/(-6))\/(-5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 80 = -11*j - 4*a - 44, -2*j - 122 = 4*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 925606849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 222 = 3*b - 7*b, -5*p = -b + 28. Let f = b - 50. Calculate the common denominator of (f + 490\/(-165))*51 and 63\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -760 + 800. Suppose -m*s = -51*s + 77. Solve s*g + 3 = 6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -55, -1.\nAnswer: -55, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328882 is divided by 164398.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 9:38 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + y**3 + (2*y**2 + y**2 - 2*y**2)*(3*y - 5*y + 3*y) + (3*y - 2*y - 2*y)*(y**2 + y**2 - y**2).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Find the second derivative of -3*z**u - 2*z + z - 2*z wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 4995400*m\/3 + 3119252645000\/3.\nAnswer: 2*(m + 1248850)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k**2 + k - 38. Calculate r(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x*x)**(1\/7)*(x**(-2\/5))**21*(x**3*x**(-1\/4))**16 assuming x is positive.\nAnswer: x**(2517\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 390 + -389. What is the closest to 0.05 in 2, m, 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 115 = -4*g, 291*q + 4*g - 88 = 287*q. Solve 3*u + m = -20, m + q = -5*u - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295 and 29795?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 2*u**2 + 0*u**2)*(-6 - 156 + 64)*(2 - u - 2).\nAnswer: -392*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (41\/2)\/((-100)\/(-200)). Solve 5*q - t + 46 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*v + 101*v + 14*v.\nAnswer: 199*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdy when three letters picked without replacement from {o: 1, y: 10, m: 2, b: 1, d: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {t: 1, s: 3, j: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine fifths of a millennium?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 15*i**3 + 32*i - 32. What is z(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*v - 7*v. Calculate the remainder when 42 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 10*a**2 - 7*a + 1. List the prime factors of z(-10).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 694, 1038, 1380, 1720?\nAnswer: 2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73.979 + -0.021. Let q = u + 74.2. Let t be (-1)\/(-3) - 4\/(-6). What is the third biggest value in 3\/2, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6151950139?\nAnswer: 23, 383, 698371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k - 9. Let r be u(3). Which is the nearest to 0.5? (a) 3 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**3 + 15*y**3 - 87*y**3 - 120*y**3 + 7*y**3.\nAnswer: -166*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18164388 a multiple of 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/15 (b) 44 (c) 0.2 (d) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 120934889*c\/2 + 14625247377442321\/4.\nAnswer: (c + 120934889)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 31*v**3 - 1. Let n(f) = -63*f**3 + 3. Give 5*b(c) + 2*n(c).\nAnswer: 29*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (1 - -1 - (23 + -62 - -37))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80924 > 728327\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5 - 1128*l**4 + 101415*l**3 + 869778*l**2 + 1430784*l + 663552 = 0 for l.\nAnswer: -6, -1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-63 - (-72 - -76))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847)*1 - sqrt(847)))**2*-4.\nAnswer: -3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a week in minutes?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-15)\/((-57)\/(-6) + 4)) - -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b**(-1\/3)*b)\/b))\/b)**34*(b\/b**0)\/(b\/b**6) assuming b is positive.\nAnswer: b**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15746, 31939, 48560, 65609, 83086?\nAnswer: 100991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 424*g + 3054. Determine q(-8).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/55*(82 + (-65 - 2))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/125 and -3 + 0\/(-2) - (-13)\/((-2275)\/(-588))?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6439*z - 8615*z + 30373*z.\nAnswer: 28197*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1634078*v**3 - 2*v**2 - 691*v - 1.\nAnswer: -9804468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 99. Calculate x(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4288610 divided by 830\nAnswer: -5167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 16) to base 4\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f + 13. Calculate c(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**8)\/(t**(-7)\/t))\/((t**(-7)\/t*t*t)\/(t*t**1)) assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(0 - 0 - 1). Let u be (-18)\/15*(-5)\/2. Let g = b + u. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(2\/9)\/w))\/(w*w**(6\/5)\/w))**(-1\/12) assuming w is positive.\nAnswer: w**(-13\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6047\/15 + -403. Let c = 642\/5 - 128. Let m = 29 + -29.1. What is the second smallest value in m, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 78 + 2242*p**3 - 2241*p**3)*(1 + 5 + 4).\nAnswer: 10*p**3 - 710","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (237 - (-102 - -192)) + -24 + (-3 - -2)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042855 rounded to four decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.04 (b) 16 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 118*v**3 + 33608*v**2 - 1511424*v + 5515776.\nAnswer: -(v - 72)**2*(v - 4)*(v + 266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 + -132.7. Which is the second smallest value? (a) -1 (b) j (c) -34 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 64.6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12120 - -121012?\nAnswer: 101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 36819, -2, -918?\nAnswer: -918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16508 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13073114.\nAnswer: 2, 6536557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-90062)\/(-182) + (-2)\/(-13). Is 18 a factor of (-4)\/6*u\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9836497217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*i - 6, 5 = 4*r + 5*i - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*r**2 - 3118*r + 5669*r - 2551*r.\nAnswer: -244*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**2 - 2*b**3 - 15*b**2 - 9*b**3 + 14*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*(-6)\/(-8)*(-48)\/(-135). What is the closest to -7 in -0.05, -0.5, f, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 7:54 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.57 - 0.17. Let g = -5 + 2. Which is the second smallest value? (a) g (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.38 in -0.06, 0.3, -1.5, 3, -0.2, -5.86?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -568?\nAnswer: -3\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j*m**5 + j*m**4 + 6817*j + 44672*m**2 - 130*m wrt m.\nAnswer: 40*j*m**3 + 12*j*m**2 + 89344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 - 8*r - 8. Calculate the remainder when 70 is divided by w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 38 = -11*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*w - 8*w = 30, 4*c - 33 = w. Let o be -2*1 - c\/(-3) - -1. Suppose -o*l = 3*l - 260. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = o - 110, -208*o + 185 = 210*o - 416*o - 5*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 11.\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(17357*l**4 - 17357*l**4 + 674*l**5) - 6 + 5 - 2*l**5 + 3*l**5.\nAnswer: -673*l**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 6*k + 2. Suppose p = -3*i + 4, 5*i + 0*i = 4*p + 35. Suppose i*o - 6 = 0, 4*o = 2*n - 3*n + 3. Give f(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4779981, -9559959, -14339935, -19119909?\n\"Answer: g**2 - 4779981*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 1733*s + 13918. Determine b(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 15. Suppose -w - 5 = -x*o, -4*o + 15 = -3*w - 3*o. Let m be (-5 - w)\/((-2)\/2). Put -5, 4, m in decreasing order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**3\/6 + 15*d. Let t(u) = 124 + 142 - 401 + 135 + 123*u**2. Give t(p(c)).\nAnswer: 123*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6723973 plus 0.32?\nAnswer: -6723972.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1226128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 18*o + 20. Let j be m(16). Let v be 8\/3*(-198)\/j. Calculate the greatest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -600, -1199, -1798, -2397, -2996?\n\"Answer: -599*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 310716339 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 3 + 1 + l. Let j be d(2). Let h = 5 - j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - b)*(-2*b**2 - 4*b**2 + 5*b**2) - 15*b**3 + 6*b**3 - 2*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*o + 2*h, 3*o + 3*h - 23 - 19 = 0. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Suppose b*a = 3*a - 13. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p. What is p rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-10))\/(1\/(-5)). Factor -4*o**d + 0 - 21\/2*o**4 + 2*o**2 + 0*o.\nAnswer: -o**2*(3*o + 2)*(7*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/(m\/m**(-3\/2)))*m*m)\/m)\/(m\/m**(-7)))\/((m*(m**(-1)\/m)\/m)\/m*m*m*m**(2\/15)))**(-20\/7) assuming m is positive.\nAnswer: m**(218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - x = 327, -2*x + 3*x = 5*y - 545. Calculate the remainder when y is divided by (-30)\/10 + 19\/((-152)\/(-176)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65661.79ml to litres.\nAnswer: 65.66179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 14 - 14 + 7 - o + 6*o as f*o + v and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 166*k + 79. Is j(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38390517 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/9989 - -64231\/39956. Let t = 2991391811\/891924 + -31\/81084. Let x = -3353 + t. Find the common denominator of x and q.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/15 - (-38)\/6. Suppose v - 15 = i*v. Let q(h) = -h**3 + 2*h**2 + 3*h - 1. Let j be q(2). Sort j, v, 4.\nAnswer: v, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16836.\nAnswer: 2, 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33964 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14094)\/1078191)\/(1\/1).\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28452771*0.2\nAnswer: -5690554.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0778737 millennia to decades.\nAnswer: 7.78737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -301302 (base 4) to base 7\nAnswer: -12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.14 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 1714, 4603, 8694, 13987, 20482?\nAnswer: 28179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbo. What is prob of sequence bo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 3. Let o(d) = -d - 1. Let j(c) = 17*o(c) - 6*t(c). Let z be j(-1). Is z smaller than -1\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*10*(-168)\/(-770)*(-36)\/54\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117 - 117 - 29*n**4 + 0*n**2 + n**4 + 0*n**2 + (n**2 - n**2 + n**3)*(0*n - 4*n + 2*n) to f + x*n + m*n**2 + d*n**3 + j*n**4 and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94296054.\nAnswer: 2, 3, 37, 424757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - d + 108 = 0, -5*r + 0*d + 160 = -5*d. Let z = r - 36. Let n be (3\/5)\/(8\/10). What is the fourth smallest value in n, 4, z, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 9*h - 147, 5*h = 114*c - 113*c + 35 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3\/68)\/(216\/(-288))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, -429, -1275, -2091, -2871, -3609, -4299?\nAnswer: -4935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -423 (b) 2\/11 (c) 3 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by (-10)\/33*-159 + (-16)\/88?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together -190046.977 and -2.\nAnswer: -190048.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 3. Let c(f) = -3*f + 867. Give k(c(o)).\nAnswer: -15*o + 4332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4194\/(-1296) + 33\/88 and -59\/1311.\nAnswer: 15732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304.94 - 305. Which is the closest to p? (a) 5 (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 533448 times 6\nAnswer: 3200688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-42)\/(-20))*(378 - 379)*-5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + 1*-5*(3*sqrt(153)*-1)**2)*-6.\nAnswer: 41281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d - 2*y, y + 3 = -d + 8. Suppose d = 2*v - 84 - 2. Let w = -10 + v. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/24 and -65\/124876.\nAnswer: 749256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 8*z**2 - 8*z + 10. Let u be x(-8). Let r be -5*2\/(-25) - u\/10. Which is the nearest to -1? (a) -0.2 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 14) to base 4.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -192*j**3 + 3*j**2 + 38*j. Let b(d) = -385*d**3 + 7*d**2 + 77*d. Let h(g) = -3*b(g) + 7*k(g). Find the second derivative of h(y) wrt y.\nAnswer: -1134*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50937 (base 10) to base 11.\nAnswer: -352a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 16799*i - 6 + 10 - 3)*(-2 + 0 + 0).\nAnswer: 33598*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(6\/7)*g\/((((g*g**(-9))\/g)\/g)\/g))**(3\/2)*(g*g*g\/g**(-1\/8)*g*g)\/g*g*g**3*g**7\/g**(-7) assuming g is positive.\nAnswer: g**(2319\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**2 - 5*f - 13. Let b(d) = 27*d**2 + 20*d + 53. Let r(m) = -2*b(m) - 9*h(m). Let g(j) = 14*j**2 + 8*j + 17. Calculate -5*g(p) + 8*r(p).\nAnswer: 2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y + 2. Suppose 5*i + 5 = -4*x, -2 = 2*i - 0. Let p be h(x). Find the third derivative of -7*s**4 - 26*s**p + 2*s**4 + 30*s**2 wrt s.\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/108 and 119\/1404.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/22338 and 93\/32?\nAnswer: 357408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0 + 2*p - 2*p**2 + 11\/96*p**4 + 1\/8*p**3 + 1\/30*p**5. Determine q, given that a(q) = 0.\nAnswer: -1, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 1080483*m**3 + 97350136896*m**2 - 11375180089884*m.\nAnswer: 3*m*(m - 180022)**2*(m - 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1361*n. Let c be o(4). Suppose 2*k + c = 4*y, -3*k = -2*k. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k + 31*k = -5*f + 1, 0 = -49*k + 20*f - 216 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*(f\/(f*f**(-1\/7)))\/f)\/f))\/((f*f\/(f\/(f\/(f*(f**0\/f)\/f))*f))\/f))\/(f**(-1\/20)*f**(3\/7)*f) assuming f is positive.\nAnswer: f**(-73\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2507*l**3 + 2247*l**3 + 8237*l**3.\nAnswer: 12991*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3557, -7114, -10671?\n\"Answer: -3557*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -372 + 371.9831. What is b rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11312674 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + q + 53. Let c(r) = 4*r**2 + 2*r + 54. Let p(g) = -4*c(g) + 5*k(g). Let b(u) be the first derivative of p(u). Give b(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66544? (a) 6 (b) -5 (c) 0.1 (d) 1\/4 (e) -2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-24))\/((-1)\/132). Let w = u - 55. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37.6872 and 1090705705?\nAnswer: 1090705742.6872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2394 and 163\/180.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 108 = -15*x. Solve 1 = o, -x*h = 2*o - 12 - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 472 + 175 = 5*b, 4*n = -3*b + 369. Let v = b + -74. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18*t. Let c(h) = -3*h. Let r(q) = 21*c(q) - 3*y(q). Let k(f) = 2*f**2 + 96*f. Determine r(k(j)).\nAnswer: -18*j**2 - 864*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l**2 + 2*l**2 - 2*l**2)*(-4 + 1 + 1) - l + l - 2*l**2 + 1119 - 1119 - 373*l**2)*(-4*l**3 - l**3 + 3*l**3).\nAnswer: 742*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/((-18)\/(-729)). Suppose -4*s = -u - 36 - 10, -3*u = 4*s - y. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1783667949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-220))\/((-3)\/5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 7. Let t(h) = 4*h - 44. Let w(n) = -2*s(n) + t(n). Determine w(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(h**2 - h**2 + 2*h**2)*(14*h**2 - 64*h + 64*h).\nAnswer: -56*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) + (-246)\/10 + 0. Let p be d - (-3 - (-3 - 2)). Do p and -26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooppooppop. Give prob of picking 3 p and 1 o.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 31*k - 182. Let v be q(9). Solve 7*a - 132 = -v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5185 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -1\/12*i**4 + 0*i**3 - 45*i**2 + 0*i + 0. Let b(g) = g**2 + 2*g**2 - g**2. Determine u(b(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**4\/4 - 32*h**3\/3 - h**2 - 60*h - 465. What is a(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 30*f + 29. Let t be y(13). Let c = t + 734. Calculate the lowest common multiple of 20 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 61. What is the fourth smallest value in 5, 2\/13, y, -1.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037173?\nAnswer: 223, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3123002032 (base 4) to base 10\nAnswer: 897166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/3)\/((-260)\/(-624)). Let q = 2 - -1. Let w be (-5)\/2*2*-3. Sort g, q, w in decreasing order.\nAnswer: w, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/120)\/(2 + 28\/(-5)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*z + 12, 3*x - 4 = 2*z - 3*z. Suppose 4*c = 2*i + 148, 4*c = -z*i - 0*i + 136. What is the least common multiple of c and (-14)\/(-35)*15\/1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -259, -245, -223, -193, -155?\n\"Answer: 4*k**2 + 2*k - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1603 and 1832.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 0, -9, 7, -1 in increasing order.\nAnswer: -9, -1, 0, 7, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -70 + 0*z**2 + 2\/5*z**4 + 0*z + 4\/15*z**3 - 12\/25*z**5. Let t(k) = 0. Calculate k.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 at least -47850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k + 2*k + k + 3*k**3 + 5*k**3 in the form i + p*k**2 + t*k + o*k**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l**2 - 14*l + 14. Let s(y) = -10*y**2 - 12*y + 12. Let b(u) = 6*q(u) - 7*s(u). Let k(d) = -2*d + d + 0*d. Calculate k(b(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13023942 divided by -6.\nAnswer: -2170657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 36 = 4*f. Suppose -4*d - f*d = -288. Find the second derivative of 10*p**3 - 2*p**3 + 8*p**3 - d*p + 33*p wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t - 11. Let a(v) = -26*v + 32. Let n(b) = 6*a(b) + 17*g(b). Does 20 divide n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1044 (base 6) to base 2\nAnswer: 11110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j + 6*j + j**3 + 0*j**2 - 2 - j**2 + j in the form y + s*j + u*j**3 + c*j**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/10 (b) 3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 0 - 24\/(-3). Let z = 12 - p. Suppose -z*m + 76 = -1512. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 438426.\nAnswer: -306898.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = h + 3*k, -h + 5*k - 52 = -2*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -184. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:40 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 54*q - 282. Give k(3).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 633? (a) 2\/9 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3052 - -1?\nAnswer: 3053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9900, -19799, -29696, -39591, -49484?\n\"Answer: g**2 - 9902*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 278, 362, 536, 830?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2. Let w(z) = 2*z**3 + 6*z**2. Determine 14*h(k) + 2*w(k).\nAnswer: -10*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 192092 and 212 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*12\/(-8)*(-441)\/(-98)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/520*60\/68.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 18 = 4*m - 17, -5*n - 4*m = -5. Let t(z) = -z + 4 - 5 - 1. Let c be t(0). Sort c, n, 9 in decreasing order.\nAnswer: 9, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1573) - 2*sqrt(1573)))**2.\nAnswer: 25168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2\/9 + 9919594*v\/3 - 14879390\/9 = 0 for v.\nAnswer: 1\/2, 7439695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (3 - 0)) + (-858)\/(-209).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-974)\/7 - (-5)\/35. Let u be l\/(-6)*8*6\/4. Round u to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9474013 meters?\nAnswer: 947401.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (207\/45)\/(6\/((-60)\/12*-6))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 246451 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*v - 98*v + 30. Solve u - 2*s + v = -6, -3*s + 27 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (406\/56 + -7)\/(85\/10)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -23 - (-2)\/2 - 0. Let a = r - -40. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*g, u - 4*g + 4 - 5 = -g + 5 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 6*n - 2. Let s be b(4). Let w be (-33)\/77 - (-25)\/(-7). Let k be (-59)\/(-6) + 1\/(w - s). Solve -2*d = -5*f + 28, -d - 6 - k = -3*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 126310556 and 1026392.\nAnswer: 127336948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3428945 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103022011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 + 6*v + 7. Let p(r) = 2*r + 24. Let m = 54 - 64. Let k be p(m). Let z(w) = -3*w**2 + 5*w + 6. What is k*c(s) - 5*z(s)?\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-77)*((-7)\/22)\/(-1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-56)\/(28\/(13 + -20))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7307*i**2 + 3416 wrt i.\nAnswer: -14614*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/3 - (-10)\/2. Suppose 0 = 3*h + z*w - 8, -3*h + 35 = -8*h + 3*w. Put 11, -3, 2, h in decreasing order.\nAnswer: 11, 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1399 divided by -60921.\nAnswer: -1399\/60921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -116932.5262 to the nearest one hundred.\nAnswer: -116900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4913 + 4933. Is z less than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45688501 less than 1128?\nAnswer: -45687373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77097 + -39266. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 12 = -6*b. Let y(f) = -3*f**2 + 4*f + 6. Let j be y(b). What are the prime factors of (4\/(-2))\/(4\/j)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -907421 divided by 12?\nAnswer: -907421\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttkttkttkttttttttt. Give prob of picking 2 t.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvj when three letters picked without replacement from vmujujmmjmuummv.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*c = 6287, 0*c - 31471 = 5*n + 3*c. Let g = n + 138471\/22. What is the common denominator of 59\/6 and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, 1, -0.108?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 = -2*r, 3*r + 12 + 17 = -5*w. What is the units digit of 94 + -1 + (-16)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -270508 + 5?\nAnswer: -270503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i*m*n - 11*i*n**2 - 68*i + 17*m*n**2 wrt m?\nAnswer: -5*i*n + 17*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1419885 divided by 283977\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -43, 0, 2\/5, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8 - 2607*g**3 + 2569*g**3 - 2.\nAnswer: -38*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 2\/9 (c) 0 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-14 - -1) + -4 + -18.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-438)\/1241)\/((-40)\/34))\/((-30)\/(-8))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 530 + -365. Suppose 0 = -4*m - i + 209. What is the remainder when 27 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2052 and 9?\nAnswer: -18468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-2)*(-12)\/(-9). Let w(l) = 22*l**3 + 8*l**2 + 10*l. Let k(d) = d**4 + d**3 + d**2 + d. Let j(p) = b*k(p) + 2*w(p). Factor j(s).\nAnswer: -4*s**2*(s - 1)*(5*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Expand 2*w**3 + 2*w**2 - 2*w**2 + (-4 + 4 + 2)*(2*w**2 - 2*w**3 - 2*w**2) - 25*w + 35*w**3 + 25*w.\nAnswer: 33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.395. Let r = 0.005084 - a. Round r 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 4.71935 millennia?\nAnswer: 56632.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3 + 3. Suppose 4*g + 5*t + 16 = t, 5*t + 20 = s*g. Solve g = -5*z + 3*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 314, 308, 300?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j**2 + 13*j + 54. Let y(m) = -3*m**2 + 3*m + 14. Determine -2*k(z) + 9*y(z).\nAnswer: -5*z**2 + z + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 3*r**2 + 4*r + 3. Let j be l(-3). Let q(u) = -6*u - 11. Let m(v) = -2*v - 1. Let b(h) = -2*m(h) + q(h). Determine b(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.89 - 18978909459\nAnswer: -18978909437.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z = -321*z + 1208922. Is 44 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -10*i**4 + 56*i**3 + 654*i**2 - 3668*i - 1568 = 0.\nAnswer: -8, -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 24. Let t(v) = -v - 10 + o*v - 6*v**2 + 2*v - v**3 + 0*v**2. Is t(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + -6*-2*sqrt(1377) - (sqrt(1836) + 1*sqrt(1836))\/(sqrt(3) + sqrt(27)*3).\nAnswer: -2 + 534*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 112) + -3748 + 3772.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**2*o**3 + 84*c**2 - 13*c*o**4 - o**3 + o**2 - 2 wrt o.\nAnswer: 30*c**2 - 312*c*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 245 + -245.232. What is the nearest to 1 in h, 1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from osmmttvi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 - 44*u + 16. Let z be a(-6). Calculate the greatest common factor of 96 and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = 14*z + 246. Factor z*w + w**3 - w**2 - 37*w - 401 + 405.\nAnswer: (w - 2)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 180*f - 62. Is q(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.2 rounded to the nearest ten?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose 5*l - 9 - 11 = 0. Suppose -l*g + 3*g + 4 = 0. Calculate the least common multiple of w and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39215901 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*x**4 - 14*x**4 - 14*x**3 - 75*x**3 - 7606*x - 3*x**4 - 9*x**2 + 28*x**4 wrt x?\nAnswer: 12*x**2 - 534*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 + -37.2. What is q rounded to 0 dps?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 1, b: 3, d: 1, w: 2, l: 1}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*f = 4*x - 1, -2*f = -4*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103\/(-170259)*29*-19.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6973 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 4, 2*m + 2*y = 1398 - 1374 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 648 = -13*z. Suppose 3*g + 2*d + 19 = -3*d, -5*g + 4*d - z = 0. Which is the second biggest value? (a) g (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.566552373 + -3.35\nAnswer: -6.916552373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -15\/2659?\nAnswer: -15\/2659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -1\/15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/6, 3\/7, 2, -3\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-4)*3\/7. Let v be (4\/5)\/((-22)\/55). Let b be ((-14)\/4 - -2)*v. Put 4\/9, b, y in decreasing order.\nAnswer: b, y, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*f + 9. Let w be (20 + 3)\/(f\/(-2)). What is the common denominator of 0 + -1 + w\/24 and 85\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**9\/h)\/h)\/h*h*(h\/(h\/h**(6\/7)))\/h*(h**2)**(1\/56))\/(h**(-2\/7)\/h*h**5)**(7\/5) assuming h is positive.\nAnswer: h**(237\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -3*v**3\/2 - 315*v. Suppose -3*z - 9 = -2*a - a, 5*a - 3 = 2*z. Give m(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39492599 and 2218.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 665, 655, 633, 593, 529, 435, 305, 133?\n\"Answer: -g**3 - 3*g + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 11.5355.\nAnswer: 23.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/4))**(-14) assuming v is positive.\nAnswer: v**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4726 - -4728. Solve 223*w - 220*w = x*o + 10, -2*w + 5 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -32. Let y be 595\/224*(-4)\/(-3). Let f = -23\/8 + y. Sort f, p, -2\/5 in decreasing order.\nAnswer: p, f, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2078418, -2078428, -2078438, -2078448?\nAnswer: -2078458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335*i**4*k - 16*i**4 - 2*i**3 + i*k + 37*i + 4*k - 4 wrt i.\nAnswer: -4020*i**2*k - 192*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 96\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + -2 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 6:14 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 566 + -560.4. What is z rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36078, 37148, 38218, 39288, 40358?\nAnswer: 41428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1161, 1276, 1391, 1506, 1621, 1736?\n\"Answer: 115*b + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 40. Let h = o + 26. Suppose 5*g = 5*l + 60, 5 = 4*g + 3*l - 29. What is the lowest common multiple of h and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (59\/3)\/((-485)\/(-291)) + -11. Let q = 4 - 9. Let r = -3 + 5. Which is the smallest value? (a) k (b) 0.2 (c) q (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -63, -165, -321, -537, -819?\n\"Answer: -w**3 - 18*w**2 + 7*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 173, 162, 151, 140, 129?\n\"Answer: -11*a + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -149*l - 24707. Let v be m(-166). Let i(q) be the second derivative of -q**3\/2 - q. Let w(n) = 21*n. Give v*i(j) + 4*w(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-18))\/(565180\/(-145332)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -15. Suppose 3*f + 30 = 6*f. What is the greatest common factor of x and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/(-48) + 5 - 8\/(192\/9).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.45028 or -2?\nAnswer: -0.45028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/4 - 3833*z**4\/4 + 1497175*z**3\/4 - 156107063*z**2\/4 + 76934482*z - 38281052 = 0.\nAnswer: 1, 212, 3407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-8))\/((-2)\/24). Let l(u) = u**3 + 6*u**2 - u - 4. Let q be l(p). Find the third derivative of 6*d**6 - 3*d**6 - 3*d**2 + 2*d**q wrt d.\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j)\/j**(14\/3) assuming j is positive.\nAnswer: j**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 448 + -447.627. Let l = -0.073 + i. Let w = 3 + -2. Which is the second biggest value? (a) w (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 22 = -3*o, 22*o = -3*p + 26*o + 14. Let l be (12\/6)\/(p\/15). Solve -16 = -l*s + 7*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2806812.\nAnswer: 2, 3, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 7:20 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 87244.18 nanometers?\nAnswer: 0.08724418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -440, -713, -1006, -1325, -1676, -2065, -2498?\nAnswer: -2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1831 - 1681. What is the smallest common multiple of 2850 and d?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134349 = -4662*s - 140709 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 45. Suppose d = 3*t + 16. Is -3 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 203874, 815495, 1834864, 3261981, 5096846, 7339459?\n\"Answer: 203874*t**2 - t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204 - 82. Suppose 136 = 7*r + j. Solve s = r*u - 4*u, -5*u + 2 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379110?\nAnswer: 2, 3, 5, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wts when three letters picked without replacement from {w: 1, t: 1, z: 1, g: 1, s: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 2*z**3 + 12*z**2 - 7*z**2 in the form r*z**2 + o*z + j + b*z**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 1, c: 6, b: 1, m: 2, r: 4}. Give prob of sequence rq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l - 4*l. Let k(d) = d + 7. Let x be k(l). Suppose x*q = q. Solve -2*c = g - 9, -c - 3*g + 12 = -q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 11*d + 24*d - 16 = 11*d, 0 = i - 5*d + 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 62.8392 and 22.0863871.\nAnswer: 84.9255871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*c**5 + 29*c**5 + 19*c**2 + 44*c**2 wrt c.\nAnswer: 9660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -36d?\nAnswer: 35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.38*6.5489.\nAnswer: 87.624282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-35))\/((-18)\/15)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.64266 nanoseconds in milliseconds?\nAnswer: 0.00001064266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*z + 4*w + 81, 4*z + 4*w + 176 = 0. Are z and -63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d = 4*b + 48*d - 134, -b + 5*d = -29 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2. Let f(p) be the third derivative of -7*p**4\/24 - 3*p**2. What is f(q(t))?\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -274*u**3 - 847*u wrt u?\nAnswer: -1644*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 5*t - 11. Is g(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/6 (c) -629 (d) 0.3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -10*r**3 + 13121. Let v(i) = -70*i**2. Give d(v(m)).\nAnswer: -147000*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -457 + 444 + (1 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 297 + -241. Suppose 0 = 2*u - 80 + z. Solve 15*r = u*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 456 and 30.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3, 586, -0.97?\nAnswer: 586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {g: 1, i: 1, k: 3, x: 1, o: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120642747.42 rounded to the nearest 10000?\nAnswer: 120640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m - 4. Does 11 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-1647)\/108)\/(3\/(99 + -3))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3153 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25282*a**2 - 24777*a**2 + 11*a**3 - 10*a**3.\nAnswer: a**3 + 505*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 * -13.\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18099 > 18097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*a**2 + 9*a + 10*a**2 + 0*a - 46*a**2 + 4*a**2 as d*a + r*a**2 + l and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.4 (c) 126 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 30 = -o, u - 9 = -4*o + 6*o. What is the greatest common factor of 136 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*s - 7. Suppose -s + 15 = 4*w. Suppose 0 = -4*y + w*d - 3, -y + 2*d = -6*y + 25. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 387 - -220071?\nAnswer: 220458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16490\/9 or -1832?\nAnswer: -16490\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17252492137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*d + 176, 4*d - 8*d + 178 = 3*f. Solve -21*g**2 + 36*g**2 - 17*g**2 - f + 75*g - 15*g = 0 for g.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10529 + 10569.115. Let t = 63.9 + -103.9. Let k = j + t. What is k rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -68*h + 74. Give j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(99)*5 + 0 + (sqrt(99)*-3*-6 + sqrt(99))*1)**2.\nAnswer: 57020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001022010201 - -100?\nAnswer: -2001022010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30*-5\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.623 * -0.01.\nAnswer: -0.00623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((352\/(-80))\/((-4)\/1))\/((-384)\/(-320))\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0 + 1 - a**2 - a + 3. Let x be r(-3). Sort x, -0.08, 1.\nAnswer: x, -0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*2*sqrt(325)*-1 - ((sqrt(325)*2)**2*-1 + sqrt(325) + -2)) + 3.\nAnswer: 25*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*c**3 + 43813*c**2 - 3175181 wrt c.\nAnswer: 180*c**2 + 87626*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -32*y**3\/3 - y**2\/2 - y - 116. Determine x(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2. Let p(j) = -20108037*j. What is r(p(m))?\nAnswer: 404333151993369*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100000434 (base 5) to base 15.\nAnswer: 59d2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 9*u - 734. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2533 + -2533.2. Which is the closest to 0.1? (a) -0.3 (b) -102 (c) -0.5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + i + 41. List the prime factors of a(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = -230. Let y = -14 - -26. Calculate the remainder when z is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -1, -h + 5*h - o - 67 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/90)\/(((-39)\/56286)\/13). Let o = a - 833. What is the common denominator of o and 0 + -1 - 112\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(1 - 0) + -6. Let v(q) = q**2 - 2*q. Let c be v(p). Suppose -3*u + 5 = 5*r - c, 4*u - 75 = 3*r. What is the remainder when 28 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Let z(g) = 4*g + 3. Let n(d) = 4*d + 8. Let r(w) = 3*w + 9. Let l(j) = 4*n(j) - 3*r(j). Determine i*l(v) - 5*z(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*k + 7 = 0, h - 2*k + 2 = 5*h. Solve -3*w**5 - 48*w**3 + 48*w + 3*w**2 + 3*w**h + 21*w**4 - 48 + 18*w**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124.5 + 127. Let g = 6.7929684 + -4.29297. Let a = g - s. What is a rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/((a**1*a*a)\/a))**(2\/3))**(-7\/3))**(4\/7) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 119671214 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 516 = -4*d. List the prime factors of d.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121103 (base 4) to base 11\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-9 - -4 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 + -178. Let u be ((-6)\/(-15)*1)\/((-3)\/c). Is u less than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -112*x**3 + 6*x**2 - 7*x + 17. Let p(n) = 112*n**3 - 5*n**2 + 6*n - 15. Let i(a) = 7*p(a) + 6*z(a). Find the third derivative of i(u) wrt u.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (7 - 9 - (-1 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 571807 and 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -115, -434, -1057, -2086?\n\"Answer: -17*g**3 + g**2 - g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31580 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: Which is smaller: 2837 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/8 - (-3299063)\/244. Suppose 70*k = 44*k + l. List the prime factors of k.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*u = -5*x - 28, -4*u + 1 = -x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5 - 68*h**4 - 20*h**3 + 340*h**2 + 16*h - 272 = 0. What is h?\nAnswer: -2, -1, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -81296, -162361, -243420, -324473, -405520, -486561?\n\"Answer: 3*w**2 - 81074*w - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 88. Let v(f) = -2*f. Calculate v(u(g)).\nAnswer: 2*g - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or 456?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 2*n)*(-2 + 1 + 0) + (-3 + 0 + 7)*(0*n - 2*n + 3*n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(44*q**3 - 106*q**3 + 262*q**3)*(-q - q + q).\nAnswer: -400*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9617.81 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from kxuanxnuskxx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19\/8, 3, 2\/11?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 25, -3, 5 in ascending order.\nAnswer: -3, 0, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + (-24)\/18. Suppose -3*j + 4 = j + 2*s, -4*j - 5*s - 2 = 0. Put f, j, 0 in descending order.\nAnswer: j, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3860400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3 - 2261*w + 1152*w + 1144*w + 3. Calculate c(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-7)*(u*u**(-1\/6))\/u*u*u*u**(-10)*u*u**(-5) assuming u is positive.\nAnswer: u**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -301 + 303. Let v(n) = 43*n**o - n**3 - 85*n**2 + 8 + 36*n**2 + 2*n**3. Determine v(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93896372 - 0.3?\nAnswer: -93896372.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 0 + (-4485)\/(-135) + 6\/(-27).\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/13, 5, -6\/5 in increasing order.\nAnswer: -6\/5, 4\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 0*m**2 - 3*m**2 + 3*m - 3*m - 7*m**2 - 4 + 4 + 2*m**2 + (-m + m - m**2)*(-1 + 4 - 5) - 2*m + 4*m**2 - 1 - 1 + 4*m.\nAnswer: -m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 7*x**2 - 2*x**2 + (-2*x + 2*x + x)*(3*x - 3*x - x) + 0*x**2 + 5*x**2 - 3*x**2 + 3*x + 2*x**2 - x + 0*x**2 as k*x**2 + i + t*x and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/11 in -5, -26\/51, -3, 0?\nAnswer: -26\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 1:55 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12231400 (base 5) in base 9?\nAnswer: -188435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.9 - -0.9. Let f = v + 48.7. What is the second biggest value in f, -7, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = 0, -206 = -5*f + 6*m - 2*m. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -11) + 9 - (15 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-7 + -3 + 4)) + 57 + 319 + -321?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 893182.11 rounded to the nearest ten thousand?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148*c**2*n + 13075*c**2 + 34*c*n wrt n.\nAnswer: -148*c**2 + 34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 77*q - 10. Let y be f(5). Let n(a) = 13*a**2 - 2*a. Let x be n(-1). Suppose -z + 4*z - y = 5*h, x = 5*h. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50180*r**3 + 24*r**2 - 6569918 with respect to r.\nAnswer: 150540*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -3, -1\/3, 2\/93, -2\/65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j - 2*j)*(209 + 215 - 430 - 185*j).\nAnswer: 370*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 3*j**4 - j + ((24 + 2 - 175)*(-3*j**2 + 4 - 4) + 5*j**2 - j**2 - 3*j**2)*(-2*j**2 - 2*j**2 + 2*j**2).\nAnswer: -899*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(4*g + 0*g - 6*g) + (-6*g - 6*g + 0*g)*(5 - 3 - 3).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a\/a**(3\/8)*a**(4\/7)\/a**(-1\/3))**(-20) assuming a is positive.\nAnswer: a**(-7165\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 970\nAnswer: 1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 8*i + 2. Let a be l(8). What is the units digit of 51 - (2 - a - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*m - 4*m. Let c = 80 + m. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:15 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 4, 1297, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(1\/5)*h)\/h))\/h)\/h**(3\/10) assuming h is positive.\nAnswer: h**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 270663 divided by 11?\nAnswer: 270663\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13631908*p - 13631788*p = 120 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210 - 34*u**2 - 3*u**2 + 244.\nAnswer: -37*u**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 - 104. Let p = z - 75.00039. What is p rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -52. Which is the closest to -0.1? (a) -3 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -41, -37, -13, 37, 119, 239, 403?\n\"Answer: q**3 + q**2 - 20*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + 9. Suppose 8*y = x - 679. Let f = y + 116. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -121*l**2 + 22*l - 8. Let q(v) = 36*v**2 - 8*v + 3. Let b(k) = 3*j(k) + 8*q(k). Let i(d) = -10*d. Give i(b(p)).\nAnswer: 750*p**2 - 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5)**(-2\/53) assuming p is positive.\nAnswer: p**(-10\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5719?\nAnswer: 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 12*r**2 + 14*r + 1. Calculate t(11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3 - 7158*k**2 + 6429600*k - 44657144 = 0. What is k?\nAnswer: 7, 1786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1c347c9?\nAnswer: -1c347c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z\/(z*z\/(z**(-8\/7)*z)*z))\/z*z)\/z)\/(z**(-22)*z*z))**(-41) assuming z is positive.\nAnswer: z**(-5125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/4 - 3469*v**2\/4 - 234216*v - 16490304 = 0 for v.\nAnswer: -3181, -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 11*w**2 + 24. Give d(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*-8)\/8*11\/(-165)*1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) -7 (c) 6\/13 (d) 4 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {e: 4, s: 6, u: 5}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 27*t = 4416. Let y = t - -405. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-16740)*62)\/(2\/(-15)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423 (base 9) to base 14.\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*r**2 + 282*r**6 - 81*r + 81*r + 9*r**2 + r**2 + 7 wrt r?\nAnswer: 33840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 143*t - 4. Let w be a(-4). Let b = -1643\/56 + 201\/8. Calculate the common denominator of 2788\/w - (-6)\/(-27) and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z = -150. Let l = -16 + z. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.151398 + -111.82.\nAnswer: -111.668602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4194.00007084 - -4194. Round f to 6 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99 - -109) + (0 - 16) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.28, -172, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41536, -50800, -60064, -69328, -78592, -87856?\n\"Answer: -9264*u - 32272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 28*q + 32. Let l be m(-1). Suppose 0 = -3*t - 3, d + l*t = 20 - 13. Let i = -9 - -30. Calculate the lowest common multiple of i and d.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6018\/(-162)*(5 + 1). Let o = 379717\/1754 - -12\/877. Let z = o + v. Calculate the common denominator of z and -27\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3883*x + 1338 = -2545*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112693, 225332, 337941, 450508, 563021, 675468?\nAnswer: 787837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**6)\/n)\/n)\/n**(-9\/2)*(n*n\/n**(2\/7))**(-17) assuming n is positive.\nAnswer: n**(-443\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 13696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -2\/3, 5, -2\/115, 0.0398, 0.4, -3?\nAnswer: 0.0398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3984761 and -31.\nAnswer: -123527591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6880752916 and 622.\nAnswer: 6880753538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*h - 341 + 209, 0 = -5*h - 2*p + 178. Sort h, 5, -1, -4 in ascending order.\nAnswer: -4, -1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2926 + -2922. Solve 7*h - j*h + 10 = -5*y, -10 = 5*y - 3*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8914*-0.03\nAnswer: -267.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xosssssss. What is prob of sequence sx?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(320) + 0)**2 - (sqrt(320) + 2*sqrt(320) + 3)) + (sqrt(320) - 3*(sqrt(320) + 5 - sqrt(320))**2 - (4 + sqrt(320)*1 + sqrt(320))).\nAnswer: -32*sqrt(5) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 8, -5, -38, -97, -188, -317, -490?\n\"Answer: -j**3 - j**2 + 11*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/7, 2, 5, -3\/7 in decreasing order.\nAnswer: 5, 2, 1\/7, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 418 divided by -1\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (131 + 239 - 63)*(332 + 16*m - 332) as y + a*m and give a.\nAnswer: 4912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a - 54*a + 25*a)*(-2 + 0 + 5)*(3 + 2 - 1)*(-3*a + 2*a + 0*a).\nAnswer: 228*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -712bc (base 16) to base 11.\nAnswer: -2972a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -887\/2 + 1777\/4. Solve -1\/4*q**2 + 1\/2*q + j = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 211 - -3?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) - -4*sqrt(153)).\nAnswer: 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21010211011011212 - -11?\nAnswer: -21010211011011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(800) + sqrt(8) - ((sqrt(2) + 3)*2 + 1)).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1588 + -1586. Solve 0 = g*h - 11*h + 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 + -1.1. Which is the third biggest value? (a) -2\/11 (b) 3\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -17*a + 23. Let d(z) = 12*z - 15. Let k(t) = -7*d(t) - 5*v(t). What is k(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**5 + 4*u**5 - 5*u**5)*(-3 - 2 + 3) - 3*u**5 - u**5 + 5*u**5 - 1154*u**4 + 135*u**5 + 1154*u**4.\nAnswer: 138*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -3, 0.006, -0.08, 4, -2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 - 445746?\nAnswer: -446000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 23*c + 1 + 0 - 8*c - 4. Let i be u(5). Suppose -2*g + i = r, g - 3*r - 36 = -0*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 7*i - 19. Give j(-4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -37*q - 25*q + 87*q - 32*q. Let r(a) = -72*a**2. Determine r(c(s)).\nAnswer: -3528*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -8899*c + 8905*c. Let v(r) = r**2 + 17*r + 12. Give v(c).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8235 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -620, -1236, -1870, -2528, -3216?\n\"Answer: -a**3 - 3*a**2 - 600*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 8*o**2 + 7*o + 2. Let y be f(7). Let h(b) = -108*b. Let q(t) = -59*t. Let r(v) = -5*h(v) + 9*q(v). Determine r(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 3 + 63371\/(-5775).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**9\/6048 - t**8\/2688 - t**7\/1008 + t**6\/288 - 7*t**4\/4 + 29*t**2. Let h(q) be the second derivative of y(q). Factor h(g).\nAnswer: 5*g*(g - 1)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a066 (base 13) to base 6.\nAnswer: -250034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -17*l - 4. Let m(u) = 2*u. Let s be m(-1). Let r be s\/1 - (-4 - 4). Let b(k) = 4*k + 1. What is r*a(o) + 26*b(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/6 and 736\/(-24)*3*2\/420.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 37*o**3 - 7635*o**2 - 125523*o - 544806.\nAnswer: (o - 114)*(o + 9)**2*(o + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866971783.\nAnswer: 59, 239, 61483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1487, -1356, -1225, -1094, -963, -832?\n\"Answer: 131*f - 1618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 10. Let g(v) = -v. Let w be g(i). What is the second derivative of -p + 6 + 2*p**4 - w - 3 wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-6))\/((-3)\/4). Let z(a) = -a + j + 0 - 3 - a**2 + 2*a**2. Let q be z(-1). Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 164430411851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20, -36, -78, -158, -288, -480, -746, -1098?\n\"Answer: -2*i**3 - i**2 + i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -4*a - 3300. Let q = a + -260. Calculate the greatest common divisor of q and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*2*sqrt(98) + -5 + 1*2*(1*sqrt(98) + 2 + sqrt(98)))**2.\nAnswer: 196*sqrt(2) + 19209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 102*p**5\/5 - 4*p**2 + 2*p + 5. Find the second derivative of o(k) wrt k.\nAnswer: 1224*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 3:55 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 573830 = -2*p + 11*w + 573875, 5*p - 5*p + 2*w + 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from uguee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36969.9 rounded to the nearest 100?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:07 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119378*c**2 + 119375*c**2 - 451*c**3 + 119379*c**2 - 358132*c**2.\nAnswer: -451*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + 11?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -533 or -530?\nAnswer: -533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -52488*d**2 + 985*d - 32. Let g(h) = -125971*h**2 + 2364*h - 76. Let f(b) = -18*g(b) + 43*n(b). What is the second derivative of f(m) wrt m?\nAnswer: 20988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let d(m) = 2*m**2 - 14*m + 169. Calculate d(g(u)).\nAnswer: 8*u**2 + 28*u + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, 5, 28\/697, -9.7 in decreasing order.\nAnswer: 5, 28\/697, -3.3, -9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 6682 = -7*h. Let d = h + -261. What is the nearest to 1 in -1, d, -2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 97*t + 52 + 95*t)*(1 + 0 - 6)*(2*t - 2*t - t**4).\nAnswer: -10*t**5 + 245*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**4\/12 + 4*g**3\/3 - 9*g**2. Let j be p(-11). Let o(u) = u**2 + 15*u + 14. Let c be o(j). Solve c = 3*h - h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 49. Let f(o) = -o**2 + 8*o + 3. Let p be f(5). Let b(j) = 2*j - 32. Let n be b(p). Solve -4*i = 12, y*i + 11 - 2 = n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/2)\/(-36)*(-14)\/(-7)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -241*l**4 - 132*l**2 - 307832?\nAnswer: -964*l**3 - 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -361*j + 156*j**3 - 162*j**2 + 363*j - 152*j**3 + j**4 to l*j**4 + q*j**2 + o*j**3 + c + b*j and give q.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 288 = -60*a + 65*a, -57 = -a + 4*g - 3*g for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + l**2 - 5*l + 24. Let o be k(-3). Suppose -4*u = 5*r - 0 + 2, -5 = 5*r + 5*u. Let g(i) = -4 - 6*i - i**r - 3*i**2 + 3*i**2. Calculate g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 597 = -1035 - 445. Let a = -42 - -66. Suppose 0 = -5*h + 4*h + 3*y + 11, 4*y + a = 2*h. Calculate the remainder when k is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/6 - (-2)\/16*(-13 - -9). Let j(g) = 181*g - 1091. Calculate j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfkpkkkknnkpk. Give prob of sequence nkfk.\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -280006?\nAnswer: -280013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 395*u**2 + 50*u + 306. List the prime factors of f(-5).\nAnswer: 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*n**2 - 372*n**2 + 122*n**2 + 126*n**2 - 63*n**3.\nAnswer: -63*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 181. Let i(m) = 3*m - 1. Let p(g) = 6*g - 2. Determine z*p(f) + 7*i(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.78 take away 0.04721458681?\nAnswer: -3.82721458681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - 2*c**4 + 5*c**4)*(15 + 18 - 6) + 2 + 2 + 8*c**4 - 6.\nAnswer: 89*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(2448)*2 + sqrt(2448))*-3)**2 + 5 + 1)*-5*-5.\nAnswer: 4957350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -3*(2 + -1). Let i(h) = -17*h + 13. Does 31 divide i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 0.1, 1, 6, 84\/11, -34?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126341?\nAnswer: 126341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 22, 38, 58?\n\"Answer: 2*i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-2 - 168)*(-231)\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**6\/3 + 14*p**5\/5 - 6*p**4 - 8*p**3\/3 + 16*p**2 + 522. What is n in m(n) = 0?\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58163435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 2*i - 4\/3*i**3 + 2\/3 + 4\/3*i**2 - 2\/3*i**5.\nAnswer: -2*(i - 1)*(i + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38898)\/10805*(-25)\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/278 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -7*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101920)\/(-1120) - 1*32.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -3*l - 21, -5*l - 7*g - 32 = -11*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h**2 - 49*h + 31. Suppose -f + 3*f = 12. Calculate the remainder when y(0) is divided by 16\/(-3)*f\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183 times 1.4\nAnswer: 256.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*(q**(2\/33)*q*q)\/q)\/(q\/(q**(-6)*q))*(q\/(q**0*q))**(-17) assuming q is positive.\nAnswer: q**(-64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-867704.\nAnswer: -15618672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -436 - -435.9. Let x be 3\/(36\/66) + -3. What is the closest to x in f, -5, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 5*x + 4. Let n(c) = -c**2 + 11*c - 29. Let y be n(8). Calculate r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-90)\/35)\/(-6))\/(-1)*-7. Suppose -l*v = t - 242, -5*v = -3*v. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 minutes after 7:19 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/9 - 358266*r**2 + 4299184*r\/3 - 12897544\/9 = 0. What is r?\nAnswer: 2, 1612193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffjfjff. Give prob of sequence jf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 + 14.7. Let d = -13.76 + p. What is d rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7*(-1)\/(-2))\/((-104362)\/(-208724))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.121 - 1.329. Let p = s - -2.45. Let y = 5 - 7. What is the closest to 0 in p, y, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-20) + (-6)\/((-360)\/82)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*g**2 - 4*g**2 - 24*g**2 + 58*g**2 + 45*g**2.\nAnswer: 123*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*k = 4*d - 2*d + 3, 2*k + 2*k - d - 8 = -7*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 115844114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 1\/2*w**3 + 6*w + 2*w**2 + 0. Let n(s) = -7*s - 7. Let y(h) = -2*n(h) - 5*t(h). Give y(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -131, -134, -139, -146, -155?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -36*k**3 - 1225*k**2 - 34*k + 37. Give r(-34).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.758059057 and -7338.4.\nAnswer: -7339.158059057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946*h - 254853 = -5*u + 950*h, -u - h + 50967 = 0. What are the prime factors of u?\nAnswer: 50969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36090 = 48*i - 63750. What is the greatest common divisor of 480 and i?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 9) to base 11\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54396 - -62661. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1660 + -1662. Which is the nearest to -0.3? (a) -15 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert e70bb (base 15) to base 2.\nAnswer: 10110010110110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 51.4. Let f = 8.5495 + q. What is f rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 - 35164791*p - 35164790 = 0. What is p?\nAnswer: -35164790, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + z**2 + z + 30. What are the prime factors of s(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-248) + 4*3\/32. Let s = -4\/31 - x. Which is greater: s or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -2, -1, 6 in ascending order.\nAnswer: -2, -1, 6, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -o + 41, 2*l = o - 72 + 26. Let x(d) = d**2 + d + 29. Let i be x(0). Suppose z - o = i. What are the prime factors of z?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = 5*v - 212. What is r in -337 - 3*r + 337 + 5*r**v - 3*r**2 + r**3 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - 101011001?\nAnswer: -101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29538338.\nAnswer: 2, 14769169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -294.99999545 + 295. Round k to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3726180 to the nearest integer?\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/315*-9 + (-14)\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-2))\/((c\/(c*c**(-1\/4)))\/c*c))\/c**38)\/(((c*c*c*c**(-2\/7)*c*c)\/(c\/(c\/(c*c**(-1\/2)\/c*c)*c)))\/(c*c**4*c*c**(-4))) assuming c is positive.\nAnswer: c**(-1077\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 6214\/(18\/(-9) - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14823744 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15802 + 30626. Does 136 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {y: 1, b: 1, g: 1, x: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*o + 286 - 2777 = 209 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 461670.8 * 0.2.\nAnswer: 92334.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11642869.\nAnswer: 7, 1663267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 6*j - 5. Let v be w(5). Sort 4, v, -2.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 11. Let v be x(-8). Suppose p + 4*y + 28 = 4*p, p - v*y = 6. Suppose 61*a = 1120 + 6932. Calculate the greatest common factor of p and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 85*s**2 + 115*s - 27. Calculate a(4).\nAnswer: 1793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 117780, 235555, 353330, 471105, 588880?\n\"Answer: 117775*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276862051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 12*z**2. Let a(q) = -q - 33380. Give a(w(h)).\nAnswer: -12*h**2 - 33380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -13, -3 in decreasing order.\nAnswer: 7, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 214912089*d**4 - 265708789 with respect to d.\nAnswer: 859648356*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30778 is divided by 137.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -12347 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 4*o**2 + 5*o + 3. Let g = -914 - -939. Suppose 4*x = 0, 20*b - x + 140 = g*b. What is the lowest common multiple of u(5) and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20250794 rounded to three decimal places?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4*m**2 + 3*l**4*m - 22*l**2 - 31*l*m**2 - 2*l*m wrt l?\nAnswer: -24*l**2*m**2 + 36*l**2*m - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1.1836 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 18 = -18*v - 66 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 28) + 9 - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/1*((-3297)\/168 + 20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 72*a**2 + 651*a + 31. Give m(8).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (4 - -4 - (29 - 21 - 0)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*a + 4 = 0, 0*v - 3*v + 5 = 5*a. Let h(r) = -2*r - 7. Let s = -11 - -6. Let w be h(s). Solve 4*x = 0, 2*y + v*x = w*x + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1588.8 - 1163.1. Which is bigger: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747641577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 10*c**2 + 0*c**2.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90.325 - -91. Let u = h - 0.48. Round u to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*1*(-4)\/(-20)*5. Find the common denominator of 4\/21 and j\/20*570\/54.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/13 (b) -0.5 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhhhhdxhmxxd. What is prob of picking 2 h and 1 x?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17103249 by -1.\nAnswer: 17103249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2436e (base 16) to base 13.\nAnswer: 52694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 0.10954066.\nAnswer: -0.0032862198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-196)\/(-245))\/(16\/60) - (-230)\/(-150)\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + 0 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 12 = -3*k, 68*k - 41*k = -30*f + 32*k - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 66 = 47*o - 1086 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -28*p**3 + 4*p**2 - 13*p - 1. Is q(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*(sqrt(65) - sqrt(65)*-2) - sqrt(65))*4)\/((sqrt(240)\/(sqrt(12) + sqrt(12) + -1*sqrt(12)))\/((sqrt(4) + sqrt(8)\/sqrt(2))*-3)).\nAnswer: 1680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i. Let g(r) = 33*r + 7. Let o(m) be the second derivative of -19*m**3\/6 - 2*m**2 - 185*m. Let x(n) = -4*g(n) - 7*o(n). Give x(y(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x - 2. Let h(i) = 21*i**3 - 5*i + 7. Suppose 2 = 2*y - 2*r, -2*y + 18 = -r + 13. Let n(b) = y*g(b) + h(b). Give n(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(396) - (sqrt(396)*2 + 1) - sqrt(396))**2 + (sqrt(396) + 1*(-2 + sqrt(396)))**2 + -1).\nAnswer: -15860 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 + 12*i + 29. Determine g(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3184\/(-1072) + 1*3. Let f = 0.7 - 0.8. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-4 + 18) - (-11 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44450100 + 22583988. Let f = x + 11576112. What is f rounded to the nearest 100000?\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -218 (c) -1\/4 (d) -0.5 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 308521550*z - 365507665 wrt z.\nAnswer: 308521550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3 - 19. Suppose 0 = 3*h + 5*i - 183, h + g*i = 5*i + 69. Suppose 4*x - 58 = h. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (568\/639)\/((-64)\/(-48))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14747580 divided by 4.\nAnswer: 3686895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 15*h - 84 = -22*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (717*p + 354*p - 557*p + 940*p + 1531*p)*(3 - 3 + p) to d*p + v*p**2 + u and give v.\nAnswer: 2985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 34. Is y at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + v - 1. Let r(a) = 3*a**2 + 10*a - 9. Let p(y) = y**2 + y - 1. Let h(k) = p(k) + r(k). Let o(q) = -h(q) + 6*n(q). Is o(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 96339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:51 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472288?\nAnswer: 2, 139, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*y - 2*y + 21 = 0, 2 = 2*y. Is 58042\/(-16)*-2 - s\/(-92) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 1547655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 281467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.152053212 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 618.4262 milligrams?\nAnswer: 618426.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -897805 divided by 37?\nAnswer: -24265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3340*t - 2315*t - 3 - 2161*t)*(t**2 + 2*t**2 - 4*t**2).\nAnswer: 1136*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 793 + 682. Let g = 485 - z. Let s = g - -15823\/16. Find the common denominator of -37\/40 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0622069 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q - 4 = 0, -u - 2*q = -1458. Let p be (u\/10)\/(-7)*-69375. Suppose -16*h = -13*h - p. What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5*(-4)\/600.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77094520 and 12640.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 - 2*i - 17. Let g(f) = -2*f**2 - f - 6. Let d(s) = 8*g(s) - 3*n(s). Let k be d(2). Is 4 a factor of 2*3\/(-6) - k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4 and -77\/1114502.\nAnswer: 2229004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/1356744 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - o + 2*o)*(-189 - 199 + 459)*(3*o - 2*o + 0*o) in the form s + h*o + t*o**2 and give t.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c - 4926*c**4 + 2467*c**4 + 2458*c**4 + 91*c**2 - 2532 + 15*c**5 wrt c.\nAnswer: 300*c**3 - 12*c**2 + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17.8, 47, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38465416 to the power of 1\/2, to the nearest integer?\nAnswer: 6202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i - 45. Let m(p) = p - 4. Give -4*g(s) + 45*m(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*s - 19, 26 = 5*k - 0*k + 2*s. Let g = k + -2. Suppose g*b + 1 - 9 = 0. What is the greatest common factor of b and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/70704 and 127\/1008?\nAnswer: 494928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -6 + -4 - (-24 - -7)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 + 2*x + 2. Let s be i(-3). Let n = s - 235\/4. Let l = -37 - -37. What is the third smallest value in n, -5, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 + 125. Let r = -4.02 + 0.02. Let w = -5 - r. What is the closest to 1 in o, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 513 - 824 - 1594 + 1014*u + 4*u wrt u.\nAnswer: 1018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*b - 4*m, -33*b + 4*m + 56 = -31*b. Suppose -4*d - 1 = -9. Suppose -1 = -p + y - 5*y, d*p = -2*y - 4. Sort b, 4, p, -4 in decreasing order.\nAnswer: 4, b, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 944, 943, 942, 941?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(6*(sqrt(153) + -1*sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153) + -3*-1*sqrt(153)))\/((sqrt(9) + sqrt(1089)*1 + 1*sqrt(144))*2))**2.\nAnswer: 425\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5, 16 - 5 = -o + 3*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**6\/10 + 33*i**5\/20 - 117*i**4\/4 - 263*i**3\/2 - 204*i**2 + 1385*i. What is n in h(n) = 0?\nAnswer: -17, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -73748 by -3.\nAnswer: 73748\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.053 rounded to one dp?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 618 (b) 46 (c) 0 (d) -8 (e) -1\/3 (f) 0.2 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/7 - 440418*w\/7 + 16164001227\/7 = 0. What is w?\nAnswer: 73403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 2.92?\nAnswer: -0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -251, -352, -525, -770?\n\"Answer: -36*y**2 + 7*y - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k + 20, -932*k + 928*k = -5*a - 122 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225.93 - 226. Let g = -18 + 18.1. What is the nearest to -1 in 0.2, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/7545656 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*g**4\/7 + 42681*g**3\/7 + 10671*g**2\/7.\nAnswer: -3*g**2*(g - 3557)*(4*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/4 (b) 153.6 (c) 0.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -24, -4, 5, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/180)\/((-2)\/3))\/(4\/12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 67. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {y: 13, b: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2*w - 9. Suppose 0 = 3*i + 3 + 15. Is 13 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*b + 4*y, 4*y - 7*y - 15 = 0. Let q(n) = 1 - 5*n**2 - 3*n + 0*n**2 + 2*n**2 - 3*n**2 + 0*n**b + n**3. Calculate q(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**6\/120 - l**5\/10 - 7*l**4\/24 - 5*l**3\/6 - 20*l**2 - 2. Let p be h(-5). Solve p*s = s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m - 50*m = 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 3625580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 101, 121, 159, 221, 313?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 4. Let w be p(4). What is the tens digit of (-2 - -1)*(-2 - w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(320) - (sqrt(320) + sqrt(320)*1 - sqrt(320))) + 4*sqrt(320)*-2)**2.\nAnswer: 384*sqrt(5) + 20489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7066 = 4*b + 68*u - 66*u, 7046 = 4*b + 6*u. Calculate the highest common factor of b and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (72\/60)\/((-2)\/20). Let k(z) = 2*z + 34. Let a be k(s). Let c be 5*(22 + -2 - 0). Calculate the highest common factor of c and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304\/21 + (-9)\/(-378)*-6 - 784\/112\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32405343 and 149808?\nAnswer: 9363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3799.\nAnswer: 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68266813 to the nearest integer?\nAnswer: 8262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -543999*i**2 - 7*i + 6. Let w be s(1). Round w to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22 + 1987*c - 1989*c - 6*c**5 + 0*c**5 - 3*c**3 wrt c?\nAnswer: -120*c**3 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-192 - 34*a**2 + 192)*(0*a - 4*a**2 + 0*a).\nAnswer: 136*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*h - 2*h + 7 = 0, 2*u = 4*h + 8. Solve 5*g = -5*n + 15, 3*g - u - 7 = -n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 57 = 106*a + 4. Sort 115, a, 8 in decreasing order.\nAnswer: 115, 8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143530992811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -12 + (24 - -5) + -27 + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22654053 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**2 + 111*l**6 - 9*l**2 + 33 - 65 + 33 wrt l?\nAnswer: 13320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**3 - 118*a**2 + 31*a - 13. Let m be j(-31). Suppose 0 = -2*t - 3*t - s + m, 2*t - 1908 = 4*s. What are the prime factors of t?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 113. Let l = x + 44. Let t be (-1 + 0)*0*l. Solve t*v + 5*j = 3*v - 26, -v - 5*j = 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 123*d**2 - 741*d + 76520. Determine w(124).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 1, d: 1, v: 1, p: 1}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 635459 and 451.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/625 and 16\/55.\nAnswer: 6875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22104, -22089, -22074, -22059, -22044, -22029?\nAnswer: -22014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*sqrt(1176))\/sqrt(12) - ((sqrt(2) - (sqrt(2) + (-6*sqrt(32))**2)) + -5)).\nAnswer: -1157 - 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 45. Suppose -3*p = 3*x - 9, 3*p + 0*p - 4*x = 30. Calculate the greatest common divisor of v and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18034186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 132987 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -709*k**3\/3 + 1859*k**2 - 2226. What is the second derivative of v(h) wrt h?\nAnswer: -1418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 - 13)*(-a**2 - 4 + 4 + a) to the form d*a + b*a**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + y + 1. Let w(i) = i**3 + 9*i**2 + 9*i + 12. Let a be w(-5). Let l(o) = 4*o**2 - 71 + 2*o**3 + a - 4*o - o**3. Determine l(p) + 4*x(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 16 = 6*i - 17*f, 0 = 2*f - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40839254 not equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 735 + 372 + 4*f + 365)*(-5*f + 0*f - f + (-1 - 4 + 3)*(f + 20 - 20)).\nAnswer: 24*f**3 - 32*f**2 - 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2 - -4) - -2. Suppose -w + 6 = q. Suppose 50 = q*f + f. What is the highest common factor of f and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -460026*y - 497660.\nAnswer: -460026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55647, -56134, -56959, -58128, -59647, -61522, -63759, -66364?\n\"Answer: -u**3 - 163*u**2 + 9*u - 55492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1792, 1325?\nAnswer: 1325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 21*n - 20*n + 11 to g + l*n and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44592, -89141, -133648, -178107, -222512, -266857, -311136?\nAnswer: -355343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5518.\nAnswer: 2, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3069893s in microseconds?\nAnswer: 306989.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/7)\/((-5)\/35). Let c be ((-15)\/a - 2)*10. Let d(m) = -2*m + 5. What is d(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k + 2*k**2 + 7*k + (-3 + 1 + 3)*(2*k**2 - 3*k**2 - k**2) + 3*k - 3*k - 3*k**2 + 0*k**2 - 5*k**2 - 3*k**2 as w*k**2 + n*k + v and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -710*y**2 - 116*y - 3?\nAnswer: -1420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 25. Let m(g) = -g**3 - 2*g**2 + g - 2. Let w be m(-4). Solve 4*r + j = 0, -3*n + 2*r + w = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-45)\/(-27))\/(2\/(-6)). Let d = t + 147. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -191969135*m - 27273370.\nAnswer: -191969135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 228 = 10*r - 2*p, 4*r - 373*p = -368*p - 46 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3061 - 1529 + 5*r - 1533. Let u(x) = -17*x. What is u(m(v))?\nAnswer: -85*v + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 3:03 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -41*q**3\/3 - 9*q**2\/2 + 33. Find the second derivative of g(h) wrt h.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2315 + -2314.9. Sort -5, r, -100 in ascending order.\nAnswer: -100, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0.3. Let h = -0.4 + i. Let d be (-60)\/130*2\/(-6). What is the third biggest value in h, 0, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*b = 985, 4*b = 2*i - 381 - 13. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4\/5 + 436*j**3\/5 - 2436*j**2\/5 - 3764*j\/5 + 5768\/5 = 0. What is j?\nAnswer: -2, 1, 7, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 152*a + 5 + 9 + 4 to f + p*a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -618541?\nAnswer: 618543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 + (-26)\/(-6). Suppose -425 = -k*d + 100. Suppose 4*w = 3*w - j + 54, j + d = 2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024)*-1*6)\/(sqrt(243) - (sqrt(243) + -4*sqrt(243)*2 + sqrt(243))) + -1.\nAnswer: -8*sqrt(7)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1958772 divided by -6486\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7212464474 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.88463ng in tonnes?\nAnswer: 0.00000000000009688463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/40 - (-14)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -34390466 divided by 6182\nAnswer: -5563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*i = -44*i. Let r be (-3)\/4 - (0 + -1). Factor r*a**3 - 1\/2*a**4 + 0*a**2 + 0 + i*a.\nAnswer: -a**3*(2*a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144200300 (base 5) to base 10\nAnswer: -771950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741\/12 + (-1)\/(-4) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - w**2 - 6*w + 5. Let r(g) = 3*g**3 - g**2 - 5*g + 4. Calculate -5*k(c) + 6*r(c).\nAnswer: 3*c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2583*c*d*r**3 - 9092*c*d - 2*c*r**2 + 26599*c*r + 2*r**3 - 198*r**2 wrt d?\nAnswer: -2583*c*r**3 - 9092*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1463, 1569, 1677, 1787?\nAnswer: 1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 641 or -6?\nAnswer: 641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (8 - 8) + (0 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 131, 262, 419, 614, 859, 1166, 1547, 2014?\n\"Answer: 2*g**3 + g**2 + 114*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (7 - (8 + -10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8401 - -22198. List the prime factors of d.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 814 = -754 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 2*m**3 + 23 + 2*m to the form z*m**2 + f + h*m + l*m**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 111. Solve -x = -8*j + 3*j - 29, b*j - 2*x = -28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/44 + (-363)\/44\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 568365 and 2037?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(9\/4))*w**(-2\/15)\/w*w**(-1\/4)\/w*w*w*w\/w**(-14) assuming w is positive.\nAnswer: w**(371\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03499 and -0.08608?\nAnswer: 0.12107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 13 = 3. Let w be j\/(-8)*-4 - -27. Calculate the highest common divisor of w and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4, 5*o + 5*b - 7 = 9*b. Suppose 2*d = -3*c + 7, 717 = -3*c + d + 736. What is the nearest to o in 0.3, c, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 31*v**2 - 68*v - 50. Calculate the remainder when 126 is divided by y(-33).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.2, 290\/7, 0.4, 0.1, -5\/2 in decreasing order.\nAnswer: 290\/7, 7.2, 0.4, 0.1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/3223925 or 1?\nAnswer: -6\/3223925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 439, 3 in increasing order.\nAnswer: -4, 3, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 18 = -4*s, 2*s = 4*s - 2*g. Solve -s*f = -6*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-157)\/(-78) - 4\/(-26))*(39 + -45) + -14?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4948*0.1\nAnswer: -494.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*n + 46 - 1, -5*u = 2*n - 35. Suppose 0*d - u = -d. Suppose -2*b = -6*b + 4, -d*p - 3*b - 7 = 0. Sort -5, p, 3 in descending order.\nAnswer: 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 20 = 7*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r. Let u = 22 + -20. Let j(p) be the first derivative of -u + 0*p + 1\/2*p**2. Calculate o(j(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -196*h**2 + 4504*h + 80. Calculate m(23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.613765 kilometers?\nAnswer: 6613765000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 12:34 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1835 - 1781 = 9*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -3480\nAnswer: -139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 5230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 3*i**2 - 3. Let t(c) = 8*c**3 - 11*c**2 - 11. Let h = -25 - -19. Calculate h*t(z) + 22*n(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7307, 7309, 7311?\n\"Answer: 2*b + 7305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 - 23?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-11))\/j*j**(3\/7))\/(j**9\/j**(-16)) assuming j is positive.\nAnswer: j**(-249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 66, 8\/5 in decreasing order.\nAnswer: 66, 8\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22482, -179853, -607022, -1438893, -2810370, -4856357, -7711758?\n\"Answer: -22484*h**3 + 5*h**2 + 2*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 617102, 617098, 617092, 617084, 617074?\nAnswer: 617062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20100010210 (base 3) to base 5.\nAnswer: 12443021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*n - n. Suppose t - 5*l + 5 = 14, 4*l = t - 7. What is the remainder when n is divided by 96\/5 + t\/5 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:40 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 times -0.027?\nAnswer: -3.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014144 (base 5) to base 4.\nAnswer: -13322220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 3b1478?\nAnswer: -3b1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 0*i = -4*i + 18, 2*j - 6*i + 20 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-15) + (-4)\/10. Let v(l) = -l**2 - 33*l + 73. Let o be v(-35). Solve h*b = o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 2\/7, 327\/4, -3, 2\/15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 13\/(-156) + (-3143101)\/(-156)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q**2 + 2*q - 1. Suppose 7*x = 12 + 16. Suppose x*k + 16 = 8*k - 3*i, -4*i - 21 = -5*k. What is n(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*u - 2925 = 302*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 15 = 3*p. Suppose -2*d - p*h = -50, -5*d - 6*h = -h - 110. What is the highest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1419 by -3.\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Suppose 2*w - 3*r - 13 = c, -9 = -3*w - 2*r + 4. Suppose 3*t + 5*v - 37 = -0*v, -3*v + 35 = w*t. Solve t*d = 3 + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2377819784 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -5, 0.3, -890?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 93500425087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-13 - -1) - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5\/8 + 783*i**4\/8 + 25347*i**3\/4 - 26133*i**2\/4 - 50697*i\/8 + 51483\/8 = 0. Calculate i.\nAnswer: -131, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 756808149 or 756808150?\nAnswer: 756808150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 7.2. Let m = s - 5.8. Let f = -4.9 - 1.1. Which is the third smallest value? (a) 4 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -0.5, -0.3, -25.4493, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -746*x = -780*x + 69428. What are the prime factors of x?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-10)\/1))\/(8514\/255420)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4816, -9600, -14384, -19168, -23952, -28736?\n\"Answer: -4784*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.078 in -21, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 44*i + 45*i - 109 = -2*o, 5*i = 3*o - 103 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 28*i + 1. Let n(g) = -27*g - 1. Let w(p) = 5*c(p) + 6*n(p). Let r be w(-1). List the prime factors of (-122)\/(-6) - 7\/r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(95) + (sqrt(95) - (4*sqrt(95) + sqrt(95))))*-1)\/(-4*sqrt(35)\/(sqrt(77)\/sqrt(11))).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.143891 centuries in millennia?\nAnswer: 0.2143891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -139)\/((42075\/110)\/(-153))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8087*t**3 + 20247 wrt t?\nAnswer: 24261*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.3, -2.1, -4\/3.\nAnswer: -2.1, -4\/3, -0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*((-10)\/(-5) + (-12)\/5). Let n(p) = 93425*p**2 - 10 - 15*p + 4*p + 7129*p**v. Let x be n(-6). What is x rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 510 + -503. What is the third derivative of 9*v + 2*v**4 + v**2 - m*v**4 - 4*v**2 + 9*v**5 wrt v?\nAnswer: 540*v**2 - 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1405, -1392, -1365, -1318, -1245, -1140?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 21*j + 127. Let x(z) = -61*z - 379. Let t(b) = -8*a(b) - 3*x(b). Is t(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.538 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/10)\/((-4)\/(-20)). Put 3, 4, h, 2 in increasing order.\nAnswer: h, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1354, -1895, -2436, -2977, -3518?\nAnswer: -4059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303512 by 27592.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 34*l - 49. Let i be a(-29). Suppose 10*t - 14*t = -i. What is the remainder when 69 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 563281250?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5204.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -1\/3 (b) -1\/23 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7770.325 rounded to the nearest 10?\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(114))\/sqrt(2))\/(sqrt(9)\/(sqrt(363) - (sqrt(363) + (sqrt(363)*1 - sqrt(363) - sqrt(363)) - sqrt(363))))*6.\nAnswer: 792*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -29*d - 6. Let r(b) = 4 - 9*b - 6*b + 2*b + 32*b. What is -8*r(a) - 5*u(a)?\nAnswer: -7*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*l = -143*l + 7755. Let n = 2494 - l. List the prime factors of n.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 5 - 13) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 96 = 6*u. Solve u*o + 8 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 + 121*q**2 + 42*q + 355. Let t be g(-30). Let j(y) = -y**3 - 3*y**2 - 9*y + 6. Determine j(t).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 10*m - 9*m. Suppose -2*i - 2*g = -0*g - 78, 0 = -3*i + g + m. Let r = 181 - i. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 5. Let c(y) = -3*y + 10. Let o(t) = -3*c(t) - 5*j(t). Let f be o(-6). Factor p + 2*p**2 + p - f - 3*p**2.\nAnswer: -(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 307, 1644, 5257, 12286, 23871, 41152, 65269?\n\"Answer: 190*u**3 - 2*u**2 + 13*u + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 - 11*k**2 + 14*k. Let d(v) = -v**3 + 2*v**2 - 3*v. Calculate 5*d(f) + y(f).\nAnswer: -f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 93, 200, 347?\n\"Answer: 20*c**2 + 7*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8756926741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*l + 1151 - 84 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10310*d**2 - 70*d - 69. What is the units digit of r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-10) + 2*6\/60. Solve 0 = j*q - 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.33 - -3.13. Let g = t - 2.944. Let f = -0.08 - g. What is f rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30263 is divided by 9414.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05752877 rounded to 3 dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5e2daf (base 16) to base 12\nAnswer: 209797b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 61*x + 218. Let j be n(-3). Solve 0 = -s - 6*s + j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.013 - -0.013. What is the closest to f in 3, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 1, z: 5, j: 2}. What is prob of picking 2 j and 1 k?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 + 3*k**2 - 2. Let w(o) = 8*o**3 - 5*o**2 - o + 5. Calculate 2*w(v) + 5*x(v).\nAnswer: -4*v**3 + 5*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i*i**(-11)*i)*i)))**(16\/5)*i*i**(-12)*((i\/i**(2\/47))\/i*i)\/i assuming i is positive.\nAnswer: i**(5677\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 - 8.87. Let x = i + 8.5. Which is the second biggest value? (a) 4 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*r = -198*r - 39. Sort r, 0.2, -3\/10 in decreasing order.\nAnswer: r, 0.2, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 522*f. Let k(i) = 2*i**2 + 64*i. Determine a(k(x)).\nAnswer: 1044*x**2 + 33408*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/552454412 or 1?\nAnswer: -3\/552454412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 15*s**2 + 2. Let o be u(-15). Suppose -o*p - 3*p = 50. Let c(k) = -k - 7. List the prime factors of c(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ffubfbbfbffbfufffb?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -129?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1812657*f**2 + 84958*f + 2?\nAnswer: 3625314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 222, 438, 640, 822, 978, 1102, 1188, 1230?\n\"Answer: -d**3 - d**2 + 226*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**3 - 272*z**2 - 267*z + 270. Calculate m(69).\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + (-10 - (-4 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:32 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1837588 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-227 + 372)*4\/10 is divided by 4\/(-6) - (-47)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16717, -18912, -21107, -23302, -25497?\nAnswer: -27692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - 10*y**2 + 12*y. Let v(q) = 2*q**3 - 9*q**2 + 10*q. Calculate 5*g(c) - 6*v(c).\nAnswer: -2*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3461 + 1569. Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 19*u + 61. Give h(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1)*(-7 - -2). Sort -0.3, z, 3 in increasing order.\nAnswer: -0.3, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/5337 + -1781\/5337. What is the fourth biggest value in -3\/4, -0.3, u, 19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-25)*-136*630\/672\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -764807, -764805, -764793, -764765, -764715, -764637?\n\"Answer: i**3 - i**2 - 2*i - 764805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a meter in centimeters?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213 = -227*z - 830 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 14) to base 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c - 373 = 49*c + 567 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}